diff --git "a/data/dm_maths/full_data_1/10384_11255.jsonl" "b/data/dm_maths/full_data_1/10384_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10384_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 951 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2725 + -2646. What is the third smallest value in z, 3\/2, -0.5, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 - f. Let w be l(0). Let x = w + 1. Solve -3*q = 10 - x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 321, 331, 355, 399, 469?\n\"Answer: p**3 + p**2 + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-42)\/805*9\/(-27)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2 + 13. Let f(s) be the first derivative of -8*s**3\/3 + 1. Calculate h(f(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1977.2 * 52\nAnswer: 102814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(35\/(-15)*(-10)\/5145). Solve q - 32 = -23*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkikouh. What is prob of picking 1 h and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4394 - 2197 - 2197 - 2251*w.\nAnswer: -2251*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = i - 81, 0 = -4*u - 3*i + 327. Calculate the greatest common divisor of 135 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a8222 (base 11) in base 10?\nAnswer: -318375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -179 (b) 4 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24683223 and 1891.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481496 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.760175621 rounded to 4 decimal places?\nAnswer: 0.7602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + w + w)*(-328 + 992 + 413*w - 328 - 339).\nAnswer: 2891*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -544 + 543.9672. Let h = 0.0327144 + x. What is h rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3695952 and -37\/2309970.\nAnswer: 18479760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21708 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 66114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + t + 9 = 0, 4*d - 5*t = 17. Let c = 41 + -40. Suppose 3*p - 3 + 6 = 0. Sort d, p, c in ascending order.\nAnswer: d, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16899 and 103200.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 53 = -2*i + 5*i, -2*i = -4*o + 58. What is the greatest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = 9*y - 29*y. Suppose y = 24*u - 33*u + 216. Solve -i - u = -4*k, k + 3*k = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26550, -52784, -79018, -105252?\nAnswer: -131486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdd when three letters picked without replacement from ytodtyodddyddydydyyo?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 - 3?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 78*t**3 + 8*t**2 - 10. Let x(f) = -8*f**2 + 1. Determine -g(d) - x(d).\nAnswer: -78*d**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 2993440.\nAnswer: -13\/748360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 1 (b) 5 (c) 3\/5 (d) -0.3 (e) -75\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -15*m**3 + 14*m**2 + 2*m + 2. Let t(u) = 74*u**3 - 70*u**2 - 11*u - 11. Let i(h) = -11*b(h) - 2*t(h). What is the third derivative of i(r) wrt r?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7128, -7148, -7164, -7176, -7184, -7188, -7188?\nAnswer: -7184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*t**3 - 3 + (4*t**3 + 0*t**3 - 3*t**3)*(-4 - 1 + 2).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/15551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:21 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 l when three letters picked without replacement from hilihlkhllkkslhll.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 106.625. Let i = q - 7. Let z = -0.266 + i. What is z rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d\/(d*d**(-2))*d*d*d)\/d))\/d**(-7)*d**(-1\/8)*d**(3\/10)*(d**9*d*d**(-9))**43 assuming d is positive.\nAnswer: d**(1887\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 233*d - 13167. Calculate y(-97).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5834 bigger than -5834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 3301?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1342*v + 176. Let h(c) = -2013*c + 266. Let j(o) = -5*h(o) + 8*i(o). Is j(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*f = 4*f - 6, 25 = 3*i + 5*f. Put -2, i, -5 in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5678*c + 5*c**2 - 5678*c + 4*c**3 in the form a*c + l + i*c**2 + k*c**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*x + x + 198, -2*x = 2*v + 76. Suppose 2 = 4*w - 6. What is the hundreds digit of 118 + (x\/w)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let b(p) = 15 - 2*p**2 - 4*p**2 - 1 - p**3 + 5*p**2. List the prime factors of b(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 + 3*x + 21. Let y(f) = -5*f**2 + 4*f + 21. Determine -4*n(s) + 3*y(s).\nAnswer: s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/127 - 135\/508. Let w = -0.11 + 0.01. Which is the nearest to 2? (a) w (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564832003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332310003 (base 4) to base 2.\nAnswer: 111110110100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -p - 36 + 40, -89 + 219 = -34*n + 4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = 4*q - 29, -3*q - 4*l = -3. Suppose -5*t = q*f - 35, 3 = t - f - 4. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1074 divide 312653214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2669\/(-314)*(-72)\/(-3876)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, 53?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-18)*186\/(-62).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1515 - -1522. Solve 4*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 167460?\nAnswer: 4353960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 23 + 16 + 126)*(-2*q**2 + 0*q + 0*q) in the form k + d*q + a*q**2 and give a.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 227090726 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 14*l**2 + 4*l - 8. Let r be v(-13). Suppose -s + 3*o = 2*s - 297, o = -s + r. Suppose 5*j + 3*j - s = 0. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 14) in base 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 22*f**2 - 21*f + 46. Let z be n(-23). Let x = z - -4. Put -1, 8, x in increasing order.\nAnswer: -1, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v. Let b = 1528 - 1526. Suppose 5*x + 3 = b*a - v*x, -x - 19 = -5*a. Solve -m - a = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attttatttttaattautaa. What is prob of sequence au?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 5*g = -48*g + 45900. Solve g*w - 4 = 1021*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - c + 2. Let o be r(-4). Suppose -o*a = 1 - 25. Solve -4*p = -0*n - 2*n + 18, 4*p + 20 = a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 15) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymyo when four letters picked without replacement from myyymommmy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 + 0. Let q = g - 1.8. Let k = 0.3 - -1.7. What is the nearest to 0 in 3, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -373 + 481. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -171 + -1?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18667 + 26440. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616835 (base 14) to base 2.\nAnswer: 1100100001100111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = c + 22. Solve c*b = -5*w - 15, 3*w + b + 5 = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 7*f - 5*f + 37*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 13. Let g = k - 36. What is the remainder when 71 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 1404.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0*x**5 - 60*x + 9*x**2 + 0*x**4 + 0 - 1\/3*x**3 + 9\/10*x**6. Find the second derivative of y(b) wrt b.\nAnswer: 324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/11, 0.3, -1\/10 in increasing order.\nAnswer: -0.2, -1\/10, -1\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6138 and -81\/2024.\nAnswer: 564696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374\/4*9176\/(-25234).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1110011100110100?\nAnswer: 1110011100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 2, t: 4, q: 1, n: 3, r: 1}. What is prob of picking 1 r, 1 q, and 1 n?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -37) + 21 + (-16 + 3 - 14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 - 22 = 0. Let p be 9\/27 + (-12113)\/c. Suppose 10723 = 5*m + p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11564*q**3*s**3 - 3*q**2*s**3 + 2398*q**2*s wrt q.\nAnswer: 69384*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/4 - 105*i**4\/4 + 150*i**3.\nAnswer: -3*i**3*(i - 5)*(i + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - -52 - -1*1. Suppose -384 = -4*f + 3*k, 0 = -3*f - 5*k + 209 + 50. Let m = f - t. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from tnnnntntjcntjntnnj.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16\/7 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -3*n, 2*z + 42 = 5*n - z. Let x be (n\/4)\/(2\/4). Suppose -2*f + 115 = x*f. What is the remainder when 44 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344325 is divided by 49189.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-18)\/189 + ((-95)\/60 - -3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1057 - 2284. Let n = m - -1231.91. What is n rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from uussssssuussiussuusu?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhcghgrrhggchhrh. What is prob of picking 1 h, 1 g, and 2 c?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -572\/21 + 83\/3. Let z = -139286.4 - -139286. What is the nearest to z in 1\/2, 0.08, i, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 108. Let n = 67 - 14. Calculate the remainder when n is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 16638177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 357815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/((-8)\/72). Let l be (12\/9)\/(o\/27). Calculate the greatest common factor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 806865a?\nAnswer: 8068659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2989 divided by 2694\nAnswer: 2989\/2694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let u(q) = -25 + 57 - 28 - 6*q. Give u(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m - 2. Let n(s) = 2*s**2 - 116*s - 3119. Let h be n(-20). Let r(a) = a. What is h*l(d) - r(d)?\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(0*a**4 - a**4 + 0*a**4).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 2\/5, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 6*f**2 - 6*f + 3. Let y(q) = -q + 4. Let m be y(0). Calculate the smallest common multiple of 12 and c(m).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/12050 and 69\/4820.\nAnswer: 24100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 + -7)*(1 + 0). Let z(d) = -d**2 - 21*d - 5. What are the prime factors of z(i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 0*r + 2*r - 28, 10 = -2*i + 5*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2385452 divided by 1?\nAnswer: -2385452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Suppose j*p - 1 = 4*q + 5, 4*q = -p - 15. Is -5 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 1724813.\nAnswer: 1724813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 122*j**2 - 41*j + 4. Let w(u) = -4*u**2 + u - 1. Let g(r) = t(r) + 3*w(r). What is the second derivative of g(y) wrt y?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11706 (base 14) to base 9.\nAnswer: 64314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 1, -12, -17, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*b + 1319, 5*p = 4*b + 8*p - 1289. Calculate the remainder when b is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 - 2*y - 11. Let i be n(-5). Let a be 5 + (i - 4) + 15*1. Let g be (-7)\/(a\/48*(-4)\/(-10)). Is -0.1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 6*l = 3*l - 24, -5*l = 5*s + 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b*b\/((b*b*(b**(-2\/33)*b)\/b)\/b)))\/b))\/b*b**(-1\/6)*b)\/(b*b**(-3\/16))**(10\/3))**43 assuming b is positive.\nAnswer: b**(-9245\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*s + 7. Suppose 21 = -4*a + 9, 0 = -s*g + 2*a + 1236. List the prime factors of g.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14612 and 104.\nAnswer: 29224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -8*a + p + 13, -2*p + 6 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from poppxxxxuoouoxxup.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 61 = 5*m - 19, 4*m - 3*w = 64. Solve -h - 2 = -p, -h + 4*p = -m + 33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-33176)\/(-6))\/11*3\/(-2). Let h = f + 2028. Calculate the highest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 7*s + 2. Let g be i(6). Let u be 773\/20*(-356)\/g. Let c = u - 3441. Find the common denominator of -59\/4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3582.6577 - -3583. Round x to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 + 5*q**2 - 15*q + 6. Let a(w) = -7*w**3 - 3*w**2 + 8*w - 3. Let k(j) = -11*a(j) - 6*d(j). What is the units digit of k(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33355*h**6 + 12*h**2 - 53*h - 32.\nAnswer: 4002600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -18 - 132. Suppose -13*p - i - 304 = -m*p, 451 = 3*p + i. Is p >= 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l. Let r(m) = 2*m - 3. Let j(a) = -6*a + 6. Let u(n) = -2*j(n) - 4*r(n). Give v(u(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 + 2737936*g**3 + 468452631184*g**2 - 22490457671424*g + 269904417997824 = 0. Calculate g.\nAnswer: -342266, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 + 5. Let f = 0.2 - q. Is f at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let o(v) = -3*v - 3. Calculate -f(r) + o(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 30*j**4 - 108*j**3 + 162*j**2 - 81*j = 0. What is j?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5\/9 - 412*x**4 - 886556*x**3\/9 - 4186636*x**2\/3 - 2109760*x + 3604224 = 0. Calculate x.\nAnswer: -456, -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -698, -5, 2, 5 in increasing order.\nAnswer: -698, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10111?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, -17\/6, 1.2, 4\/3?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -197 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -59, -7, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*1*sqrt(2450))\/(6*(sqrt(80)\/(sqrt(8) - sqrt(72)) - sqrt(10))*-1).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454 plus -9?\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1690b6 (base 13) to base 3\nAnswer: 1001120201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + o)*(2 - o**2 - 2) + (o - 5*o + 3*o)*(-15*o**2 - 379*o**2 + 91*o**2).\nAnswer: 302*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5325 and 24?\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Solve 0*y = 4*y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k + 185. Determine c(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265453 = -4*r - 292947. Let v = -402199 - r. Let k = v + 179599. Round k to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 6 (c) 358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/7 + 7*g**2 - 575*g\/7 - 625\/7 = 0. Calculate g.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(3\/2*8\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 52*m + 1497*m**3 - m**2 + 1494*m**3 + 1498*m**3 - 4499*m**3 to the form i*m**3 + z + k*m**2 + g*m and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.69 - -35.\nAnswer: 49.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577649 divided by -14?\nAnswer: -2577649\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291694, 291679, 291664, 291649, 291634, 291619?\nAnswer: 291604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 4. Let v(d) be the second derivative of -d**3\/6 - d**2 - 3*d. Let q be v(-2). Suppose q = -5*a + 2*a + 9. Calculate u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:50 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 5*m**2 + 6*m - 3. Suppose 2*a - 4*a + 10 = 0. List the prime factors of o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 0, 2*t = -2*t - 5*g + 5. Suppose r = -t*r - 1. Let x(b) = b**3 + 1. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/(-9) - (-4)\/6. Let w(s) = -4*s - 6. Let a(i) = -i - 2. Let g(q) = 6*a(q) - w(q). What is g(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 16. Give k(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -52?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.05 (c) -192 (d) -1 (e) 48 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -20, -3, 2, 5 in increasing order.\nAnswer: -20, -3, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*o - 1, -3*o + 2*l + 5 = l. Let i(s) = s**3 - 3*s**2 + 3. Calculate i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96439896 and 12312?\nAnswer: 96439896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 24*k + 113. What are the prime factors of t(-44)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012253184 to seven dps.\nAnswer: 0.0001225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2, 1, -646 in descending order.\nAnswer: 2, 1, -2, -5, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.8 - 70.6. Sort 0, -0.17, f, 3\/2, -2 in decreasing order.\nAnswer: 3\/2, f, 0, -0.17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 7}. What is prob of picking 3 h and 1 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 2\/17 (b) 0.3914 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -543, -593, -555, -387, -47, 507, 1317?\n\"Answer: 7*w**3 + 2*w**2 - 105*w - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 138 = 114, -43 = 3*k + 5*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - 24*t + 2*t**2 - 5*t**2 + 59*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, y: 5}. What is prob of picking 1 u and 2 y?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 less than -1477?\nAnswer: -1478.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082100 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j - 408 = 32*j - 128 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -21.09. Let l = n - 0.09. Which is the smallest value? (a) l (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 14 (c) 4\/7 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36254 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018677748 to the power of 1\/3, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z - 3. What is the tens digit of z\/(-1) + 3 + 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -40*r + 251. Let f(n) = -21*n + 125. Let o(t) = 5*f(t) - 3*x(t). Let j be o(9). Solve w - 11 = -j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 15 - 1 - 16. Sort o, 2, -44, -5, 1 in decreasing order.\nAnswer: o, 2, 1, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53522 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 188 and 188 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 1625*x + 69870.\nAnswer: 5*(x - 274)*(x - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1\/4 (b) -2\/15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycosyecsnyy. Give prob of picking 1 s, 1 o, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*c - 117 + 7, -4*m - 15*c = -25 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) + sqrt(204)*2 + sqrt(204)))\/(sqrt(108)*5) - (sqrt(85) - sqrt(85)*2*3 - sqrt(85))\/(sqrt(40)\/(2*sqrt(8))).\nAnswer: 176*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620159.\nAnswer: 620159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 41, -4\/7, -11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) + -1*sqrt(378) + sqrt(378))\/((sqrt(294) - sqrt(294)*2 - sqrt(294)) + sqrt(294)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppllppppppppp. What is prob of picking 2 p?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40\/1291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816527?\nAnswer: 17, 43, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -19*f + 2568. Let i(s) = 431*s - f*s - 218*s. Let y(l) = -68*l. Determine i(y(c)).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204418063 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**3 - 3659*v**2 + 7338*v**2 - 3679*v**2.\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 226396 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 33*s**5\/10 - 13*s**4\/24 - 5*s**3\/6 - 10*s**2 + 3*s. Find the second derivative of q(l) wrt l.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -524?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 29644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205287*r + 37 = -205280*r + 3*q, 3*r - 2*q + 63 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 - 157. Suppose -3*x = -0*x. Sort z, x, 1 in decreasing order.\nAnswer: 1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 120*l + 8 + 6*l**2 + l**3 + 14*l - 132*l. Give o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e726e (base 15) in base 10?\nAnswer: -4529804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1311 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6913554?\nAnswer: 2, 3, 71, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30094321995 less than 6?\nAnswer: -30094321989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:26 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/9)\/5*3. Let z be (-6 - v - -3)*1. Let h(g) = g**2 + 2*g - 6. What is h(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1)\/(28\/56) - 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*g - 5, -9*k + 5*k - g = -7. Is k - 1 - (-9785 + -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168\/(-32) + 5 - (-51)\/12 and (-642)\/(-30) + (-9)\/(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:37 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39981646.\nAnswer: 2, 4099, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35827.\nAnswer: 11, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1625, 6542, 14745, 26240, 41033, 59130?\nAnswer: 80537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bc960 (base 13) to base 6.\nAnswer: -51112445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 3317873?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759780 divided by -402.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44\/579 in 4\/5, -2\/5, -1, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(162) - (sqrt(162) + 3)**2) + sqrt(162) + 1)*1 + (-2 + 2*((3 + sqrt(162) + sqrt(162))*3 - sqrt(162)))**2.\nAnswer: 2952*sqrt(2) + 16796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -15*s + 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/336 - m**7\/105 - 65*m**4\/24 - m**2 + 18*m. What is the second derivative of b(r) wrt r?\nAnswer: 20*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2051111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300124 is divided by 74851?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-24)\/(-1464))\/((-1202)\/(-2))). Round x to the nearest 100.\nAnswer: 36700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/48*(-6)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 0 + 0*t + 3*t - 4*t in the form q + r*t and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = 4*q - 12, 12*q - 470 = -4*c - 434 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u - 1. Let s(k) = 17*k - 3. Let q(j) = 4*s(j) - 7*z(j). List the prime factors of q(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.5. Let f = -2105 - -2105.4. Which is the closest to f? (a) r (b) -0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -8 - -13 - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-4 - 144\/(-21)). Let g = 8767\/6 - 1458. Let h = g + -5\/3. Sort y, -3, h.\nAnswer: -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 3*s + 0*s)*(90 - 119 - 158) + 4*s + 4*s - 7*s to the form p*s + k and give p.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:18 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(77) + (sqrt(77) + -2*sqrt(77) - sqrt(77)))*-1 - sqrt(77)))\/(sqrt(1584) + -4*sqrt(1584)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*w + 2064 = 4285 + 3889 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 24 + 0*a - 14*a - 736 + 13*a)*(-4*a + 0*a - 5*a) in the form c*a**2 + h + d*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17845 = 92*k - 80196 - 94141. What is the highest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 - (-14 + 8 + -58 + 38)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6392?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 16)\/((-141)\/(-132) - 1). Let d = t - 130. Solve d*y - 13 = 5*k, k = 1 - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39*1.443998\nAnswer: -0.56315922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7462 is divided by 587.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(3 + 5 + sqrt(192) + 0 + sqrt(192)) + (-1 + sqrt(192)*-3 - sqrt(192)*-3*-4).\nAnswer: -168*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 157 = -k, k - 6*k + 19 = -2*i. Let r be 6\/5355*(9 + 0). Is k <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/7 + 214*f**4\/7 - 69108*f**3\/7 + 29336*f**2 + 880*f\/7 - 273792\/7 = 0.\nAnswer: -248, -1, 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 29.4607?\nAnswer: -22.4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*k - 59*k + 340 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -a - 3*a. Let g = a - 19. Let z(r) = -r**3 - 4*r**2 + 5*r - 4. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 96*c + 1251 + 1533 = -129*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111001101001001110100 (base 2) to base 10\nAnswer: 1888884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 + 2 = 3*b, -5*t + 6 = 3*b. Suppose 5*o + b = -8. What is the closest to -2\/3 in o, 4\/3, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/240)\/((2\/(-4))\/(2\/4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273882 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.8963738 rounded to 2 decimal places?\nAnswer: 87.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:07 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2520564405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8343320 rounded to the nearest 10000?\nAnswer: 8340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/8)\/(1\/2). Suppose -j = 2*v + 3. Is (-5)\/20 - 282\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, l: 2, b: 1, k: 1}. What is prob of sequence bq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(4) + -5 - sqrt(21)\/sqrt(75)) + sqrt(7) + sqrt(35)\/sqrt(5) + sqrt(7) + -5 + (sqrt(112) + -1 - sqrt(7)))**2.\nAnswer: -748*sqrt(7)\/5 + 11117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1677 - 1675. Solve 16*k - w = 14*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-3)*6*(-952)\/272*4\/(-70)?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0531 + -41.3531. Let k = 8.3 + b. Let v = 30 + k. Sort 1, -0.2, v in decreasing order.\nAnswer: 1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*q + 28*q - 54*q + 10*q**2 as o + w*q + p*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let h(z) = z**3 + 3*z**2 - 1 + x*z + 0*z**3 + 2*z**2. Let u be h(-4). Solve -j + 4*g - u = 0, j + 4*g = -j - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -30. Let c = 7.3 - 7. Sort c, w, 0, 3 in decreasing order.\nAnswer: 3, w, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/56 and -139\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 8*u - 12. Give a(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 6*b**2 + b**3 + 182*b + 1 - 2*b**2 + 224*b.\nAnswer: -9*b**3 + 4*b**2 + 406*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77)*-3 - sqrt(77)))*3)\/sqrt(11))**2 + 1 + (2 + (sqrt(252)\/sqrt(4) - sqrt(7)))**2 + -2.\nAnswer: 8*sqrt(7) + 598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2133 + -10141221?\nAnswer: -10143404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-28) + 322\/72. Let p = 293\/63 - x. Which is the nearest to 2\/9? (a) -0.5 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4958749505 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 328365, 0, 3.\nAnswer: -4, 0, 3, 328365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19391*a**3*k + 515*a**3 - 479*a**2*k - 193*a - 31*k wrt a?\nAnswer: 116346*k + 3090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:51 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3 - 11 - 2 - 11*j + 45*j.\nAnswer: 34*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2587 + -2583. Let i(b) = -3*b**3 + 5*b**2 - b - 5. What is i(s)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 10*j**2 + 11*j + 5. Let u be v(-11). Let p = -4 + 6. Suppose -u*z + 240 = 5*g, -28 = -z + g + p*g. Solve 0 = 5*x - z + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 7. Give k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + d)*(3*d - 3*d + d**2) - 4*d**3 + 8*d**3 - d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*s - 204235 = 312077. List the prime factors of s.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -82, 2490\/13?\nAnswer: 2490\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-15) - (-5)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3672*a**2 + 36. Let v(n) = -n**2 - 2. Calculate -j(w) - 18*v(w).\nAnswer: -3654*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 3*q = 14*s + 72, -120 = -3*s + 19*q. What is the greatest common divisor of s and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -40541*j**2. Let g(y) = -130*y**2. Calculate x(g(z)).\nAnswer: -685142900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202440, -804662, -1808366, -3213552?\nAnswer: -5020220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 17 = 12*x - d, 2 = x + d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2*p**6\/3 + 16*p**5\/5 - 3*p**4 - 16*p**3\/3 + 8*p**2 - 26. Let m(f) = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/2*(-8)\/6. Let m = 20 - u. Suppose g = -2*i + m*g + 732, -2*i = -4*g - 734. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*k + 42, 17 = 5*k - z - 61. Suppose -o + 2*p - 10 = 0, 2*o - 3*p = 7*o - k. Solve 2*a - 8 + 2 = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 30*a - 3400. Calculate m(95).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12) - (-4)\/3. Let m be ((-55)\/180)\/11 - (187\/(-44) + 4). What is the nearest to u in m, -0.05, 5, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 7 - 7) + (21 - 1). Let x(t) = 8*t**2 + 0*t - 3*t + 1 - t. Let n be x(-3). What is the greatest common divisor of n and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/9064 + -27157\/63448. Let f be (-4)\/(-11)*(-1)\/2. Put -20, z, -0.2, f in descending order.\nAnswer: f, -0.2, z, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9096200 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - -0.02. Let h = 0.833 + -0.033. Let s = h - t. What is s rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Let o be g(-8). Suppose -3*u = -o - 9. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 23. Let k = 33 - 31.6. Let s = -1.8 + k. Put s, -4\/5, i in decreasing order.\nAnswer: i, s, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 16*c**3 - 2*c**2 + 4*c - 3. Suppose 0 = -2*o + 8, -9*t = -6*t - o + 1. Calculate the least common multiple of 18 and y(t).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-2*(-1)\/8). Suppose -4*z = -2*p - 44, 0 = 3*z + p + 3*p - o. Let x be (2*1)\/(z\/18). Calculate the highest common divisor of x and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*i - 31 + 31 - 183*i.\nAnswer: -590*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25972)\/(-34) + -1 - (-6)\/51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - 2*h**3 + h**3 + (4*h**2 + 0*h**2 - 3*h**2)*(-6*h + h + 3*h) + 21*h**3 + 32*h**3 - 76*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -439*j + 3699. Let b be h(8). Sort b, 0, 4 in ascending order.\nAnswer: 0, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 + 116. Find d such that -39 + 10*d**3 - 14*d**2 + 23 + 6*d - 2*d**h + 16 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - r**3 - r**3 + (14*r**3 + 9*r**3 - 32*r**3)*(-10 + 2 + 6).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 735 - 729. Solve -2*d + s = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - t**4 + 2*t**4 + (-t**4 - 2*t**4 + 6*t**4)*(727 + 292 + 880 - 344) in the form x*t + d*t**4 + f*t**2 + j + v*t**3 and give d.\nAnswer: 4667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*t = -2*c + 14, -3*t + 6 = c. Let n be (c + -2)*(4 + -3). Suppose -3*d + 0*d = f - 3, -d + n = -4*f. Solve 3 + f = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 84*c + 1. Let x(i) = 14*i**2 - 336*i + 53. Determine -4*g(q) - x(q).\nAnswer: -6*q**2 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 60 = -o, 4*o - o + 3*l = 180. Let x = o - 68. What is the tens digit of ((-398)\/x)\/(6\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -6?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 14) in base 11?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + 3*m**2)*(0 + 0 - 1)*(-m - m + 4*m)*(-38 + 38 + 2*m).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-8759)\/(-5) + (-2)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(2736)*-2 + (sqrt(2736) - ((sqrt(2736) - (sqrt(2736) - (sqrt(2736) + sqrt(2736) + -1 + 4))) + sqrt(2736))))**2.\nAnswer: 96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 4*t + 178 - 178.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by -67\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*y**4 - 27\/4*y**3 - 81\/4*y + 81\/4*y**2 + 0.\nAnswer: 3*y*(y - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 - 252*j**4 - 8785*j**3 - 70116*j**2 - 118732*j + 59280 = 0. Calculate j.\nAnswer: -13, -10, -3, 2\/5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-77)\/(-11) + 3\/(1\/(-1)). Calculate the smallest common multiple of 10 and (-5)\/((2\/(-8))\/(v\/16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40215*a - 1383999 + 489039 = -10383*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 9. Solve 4*z = w - 10, -2*z - b*z + 2*w = 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 - 5 + 3*x**3 - 2*x + 5 - 7*x**2. Let f(o) = 22*o**3 - 21*o**2 - 7*o. Let m(c) = -2*f(c) + 7*l(c). Find the third derivative of m(j) wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (2 - (0 - -9))) + 7 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 1, s: 6, w: 3}. Give prob of sequence sf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11509\/23018)\/((-2*1)\/284)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)*l*l**(-2\/17)*(l*l**2)\/l*l\/(l\/(l*l**(-3\/5))*l*l) assuming l is positive.\nAnswer: l**(691\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-98)*3*(-8)\/36?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttwtttttttwt. Give prob of sequence tw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -375 - -375.4. Let x = -25.992 + -0.008. Suppose 0 = -2*m + 4*m. What is the third smallest value in b, m, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(1\/13)*t))\/(t**(2\/21)*t*t))\/(t**(3\/4))**(-8\/13) assuming t is positive.\nAnswer: t**(-740\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -458*s - 374*s - 208*s to r*s + j and give r.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 - 23*a**4\/4 - 19*a**3\/2 - 13*a**2\/4 + 3*a\/2 = 0. Calculate a.\nAnswer: -3, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1173)\/(-680))\/23)\/(2\/(-8)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -215, -266, -349, -470, -635?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -125\/24933 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-42) - 2138\/168 and 65\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -792*n + 15824. Calculate f(20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*f = -17, 3*o - 8*f + 3*f - 54 = 0. Suppose 0 = u - 2*u + 184. Calculate the greatest common factor of u and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/1)\/4)\/((-216)\/90).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-18))\/((-5)\/(-30)*-5*63\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 - (2 + (4 - 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 30 = -6. List the prime factors of 37\/n*2\/4*-54.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2874901 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -787*k**3 + 5424*k + 315*k**3 - 5423*k - 752*k**3 - 443*k**3 in the form y*k**2 + s + p*k + x*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 + 5*j + 10. Let r(q) = -q**2 + q - 1. Suppose -2*x = -7*x - 15, -f - x - 8 = 0. Let m(d) = f*r(d) + z(d). Differentiate m(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464480184 by -3318.\nAnswer: 139988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.7 - 80.7. Let j = 141 + m. What is the third biggest value in -2\/5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 2 (c) -1\/6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -28*v. Let b be (-10)\/(0 + -2) - -1. Let p be (-1 - (b + -8))\/(2\/6). Let h(s) = 9*s + p*s - 14*s. Calculate h(c(a)).\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 64?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/35490 and -211\/8365500.\nAnswer: 58558500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.27 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 594369, 594580, 594799, 595032, 595285?\n\"Answer: j**3 - 2*j**2 + 210*j + 594160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 30 (b) -4\/5 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) 6 (d) -0.1 (e) 388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5583*o + 5590*o + 406. Let g(t) = -62*t**3 - t. Let c be g(-1). Let k = o + c. Solve -k*s - 17 = 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 21. Suppose -4*i = -8, 2*a - 13 = -3*i + 7. Let p be n(a). Suppose 0 = 5*q - q. Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 292. Let s = j + 230. Solve -s*t + 4 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(1377) + -1 - sqrt(17)) + (sqrt(68) + sqrt(68)*6)\/sqrt(4).\nAnswer: -1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 35. Suppose u*c + 4*d = -12, 3*d = -c + 1 - 10. Solve c = 5*x - 46 + 66 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 49*b**2 + 5*b - 4. Let u be f(4). Suppose 3*l = -5*l + u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.185?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1826*d - 3*z - 9 = 1829*d, 42 = d - 8*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4 - 15*y**3 - 24*y**2 + 36*y = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 15*q + 81 = 0. Solve -13 = d - q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 19*h = -62988. Is 10 a factor of 4\/(-18) + h\/54 + -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4\/5, 13834, 1 in increasing order.\nAnswer: -5, -4\/5, 1, 2, 13834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*a - 9 = 0, -5*j - 95*a = -92*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -797201\nAnswer: 5\/797201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -113. Solve i*b + 25 = 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c3a (base 15) in base 8?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 23\/50, 10, -4, 0.1, -5\/2?\nAnswer: 23\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/252435 and 49\/45.\nAnswer: 757305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 4. Let i be l(-3). Suppose -4*t - 230 = -i*t. Let r = t + 166. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*x + 241, -v + 2*v + 76 = 5*x. Let k be ((-7)\/3 + -1)*(-161)\/((-3220)\/492). Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**5\/25 + 83*n**4\/20 - 27*n**3\/5 - 83*n**2\/10 + 82*n\/5 + 3151. Determine m, given that o(m) = 0.\nAnswer: -1, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7743883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2398 - 2398 + 17*q**2. Let r(z) = -z**2. Give r(h(d)).\nAnswer: -289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d. Let v be h(-2). Let t = -0.31 + 0.51. Let c = 7 - 10. What is the biggest value in v, c, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1303 (b) -8 (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13332223 + 20?\nAnswer: -13332203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -441026 < -440794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 9*s.\nAnswer: s*(s + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 480477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 24*z + 10*z - 2*z + 16*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((-4)\/2 + 0). Let l be (14\/(-8))\/(t\/8). Let m = 36 - l. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16003, -16119, -16307, -16567, -16899, -17303, -17779?\n\"Answer: -36*t**2 - 8*t - 15959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + -8.55. Let r = k - -8.8. Let n = 2.99 - -0.01. Which is the closest to 0? (a) n (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140849967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u = -36*u - 1989. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 4. Calculate the lowest common multiple of y(-6) and (2\/5)\/(8\/120).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2204 divided by 551?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(22\/4). Let q be ((-212)\/424)\/(((-20)\/5)\/2). Put q, s, -71 in descending order.\nAnswer: q, s, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -3 (c) 2 (d) -1.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -44 (b) 1\/4 (c) 1\/9 (d) 2\/3 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzeewwhehwwezzw. What is prob of picking 1 z and 1 e?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {t: 8, y: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10111001?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnrnnnnnnnrnrnnrnnn?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1228791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 694105.9 litres in millilitres?\nAnswer: 694105900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3762 - -3785. Is h >= 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7110 divided by 6\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124904097 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/13 (b) 9\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35173 is divided by 17199.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 613759.\nAnswer: 174\/613759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14811775906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121122 + -2102?\nAnswer: -201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1101020110020212?\nAnswer: 1101020110020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from xmzxxmmxxxmmimmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 11:13 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 661 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13275184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 187 = -16*w. Let g be w\/(11\/2) - -7*1. Solve -g*u - 24 = 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-238)\/357*(-315)\/(-8). Is l at most -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 5*f**2 - f + 2 + f**2. What is the units digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2485458 by -9.\nAnswer: 276162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 + 8 + -7 + 15. Suppose 4*z = -o, 14 = 5*t - 5*z - 6. Suppose t*p - 728 = -7*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5008, 15\/4 in descending order.\nAnswer: 5, 15\/4, -5008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(1045720*n**3 - 1045720*n**3 - 12736*n**5).\nAnswer: -25472*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(18)\/(-2*sqrt(9)*1).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 11, 2 in decreasing order.\nAnswer: 21, 11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 122557.8 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8\/p*p*p**(-2\/9))\/(p*p\/p**(2\/19)*(p*p**(-3\/10))\/p) assuming p is positive.\nAnswer: p**(10573\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 2*v + 3*v + 4*v**2 + 53*v**2.\nAnswer: 57*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 0 + 4 - 4. Let c be k(-4). Let w(t) = 2*t - 7. Let m(b) = -b + 4. What is c*w(i) + 7*m(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 4, 38 in descending order.\nAnswer: 38, 20, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8914 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/3)\/((-4)\/(-24)). Let f(z) = z + 34. Let j be f(s). Is ((-79)\/(-2) - -3)*48\/j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-868275)\/(-180))\/(-227)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.221 + 0.121. Let g(t) = -5*t - 4. Let h(o) = -14*o - 11. Let b(p) = 11*g(p) - 4*h(p). Let s be b(-4). What is the closest to a in 5, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -37. Sort g, 16, 3.\nAnswer: g, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3 + (-16)\/4). Which is the nearest to y? (a) -0.6 (b) 4\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4552 (base 7) to base 11.\nAnswer: -1274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38773, -40797, -42821, -44845, -46869, -48893?\nAnswer: -50917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaa. What is prob of sequence ah?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 31 = 32*b. Solve 6 = -s - 4*w + 25, -20 = -b*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870870 divided by 6?\nAnswer: 145145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**6\/20 + h**5\/5 - h**4\/24 - 2*h**3\/3 + h**2 + h. Suppose f(x) = 0. Calculate x.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (610\/1037)\/((-4)\/68) + -12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 9, 4, 8, 22, 12 in increasing order.\nAnswer: -2, -1, 4, 8, 9, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjllpojyy. What is prob of sequence jg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1)\/((-8)\/(-5037395780)). Suppose 13*w = -108251055 - u. What is w rounded to the nearest 1000000?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -5*r + 1. Calculate the remainder when r is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1 + 3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h**3 + 17*h**2 - 9*h. Suppose -c = s + 21 - 25, -5*c + 12 = s. Let k(i) = 5*i**2 + 0*i**2 + 11*i - i**2 - 13*i - 3*i**3. Give c*t(n) - 9*k(n).\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 485499.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 1173?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 59*v + 96 = -62*v, -v - 162 = -4*k. Is 924\/23 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636266601 to the power of 1\/2, to the nearest integer?\nAnswer: 25224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180.88742 - 181.09. What is q rounded to 3 dps?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1767)\/(-186)*(-9216)\/1368?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15179*v + 1 - 4250*v - 10911*v + 0.\nAnswer: 18*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -121301 (base 4) to base 9\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) 154 (c) 14 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/9040 and 71\/2756?\nAnswer: 6228560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35933 times 699\nAnswer: 25117167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 + 15*y**4 - 25*y**3 - 15*y**2 + 20*y = 0. What is y?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2186, 2970, 4350, 6326, 8898?\n\"Answer: 298*b**2 - 110*b + 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 8. Suppose -5*u + 3*w + 20 = p, 4*w = u - 10. Solve -2*b = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68654.92 centuries in months?\nAnswer: 82385904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**6\/36 + 7*s**5\/30 + 11*s**4\/24 + 5*s**3\/18 - 350. Suppose w(n) = 0. Calculate n.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562069 divided by 22?\nAnswer: 562069\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 126*k - 88. Let n(p) = -129*p + 89. Let w(t) = 2*j(t) + 3*n(t). Differentiate w(q) wrt q.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5299694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6733286629 - -6733292982.053883. Let g = 6353 - k. Let a = 0.054 + g. Round a to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 170 + 17*l**3)*(4*l**2 - 7*l**2 - 1 + l**2).\nAnswer: -34*l**5 - 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.23857.\nAnswer: -0.47714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2455, -4911, -7367, -9823, -12279?\nAnswer: -14735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4 - 21, -20 = 5*z + 2*a. What is the closest to z in 1\/4, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4049, -8104, -12151, -16166, -20125, -24004, -27779?\nAnswer: -31426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 11. Let m be i(-6). Let h be m + -4 - 4\/(-2). Suppose -2*d = h*d - 185. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**8\/320 + 3*f**7\/280 - f**6\/20 - f**5\/10 - 19*f**4\/24 - 11*f**2. Let c(w) be the second derivative of s(w). Factor c(b).\nAnswer: 3*(b - 1)*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10*f. Let h(i) be the second derivative of 0 + 39*i - 1\/6*i**3 + 0*i**2. Give h(k(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (92 + 0)\/(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = g. Let c(i) = 11*i + 2*i + 3*i**2 + i**2 - 4. Let u(r) = -2*r**2 - 6*r + 2. Give g*c(y) - 13*u(y).\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - ((49 - 49) + -23 + 9).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89813465 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: Suppose 0 = -4*a + 1 + 107. Let v = a + -16. Suppose v = -0*g + g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from aaaffaffaffa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 9*n**2 - 5*n + 7. Let p(k) = k**3 + 4*k**2 + k + 3. Let l be p(-3). Calculate s(l).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -264, -265, -266, -267?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/16 - -131\/176. Which is the nearest to 2? (a) q (b) -0.2 (c) -0.1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36254505 (base 8) in base 16?\nAnswer: 795945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1830 + -1830.09. Let t = 3.01 + -0.01. Which is the fourth smallest value? (a) r (b) 0 (c) t (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 59*d - 54*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/17, -2\/209 in decreasing order.\nAnswer: -2\/209, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2385709*x**2 - x + 12050418.\nAnswer: -4771418*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.01 + -5. Let g = 0 - f. Let d = g - -0.0099999. What is d rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -126*s. Let j(t) = 72*t**2. What is j(b(p))?\nAnswer: 1143072*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 - -148. Let t = 27 + -15. Calculate the greatest common divisor of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 667555.2 nanoseconds?\nAnswer: 667.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.39 - -0.09. Suppose -11*m - 16 = -15*m. Suppose -m*q + 2*q = 8, 0 = -4*z + 2*q - 24. Is z at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8640, -8784, -9118, -9738, -10740, -12220?\nAnswer: -14274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 12. Let t be o(4). Suppose 3*n - 3*q - 15 = 0, 0*q - 2*q = t*n - 44. Solve -n = 5*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -384257102, -384257060, -384257006, -384256934, -384256838?\n\"Answer: c**3 + 35*c - 384257138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/6)\/((-34)\/(-3621)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 53 + 56. Is ((-5283)\/6)\/(o\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 3*c - 17. Let z(m) = -5*m**2 - 2*m + 17. Let w(l) = -4*i(l) - 5*z(l). Determine w(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skr when three letters picked without replacement from rkkkkssksskkk.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1071 + -1061.8. Round y to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -994 - -989. Put 8, -0.3, -2, x in decreasing order.\nAnswer: 8, -0.3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 5 + 72)*(-117 + 117 + 15*g**2)*(-g**2 + g - 3*g + 2*g**2) to p*g**4 + d + j*g + l*g**3 + o*g**2 and give l.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48371863*f**3 - 59967*f + 182 wrt f.\nAnswer: -290231178*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:09 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 - c - 9. Determine h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (-5 + 12 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - 74\/(-8)*(-56)\/(-84). What is the nearest to 1 in -1\/3, -17, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/20 - v**4\/2 + 2*v**3\/3 + 12*v**2 + 208*v - 2. Factor w(t).\nAnswer: -(t - 2)*(t + 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20*k. Let n(q) = -21 + 161*q + 51*q - 85*q + 21. Determine n(t(p)).\nAnswer: 2540*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.036 + 0.036. Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -7*q**5\/60 + q**4\/2 + 13*q**2. Find the second derivative of c(y) wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 20. Suppose -35 = -7*v + k*v. Let t = 7 - v. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6406*m**4 + 14561?\nAnswer: -25624*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 29. Suppose 2*m - 4*l = t, -3*m + 73 = -0*m + 5*l. What is the lowest common multiple of 26 and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -124698, 221 in ascending order.\nAnswer: -124698, -0.4, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174.77 - -186. What is d rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 18 = -8*j + 4*x, 20 = 5*j - 3*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 6*p + 18. What is s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 10) in base 9?\nAnswer: -3017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-253544)*((-4)\/(-3))\/2. Let o = 3200953\/633860 + l. Find the common denominator of (-2)\/(40\/63) + 2 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - m + 147892, 1222*m + 29563 = h + 1220*m. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 + b. Let s be z(1). Suppose 3*l - s = 5*c, 0 = 3*l + l + 4*c - 44. Solve 2*d = -0*d - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 212041?\nAnswer: 212033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqchfbcbbf. What is prob of picking 1 b and 2 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 91*c + 1933. Calculate the remainder when 251 is divided by y(-20).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z + 424 = 0. Suppose -5*a + z = d, -a - 5*d - 108 = -5*a. Let t(b) = 1. Let r(o) = -7 - 6 + 3 + o. What is a*t(j) + 2*r(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102\/65509 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3\/2 + 2160*q**2 + 579975*q\/2 - 292145 = 0.\nAnswer: -119, 1, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*-4)\/((-20)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/4 + 13*l**3\/6 + 3*l**2 - 3*l. Let u be o(-5). Calculate the smallest common multiple of 36 and 48 - (7 + (u\/4 - 7)).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 1, l: 7, c: 3}. Give prob of sequence lt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915400 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2366)*(-2 + (-28)\/(-12)). What is the third derivative of -224*u**2 - m*u - 1 - 109*u**3 + 788*u wrt u?\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - (sqrt(30)\/sqrt(6) + 3 - sqrt(5))))**2 - (2*sqrt(405))**2.\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-224)\/(-6))\/(2\/6). Suppose -i = -30*i + 2175. Let r = u - i. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -0.0835.\nAnswer: 6.9165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a - 25*a - 34 = 4*a. Let q(d) = d - 5. Let f be q(9). Let o be f\/(2\/(-1)) - -2. Solve o = -0*w + a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 0. Suppose -s*b + 78 = 14. Let k be ((-9)\/((-1170)\/4))\/(b\/(-10)). Is 1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 3*q + 1. Let r be o(-3). Let p be (-50)\/(-22) - r - 1. Let b = 0.02073 + 4.97927. What is the third smallest value in 3, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 6630.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-272)\/(-72). Solve y*x = -4 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236877 is divided by 559132?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4457 is divided by 264.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*a + 27 = 2, 17 = -q + 4*a. Let i(g) be the third derivative of 0*g + 4*g**2 + 0 + 5\/6*g**q - 1\/24*g**4. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (1964\/(-6))\/((-4)\/(-7)). Let y = -1855\/3 - w. What is the common denominator of y and -71\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 + 1.9. What is the second biggest value in -0.3, 2\/3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-5)\/(-4))*-5. Suppose -d = 15*i + 10. Let l(v) = 15*v**2 - 4. Let o(a) = -4*a**2 + 1. Determine i*l(p) - 9*o(p).\nAnswer: 6*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 40*s - 6. Let m be w(3). Let f(g) = 3*g - 94. Let r be f(5). Let j = r + m. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + h = 6, -3*k - h = 3*h - 14. Suppose 3*o = a + 1624, 7*a - 9*a - 1088 = -k*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1903, 1380, 4663?\n\"Answer: 3283*z - 5186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i. Let t(x) = -6*x**3 - 2*x**2 + 1. Calculate -2*l(h) - t(h).\nAnswer: 4*h**3 + 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:04 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 - 5843*m**4 + 47286*m**2 wrt m?\nAnswer: -360*m**3 - 140232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 6. Let r be b(-7). Suppose -r + 4 = d. Solve 2*q + 3 - 2 = g, d*q = g - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(40\/70) - -52. Solve 45*h - j = 36*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z - 7*z - 21 - 35 = -5*m, -5*z - 35 = -3*m - 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5144 (base 6) to base 14\nAnswer: 5ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -46*a**3 + 9*a**2 + 926*a + 9. Let r(p) = -11*p**3 + 2*p**2 + 232*p + 2. Determine 2*l(v) - 9*r(v).\nAnswer: 7*v**3 - 236*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 4219*r**2 + 850325*r?\nAnswer: 12*r**2 - 8438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 16*f**2 + 219*f - 5860. What is w(21)?\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 7, 1, -4, 6, -2, 14 in decreasing order.\nAnswer: 113, 14, 7, 6, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1655*d**2 + 175168*d - 3629136.\nAnswer: (d - 1543)*(d - 84)*(d - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -1 + 59 + 2. Calculate the remainder when (-9)\/a - (-351)\/7 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -675324*i + 4914. Let m(n) = 687*n - 5. Give -5*g(v) - 4914*m(v).\nAnswer: 702*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 94*i + 420.\nAnswer: 2*(i - 42)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5)\/((k\/k**(3\/7))\/k*k))**(-20)\/(k**(-9)*k**(-2))**33 assuming k is positive.\nAnswer: k**(1781\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 - 5*h - 3. Let l be t(6). Let a be (6\/(-4))\/(l\/(-6)). Suppose 9 = 2*w + 1, 0 = -5*i - a*w + 42. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/4*(-20)\/75)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 3:18 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 955582 = -1102087 + 227607. List the prime factors of v.\nAnswer: 59, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 - 10*k + 19. Give n(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:20 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -144. Let y = 84 - o. Let z = y - -83. Which is greater: -9\/13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 + 519991?\nAnswer: 519991.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33344120 (base 5) in base 11?\nAnswer: -1906a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Put 4, q, 5 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 754.426 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:11 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 52*n = -3*r + 365730008, 3*r + n = 365729992. Round r to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*c + 906*c = -593*c - 99580 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*l + 0 + 1 = 0, -k = l. Suppose -2*v + 16 = -j, 0 = -v + 4*j + 2 - k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -10, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = z - 2 - 5, -5*z = 5*b - 55. Suppose z*u = 10*u + 15. Suppose u*c - 46996 = 6*c - h, 4*c + h + 188004 = 0. Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575697249 to the power of 1\/2, to the nearest integer?\nAnswer: 67644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let g be w\/3 - 20\/(-6). Find the third derivative of -2*u**3 - 3*u - u**2 + g*u wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - -13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151676 + 151952. What is the remainder when w is divided by 33 + (-1 - 0 - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 2, s: 4, u: 1, l: 3}. Give prob of picking 1 f and 2 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105942 rounded to 6 decimal places?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, 1306, 0.3, 2\/5 in descending order.\nAnswer: 1306, 2, 2\/5, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {v: 1, o: 1, s: 1, t: 2, m: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*r**3 + 11*r**2 + 11*r - 110895 wrt r?\nAnswer: -129*r**2 + 22*r + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1897975 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*2 + sqrt(130) - sqrt(130))*-4 + sqrt(130))\/sqrt(10) + (-1 + sqrt(117) - (sqrt(13) + 1 + 2 + sqrt(13))).\nAnswer: -6*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/7 - 20*n - 138\/7 = 0.\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5875084 to the nearest integer?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9*11\/165)\/(3\/45)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47502064 a multiple of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -53. Let t = -74 - f. Let q = 55 + t. Which is the biggest value? (a) 0.4 (b) q (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0554 + 24.2446. Let w = g - 24. Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**2 - 822*c + 15953. Give o(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 774 divided by 3\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (637 + 137*h - 637)*(3 + 3 + 0).\nAnswer: 822*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 2, z: 1}. What is prob of sequence fk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 + 11*c + 12. Calculate the smallest common multiple of j(-1) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1) + 5 + 5. Let q(m) = -159*m + 31877. Let o be q(200). What is the greatest common divisor of o and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.147779204 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035404.\nAnswer: 2, 313, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 7*i - 10. Let q(u) = -u**3 - 23*u**2 - 20*u + 48. Let s be q(-22). Let p be c(s). Factor -1\/2*x - 1\/4*x**p + 3\/4.\nAnswer: -(x - 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**7\/42 + 23*r**3\/3 - 23*r + 44. Let w(g) be the first derivative of d(g). Find the second derivative of w(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226654749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 30, -74 in decreasing order.\nAnswer: 30, -40, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 181. Let c(d) = -d + 181. Let p(k) = -2*c(k) - 2*u(k). Let m(j) = 2*j**2 + 3220*j. Calculate m(p(a)).\nAnswer: 8*a**2 - 6440*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219 - 71 + 290 - 4*h - 80*h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 12}. What is prob of sequence te?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20 = -86. Suppose -4 + 24 = 4*t - 2*j, -j = -4*t + w. What is the highest common divisor of t and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 187, 189, 191, 193, 195, 197?\n\"Answer: 2*d + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6065 - -11543. Is 48 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-40) + (-36)\/90 - (-1675)\/(-200)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x - 2*x. Let g be (-16)\/(-80) - 13\/x. Sort -3, -41, g.\nAnswer: -41, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 6. Suppose 6*p = -51 - 21. Does 9 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**2 + 9. Let c(t) = 3*t**2 - 35. What is c(q(o))?\nAnswer: 507*o**4 - 702*o**2 + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75\/20 - 2) + 2\/8. Solve 5 - 7 = x*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 13*b**2 + 13. Let g(f) = f**3 - 3*f**2 - 3. Let x = -84 + 90. Suppose 0 = 5*m - 109 - 21. Calculate m*g(q) + x*o(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121 + 10021010100102?\nAnswer: 10021010011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -4*l + 391. Let a(x) = -13*x + 17 - 23*x - l*x + 60*x. What is a(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = 15. Let d(t) = -9 - 9*t**2 + 3*t**3 - 4*t**x - 2 - 11*t. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5273*v - 2457*v = 357*v + 3028*v - 55575 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 4. Let n = -5 - -3. Let x(d) = 4*d + 12. Let f(s) = n*x(s) + 7*o(s). Suppose -480 = -79*m + 152. What is f(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/3, 172, 35\/3, -0.1 in decreasing order.\nAnswer: 172, 35\/3, 5, -0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 97.\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2668616000 to the nearest 1000000.\nAnswer: -2669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 222\/72)\/((-1)\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-14 + ((2 - 9 - -10) + -13 - -17)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 192476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-24))\/((-15)\/(-160)*4) + 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {f: 1, u: 1, m: 3, k: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207981 + -174042.939.\nAnswer: -382023.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n*n**(3\/5)*n**10\/(n*n*(n*n\/(n**2*n*n*n))\/n))**(1\/7) assuming n is positive.\nAnswer: n**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 8. Let m = 47 - 57. Let f = b + m. What is the closest to 0.2 in -1, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 (base 12) in base 5?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 10*t + 12*t + 9 - 4*t wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = -5*a + 2248. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 + (-9)\/(-3). Suppose 0 = -3*b - 4*z + s, 2*b - 7*b + z + 22 = 0. Let i be b\/(-22) + (-92)\/(-22). Solve i*c + 29 = 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 840882 - 840882 - 42*r + 40*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 17761, 4, -2, -2.3 in descending order.\nAnswer: 17761, 4, -2, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 4*k. Let r be 5 - 2\/(2\/1). Sort k, r, -4.\nAnswer: -4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*u + 5 + 5, 5*g - 2*u = 25. Suppose -g*n = 6 + 4. Sort 5, -1, n in ascending order.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 2. Let j be o(-2). Suppose 0 = j*i - 3 - 5. Let l be i\/6 + (-526)\/(-6). What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**17\/h)\/h*h**(-1\/9))\/((h*h\/(h*h**(-11)\/h))\/h)**(10\/3) assuming h is positive.\nAnswer: h**(-226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w**2 + 2*w**2 - 3*w**2. Let v(t) = 1335*t**2 - 1 + 1 - 1333*t**2. Calculate x(v(a)).\nAnswer: 56*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1332 (base 6) to base 3\nAnswer: -110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-6)\/28*-1). Suppose -12 = -3*q + g. Suppose 5*b + 4*d = -0*b + 20, q = b - 2*d. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 272363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 2*q\/3 + 4.\nAnswer: -2*(q - 6)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**5 + k**4 - k**2 - k. Let i(z) = -z**5 + z**4 - z**2 - z. Let f(u) = -u - 7. Let o be f(-8). Let j(l) = o*i(l) - g(l). Factor j(y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.055 - -0.055. What is the second smallest value in -5, -0.3, 1\/9, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39 + 0.21. Let z = 0.3 + h. Let w be (104\/390)\/(6\/(-5)). What is the second biggest value in -3, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -221008794*l**4 + 39609473 wrt l?\nAnswer: -884035176*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/13, 1.4, 170, -1249?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 + 7 = 2*g, 4*t + 4*g - 12 = 0. Let u(b) = -b**3 - b**2 + b + 4. Let r be u(t). Sort -1, r, -3 in decreasing order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t + t)*(0 - 4 + 5)*(16 + 21 - 79).\nAnswer: -168*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4\/9315 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307088?\nAnswer: 2, 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -37 in descending order.\nAnswer: 10, 3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -2. Let v = 82 - z. Let l = v + -24. Which is the smallest value? (a) 2\/3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4126*p**2*v + 2*p**2 - 9089*p - 1 wrt v.\nAnswer: -4126*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1617 and 441.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -440.777 and -0.05.\nAnswer: -440.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 >= 9353\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591825 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106496 and 1592032.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -3. Let o = 12.7 - u. What is the nearest to -0.2 in -3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/13 - ((-9727)\/(-66885) + 4\/(-20)) and 82\/147.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z. Suppose 138*c = 143*c - 1075. Let t(r) = c*r - 197*r + 0 + 0. Determine t(x(k)).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150186 by 575093.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834428 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1 + 0*p - 23\/2*p**2 - 9\/4*p**4 + 0*p**3. What is the second derivative of h(g) wrt g?\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-6)*(-20)\/(-42)*-7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 e when four letters picked without replacement from {w: 2, p: 4, i: 2, b: 1, e: 2, s: 8}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112102210212 (base 3) to base 6.\nAnswer: -25251552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 + 11*w - 8. Give c(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 16*g - 12. Calculate the remainder when 89 is divided by y(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x + 105 - 4200. What is the greatest common divisor of 45 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 + -1.3.\nAnswer: 253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -1.16. Let t = -2.96 + 2.8. Let r = -12.84 + t. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1*-2)*(-10)\/(-15). Let x(f) = -4*f**b + 9*f - 43 + 47 + f**2. Let i(g) = -g**2 + 4*g + 2. Determine -5*i(h) + 2*x(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 3*a)*(744*a**2 - 280*a**2 + 1686*a**2).\nAnswer: 4300*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than or equal to -9.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94339, -94406, -94471, -94534, -94595, -94654, -94711?\nAnswer: -94766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 18.51.\nAnswer: 23.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*3)\/(75\/5125*41).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163224 and 1577832.\nAnswer: 4733496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18245.\nAnswer: 2\/18245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c**2 - 12*c - 16. Let s(h) = h**3 - 12*h**2 + 11*h - 1. Let g be s(11). Let z = g - 6. Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*o**4 - 2*o**3 + 5*o wrt o.\nAnswer: 3708*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:54 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -77*y**5\/15 + y**4\/3 + y**3\/6 + 9*y**2 - 12*y. What is the second derivative of v(d) wrt d?\nAnswer: -616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 5*b. Let o(t) = -t**2 + 2*t. Let m(h) = -5*o(h) - 2*w(h). Let v(i) be the third derivative of -7*i**5\/15 + 1372*i**2. What is m(v(s))?\nAnswer: -784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16962 and 40326.\nAnswer: 10363782","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*(9 + -8)*1. Suppose -12*v = -n*v - 10. Solve -5*r = 10 + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfuffftu. What is prob of sequence utff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10073917793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 3*q - 1 + q)*(0 + 4 + 1)*(-2*q**2 + 4 - 4) in the form u*q**2 + y*q**3 + g*q + t and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 5*n + 3*n**3 - 4*n**3 + n**3 + 4*n**3 + (-2*n - 12*n + n)*(n**2 - 3*n**2 + 4*n**2) + n**3 - n**3 + n**3 as x*n + j + m*n**3 + s*n**2 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 41. What is the remainder when (-383)\/(-5) - 6\/10 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 - -23\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2038, -8146, -18338, -32626, -51022?\nAnswer: -73538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 + 77 - 553 + 84 + 51*y.\nAnswer: 51*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*f - 3176, v - 2*f + 5*f - 1082 = 0. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:01 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 6. Find the third derivative of -o*h**5 - 3*h**2 + 9*h**2 + 7*h**5 - 2*h**5 wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 3, q: 5, v: 3, t: 1, n: 1}. What is prob of sequence cvqq?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:11 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -78, -82, -88, -96, -106?\n\"Answer: -c**2 + c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 5*y. Let a be u(4). Find the common denominator of 15\/2 and ((-70)\/147)\/(a\/(-30)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 2. Suppose r = -5*d + 13, 0 = d - 3*r + 1 + 6. Suppose -2*a - 19 = 3*v + 22, -d*a + v - 45 = 0. Let x = 19 + a. Calculate c(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**4*j + 431*h**2*j**2 - 11223*j**2 wrt h?\nAnswer: -12*h**3*j + 862*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -44\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24526 - 57426. Round r to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = p - 431, -319*b = -2*p - 324*b + 871. Does 67 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**3 + 31349*w + 638949 wrt w?\nAnswer: -9*w**2 + 31349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -289 + -41a1?\nAnswer: -444a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 1 = -14*g + 15*g, 3 = -3*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201 + -8. Let x = -113 + h. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106534, -213494, -320454?\nAnswer: -427414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 31. Let u be a(15). Solve u = -r - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94382 - 94381.99999906197. Round n to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87, -68, -27, 48, 169, 348?\n\"Answer: 2*z**3 - z**2 + 8*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1)*h*h*h)**26)**(1\/3))**31 assuming h is positive.\nAnswer: h**(4030\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -18*n + 704. What is the remainder when 141 is divided by n\/7 - (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, l: 3}. Give prob of picking 2 l and 2 n.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.592 - -0.208. Let t = o - -0.2. Suppose -s + 2 = -3. What is the closest to -1\/3 in t, s, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 0.070754098?\nAnswer: 0.00212262294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuhnkbkkhbhbvhn. Give prob of sequence nbu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-21)*(-108)\/(-60))\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 6, -8, -40, -96, -182, -304?\n\"Answer: -q**3 + 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:32 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 13*j**2 + 59*j - 171. Let r be k(16). Solve r*q + 22 = -4*i, -3*i = -q - 24 + 31 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946560 = -68*x + 7*x - 7*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145659493 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 less than -101.65972789?\nAnswer: -2679.65972789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*f - 4277 = -1165 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2585 and 1175?\nAnswer: 12925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iim when three letters picked without replacement from ssssmmsisimmssirsm.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 - 15 = 0. Suppose 6*p = 2*p + 36. What is the lowest common multiple of p and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/9 + -4\/9. Let h = 9374 + -9376. Which is the second smallest value? (a) z (b) 0.06 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:20 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 24*h - 46. Let d be l(8). Solve -2*p - 2*p + r = -d, -2*p + 20 = -6*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 28*l**2. Determine d(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3355 - -5083. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/2122141 and 16\/13181.\nAnswer: 2122141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 + 0.22. Let m = -8.2 - -16.1. Let p = m + -8. What is the nearest to 0.1 in f, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24a + -1?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c. Suppose 0 = -11*w - 14 - 19. Let g(d) = -7*d - 1. Determine w*o(v) + 2*g(v).\nAnswer: 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 + s**5\/6 + s**4\/3 - 11*s**3\/6 - 2*s**2. Let w be z(-9). Let y(c) = -3*c + 2. Is 4 a factor of y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19504934.6 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 36 = 15*i - 11*i, 3*i = -n - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -35*t - 3. Let g = -31 + 26. Let x be c(g). Let s = x + -93. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70982740 to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let u(v) = 9*v + 2 + 6 + q*v**2 + v**2 - 3*v. What are the prime factors of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 2385.\nAnswer: 7155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50515 + 112976. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1129*j + 1135*j - 84. Calculate the remainder when 55 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00365794 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57521 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-75)\/(-10))*9\/24. Which is the third smallest value? (a) t (b) 5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*z - 14 = 43, 2*r = 4*z + 6. Let w = r + -3. Suppose u = w*u - 475. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 16) to base 2.\nAnswer: -10100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3423*192.635\nAnswer: 659389.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppcficrcpiricirk. Give prob of sequence rfrr.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 0.6, -1\/3, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from yyhjbbjyjyyb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141217768 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x\/((x*x\/((x\/x**1*x)\/x))\/x*x*x)*x)**(-1\/43)\/(x*x*x*x*x\/x**(2\/9)*x*x*x*x**(-7)*x*(x**(-1))**8) assuming x is positive.\nAnswer: x**(2417\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/13*60\/180.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -432553, -432061, -431571, -431083?\n\"Answer: -d**2 + 495*d - 433047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273*q**6 - 8*q**2 - 5?\nAnswer: 32760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 5, j: 5}. What is prob of picking 1 w, 1 x, and 2 j?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 2 + 2)*(3709 - 13266 - 10332 - 6989 + 787 + 1168) to x*o + u and give x.\nAnswer: 49846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 3) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*g = -24, 3*i - g = 3*g + 23. List the prime factors of (-9)\/(-15)*1*i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3504 and 92586265.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -0.1. Which is the closest to q? (a) 0 (b) 0.4 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-72)*-6 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i - 3. Let g(b) = -8*b - 4. Suppose 14*c - 12 = -68. Let w(y) = c*m(y) + 3*g(y). Let n(t) = 2*t + 0 + 0 + 0. What is n(w(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 53*u + 807. What is the smallest common multiple of 3 and x(-16)?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30406400 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 3*w**2 - 2*w + 5. Let y(c) = 2*c**3 + 2*c**2 + 2*c - 4. Determine -4*l(v) - 5*y(v).\nAnswer: -2*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506\/65 + 8\/13. Calculate the common denominator of -79\/12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhwhhhh. Give prob of sequence hh.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (-4*(sqrt(112) + -1*sqrt(112))*-1)**2 + ((sqrt(112) + 0 - sqrt(112))*-6)**2 + 1*(sqrt(112) + -1))*-5.\nAnswer: -20*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from bnnaanalna?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, 18, -699.37 in descending order.\nAnswer: 18, 7\/6, -699.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5368 + -10183. Let m = 86767\/18 + s. Find the common denominator of m and (-11)\/28 - (-6)\/(-24).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfc when three letters picked without replacement from {f: 1, c: 7, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2*b**3\/27 + 902*b**2\/9 - 406802*b\/9 + 661. Factor q(f).\nAnswer: -2*(f - 451)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4173 - 4042. Solve 0 = -s*p + 128*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 23 - (37 + -26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -20*g - 827. Give i(-37).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*c - 14. Let g = -3 + c. Solve 5*v + 14*v**4 + 7*v - 2*v + 4*v**4 + 4 - 14*v**2 - g*v**3 = 0.\nAnswer: -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 718a - 1d?\nAnswer: 716b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.097 + -12.503. Let v = p - -12.695. Is v less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1533*k**2 + 3*k + 3163*k**2 - 2*k**3 - 1115*k**2 - k as m + g*k**3 + h*k**2 + c*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -6303008?\nAnswer: 6303012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21\/23, -1.1, -6, 3\/4 in descending order.\nAnswer: 3\/4, -21\/23, -1.1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -1\/2*o**4 + 7\/2*o**2 - 1\/3*o**3 - 1\/20*o**5 - 27*o + 0. Determine j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**3\/3 + 3*v**2 - 4*v + 27. Let r be g(-7). Which is greater: r or 25\/7?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:36 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-1218)*-29 + (-16)\/6\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -620 - 619 - 86*f + f**3 + 1237 - 2*f**4 to z*f**3 + r*f**4 + p*f**2 + i*f + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*m - 13, 2 = m - 2*j - 2. Let a = m + -4. Find the second derivative of -2 + a + q**4 + q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-11689\nAnswer: -1168.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 944\/(-28) + (-1 - 10\/(-14)). Let s be ((-2)\/4)\/((-1)\/(-2)). Let g = s - q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1269 + -1167. What is the greatest common divisor of 2720 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27615296 by 1725956.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 4 = -13*t. What is the units digit of t\/6 + (-96)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324190 divided by -162095.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) 1 (d) 21 (e) -27 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44986, -44968, -44918, -44818, -44650, -44396, -44038, -43558?\n\"Answer: 3*p**3 - 2*p**2 + 3*p - 44990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in -0.9, -3, -4, 4\/95, 1\/10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 4, s: 2}. Give prob of sequence ggr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 3996.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 3. Let z(p) be the third derivative of p**6\/360 + p**5\/30 - p**4\/2 - 8*p**2. Let j(d) be the second derivative of z(d). Give -2*j(g) - 3*s(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11431 * 435.9\nAnswer: -4982772.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:30 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/35226 and -1\/513.\nAnswer: 105678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 3. Let w be x(-6). Calculate the common denominator of 119\/18 and (-385)\/18 + 6\/w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/252 and -71\/1638.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/3*(-160)\/(-2). Round s to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 1, a: 6, l: 1, u: 3, i: 1}. Give prob of sequence gl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*b - 29, -b - 13 = -4*b - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -664436.\nAnswer: 1\/166109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2098b05 + 1?\nAnswer: -2098b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -762, -921, -1344, -2163, -3510?\n\"Answer: -22*p**3 - 5*p - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -15256 < -15255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*9\/(54\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*t - 35, -3*t + 7 = k - 8. Suppose k*m = 5*m + 36. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22535 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108341 - 108338. Let b = -28.19 - -28. What is the closest to -4 in b, 4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756 - 1771 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, y: 2, z: 1}. Give prob of picking 1 y, 1 z, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5362 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5 = -4*z, 5*z - 2*o - 162890 + 162932 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7786 - -2.75. Let y = p + 0.029782. What is y rounded to 5 dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 32*q + 91. Determine z(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 + 109*s - 56. Let l be g(15). Solve 16*u - l*w = 15*u + 10, 16 = 4*u - 4*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 20*i**2 - 81*i + 18. Determine f(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123752 (base 8) to base 14.\nAnswer: 11946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/585 and -13\/459.\nAnswer: 29835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3*b**5\/4 + 7*b**2 + 25*b - 23. Let p(j) be the first derivative of w(j). Differentiate p(n) with respect to n.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, -3\/5, -0.1, 0.21, -3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1830, 8310, 14788, 21264, 27738, 34210, 40680?\n\"Answer: -j**2 + 6483*j - 4652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 125700 to the nearest 1000.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 578, 1688, 3538, 6128, 9458?\n\"Answer: 370*q**2 + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32965575.\nAnswer: 3, 5, 439541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26175969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-41)\/13 - (-4)\/26. What is the tens digit of (-2)\/h + 453\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.89 - 11.8. Is -3\/5 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.74 + -7. Let d = -0.2600013 - t. Round d to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkl when three letters picked without replacement from ccckncklccckcklckkm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) -3 (c) -2\/29 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 3*t + 8. Let f be i(7). Let y be (f\/3 - -1)*-7. Is (-3)\/(7\/(y\/(-3))) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - 452\/(-16). Let i be n\/(-6) - -4 - (-32)\/(-6). Let q(h) = -h**2 - 7*h - 1. Let u be q(i). Solve 0 = -d - 3, -2*s + 14 - 31 = u*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 5*t, -2*s + 20 = -2*t - 3*t. Let z = 6 - s. Is 196\/9 + z\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-27)\/(324\/8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/15 + 43372*l**2\/15 - 173512*l\/15 + 11568 = 0. What is l?\nAnswer: -21690, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = 3*o. What is the remainder when 6 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2. Let w(q) = -18*q. Let c(z) = 9*z. Let g(n) = -7*c(n) - 3*w(n). Calculate g(r(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -100*s + 0 - s**2 + 91*s + 6 - 2. Let l be t(-6). Solve -20 = -b - l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 + 2*b**2)*(-b - 2*b**2 + b) - b**3 + b**3 - b**4 + 7*b**4 - 2*b**4 - 3*b**4 - 16*b + 16*b + 7*b**4.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/((o*o*o\/o**(-1\/21)*o*o)\/o)))\/o*o*o*o)\/o)\/o)\/o**2*o**(6\/5)*o\/((o*(o*o**(1\/9))\/o*o)\/o) assuming o is positive.\nAnswer: o**(988\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 4*p**2 - 62*p**4 + 62*p**4 + (2*p**2 - 5*p**2 + 5*p**2)*(0*p**2 + 0*p**2 + 6*p**3) - 11*p**5 + p**3 + 29*p**5 - 11 - 16*p**5.\nAnswer: 17*p**5 + p**3 - 4*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and (-402)\/(-36) + (-1)\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.348 - -0.052. What is the third smallest value in p, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1144 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -82928*r - 2321992. Calculate p(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019575033 rounded to 4 dps?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/126)\/((-2)\/(-12)))\/(-17).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 323838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -917.39 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 4. Suppose 2*h + 4*k = 0, 5*k = -33*h + 34*h. Is n bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, f: 2, k: 8, x: 5}. What is prob of sequence kxf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.976312 weeks?\nAnswer: 6.834184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 119, 429, 1033, 2027, 3507, 5569?\n\"Answer: 16*u**3 + 3*u**2 - 9*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Suppose -2*y = 0, 2*j + q*y - y = 14. Suppose j*l - 20 = 2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + s**2)*(13 + 14 - 23 + s)*(-70 + 70 + 4*s) to q*s**3 + c*s + d*s**2 + g*s**4 + w and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/6 + b\/2 + 9. Find p such that n(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006405 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + 11 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(16\/1368). Let h = z + 117. Solve d - 1 = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 141*w**2 + 2 + 237*w**2 - 2 - 131*w**2.\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-2 - 2) - 1) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 597573, -3 in descending order.\nAnswer: 597573, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18183736 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o - 38 = 5*u, -5*o - 2*u - 57 = 0. Let n = -11 - o. Suppose n = -4*z + 3*z - 2340. What is z rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 96 = -133. Put 46, c, 0, -1 in decreasing order.\nAnswer: 46, c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d = 149*d. Let o(y) be the second derivative of -2\/9*y**4 + 3*y + d*y**2 - 1\/5*y**5 + 0 - 1\/63*y**7 - 4\/45*y**6 - 1\/9*y**3. Factor o(l).\nAnswer: -2*l*(l + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - 24 - (-45 - 25 - -84).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000022061 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 167 + 7\/(7\/(-2)). Let h = 105 - m. List the prime factors of (-6)\/(-10)*h\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -85?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - (-35 + -13)) + -1 + -54 + -4 + 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 29 = -2*j, -5*z - 15 = -5*j - 80. Does 15 divide 588\/33 + 2\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/2)*o)\/(o\/o**(-2\/23)) assuming o is positive.\nAnswer: o**(65\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 2*w)*(-7*w**4 - 8*w**4 + 14*w**4 + 28*w + 2).\nAnswer: 2*w**5 - 56*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 15*y + 549. Is h(20) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 584399432 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**2 - 5*j + 25. Let z be i(3). Let h = -105\/2 - z. Let t = 713\/9 + -79. What is the closest to h in -4, t, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 34. Let q(s) = -2*s + 33. Let y(f) = 5*l(f) + 6*q(f). Let d be y(-8). Factor -25*j + 37*j + 24*j - d*j**2.\nAnswer: -4*j*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 10*d**2 - 6*d - 12. Let b be w(10). Let r be (-24)\/b*(6\/2 - 0). Suppose -f + r = -30. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117, -286, -467, -666, -889, -1142, -1431, -1762?\n\"Answer: -t**3 - 162*t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466755 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -0.04. Let o = 0.04563 - 0.06563. Put 0.06, o, -2, q in descending order.\nAnswer: 0.06, q, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3047932.971 rounded to the nearest one hundred?\nAnswer: -3047900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-4)\/(-6))\/((-3)\/(-6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332207659?\nAnswer: 7, 17, 2791661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158190545 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32751744 divided by -16375872.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 36, -40, -260, -672, -1324, -2264?\n\"Answer: -8*j**3 + 76*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1644*n - 817*n - y = 825*n + 17, 5*n - 180 = 15*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138465?\nAnswer: 3, 5, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 45, -1150, -2, -5.\nAnswer: -1150, -39, -5, -2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*1 + (-112)\/77*-2 + 3\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 15. Let q be a(0). Let n(d) = 3*d - 4. Let h be n(3). Suppose -i + 5 + 23 = h*v, 0 = -3*v + q. Let x(p) = -2*p + 2. Determine x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 276493725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.97340401\nAnswer: -0.097340401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 524213 = 224499. Let p = g + 974356. Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335\/6 + -56. Let n(f) = -f - 6. Let p be n(-6). Suppose -2*h = 2 - p. Is h at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 144570?\nAnswer: 14455c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -114. Let c(v) = -v**2 - 15*v + 13. Calculate the remainder when j is divided by c(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from lnbyolo.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2064 + 1419 - 1277 + i.\nAnswer: i + 2206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19409?\nAnswer: 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000196324917 rounded to 7 decimal places?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 - 13. Let t(o) = 15*o - 12. Let y(u) = 646*u - 513. Let w(j) = 171*t(j) - 4*y(j). What is w(d(h))?\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -5\/4 (c) 0.3 (d) 5390 (e) -2 (f) 2 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -27. Let t = j - 4. Do 2 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**2\/2 - 3753. Let v(y) = -124*y**2 - 2*y. Determine k(v(l)).\nAnswer: -124*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 - 554778366*b + 25648252948469163 = 0.\nAnswer: 92463061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 15*k**4 - 15*k**4 + 2*k**5 - 3*k**5 - k**5 - k**5 + k**5 + k**5 + (2*k**3 + 3*k**3 - 7*k**3)*(3*k**2 + k**2 - 2*k**2) - k**3 + k**3 - 2*k**5.\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(7\/2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6\/(-9) - 352\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4) - -1) + (-59)\/(-2124)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 95 = -38. Let l = -6 - -14. What is the third derivative of -l*b**2 + 43 - f - 8*b**3 - 24 wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*r**2\/3 + 214*r - 2156\/3.\nAnswer: 2*(r + 49)*(7*r - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*x - 5*b + 157 = 1268*x, -5*x - 2*b + 14 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1193.9*2.6.\nAnswer: 3104.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 9, b: 1, d: 2}. What is prob of picking 1 v and 1 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110113 (base 7) to base 12.\nAnswer: b197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.00000012 - -40. What is u rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 5*y**2 + 5*y**2)*(2*y**2 - 5*y**2 + y**2 + (y + 4*y - 4*y)*(-3 + 3 - 2*y) - 7*y**2 + 7*y - 7*y - 14*y - 2*y**2 + 14*y).\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3584 = -7*c - 1904. What is the least common multiple of 72 and c?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/12 - 7*a**3\/6 - 2*a**2 - 3*a. Let w be b(8). Solve -3*r = -w - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4515357 to the nearest integer?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**6\/360 + f**5\/24 + f**4\/6 + 2*f**3\/3 - 6. Let o(h) be the third derivative of i(h). Give o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 166a - 4a4?\nAnswer: 11c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.95 + 1.0812. Let t = z + -0.148. What is t rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 5, v: 5, s: 1}. Give prob of sequence wqs.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6608*d + d**2 + 40*d**3 + 6608*d - 3 to b + u*d + o*d**3 + s*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/102 and -5\/1577804?\nAnswer: 4733412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/3 + 23\/6. Suppose 0 + 0 = w. Let g = 551\/70 + -39\/5. Put h, g, w in decreasing order.\nAnswer: h, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3929 - -3929. Which is smaller: 152 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 5*(sqrt(11) + -1).\nAnswer: -12 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6630*u**4 - 316*u**2*y + 24184428*y wrt u?\nAnswer: -26520*u**3 - 632*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, 0.5, 2.7 in ascending order.\nAnswer: 0.5, 2\/3, 2.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**17)**(20\/9)\/(n**(2\/133)*n*n\/(n\/(n\/(n\/(n\/(n*n**21)*n)*n)))*n) assuming n is positive.\nAnswer: n**(67945\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/21*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 686\/(-147)*(-567)\/(-14)*((-2)\/1)\/6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*q + 22 = 0, -2*n + 2*q + 4 = -0*q. Let t(g) = 4*g + 3. Let a(r) = -2*r - 2. Give n*a(u) + 3*t(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - 2d4?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-1)*o*o\/o**1*o)**11\/((o**0)**(-5\/4)*(o\/((o*o**(4\/9))\/o*o*o))\/(o\/(o\/o**6))) assuming o is positive.\nAnswer: o**(562\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037252 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)\/(sqrt(8)\/sqrt(4))*-1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58 - -1) + 3 - (-7 - -36 - 35)) + -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gereekeebeeer. What is prob of sequence kg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -81*f + 5524. Let j be u(68). Solve 10*o + j = 14*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12331113 (base 4) to base 13.\nAnswer: cc87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -618 + 621. Let f be (1\/t)\/(1\/15). Solve 3*z - 16 = -2*g, -g - 3*g = -f*z + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 3*v**2 + 4*v**2 + (-v + 2*v - 2*v)*(-4*v + 4*v + 2*v) + 10 - 9058*v + 9056*v + 5*v**2 - 24*v**2.\nAnswer: -22*v**2 - 2*v + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814.571 weeks to minutes.\nAnswer: 8210875.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*2)\/sqrt(2) + sqrt(18))\/(1*(sqrt(81) + sqrt(9))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1899192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let y(l) = -2*l**2 - 4*l**2 + 19 - 19. Let k(z) = -7*z**2. Let f = 11 - 6. Let w(p) = f*k(p) - 6*y(p). Calculate j(w(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*l = 38, -6*f + f + 42 = -2*l. Suppose 7*v + 729 = f*v. Let n = v + -2185\/9. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-228)\/760 - (-9403)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 12*r**2 - 2*r + 10. Let u be f(7). Let y = 346 - u. Suppose -x + 238 = 2*m + 2*x, 0 = -5*m - 2*x + y. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/287*-41*(-92)\/(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 838 + -677. What is the remainder when 2414 is divided by j?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*c. Put -1, 2, c in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e942 (base 15) in base 12?\nAnswer: -49a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2*r, -2*w + 41*r + 21 = 46*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 13. Let l = n - -17. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*a = -4, -4 = -3*s - 4*a - 0*a. Solve p + 2 = -s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(133) + (-1*sqrt(133) - sqrt(133)))*6 - sqrt(133))\/(sqrt(35)\/sqrt(80)))**2.\nAnswer: 59584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 31147\/2 - (143\/26 + -7). Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 708*y**3\/7 + 62912*y**2\/7 - 123708*y\/7 + 8786 = 0. Calculate y.\nAnswer: 1, 161, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 2)*-1*22\/(-77). Let n(q) = 126*q**l - 1 + 2 - 7*q**2. Let h(m) = 2*m. Calculate h(n(s)).\nAnswer: 238*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:39 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 + -644. Solve 2*c + 21 = c + 4*y, 4*c = -4*y - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (sqrt(125) - (sqrt(125) + sqrt(125)*-1)) - sqrt(125))**2 + 1 + (sqrt(180)*-6 - sqrt(405)).\nAnswer: -45*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 21. Let i be h(-10). Let x(q) = -i*q + 19*q - 17*q + 3. Let d(t) = -4*t + 1. Calculate 7*d(u) - 3*x(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21248 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-143))\/(80\/(-64)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 12241?\nAnswer: -36723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2. Let s(n) be the second derivative of 0*n**3 + 0 + 0*n**2 - 1\/3*n**4 + 77*n. What is c(s(x))?\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - v**2 + 10*v + 5. Let j be k(0). Let u = 4 + -1. What is the smallest value in j, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1253, -4446, -9559, -16592, -25545, -36418, -49211?\n\"Answer: -960*b**2 - 313*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -153, -4 in decreasing order.\nAnswer: -1, -4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t + 2. Suppose 0 = s - 3*k - 41, s + 3*s = 5*k + 157. Suppose 16*p - 35*p - s = 0. Let d(l) = 59*l - 11. What is p*d(n) - 11*x(n)?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -44*h**4 - 10. Suppose -7*x - 12 + 5 = 0. Let a(j) = j**4 + 1. Let k(i) = x*a(i) - r(i). Find the first derivative of k(l) wrt l.\nAnswer: 172*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:06 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pocccpocpopppcc. What is prob of sequence oo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1038822*-0.3.\nAnswer: 311646.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/48 and -145\/29436.\nAnswer: 117744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:00 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 + 13\/10*b**5 + 9*b**2 + 13*b + 0*b**4 + 0*b**3. What is the derivative of m(y) wrt y?\nAnswer: 78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/20*164\/(-123). Let m = 8 + -8.3. Which is the nearest to 0.1? (a) m (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 * -5\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7375 - -66305\/9. What is the common denominator of f and 262\/(-72) + 36\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + 5 + (6 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 43.02.\nAnswer: 42.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20109774 to the power of 1\/2, to the nearest integer?\nAnswer: 4484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*n + 771*n - 384*n - 21, 2*n + 14 = 2*k - 2*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 + 20 = 0. Suppose -5*r = -5*j + 495, -5*j - 5*r = -0*r - 455. Suppose j = i - 13. What is the highest common divisor of i and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**3 + 6*j**2 - 2*j - 5. Let c(w) = 10*w**3 + 7*w**2 - 2*w - 6. Determine 5*c(u) - 6*v(u).\nAnswer: -10*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.22 + 3.222376. What is p rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3402 + -3386. Solve 2*c - 3*u = 19, n = 2*c - 9*u + 7*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-6) - -2)\/((-4)\/(-84)). Let d = w + 14. Solve -4*b + d*b = f + 13, 0 = -f - 3*b - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y - 13. What is the tens digit of w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 2*d**2 + d - 1. Let g be j(2). Let w = g - 22. Solve -v + w*v = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (0 + 11 + -2 + (-11 - -7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2484 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 17*q - 76. Let a be k(-8). What is the tens digit of 1899\/3 + 2\/a*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 5. Let y be a(-16). Let o = -32 - y. Solve 8 = g + 5*p, o*g - 10 = p + 4*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1230 and 109\/6300.\nAnswer: 258300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(175)*-3 + -3 + (-4 + sqrt(175) + sqrt(175)*-2)*3)**2.\nAnswer: 900*sqrt(7) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.88*-0.85\nAnswer: -0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(216) + -1*sqrt(216)*-4)\/sqrt(9))\/(-5*(sqrt(128) + sqrt(128)*2)).\nAnswer: -sqrt(3)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 + 1 - 1)*(35*l + 35*l**2 - 35*l) + 2 + 3*l**2 - 2 + (3*l + l - 5*l)*(l - 3*l + 0*l).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:09 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 13*k**3 - k**2 + 5*k + 7. Determine w(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*2*sqrt(1782))\/(1*sqrt(242) - (sqrt(2)*-1*-5 + sqrt(2) + sqrt(2))))**2 + 1.\nAnswer: -36*sqrt(11) + 959\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.88 - 655.88. Let m = -654 - l. Is m smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 87*f**2 + 33*f - 118. Is t(-30) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1 + 2*q - 9 to the form g + i*q and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 2:32 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 502*o - 507*o + 3*i, 0 = 3*i + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10993158*r**3 + 11877193.\nAnswer: -32979474*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (5 - 5 - -8). Solve 4*b = -4*u + g, 2*b + 2*b + 3*u - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 360*z**3 - 297*z**4 - 360*z**3 + (0*z**3 + z**3 + z**3)*(-5*z - 3*z + 4*z).\nAnswer: -305*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 5, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (0 - 1))\/(-185 + 1095696\/5922)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (795\/6360*8*-1)\/(-2*(-2)\/424)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8912772 to the nearest one thousand.\nAnswer: -8913000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 917\/6419 + (-22)\/56?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/7 + 7918*d**3\/7 - 1560522*d**2 + 831207622*d - 112412644400 = 0. What is d?\nAnswer: 200, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361037 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -26*f + 118 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -112, -126, -158, -214?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*f**3 - 1326*f + 710*f**3 - 1413*f**3 + 19 - 17.\nAnswer: -2*f**3 - 1326*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-42) + -4)*-1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -839*s**8\/28 + 299*s**4\/2 + 18*s - 21. What is the third derivative of j(t) wrt t?\nAnswer: -201360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2616 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52\/7 + -461\/63. What is the closest to -0.2 in -4, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(-1 + 0). Let c(m) be the third derivative of 3\/2*m**3 - k*m**4 + 0 - 12*m**2 + 0*m. What is the derivative of c(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4. What is the units digit of l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 22*c**2 + 23*c + 7. Determine m(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3287 + 907. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5732908.2us to hours.\nAnswer: 0.0015924745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4)*-1)\/((-1972)\/(-51)). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 1 + 1)*(-17*r**3 + 5*r**3 + 10*r**3 + (-r - 2*r + 5*r)*(0*r**2 - 2*r**2 + 0*r**2)).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-207)\/9432 + 4\/((-6 - -14)*4)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011, 702, 165, -600?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 33 = -2*r + g, -3*r + 42 = 4*g. Suppose -r - 92 = 5*j. Let l = -7 - j. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 397, 1370, 3259, 6370, 11009?\n\"Answer: 51*m**3 - m**2 + 9*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + -6 + 2 + 6 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-62)*890\/1335.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 - (-9)\/7. Suppose -v - 9 = -5*x + 5*o, 5*x = -4*o + 46. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114672.\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {w: 4, m: 1, a: 1, o: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let b(r) = -3*r - 9. Let i(u) = -2*b(u) - 9*o(u). Let v(q) = 33*q**2 - 238 - 234 + 472. What is i(v(p))?\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 6 = -8*k - 2*a, -4*k + 5*a = -9. Let u be 3*(-2)\/(2 - 0). Is ((-139)\/(-1) - u) + k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a factor of 25583344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:44 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - 1\/(-4). Let q be 4\/(-22) + 810\/99. Let x be q + -4 + (-51)\/9. Which is the nearest to i? (a) x (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 250 = -7*d. Let w = 376 - d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*y**3 + 3*y - 6*y**4 - 356*y**3 - 5*y + 184*y**3 - 28 to the form k*y**2 + z*y + q*y**3 + a + c*y**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491823 is divided by 574?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, -2.\nAnswer: -2, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1412 (base 7) to base 13\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116 = -82151*r + 82182*r + 217 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Let q = 2 + 1. Does b = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.3, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*u - 5*c, -2*c - 3*c = 3*u - 27. Let v = -198\/131 + -1850\/4323. Find the common denominator of (u\/(-72)*-2)\/((-56)\/(-42)) and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*a**2*d*s**2 - 4*a**2*s**2 - a*d*s - 55*d*s**2 - s**2 with respect to a.\nAnswer: 34*a*d*s**2 - 8*a*s**2 - d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*v**6 + 3*v**5 + 37163*v**3 - 35590126*v**2 wrt v.\nAnswer: -1560*v**3 + 180*v**2 + 222978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53\/20 + -13\/4. What is the second biggest value in -2\/15, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 95.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-35)\/14)\/((-3)\/(-3138)). Let y = -524 + p. Let j be 2\/(-4) + (-9)\/(-42). Which is the nearest to y? (a) j (b) 2\/5 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*o = 4535 - 24016 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 26, -22, -132, -328?\n\"Answer: -4*u**3 + 5*u**2 + 3*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-126)*6*(-3)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2381\/16 - 149. Let c be 364\/308 - (-4)\/(-22). Which is greater: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76389333 and 963.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*l - 32*l + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v*v)**(-2\/21)\/(v**(-2\/3)*v)**(-20)*(((v*v**(-2))\/v)\/v**(3\/7))\/((v**(-1\/7)*v)\/(v**(-3)*v)) assuming v is positive.\nAnswer: v**(121\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 32 = 4*a, 12*g - 40 = 4*a + 9*g for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 6*v**2 - 254*v + 83. Let g be y(-13). Put g, -21, -9 in descending order.\nAnswer: g, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 169838?\nAnswer: 169839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3692042905 + -3692147529.79935. Let q = 104622 + j. Let r = -2.8 - q. Round r to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:54 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/(-52)*(6\/21)\/((-400)\/140).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55248 - -4?\nAnswer: 55253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 18*s - 91. Let g be j(-7). What is the units digit of 11692\/14 - (-2)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 178. Sort d, 1, -2.\nAnswer: d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-66)\/7 + 89 + -69).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77483990 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + u + 0*u + (-4 - 1 + 3)*(-1864*u + 3441*u - 1932*u) to the form x + s*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(2\/7 - 0). Let x(y) = -y**2 - 5*y + 7. Let m be x(-5). Let k be (-66)\/t + 2\/m. Solve -2*i = -1 - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/((-3036)\/2400) - 4\/22. Solve p - 7*p = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -603*b**3*i - 49*b**3 + 299*b**2 + 9*b*i + 12*b + i - 1 wrt b?\nAnswer: -3618*i - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 703162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -183 in 2\/5, 3, -29.1?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*10\/19995. Let w = u - 539833\/191952. Calculate the common denominator of -73\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9016817 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-18)*4704\/3584?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 18039.\nAnswer: 54117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + -115. Determine r so that -2*r**3 - 1\/3*r + z - 4\/3*r**4 - 4\/3*r**2 - 1\/3*r**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1035.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -200, 2, -5, 43, -4, 0.\nAnswer: -200, -5, -4, 0, 2, 9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2 - i - 2. What is j(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:44 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 85. Let q be (0 + (-2)\/6)*0. Let z be i(q). Suppose 4*x + x - z = 0. What is the greatest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.689043366 + -0.009041956. Let m = 2.68 - g. Round m to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35 - 176*z**6 + 63 - 644*z**6 + 50*z**2 - 34 - 18*z**2 wrt z.\nAnswer: -98400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8. Let v = -30 - -30.3. Which is the closest to -0.4? (a) v (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2700 and 252?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 6*v**3 - 3*v**3)*(2 - v**2 - v**2 - 4) - 6*v**5 - 12*v**5 + v**5 + (-2*v + 3*v - 2*v)*(-2*v**4 + 0*v**2 + 0*v**2).\nAnswer: -19*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 3*p**2 + 9 - 8*p - 5. Let r(k) = 3*k**2 + 23*k - 11. Let h(z) = z**3 + 67*z**2 - 355*z + 343. Let c be h(-72). Calculate c*s(y) - 6*r(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i + 1. Let z(m) = m**3 - m**2 + 3*m - 3. Give -3*s(j) - z(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 166054169 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 21 = 6*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25332, -26023, -26714, -27405?\nAnswer: -28096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -543 + -629. Let w = -738.4 - s. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:14 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 0*y - y = 4, 2*f - 5*y = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-11 + 0) - (-1 + 3)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*n**6 - 5*j*n**5 - j*n**3 - 8*j*n**2 - 11*n**2 wrt n?\nAnswer: -240*j*n**3 - 300*j*n**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-37)\/(-20). Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u - 50 + 6 = 0, 5*m - 68 = 3*u. Let r(t) = -26*t - 6. Let k be r(-7). What is the greatest common factor of k and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/2*(-72)\/(-16). Factor -u*g**2 + 35*g**2 - 37*g - 43*g + 20 + 58*g**2.\nAnswer: 5*(3*g - 2)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -275*g**8\/336 - 31*g**4\/12 - g**3\/2 - 392*g**2. Find the second derivative of c(w) wrt w.\nAnswer: -5500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2014, -4007, -5980, -7927, -9842, -11719, -13552, -15335?\nAnswer: -17062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from {x: 2, e: 4, u: 1, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 + 3*j. Let k be y(-2). Find the third derivative of -l**2 - 4*l**3 + 7*l**3 - l**k wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(-4) - -9)\/(14\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/482482563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tphymphn. What is prob of picking 1 t and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + 40. Suppose -4*n + 8 = -2*t + c, 31 = t + 2*n. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**2 - 2*k**2 + 10*k**2 - k - 2. What is l(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5020.11 and 0.688734.\nAnswer: 5020.798734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:19 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1632222\/7 or 233176?\nAnswer: 233176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051946 a multiple of 1882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25042 - 44.74958. Which is the nearest to 0.1? (a) w (b) -3\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364081601.\nAnswer: 13, 2154329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = -m. Let f(h) = 2*h - 23. Let g be f(13). Suppose g = 3*q - m*q. Solve s + q = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + -7 + (-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 30*a - 58. Let m(p) = -13*p - 5*p + 56 - 11*p. Let c(h) = 4*m(h) + 5*x(h). What is the first derivative of c(w) wrt w?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**4\/4 + 8*l**3\/3 + 6*l**2 + l - 1382. Calculate p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, l: 1, h: 2, v: 1, n: 1, c: 2}. What is prob of picking 1 v, 1 l, and 1 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 - 3*d**3 - 673301*d**2 + 1081212.\nAnswer: 4*d**3 - 9*d**2 - 1346602*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 13034.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*y + 14, 4*q - 3*y - 13 + 15 = 0. Which is greater: 2\/101 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 2, z: 1, b: 2, r: 1, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.3, 101.84 in decreasing order.\nAnswer: 101.84, 0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 921271*n**2 + 767383*n?\nAnswer: 1842542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 13*j**5 + 24*j**4 - 42*j + 42*j - 24*j**2 + 17*j**5.\nAnswer: 4*j**2*(j - 1)*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 40. Suppose -2*q - p*w - 11 = 1, q = -w - 6. Let c be 3\/q*(7 + -7). Let r(l) = -l**2 - l - 1. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 15 = 47. Suppose -5*d = -d. Suppose -z*h - t = 1880005, d = -3*h + t - 1048095 - 361900. Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 12950?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6269681 and 5.\nAnswer: 31348405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let w(g) = -459614*g. Calculate a(w(v)).\nAnswer: 919228*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 13*z + 24. Let u = 84 - 73. Let i be s(u). Let c(j) = 33*j**2 - 2*j + 9. What is the units digit of c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -63. Calculate the common denominator of -85\/24 and (-99)\/121*26\/c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.013 + -5.187. Let h = 14.665 + -14.865. Let s = h - r. Which is the second smallest value? (a) s (b) 2\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23742240 by 197852.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 24*n**3 - 120*n**2 + 141*n - 700. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1247460662456 and 0.3?\nAnswer: 1247460662455.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786962.9 months in decades?\nAnswer: 14891.3575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 48, 62, 78, 96?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/429 and 137\/390.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(11))*4)**2 - (sqrt(11) + 1)**2*-1.\nAnswer: 98*sqrt(11) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 13. What is r(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2122110010 (base 3) to base 4\nAnswer: 30231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 3*p. Let l(s) = -7*s**3 + 9*s**2 - s - 1. Let i(m) = -3*m**3 + 4*m**2 - m - 1. Let v(h) = p*i(h) + 2*l(h). Is v(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.1 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6577, 13141, 19703, 26263, 32821?\nAnswer: 39377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 4 = 40*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -328.58 and -3.2.\nAnswer: 1051.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*((-33)\/9 + 4)*-114 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/((-9)\/(-2)) - -2. Suppose -y - 8 = p - 6*p, 10 = b*p + y. What is the nearest to p in 3, 4, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0208 and -3.\nAnswer: -3.0208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d - 469590 = -471480 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5357888 by -1339472.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404 + -104?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -17, -5, 2 in decreasing order.\nAnswer: 10, 2, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1912, -1861, -1790, -1705, -1612?\n\"Answer: -t**3 + 16*t**2 + 10*t - 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -331.9497451 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 2*i - 6*i. What is the greatest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57c2 - 145?\nAnswer: -5937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.2097ml in litres?\nAnswer: 0.8732097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 14*b - 80. Which is greater: b or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 6. Suppose -5*z + 5 = 0, 3*t = z - 5*z - 2. Is t*2\/((-16)\/m) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 3, d: 3, z: 3, v: 1, w: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = 138 + 135. Let b(g) = g - 1. What is b(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4 + 9*y**3 - 627*y**2 + 5203*y - 7986 = 0.\nAnswer: -33, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -6840.\nAnswer: -6840, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 8*k**3\/3 + 9*k**2\/2 - 10*k + 1. Let f be w(7). Solve 5*g - f*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1101, -1076, 0 in decreasing order.\nAnswer: 1101, 0, -1076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 138. Let y be 2\/(-7) - (-156)\/k. Let m = 6 + y. Solve -5*b = 3*j, -m*b = 1 - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*s + 71*s - 151*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*m - 5, 2*m = 2*z - 5*z + 1. Suppose 2*w + 8 = m. What are the prime factors of 6\/(w\/((-300)\/8))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16607356 to the nearest integer?\nAnswer: 4075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2. Let a(n) = 206*n. Calculate q(a(t)).\nAnswer: -169744*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 94*v - 70. Let w be f(-32). Let d(o) = 8*o**3 + 13*o**2 - 19. Let s(t) = 4*t**3 + 6*t**2 - 9. Calculate w*d(m) + 13*s(m).\nAnswer: 4*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:42 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -226 and 61.\nAnswer: -13786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1414\/(-84) + -19 - -18) + 6 - (-2)\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9 - 91*w**3 - 50 + 3*w - 3*w wrt w?\nAnswer: -273*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 26915 - 11613 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330890)\/87)\/(-326)*33\/28.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 + 12\/(-20). Let h be 2 + (2\/2)\/w. Which is smaller: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4040271.9 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -1\/15*p**4 - 1\/2*p**2 + 4\/15*p**3 + 0 + 3*p + 1\/150*p**5. Let c(g) be the first derivative of z(g). Factor c(t).\nAnswer: 2*(t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -3 (c) 0.3 (d) 0.11 (e) 177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 823 + -773. Calculate the highest common factor of 1150 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bll when three letters picked without replacement from {b: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1697*s - 8 - 4783*s + 8 - 1766*s.\nAnswer: -8246*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1589032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u + 20 = 47*u. What is the second derivative of 12*z**5 + 35*z + 20*z - z**u - 11*z wrt z?\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -5*o, 5*o - 5*p = -3*p - 2. Suppose 4 = -2*d - s, 2*s = 5*d - o - 8. What is the units digit of d + 3 + (-3 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16\/2127, 3, -0.2, -7, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133 + 24 + -1 + 100.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 1968*p**2 + 1961*p + 6556. Determine a(657).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -67\/12 (b) -3 (c) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d**2 - 32*d - 45. Let h(q) = -7*q**2 - 16*q - 23. Let v(y) = -11*h(y) + 6*t(y). Let l be v(-10). Is 2*1\/2 + l + -27 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 48*d - 1200. Calculate the remainder when 1496 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 129 = -5*z, 79537*o - 79532*o = -3*z - 189 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, h: 5, e: 2}. Give prob of picking 1 k and 2 h.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from nnnnnjjnnnnnnnjjnjn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28539*n**2 - 36502*n?\nAnswer: -57078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*f = 45, 4*f + f + 17 = -2*q. Suppose 5*g - 177 = -q*t, -3*g - 171 = -4*t - 2*g. Let d = t - -6. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) -4\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001724877 rounded to 7 decimal places?\nAnswer: 0.0001725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.3. Let u = 0.01 - -2.99. Let t = u + -6. Which is the third biggest value? (a) 0.1 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/120 + f**3\/3 - f**2 - 3*f. Let s(t) be the first derivative of h(t). Differentiate s(k) wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -2\/143 (b) -2 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m + 7. Let r(h) = -5*h + 6. Let t(o) = o - 4. Let q be t(-4). Let d = 15 + q. Let s(w) = d*r(w) - 6*c(w). Let a(b) = -4*b**2. Calculate s(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 5. Let o be y(3). Suppose -45 = f + o. Let v = -33 - f. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 29*i - 4779. Let j be w(165). Solve 0 = -j*v + 4*v - 5*r + 4, 4*v - 8 = -4*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -31. What is the greatest common divisor of 34 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10566.21 rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1018 = -4*n, 5*n = 4*p - 2259 + 184. Calculate the highest common divisor of 1648 and p.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 4*c - 6*c + 19*c + 20 - 33. Let v(q) = -28*q**2. Determine o(v(t)).\nAnswer: -56*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))\/x**(1\/3)*(x**0)**(2\/49))\/(x**(-8)*x*x*x\/(((((x\/(x*x\/x**(-2\/17)))\/x)\/x)\/x*x)\/x*x*x)*x*x)**27 assuming x is positive.\nAnswer: x**(1555\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(70)\/sqrt(10) + 0.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4901 + 5388.8. What is d rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**3 - 4*l**2 + 6*l - 8. Give i(4).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*s**2 + 97*s**2 - s**3 + 205*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, -81, -82, -83, -84, -85?\n\"Answer: -t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/12 + 10*r**3\/3 - 12*r**2. Let l be z(9). Let g be (1 - 2) + l*77\/84. What is the nearest to -0.1 in g, -2\/21, -4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -732 + d - 584 + 3*d**2 + 1320. Let o = 0 - -3. Determine a(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(-2*sqrt(108) + sqrt(108))**2 - sqrt(108) - sqrt(108)) + -1 + sqrt(108)*-1.\nAnswer: -545 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 0) - (-3 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2595895 - 0?\nAnswer: -2595895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657882 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*t - 3*t. Suppose 0*p + 27 = t*p. Let w(i) = -2*i**3 - 3*i**2 - 1. Calculate the remainder when w(-3) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -77. Let y = -32.4 + r. Let t be 4 - 4 - (-6)\/(-10). Which is the third biggest value? (a) -0.2 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 19. Let i be u(-6). Suppose -x - 5*a = -4*x + i, a = x - 7. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 386.54 - 386.44. What is the nearest to p in -1\/4, 12771, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 25*b + 70. Let k be 1\/b - ((-45)\/(-10) - 5). Factor -8\/5*s + k*s**2 + 8\/5.\nAnswer: 2*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + 13)) + 2 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:27 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) -0.2 (c) -1 (d) 1 (e) -2\/9 (f) 2\/67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/20 + r**4\/12 - 2858*r**2. Let w(c) = -24*c**2 - 17*c. Give 51*o(v) + 6*w(v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -36301*z + 6. Let x be i(4). Let r = -1453231\/10 - x. Let n = r + 609\/5. Find the common denominator of n and 109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3605 + 7163 = 4*w + 4*c, 3*c = -15. What are the prime factors of w?\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -297*d - 1486. Calculate g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21131 + 56563. Suppose 7*c = -f + 11702. Round c to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6*(o\/(o**(-7)*o))\/o*o\/(o\/(o\/o**(-2\/7)*o))*o*o*(o\/(o**(-3)\/o))\/o assuming o is positive.\nAnswer: o**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*l + 22 = 0, 0 = 4*m - 3*l + 73. Calculate the remainder when m*((-2 - -3) + -2) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785785.9km to millimeters.\nAnswer: 785785900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 6. Let l be o(6). Let y be 74\/(-9) + 2\/9. What is the smallest common multiple of (-159)\/l + (-6)\/y and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 9 - 3*l + 8*l.\nAnswer: 5*l - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 4) - (5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 0.72. Let x = z + 4.62. Let l = x + 0.5. Which is the nearest to 4? (a) l (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/30 (b) 1\/5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -143*f - 981. Let v(n) = -179*n - 982. Give -5*l(h) + 4*v(h).\nAnswer: -h + 977","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1.439. Let p = f + -9.161. Put 1\/5, 0.4, p in decreasing order.\nAnswer: 0.4, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-7800)\/1050*14\/8?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207.639101 - -10.638637. Let l = r + 197. What is l rounded to five decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-940)\/28 - 4\/(-7). Let v be p\/(-22)*(3 - -1). Let f(l) = -l + 1. What is f(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1126, -2255, -3382, -4507, -5630?\n\"Answer: o**2 - 1132*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c - 4*t = 4, 3*c + 5*t = 19. Suppose -4*r = i + 2*i - 217, -219 = -c*i - 3*r. Calculate the greatest common factor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 89\/7? (a) -1\/9 (b) -4\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u**2 - 59 + 0*u + 2\/3*u**3. Let v(f) = -126*f. Give z(v(a)).\nAnswer: 31752*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -404608 divided by -3488?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*d + 7987, 2*d = -4*h + 7*d + 31823. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1794.\nAnswer: 2\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -4*c. Find the first derivative of 0*y**4 - c - 2*y**4 - 2 + 6*y**4 wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -1.2. Suppose 5*y + 2*s + 13 = 0, 2*s + 8 = -3*y + s. Suppose 6*j + 9 = -3*j. Which is the closest to q? (a) y (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11234809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 4) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -4330016?\nAnswer: 4330018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0 - z**2 - 6 - 2*z - 2*z + 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3040 - -3727. What is the remainder when z is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = 6. Let q be 2706\/(-1356) + -1 + v. Let u = q - 459\/1582. What is the nearest to u in 0.08, -1\/6, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(12\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27588 divided by 6.\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 + 0*s - 13*s**2 + 8 + 3 - 8*s wrt s.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 12:18 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916157.\nAnswer: 11, 37, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 - 2*b + 7. Suppose -3*v + 19 = -8. Suppose v*p + 53 = -1. Calculate c(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3 + 2 - 4 + 4 - 3 + 1 + 1 + (4 - 1 - 2)*(-1 + 1 + 1) - 6 + 6 - 22)*(x + 3 - 3) as q*x + i and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*n + 4*y, 3*n + 4*y - 9 = 0. Let l = n - -4. Let j(b) = -b**3 + 3*b**2 + 2. Let m be j(3). Put 0.3, m, l in descending order.\nAnswer: l, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -1020, -1981, -3318, -5031, -7120?\nAnswer: -9585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1\/11 (c) 1\/22 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2276850 and 332390.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/108 + 4\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -8. Let d be (c\/15)\/(4\/10). Suppose -d*x - x = -3. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let d = 14 + -14.09. Let k = d - -4.09. What is the closest to s in 2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 - 5*p + 7. Let q be (-4)\/5*15\/2. Let d be c(q). Suppose 194 + d = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126396419, 252792841, 379189263?\n\"Answer: 126396422*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9745134?\nAnswer: 2, 3, 7, 37, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-2)*u))\/(u**3*u))\/(u**(-2)*u**(1\/2)))**(-2\/35))**(-2\/3) assuming u is positive.\nAnswer: u**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 10) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j + 2*m - 630, 5*m = 4*j - 665. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + a**2 - 4)*(10*a + 4*a**2 - 10*a + (-2 + 2 - 2*a**2)*(3 - 2 - 3) + a - 3*a**2 - a).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + c - 415 = 0, r = -2*c + 5*c + 431. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120.1 and -2.\nAnswer: -240.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u**2 - 5*u. Let g(h) = -7*h**2 - 50*h - 36*h + 0*h**2 + 90*h. Calculate -3*g(w) - 2*s(w).\nAnswer: 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 16. Let m be ((-135)\/(-12) + -1)*28. Let r(h) = h + m - 2*h - 288. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61998137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -29895.39027 to the nearest ten.\nAnswer: -29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064185.096 rounded to the nearest one thousand?\nAnswer: 2064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 71*x**6\/15 - x**5\/10 - 296*x**3\/3 + x**2 - 1427*x. What is the second derivative of v(z) wrt z?\nAnswer: 1704*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(10)\/sqrt(5))**2.\nAnswer: 6*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 + r - 2. Let a be t(-2). Let y = 2 - a. What is the remainder when ((-10)\/(-8))\/(-1)*-4 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31321 + 102210301?\nAnswer: 102302222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j - 2. Let b = 1 + -1. Suppose z + 1 + 5 = b. Let x = -3 - z. What is m(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + 4*f + 1. Let x(z) = -15*z**3 + 8*z**2 - 85*z - 10. Calculate -8*u(l) - x(l).\nAnswer: 7*l**3 + 53*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7054*a**3 + 7033*a**3 - 14106*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-4*g - g + 3*g) - g + 4*g - g - 4*g - g + 3*g + 1 - 1 - 4*g + 263*g + 78836 - 1161*g - 78836 in the form q*g + p and give q.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 6*c**2 + 41*c**3 + 5*c**2 - 14*c**2 - 11*c**2.\nAnswer: 41*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 6. Let v = 137095.91 + -137096. Put b, v, -3\/4 in increasing order.\nAnswer: b, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891))**2 - (sqrt(44)*5 + sqrt(11)).\nAnswer: -11*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34996, -69996, -104996, -139996, -174996, -209996?\n\"Answer: -35000*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/25)\/n)\/(n**(-15)\/n))\/((n*n**7*n)\/n*n**(1\/6)\/n) assuming n is positive.\nAnswer: n**(1313\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z - 23. What are the prime factors of w(-8)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -847919249*n**4 + 319173729 wrt n.\nAnswer: -3391676996*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5342, -10574, -15802, -21026, -26246, -31462?\n\"Answer: 2*k**2 - 5238*k - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3357992702 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 18 = s. Let h(w) be the second derivative of 2\/3*w**3 - 17*w - 3\/2*w**2 + 0. Let a(n) = 17*n - 13. What is s*a(q) + 26*h(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/9)\/(a*a**(-3)\/a)*a\/(a**2\/a*a)*a\/(a*((a\/(a\/(a\/a**(-3))))\/a)\/a*a))\/((a**4*a\/a**(-4\/5))\/(a\/a**(-2\/7))**(-2\/39)) assuming a is positive.\nAnswer: a**(-26296\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/120 - g**5\/60 - g**4\/12 - g**3\/2 + 264*g**2 + 2*g. Determine x(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a**3 - 826 - 824 + a + 1658 to x + k*a**3 + y*a**2 + h*a and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -2 - 100\/(-16) - (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -139, -284, -427, -562, -683, -784, -859, -902?\n\"Answer: l**3 - 5*l**2 - 137*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85977000 rounded to the nearest 100000?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31.89 and 0.4.\nAnswer: -31.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f + 0 + 0*f**5 + 8\/105*f**7 - 5\/6*f**4 - 8*f**2 + 0*f**6 + 0*f**3. Find the second derivative of n(d) wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/528)\/((-1)\/(-108)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 33*y**2 - 550*y - 14871. Calculate i(-37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299309257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*-14734.\nAnswer: -35361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.2 - -96. Let d = u - 44. What is the biggest value in d, -1\/15, -1\/2, -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 12*n - 491. Let q be i(17). Suppose z - 2 = -z. Let k be 12\/(-15) - ((q - 3) + z). Which is the closest to 0? (a) 5 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2122 - 2122 + 76*b)*(6*b + 0 - 2 - 8*b) + b**2 + 4*b**2 - b**2 + (-2*b - b + b)*(b + 5*b - 5*b).\nAnswer: -150*b**2 - 152*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 17. Let x be s(-17). Suppose 6*u - 9*u + 6 = x. Solve 2*n + 5 + 0 = m, 4*m = u*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -121?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -11*h**7\/70 + 4*h**3 + 4*h**2. Find the first derivative of t(y) wrt y.\nAnswer: -132*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.6977cm in millimeters?\nAnswer: 4446.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -327, -328, -329, -330?\n\"Answer: -g - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 + 1*6. Suppose -t + z = -3. Suppose -6*b + b + 5*i + 160 = 0, 0 = 2*b + i - 49. Calculate the highest common factor of t and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05734 (b) 0.4 (c) -19\/13 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 8 (c) -1\/2135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*s**6 + 11*q**3*s + 2*q**2*s + 2*q**2 + 695*q*s**6 - 6*s**2 wrt s.\nAnswer: -360*q**3*s**3 + 83400*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2105*c**4 - 958*c**3 + 5070389*c**2 - 1 wrt c.\nAnswer: -50520*c - 5748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose -f + 9 = v*k - 2*f, 0 = -3*f. Suppose d - u - 1 = 0, 2*u + 1 + k = d. What is the third smallest value in -0.2, -2\/7, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32*d**2 + 406*d + 690. Calculate m(-11).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/28 and -45\/388.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6292, -6432, -6590, -6766?\n\"Answer: -9*w**2 - 113*w - 6170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -32. Let c(s) = 4*s**3 - 5*s + 3. What are the prime factors of c(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 0. Suppose 5*i - 4 = v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 0*q**4 - q**4)*(4 + 3 + 3).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32316 by 8079.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -545838?\nAnswer: 163751.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1 - (-4)\/3). Let f(g) = -g**2 + 2*g + 2. Suppose 7 = 5*i - 3. Let u be f(i). Sort c, u, 3.\nAnswer: c, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millennium in years?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -12?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1018415 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-11)\/j)\/(j*j*j\/j**(-1\/3)*j)*(j**(-3\/4))**18)**(-3\/32) assuming j is positive.\nAnswer: j**(179\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 11*u - 7. Let n be (1300\/8)\/25 - (-1)\/(-2). What is x(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3562855 is divided by 4713.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1*1532\/(-8). Let n = c + -373. Which is smaller: 18 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.5 - -17. Is u greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 744308.33 to the nearest one hundred.\nAnswer: 744300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 + -54)\/(5\/2*(-44)\/55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/(9\/12). Let m(w) = -w**2 + w - 1. Let a(c) = c**3 + 7*c**2 - 2*c + 6. Let v(p) = a(p) + 4*m(p). Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3, v: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 612 = v, -8*i + 5*i - 2*v = 612. Let f = 1046 - i. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = v + 7*j - 1058, -5*v = -3*j - 5362. What are the prime factors of v?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2455*-3\nAnswer: -7365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 22. Let r = j - 6. Suppose 18 = r*c - d - 106, 5*c + 5*d = 130. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -88*w + 1062. Determine x(11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -478, -954, -1428, -1900, -2370, -2838, -3304?\n\"Answer: j**2 - 479*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-4)\/2)\/2. Let r(a) = a - 6. Let w(o) be the first derivative of o**2\/2 - 5*o - 10. Give x*w(q) - 3*r(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*s + 9 + 8*s - 9 - 11*s - 67*s**3 + 2*s**2 wrt s.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x. Let f be 3*(-4)\/((-6 + 0)\/1). Suppose -f*w = -j - 0*j + 6, w - 15 = 5*j. Put x, j, 3 in increasing order.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*g + 1199, 15*z = 11*z - g - 2373. Is -593 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - o - 2 = -0*o, -4*s - 2 = 3*o. Let k(j) = 4*j**3 - 8*j**2 - 6*j + 8. Let h(i) = i. Let v(f) = s*h(f) - k(f). Factor v(d).\nAnswer: -4*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111 - -11001100100010110111110?\nAnswer: 11001100100011001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.138 - 0.262. Let k = -664 + 663. What is the smallest value in 6, k, 12, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**5\/l)\/l**(-1)*l**(1\/9)*l**3 assuming l is positive.\nAnswer: l**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 36. Let v be 184\/44 - f\/(-11). Suppose -3*i = 4*o - 55, 0 = i - v*o + 6*o - 21. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431.8 - -437.8. Put -0.5, 4, 0.6, r in increasing order.\nAnswer: -0.5, 0.6, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1152467*q**3 - 15*q**2 + 12*q + 143.\nAnswer: -6914802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (14 - (-21 - 22)) + -16\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.99 - 13. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43211 (base 6) to base 2\nAnswer: 1011100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 80*w**3 - w. Give l(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2717?\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1, -0.29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**26)\/g*g*g*g\/g**(-15)*g**(-26)\/(g\/(g\/(g**(-3\/22)*g*g))) assuming g is positive.\nAnswer: g**(355\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1229? (a) -0.3 (b) -4 (c) -0.1 (d) 8 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-54))\/(16\/((-1536)\/80)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 0 + 0*g**2 + 0 to q*g + n + u*g**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -6b5?\nAnswer: 6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:23 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364706750.\nAnswer: 2, 5, 661, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12950000 rounded to the nearest one hundred thousand?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 400778315 a multiple of 9487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-34))\/c**12)\/(c**36*c**(6\/7)\/c*c) assuming c is positive.\nAnswer: c**(-573\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 97*d + 6*d**2 + 107*d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-33.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 91142.\nAnswer: -26\/45571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000268602 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155989007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4. Let v be a(3). Is ((-432)\/(-40))\/((-1)\/v) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*q = -4*p - 5, -4*p + 4*q = -20. Calculate the remainder when -2 + 1 + 0 + p is divided by (-6 - (-30)\/4)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 69160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -5, 19969 in ascending order.\nAnswer: -14, -5, 5, 19969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 1, -12941, 11, -3 in increasing order.\nAnswer: -12941, -5, -3, 1, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 164 + 11*q**2 - 19 - 213.\nAnswer: -3*q**2 - 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23113.8276 + -1369.2304. Let u = p - -24504. Let l = -21 + u. What is l rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(20\/90). Suppose -s*a - 4*b + 66 = -7*b, 0 = 5*a + 4*b - 92. Is a\/16*(293 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 + 6438*u - 6440*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 + -290. Solve -2*c = -z + 1, -c = 2*z - 3*c - d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j - 15*j - 61*j)*(-540 - 440 + 856) in the form d*j + y and give d.\nAnswer: 10044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074104 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4203, -8400, -12593, -16782, -20967?\nAnswer: -25148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14493 + 14494. Put -28.2, d, 0, 3 in descending order.\nAnswer: 3, d, 0, -28.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 = 118*y + 103 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-2)*(-540 + 38). Let u = -1185 - j. Is 46 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 2. Let d be x(0). Let j = -3.2 + 3. Which is the second biggest value? (a) j (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-2.074.\nAnswer: -0.24888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8716831 and 2279?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 352.304 times 1012\nAnswer: 356531.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 1. Let m = f + 0. Let h be (0 + 1)\/(m + -2). What is the third biggest value in -4, h, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 32*f**2 + 89*f + 111. Give c(-29).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from ggggggggglggggg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from uusbbubusubuuub?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5 = 61*p - 58*p - 7, -5*p + 19 = -4*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 13. Let i = -4.999981 + y. Round i to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1575, -3228, -5885, -9552, -14235?\n\"Answer: -d**3 - 496*d**2 - 158*d - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -16 + ((-39)\/(-2))\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*s - 2*s**3 + 528*s - 1034*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 3*b**2 + 2*b**2)*(31 - 8 + 24 - 29*b).\nAnswer: -29*b**3 + 47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700)*1)\/(sqrt(63)\/(sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7))) + (sqrt(120)\/(-1*sqrt(8)))\/(sqrt(35)\/(sqrt(7) - sqrt(112)) - sqrt(5)))**2.\nAnswer: 45387\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 5. Suppose 0 = -h - 5*o + 25, 0 = -4*h - 0*h - 5*o + 40. Let w(x) = x + 6. What is h*w(g) - 6*a(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 96642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3387900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*c**5 + 2*c**4*d**2 + 10*c**2*d - 193*c*d + d**2 wrt c?\nAnswer: 420*c**3 + 24*c**2*d**2 + 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 11. Let z(t) = -44*t - 120. Determine -32*w(v) - 3*z(v).\nAnswer: 4*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 44138*j**2 + 263573424*j - 216512551584.\nAnswer: 2*(j - 10548)**2*(j - 973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.4328ml in litres?\nAnswer: 0.9154328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 99*t - 379. What is u(0)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 12. Let o be v(-10). Suppose -3*b + 5*l = -2*b + 29, o*l = 5*b + 30. Let m = 0.3 - 0.5. Is m equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:45 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z + z + (-5 + 2 + 2)*(-z - 1 + 1) - 1 + 2*z + 1 + (6 + 1 + 0)*(0 + 1 + 7)*(5*z + 8*z - 6*z).\nAnswer: 396*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/348)\/(420\/(-40) + 14).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 113*l**2 + 171*l - 326. Let x be r(55). Which is the fourth smallest value? (a) 0.1 (b) -5\/4 (c) -3 (d) x (e) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.9929 + 45. Let v = q - 47.8071. Round v to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 52, 35, 14, -11, -40?\n\"Answer: -2*m**2 - 11*m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 55*z + 202. Is 98 a factor of n(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6743 is divided by 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -5 (c) -1\/5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27808 and 2528?\nAnswer: 27808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5117250 to the nearest integer?\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 2)\/((-880)\/1232). Solve -13 = -4*f + 3*b, 19*b - 22*b = 2*f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.21 - 1.81. Let g = -1.15 - -0.05. Let i = -1 - g. Put j, i, 4 in increasing order.\nAnswer: i, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 314 - 210. Let l be 4\/14 - c\/(-28). Solve -v - 6 = l*m, 0*m + 5*v - 14 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028652 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 25. Give w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + z + 3. Let i be g(-1). Let b be (100\/(-40))\/(i\/(-8)). Solve -2*w - 10*w**2 - w + 5*w**b - 2*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1765*i + 1314*i - 1719*i to the form s*i + t and give s.\nAnswer: -2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 2, -2, -13 in descending order.\nAnswer: 2, -2, -13, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6232*k + 169302 + 314199 = -46219 for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 343*t**4\/8 - 7145*t**2. Let w(h) = 5*h**2. Give g(w(k)).\nAnswer: 5145*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/6 + k**3\/3 - 1586*k**2. Let h(s) = -2*s + 1. Give -4*a(l) + 7*h(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2740, 5689, 8846, 12205, 15760, 19505, 23434, 27541?\n\"Answer: -p**3 + 110*p**2 + 2626*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose v - 5 + 2 = m. Let s(k) = k + 2. What is s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - m = 349, 4*p = m + 279. Let v = 105 - p. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 3403.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 + 127.78. Let n = 132 - y. Let t be 0*(1\/(-2))\/1. What is the biggest value in n, t, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/95 + 781\/665. Which is the second biggest value? (a) -4\/5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2210 and -7\/1300?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/6)\/(3\/(-676)). Let f = -337 - h. Let t(w) = 75*w**2 - 13*w + 3. Let o(l) = -25*l**2 + 4*l - 1. Let x(y) = -7*o(y) - 2*t(y). Determine x(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z + 79. Determine y(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*l = -1296*l + 42 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(324))\/((-1*sqrt(120))\/sqrt(10) - sqrt(12)))**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - 0.14. Let q = -0.0196 + j. Let f = -0.07 - q. What is f rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 + g**2 + 13*g - 56. Give f(3).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 13*h**2 - 39*h - 135. Let f be i(-15). Solve -10*w + 37 - 7 = f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*7 - (-9)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 9*o + 2*d - 525, 5*o - 875 = 4*d. Suppose -2*n - o = -9*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + -6 - -14)\/(1\/(-2)). Let c(j) = -4*j**2 + 3*j + 4. Let p(u) = 1. Let y(h) = -c(h) + 4*p(h). Let f(v) = v**3 - 13*v**2 + 9*v. Give l*f(w) - 7*y(w).\nAnswer: -2*w**3 - 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*i*m*t - 43916*d**2*i*t + d**2*m + 2*d*i*m*t - d*i - 564*d*m*t + 13*d wrt d?\nAnswer: -4*i*m*t - 87832*i*t + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**37*z**(2\/77) assuming z is positive.\nAnswer: z**(2851\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*l = 0, l - 6 = 4*c + 3*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 5. Let a(k) = 10*k + 14. Give 6*a(y) - 17*j(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -92, -138?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4 and 53\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3. Let f(q) = 4*q**3 + 5*q**2 - 29*q - 6. Let x(k) = -2*d(k) - f(k). What is the hundreds digit of x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131763 + 133530.51. What is c rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.1 * 31294\nAnswer: -754185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 829\/52 - (-1209)\/20956?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 4473*v**5\/20 + v**4\/6 - v**3\/6 + 709*v**2\/2 - 172*v - 9. Find the third derivative of f(j) wrt j.\nAnswer: 26838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306239 = 4*x - 3*p, 3*p = 8 - 11. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/214887114 and -95\/234?\nAnswer: 214887114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3259 + -3151. Calculate the highest common factor of r and 2592.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -133.9 + 134. Let s = -5.87 - -6. Let t = -2.13 + s. What is the third smallest value in t, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let t be w(5). Let z = t + -2. Suppose 2*h = z*o + 16, 4*o + o - 38 = -h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*33807.\nAnswer: -304263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 449201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t)**(-34)*((t*t**(1\/2)*t)\/t)\/t*t**(4\/5) assuming t is positive.\nAnswer: t**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + c**3 + 11*c**2 - 2*c + 12 - c**2. What is the units digit of b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - x + 6*x)*(-1 + 1 + 5) + (8*x - 26*x - 56*x)*(0 + 3 - 1)*(1 + 3 - 6).\nAnswer: 301*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:57 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3414 and 831.\nAnswer: 2837034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -421 (b) 139 (c) -0.5 (d) -2 (e) 1\/2 (f) 5 (g) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/120*3350\/20 and -79\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.76 + 14.195. What is a rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3693606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*j = 9*j + 1824. Calculate the remainder when j is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 88 = 5*s + 206, -23 = s + g. Let w = s - -27. Solve c - 5*q + 3 = 0, 3*q + 3 = w*c - 0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83691 and 31790?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/(((-88)\/90)\/22).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 4, -128.\nAnswer: -128, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/13, 1, -2\/13, -17\/107 in descending order.\nAnswer: 1, 9\/13, -2\/13, -17\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*v + 3 + 3 = 0, -5*h + 4*v - 40 = 0. Let o(k) = k**2 - 4*k - 6. What is the units digit of o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15\/c)\/c**(2\/39)*c**(-11\/5)*c\/((c\/(c*c\/(c\/(c**(13\/5)\/c)*c)))\/c) assuming c is positive.\nAnswer: c**(2798\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 426\/27 - 4\/(-18). List the prime factors of (s\/6 + 0)*(-513)\/(-12).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**4 - 19*z**2 + 18*z - 4. Let c(x) = -10*x**4 + 20*x**2 - 20*x + 5. Let b(v) = -4*c(v) - 5*h(v). Factor b(u).\nAnswer: -5*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4822511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2793152 = -57*t + 40*t - 135*t. List the prime factors of t.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 - 109*b**3 + 171 - 222*b**3 - 344 as x*b**3 + p*b + o + t*b**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 7*y + 6. Let u(m) be the first derivative of 4*m**3 - m**2 + m - 1. Let j be u(1). Let w = -7 + j. Determine s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)*4\/6. Suppose -w = h*w. Solve 2*k + w*k - 5 = -3*o, k - 15 = -4*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5*i - 5*i**2)*(6 - 1 - 1).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -cf0f?\nAnswer: cf0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 - 163 = 2*m. Solve n + 4*b = 1, n - 1 = -m*n - 2*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161247 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h + 3. Let t(y) = -7*y + 2. Let w(c) = -5*b(c) + 6*t(c). What is w(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/294 + 29\/3 - (46 + -51)?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1\/7, -0.5, -0.2, 2.2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3457420, 6914843, 10372266, 13829689?\nAnswer: 17287112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from ybjbjmxmjmbyqbmyy?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-166)\/(-34) + 132\/(-34) + 4. Suppose 3*s - b*s - k + 11 = 0, -2*s + 2*k + 2 = 0. Suppose -4*o + s = -4. Solve -o*v = -6*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u - 213. Let h be b(14). Suppose -3*k = 3*x, 9 - 2 = -5*k + 2*x. Let s = 0.2 - 0.3. What is the closest to k in s, 0.2, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46536?\nAnswer: 2, 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 195666374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 134 + -1135\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - i - 3*i + (-1 - 1 + 1)*(i + 4*i - 4*i) + 3 + 3*i - 3)*(31 + 21 + 13) as v + q*i and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -69*t - 458. Calculate q(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t - 2*t)*(-5 - 5 - 4) + (8 - 1 + 1)*(0 - 2 + 1)*(t + t - 4*t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -5*l**4\/12 + 5*l**3\/6 - 47*l. Factor w(b).\nAnswer: -5*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.015 + 0.018. Let m = -0.367 - h. What is the third smallest value in 1, m, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 19 + -6 + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-11 - (10 + -9 - 5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1805 - 7075. Let v be (b\/18)\/(2\/15000). What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 times -9.6135\nAnswer: -884.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 87258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*a*g**2 + a + 42*g**2 - 3 wrt a.\nAnswer: 14*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*g. Let j = -126 - -121. What is the closest to g in 0.07, j, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -3, -1227, 3 in descending order.\nAnswer: 3, 2, -1, -3, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57046, 57054, 57064, 57076, 57090, 57106?\nAnswer: 57124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(500) + (sqrt(500) + (sqrt(500) - sqrt(500)*3) - sqrt(500)) + sqrt(500) + 4 - sqrt(500)) + -3 + 4 + sqrt(500))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 153753*p - 76427994.\nAnswer: -3*(p - 50749)*(p - 502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 9) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 6*f**2 + 6. Let g be 2\/(((-9)\/(-12))\/(-3)). Let h(s) = 6*s - 10. Let k(j) = -j + 2. Let v(q) = -2*h(q) - 11*k(q). Let t be v(g). Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 26. Let y be a\/(-12)*(-3)\/(-2). Solve -13 = 4*o - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - i - 7, -2*s - 2*i - 6 = 0. Let d(y) = -y**3 + y**2 + y + 3. Is d(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 10602?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 1. Let w(f) = -2. Suppose -4*k = -2*k - 4. Suppose k*z = 1 - 5. Determine z*b(h) - w(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/40 and -107\/42276.\nAnswer: 422760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Suppose g + i = -5, 17 = -g - 4*i - 3. Let f(h) be the second derivative of 0 + g*h**3 + 10*h - 5\/6*h**4 + 0*h**2. Give t(f(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -53?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - h = -39386, h - 11 = -4. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -3*c - 2*c. Let b be (-1 - -5)\/((-21)\/c). Let i be b\/12 - 3\/9. Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*s**3 - 2*j - 2*s**4 + 8*s**3 - s**2 + 10 wrt s?\nAnswer: 6*j - 48*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 7) in base 2?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 2\/5, 0.042, -336, -5 in descending order.\nAnswer: 2\/5, 0.042, -0.14, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 13. Let q(r) = r**2 - r - 14. What is -5*q(s) + 6*t(s)?\nAnswer: -5*s**2 - s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-42)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27117198 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 - 105*v**4 - 85*v**3 + 305*v**2 + 90*v - 200 = 0 for v.\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) + sqrt(504)*-1*-4 + sqrt(504))\/(-1*sqrt(1728)\/sqrt(6)) + -1.\nAnswer: -3*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/24 (b) 114\/11 (c) -4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 47*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1644, -3483, -5328, -7179, -9036, -10899?\nAnswer: -12768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 59\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**2 - 5*f - 5. Let h(g) be the first derivative of 7*g**3\/3 - 3*g**2\/2 - 3*g + 71. Suppose -2*z + 10 + 0 = 0. What is z*i(s) - 8*h(s)?\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -16. Which is the nearest to 0.1? (a) g (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 20.15502 weeks?\nAnswer: 12189756096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -564 (base 8) to base 12.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67183?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 263*z - 10150895 - 2659572. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-130))\/((-1)\/(-5)). Let x be 2\/5 + (-54)\/10. Let l be (-21)\/(-9)*(-7 - 500\/(-70)). What is the nearest to l in d, -3, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5209 divide 351123063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a + 7. Suppose 2*h = v, 41*v - 45*v = 5*h + 13. Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/18)\/((-3)\/45)*30. Let f = o - -65. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(2 + -1 + -2). Let d(y) = -2*y + 1. Let v(g) = -2*g + 1. Let k(w) = l*d(w) - 4*v(w). What is the units digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugyg when four letters picked without replacement from uyuuuygugyy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-3 + sqrt(180))*6 - ((1*sqrt(2940))\/sqrt(12) + 4)) + -3)**2.\nAnswer: -45046*sqrt(5) + 258846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 953 - 954. Let w = 141 + -427\/3. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4272? (a) 2 (b) -0.178 (c) 1\/2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 10, 1.7, -1\/5, -22, -12, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/4 + 10*y**3\/3 + 13*y**2\/2 + 11*y - 10. What is the tens digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 49*w**2 + 65*w**2 - 21*w + 19 - w**3. Let s be b(17). What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1704)\/9)\/((-2)\/3). Find the third derivative of 8*j**3 - 8*j**2 + h - 284 wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - y = -3*c - 39, 3*y = -3*c - 27. What is the remainder when 63 is divided by (c\/10)\/(18\/(-495))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 11 = -5*r, -5*c - 5*r = -5. Solve 5*a = c*i - 18, -5*a - i = 3*i + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157340, -628051, -1412130, -2509577, -3920392, -5644575?\nAnswer: -7682126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 10 - 2059*l + 1014*l + 1053*l.\nAnswer: l**2 + 8*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154887 and 1086861?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4910 and 4.\nAnswer: 4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (24 - -13) + -42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-90))\/(768\/5120)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -3 - (-19 + -50).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v. Let w = -203 - -205. Let j(k) = 976*k**w - 485*k**2 - 486*k**2. What is j(l(b))?\nAnswer: 245*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 3*h - 8*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d**2 + 7. Suppose 79 = 4*o + 7. Calculate the remainder when o is divided by b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222258 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.442 - -1.03.\nAnswer: -20.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y. Let o(j) = 25*j**2 - 294*j + 2. Let t(x) = -37*x**2 + 295*x - 3. Let z(s) = 3*o(s) + 2*t(s). Give z(u(b)).\nAnswer: 16*b**2 + 1168*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31 + 33 + 0*w**2 - 3*w**2 + w**4 + w**3 - w + 0*w**4.\nAnswer: (w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2386363, 2386362, 2386361, 2386360, 2386359?\n\"Answer: -l + 2386364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 37*v - 5. Let z(n) = 944*n - 128. Let h(x) = -128*i(x) + 5*z(x). Let q(p) = 4*p. Let f(j) = j. Let u(g) = 3*f(g) - q(g). Give h(u(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {e: 6, x: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {l: 4, y: 1, a: 5, m: 10}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r + 7 + 0*r**3 - 4\/25*r**5 + 0*r**4 + 0*r**2. Factor s(u).\nAnswer: -4*u**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114.197 + -114. Let h = -9.961 + -32.736. Let o = r + h. What is o rounded to 0 decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Let o(y) = 8*y - 1 - 3 - 2. Give -6*f(a) + o(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*k - 10, k + k = 3*q + 7. Which is the nearest to -0.1? (a) -30 (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(60)\/(-2*(sqrt(12) + sqrt(12)*-5)) + ((sqrt(15) - (sqrt(1500) + sqrt(1500)*-4 - sqrt(1500))) + sqrt(15))\/sqrt(3).\nAnswer: -1 + 337*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 + 5 + -6 + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 0 - 1 + 4 - 2. Let r(k) = -k**2 + 6*k + 1. Let h be r(6). Calculate u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = v - 18, 4 = 2*v + 4*f + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibwwbwbwopopww. What is prob of picking 1 b, 2 o, and 1 p?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22506, -25339, -28172, -31005, -33838?\nAnswer: -36671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:12 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/7 - 99*s**2\/7 + 2295*s\/7 + 7803\/7.\nAnswer: (s - 51)**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*q - 7, -9*b - q = -8*b - 2. Find the third derivative of -18*r**3 + 10*r**2 - 56*r**b - 31*r**3 - 124*r**2 wrt r.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 2. Let r(l) = -3*l**2 - 9*l - 22. Give r(u) + y(u).\nAnswer: -3*u**2 - 5*u - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**15\/(y**(-2\/17)\/y**(-1)) assuming y is positive.\nAnswer: y**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 1672778 + 241293 = -26*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 5*g - 3. Let n(j) = -j**3 + 4*j + 3. Let l be ((-780)\/(-16))\/15 + 18\/24. Give l*a(i) + 5*n(i).\nAnswer: -i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*t + 4*a - a, 2*a - 4 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195051340 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*u**2 + 16*u**2 - 13*u**2 + (0 + 2*u + 0)*(3 - 3 - 2*u) + (2 - 4 - 4)*(-u + u**2 + u) - u**2 + 4*u**2 - u**2.\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1599*g**5 - 297*g**4 - 2*g**2 - g - 61677 wrt g.\nAnswer: -95940*g**2 - 7128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20433 and 5838?\nAnswer: 40866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + -1) - (8 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 13*y**2 - 20*y - 24. Let t be d(11). What is the third biggest value in -1, t, 2\/9, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**4 + 5*l**4 - 7*l**3 + 1 + 14*l**4 as b*l + r + o*l**3 + k*l**4 + q*l**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*r - 323*r + 163*r - 166*r to l*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21\/25 + -6\/25. Let u(f) = -2*f**3 - f**2 - f - 2. Let m be u(-1). Is m less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 - 0.06. Let u = -1.2 + n. Suppose 4*x - 5 = 4*a - 13, 22 = 2*a + 4*x. Sort u, a, -0.5 in ascending order.\nAnswer: u, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525721529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 334198889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -12, -5, 0, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 756194515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 6. Let y(t) = 3*t - 4. Let i(l) = 2*j(l) - 3*y(l). Give i(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-348)\/580. Which is the fourth biggest value? (a) -0.2 (b) 12 (c) r (d) -0.1 (e) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aa (base 13) to base 16.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)\/(a*a*(a\/(a**4*a))\/a*a*a))\/((a*(a*(((a\/a**(3\/5)*a)\/a)\/a)\/a)\/a)\/((a**(-2\/3)*a)\/a)) assuming a is positive.\nAnswer: a**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/12)\/((-3)\/(-8)). Let g(h) = h**3 - 2*h**2 - 3*h - 16. Let z be g(m). Suppose 2*w - z*k = 242, 5*w - 3*k - 585 = 2*k. List the prime factors of w.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 3, h: 1, v: 1, f: 8}. What is prob of picking 1 h, 1 v, and 1 f?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let c(u) = -2*u - 13 + 5 + 4*u + u**2 - 3*u. Let t(m) = c(m) - 5*f(m). Give t(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -15) + -1 + 5 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**2 + 63*s - 159. Let l be y(9). Solve -8*k + 5*d = -5*k + 19, l*d = 5*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7522.\nAnswer: 2, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*j - 146*j + 26*j**2 + 81*j + 1473 - 1473.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-1)\/10. Let n = 12.8 + -1.8. Let h = 13 - n. What is the closest to t in -2, 3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -16) + -22 - (-2 - 0 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**3 + 126*i**2 - 33*i - 2. What is y(-10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1149*t - 78. Let o be w(-17). Suppose 0 = -n - 4*s + o, 0 = -3*n - 0*n + 3*s + 58335. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 40*r**2 - r - 2. Let m be i(-2). Let o = 31 - 27. Does 8 divide (m*1)\/o - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12112, -12111, -12110, -12109, -12108?\n\"Answer: n - 12113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/118 + ((-11)\/12)\/((-11)\/(-22)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.49598 tonnes to nanograms.\nAnswer: 5495980000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) 0.065264 (c) 16.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -130, -463, -1120, -2209, -3838, -6115?\nAnswer: -9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -158 (b) -116333 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 + 0)*(1 - 2 - 1)*(-3*o**4 + o**4 + 3*o**4).\nAnswer: -30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10)*196\/441.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6 and -25\/153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375732 is divided by 684?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/17738708 and -29\/17738708?\nAnswer: 17738708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -13. Suppose -b*a + 6*a = -38. What is the highest common factor of a and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96670780.407893522 + 96670780. Let v = 0.4079 + w. What is v rounded to seven decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:15 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5424\/94016)\/((-5)\/(-3900)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 37*c**2 + 19*c + 3. Let g(b) = 12*b**2 + 6*b + 1. Let y(i) = -6*a(i) + 19*g(i). Let m(x) be the second derivative of -x**4\/6 + 10*x. Give m(y(l)).\nAnswer: -72*l**4 - 24*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -403*y - 1469. What is k(-4)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -156*i + 149*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 less than 40793\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2401639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -17, 14 in descending order.\nAnswer: 14, 3, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-36)\/42*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 4*i - 2. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, -0.5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 5, s: 7}. Give prob of picking 2 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y**2 + 104*y**2 - 38 - 56*y**2 + y**3.\nAnswer: y**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - 1513\/178. Let k(z) = -z**2 - 8*z + 3. Determine k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 24*r**2 - 353*r - 4690. Is s(-14) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 16. Solve -3*q - 4 = -3*f + 11, t*q - 4 = -4*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 - 1 + 3 - 1 - 2 - 2 + 3 + (0 + 0 - 2)*(0 + 0 + 1) - 6 - 2 - 3)*((-16 + 16 - 6*m)*(m**4 - 2*m**4 + 10*m**4) - m**5 + 6*m**5 - 3*m**5).\nAnswer: 728*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1900 and 342800.\nAnswer: 6513200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 8*b**2 + 73*b**3 + 2*b**2.\nAnswer: 73*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/130*494\/380. Let 1\/4 - 1\/4*l**3 - m*l**2 + 1\/4*l = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 3, h: 8, q: 2, f: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*k + 67*k + 2269 + 1357 = -1234 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a (base 15) in base 13?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l - 20*l - 15554111 = -15*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122011 (base 5) to base 11\nAnswer: 3530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*a - 1 = 204*a + 3*f, 0 = -3*a + 2*f - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*s - 51 - 255 = 0, s = -6*f + 549. What is the remainder when 7469 is divided by f?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1710 - -906. Let c = 1233 + y. What is the highest common divisor of c and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986321 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*j - 4, 3*j + 0*j = -d - 6. What is the lowest common multiple of 2 and (-30 - d)*(-8)\/20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t**2 - 8*t**3 - 28*t**2 - 26*t**2.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-109 - -40) + 36.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 78*q - 36. Let s be l(-15). Let h = -6 + 9. Solve -s = -0*a - h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 76. Let w = -29.2 + k. What is w rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 4, c: 3, t: 2}. What is prob of picking 1 o, 2 c, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*v + 10. Calculate the highest common divisor of 12 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10523990\nAnswer: -10523986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 468396 divided by 3?\nAnswer: 156132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaq when three letters picked without replacement from {q: 1, a: 4, i: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (30\/((-6)\/(-2)))\/(106\/41234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(1216) - (sqrt(1216) + (1 + sqrt(1216) + sqrt(1216) - sqrt(1216)) + 5))**2)*-3.\nAnswer: -18840 - 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 84. Suppose -85 = -4*q + o, -q - q - 2*o + d = 0. Calculate the remainder when (-1)\/(2\/q*-1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153217 (base 9) to base 12.\nAnswer: 46637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -122. Let c be a\/12*2\/3. Solve c*b - 6 = 4*r, 10 = -4*b + 9*b - 5*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, -1, 15710, -3 in increasing order.\nAnswer: -5, -3, -2, -1, 3, 15710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 - 933 = -3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-630 + 630 - 151*h**2)*(-4*h + 5*h - 3*h) to o*h**2 + r + g*h**3 + m*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -u + 3, -3*u = 4*r - 3 + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11482 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(12\/19))**(-2\/9) assuming i is positive.\nAnswer: i**(8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63899837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. Let m(c) = 12*c - 15. Calculate the remainder when m(y) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - r + 4*r**3 + 20 - 2*r**2 - 23 + 73*r to the form n*r**3 + i + c*r**2 + a*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1400149.38249 - -1400142. Let i = y + 2.682974. Let w = i - -4.7. What is w rounded to 5 dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 7) to base 14\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2385 = d - 367. Suppose 2*v = 6*g - 2*g - d, 5492 = -4*v + 4*g. What is v rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 244 + 240 = -4*l, -5*l = 2*w - 12. Solve -b - 3*x = l, -123 + 86 = -5*b + 4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*(0 - 5). Let n be 65\/(-15) - v\/(-6). Sort n, 0, 3 in increasing order.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.06, 9\/4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 + 98940*a**2\/7 - 98944*a\/7.\nAnswer: 4*a*(a - 1)*(a + 24736)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 1057\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3796, 3794, 3792, 3790?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9295260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/2, 5, 0.1 in descending order.\nAnswer: 5, 1\/2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 > 466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.967 + 0.033. Let k = 21.5 - l. Let f = -1.3 - k. Is f >= 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78970\/3201 - -4\/1067. Find the common denominator of -2 - -1 - 21\/(-8) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -98\/11, -9, 0.3, -55?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -21. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5.33. Let x = 0.453 + 0.077. Let l = u - x. What is the second biggest value in -7, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 255\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 < -14307\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 0.03738.\nAnswer: -2.09328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -179*v**2. Let z(k) = -1216*k. What is z(f(h))?\nAnswer: 217664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 137. Calculate the remainder when 76 is divided by s(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -21*m**4 + 3*m**2 + 9. Let o(k) = -11*k**4 - 2*k**2 + 12*k**4 + 10*k**4 - 5. Let h(r) = 5*d(r) + 9*o(r). What is the third derivative of h(g) wrt g?\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = x + 8, -2*x = 5*v - 10. Let f be -1 + 0 + -3 + v. Suppose 120*c - 9 = 117*c. Solve f*u - c = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376591164.\nAnswer: 2, 594147791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*o + 36697 - 18387 - 18456)*(4 - 2 - 2*o + 0) to the form n*o + t*o**2 + q and give q.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*d - 102, d - 4*n - 41 = -0*d. Suppose 5*u - 3*l - 271 = 0, d = 5*u + 4*l - 235. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*155.\nAnswer: 16585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2*3 - sqrt(117) - sqrt(117)) + (sqrt(117) - (sqrt(117) - (sqrt(117) - 1*sqrt(117)*-6))))\/((1*sqrt(81)\/sqrt(3))\/(sqrt(9)\/(1*sqrt(3)))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4*(-7)\/(-70))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1801274 or -1801276?\nAnswer: -1801276","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -1638 divided by -745?\nAnswer: 1638\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-4*v**5 - 2*v**5 + 3*v**5) + v**2 + v**5 - v**2 + 0*v**5 - v**5 - 2*v**5 + (-2*v**4 + v**4 + 2*v**4)*(2*v + 6*v - 4*v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*i + i - 6*i)*(-2 + 2*i**4 + 2).\nAnswer: 32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -55.4 (c) 1 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 46. Let n be a(0). Suppose z + 0*z - n = 0. Suppose -g + 3*c + z = 0, g + 4*c - 190 = -2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 8, 5, -3, -4 in increasing order.\nAnswer: -26, -4, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 7. Suppose 5*a + 18 = 2*a. What is the units digit of c(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 4*w**2 - 2*w**2 + 14*w - 14. What is the units digit of f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7434 and -81\/826?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 15*s**2 - 9*s + 21. Let k(q) = -q + 3. Let u be k(18). Let w be t(u). Suppose -r + w = 3*r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 7*t**4\/24 - t**3\/6 - t**2. Let l(s) = -5*s - 376. Let c(k) = 7*k + 517. Let b(y) = 8*c(y) + 11*l(y). Determine p(b(n)).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45504629683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -31, 0, 4, 2, -6 in increasing order.\nAnswer: -131, -31, -6, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30445.11 milligrams in kilograms?\nAnswer: 0.03044511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**3 + 22*a**3 + 21*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.34358ns in hours?\nAnswer: 0.00000000000620655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 225*p**2 + 740*p - 16905. Give j(222).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14682472 and 8?\nAnswer: 14682472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (-4)\/(-6))*-3. Let s(v) = 7*v**2 + 1. Let j be s(x). Suppose -3*l + 4*i = -34, -3*l + j - 2 = 3*i. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137664*s**4 - 133717 wrt s.\nAnswer: -550656*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 535131, 534322, 533513?\n\"Answer: -809*u + 535940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7893b (base 12) to base 14.\nAnswer: -425d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1046305 - -30?\nAnswer: -1046265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3985 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: Suppose 24 = -3*u - 0*c + 4*c, 0 = -c + 3. Let m = 10 + u. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**2 + 0*z**2 + 2*z**2)*(7 - 5 + 9) + (-3*z + 2*z + 2*z)*(-2*z + z + 3*z))*(-12*z**3 + 27*z**3 - 16*z**3).\nAnswer: -35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 863561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 2575*p - 324120.\nAnswer: -5*(p + 219)*(p + 296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhnhqxxh. What is prob of sequence nx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1380 and 99\/50.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -493.5 and -3.\nAnswer: 1480.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -12. Let m = c - -33. Calculate the remainder when ((33 - -3)\/(-2))\/((-1)\/m) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/12 = -4\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15532.092 - 15531.65399785. Let o = 0.438 - x. What is o rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.10038 or 1082?\nAnswer: 1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1586)\/(-18) + 4\/144*-4 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, p: 1, x: 2, z: 1, e: 4, f: 3}. Give prob of sequence fx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 555993, 555995, 555997, 555999, 556001?\n\"Answer: 2*g + 555991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*q - 30*q - 935. Solve 0 = -x + q - 87 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16809925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from wwqvdkff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*j + 80, 3*j = -2*f + 58 - 3. Suppose 106*v - 2*r + 27 = 111*v, v + 4*r = 9. Calculate the greatest common factor of f and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33122320 + -220?\nAnswer: 33122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, 1 v, and 1 y when four letters picked without replacement from yzkzvzzvzzklvys.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 265)*(-10)\/(-10). Let r = q - -3418\/13. Put -5, 2\/7, r in ascending order.\nAnswer: -5, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)*u*u*u\/u**(4\/7)*u*u*u**(2\/49)*(u\/(u**(-1\/6)*u))\/u*u)**(-38) assuming u is positive.\nAnswer: u**(-17518\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 692 + 64. Let a = 1391 - d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12848)\/4734488)\/(1\/(-22))\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2718 divided by 453.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 8, 4*k - 30 = 5*m + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144951 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m = -411 + 86 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -51*q + 3. Let z(f) = -229*f. Determine z(s(i)).\nAnswer: 11679*i - 687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23. Which is the third biggest value? (a) -0.5 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -189*g**5 - 17568*g**4 + 111147*g**3 - 198318*g**2 + 66912*g + 38016 = 0?\nAnswer: -99, -2\/7, 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3560012*j**3*p + j**3 + 3*j**2*p + j**2 + 7060*j*p + 10*p + 3 wrt j.\nAnswer: 21360072*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252046000 rounded to the nearest one million?\nAnswer: -3252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23154105000 - -5?\nAnswer: -23154104551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + w**2 - 28 - 5*w**2 + w**2.\nAnswer: -3*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = b, 3*r - 14 = -4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 208 + (-63 - 6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from hhhosodooh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2264, 2\/7, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8031.\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g**0\/g))*g)*g\/(g\/(g\/(g\/(g\/g**(-2\/13)))*g)*g)*(g**(1\/4)\/g)**(-1))**(-30) assuming g is positive.\nAnswer: g**(-2265\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Suppose -3*m = 2*m - y*r - 70, -5*m = -r - 70. Calculate the remainder when 55 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l**2 + 2. Let q = 26 - 37. Let r be v(q). Suppose -4*b = -r*p - 3482, b = 3*b + p - 1739. What is b rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9482.484 months?\nAnswer: 79.0207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187.9 + -943.9. Let z = -756.58 - f. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (22 - (-7 + 5 - (-1 - 12))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:16 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f + 4*j = -1043, 4*j - 856 = -4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-13) - (73 + -69). What is the second smallest value in -2\/7, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105528934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:24 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -590 - -625. Let o be (-55)\/44*(-56)\/s. Solve o*h + 2*p = 2, p + 5 = 6*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83766557.\nAnswer: 7, 31, 37, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31695088 and 4107.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329459290 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-3)*(-30)\/(-20). Calculate the greatest common divisor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12442 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 g when three letters picked without replacement from {l: 2, w: 1, g: 1, c: 1, b: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovovvggcoogvgvg. Give prob of sequence cvv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -3\/5, 249, -17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 459*d**3 + 6*d**2 - 6*d - 6. Let w be m(2). Suppose -18*f + w + 5916 = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 0*n**6 + 0*n**3 - 27\/56*n**8 + 0*n**5 + 0 + 0*n**2 + 0*n**7 - 2*n**4 + 9*n. What is the third derivative of i(w) wrt w?\nAnswer: -3240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155695 and 5.\nAnswer: 155695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 3. Suppose 0 = -5*k + 5*s - 130, s - 36 = 5*k + 102. Let c be k\/(-51) - (-2)\/(-3). Sort 1, w, c in descending order.\nAnswer: 1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107318858 divided by 53659429.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 21*h**2 - 3*h + 65. Let f be x(21). Factor 1\/4*y**3 + 0 + 0*y - 1\/4*y**f.\nAnswer: y**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 491, 728, 949, 1148, 1319, 1456?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4481 - 1122. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 190837 - 190834 + 381671.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + ((-29144)\/(-4160) - -1). Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 11*m + 28*m + 6 - 19*m - m**3 - 2 + 7*m**4 - 15*m**4 as a*m**3 + i*m**4 + c*m + r + f*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -2) + (4 - 6\/2) + 35264 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -5 (c) 31 (d) 570 (e) -0.5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 93. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*s + 7*s - 5*i, 119*s - 25*s - 4*i = -258 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w + 13. Let i be a(10). Suppose 27 = 4*f + 3*v, 0*v = i*f + 2*v - 21. Solve -p - 2*p = f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -172?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12871*v - 18206*v - 13683*v - 1814*v.\nAnswer: -46574*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r\/r**(-4\/11)*r)\/r)\/r)\/r)**(-37)\/((r**(-1\/3)\/r)\/r)**20)**18 assuming r is positive.\nAnswer: r**(6576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-3)\/(9\/6). Suppose 5*v - 36 = 3*u, u - 48 = -5*v - 0*u. Suppose h - v = -n*h. Solve 4 = -5*j + h*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Sort 7, -1, w in decreasing order.\nAnswer: 7, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1*16\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 40 = -3*c - c, 3*c + 18 = 3*l. Let g(p) = -5 + 3 + l*p + 2. Let z(h) = h. Calculate g(z(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 154\/49 + -2 + (-342)\/(-1134)*-27\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 10*c + 16568, -5*g + 2*c = -41443. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsqq when four letters picked without replacement from {s: 1, q: 4, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*3\/63)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a21a4 + -2?\nAnswer: 22a21a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, -4*v - 4*j = -2*v - 8. Are -1\/2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65795533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*i**4 + 4 + 62*i**4 + 5 with respect to i.\nAnswer: -176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5*u = -21, 2*s - 29*u + 32*u + 19 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**7\/2520 - s**6\/360 - s**5\/60 + s**4\/12 - 3*s**2. Let m(c) be the second derivative of h(c). Calculate m(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuccubbucuu. Give prob of sequence cccu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16705 - -21584. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6633, 13281, 19929, 26577?\nAnswer: 33225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 61*k. Let m(o) = 4*o**2 + 3*o. Let r(c) = 2*c**2 + 2*c. Let b(z) = 2*m(z) - 3*r(z). Give b(p(q)).\nAnswer: 7442*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5950)\/1960 - 45\/(-15)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 34*d - 5. Let p(i) = 1599*i - 234. Determine -234*b(h) + 5*p(h).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -100228*(-1)\/(-2)*56\/(-112) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-18)*(217\/(-49) - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 - 203*h**3*m + 21*h**2 + 157*h*m + h + 63*m wrt h?\nAnswer: -12*h**2 - 1218*h*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-13 + (-6 - (-13 - 0)))) + -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 8:47 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbcr when four letters picked without replacement from {b: 5, r: 7, t: 1, c: 1, f: 5}.\nAnswer: 35\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -131, -1, 164, 3.\nAnswer: -131, -1, 1, 3, 5, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.34 + 28. Let y = x + -21.66. Let j = y - -22.074. What is j rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = 2*s. Let q = s - -6. Suppose 0*t = -t - j + 10, 40 = 4*t + q*j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14743 by -641.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2\/13, 1, -12, 2\/11 in increasing order.\nAnswer: -46, -12, -2\/13, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213*-0.1.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -4*h, -3*w + 4*w + 11 = 3*h. Let u = -1\/103 + 313\/412. Let k = u + -11\/12. What is the smallest value in k, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275452.\nAnswer: 2, 68863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 9970010449369\nAnswer: -9970010449371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*t + 214*t = 634*t + 20300 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -8. Suppose 0 = 4*l - 224*w + 220*w + 8, -2*l - 13 = -5*w. Let f be (52\/(-12))\/l + 2\/j. What is the nearest to -2\/7 in 0.03, f, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((3 + -2*sqrt(432))*-3 + 1))**2.\nAnswer: -28800*sqrt(3) + 390400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2967.9 - -2969. Let r = 5 - 2. What is the third smallest value in -1\/4, r, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 10*o**2 + 9*o + 9. List the prime factors of c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 23 = 9. Let d = -292 - -293. Solve -b*c + s + d = -2*s, c - 4*s = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*d**2 - a**2*d + 2*a**2 - 33*a - 3*d**2 - 374*d + 815 wrt d.\nAnswer: -6*a**2*d - a**2 - 6*d - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -111, -184, -263, -342, -415, -476, -519?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 2. Let k(d) = -d + 1. Calculate 4*k(o) - z(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 17. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0*h**(-2))\/(h**(-3\/5)*h*h\/(h**6*h)*h))**21 assuming h is positive.\nAnswer: h**(378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (18 - 57) - 75?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 132528.52 to the nearest ten.\nAnswer: 132530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 8*f**2 - f**2 - 6*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 88000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40b (base 14) to base 7\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h - 24. Let f(b) = 8*b - 24. Let k(w) = 6*f(w) - 7*z(w). What is the lowest common multiple of 4 and k(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617397157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (6 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 60. What is the highest common factor of 36 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11.9. Let p = o - -9.1. Let x = -18 + 17. Which is the nearest to p? (a) 0.2 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25344 by 5854.\nAnswer: 12672\/2927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2, 0 = 7*b - 12*b - 5*q. Let w(x) = -x**3 - 3*x**2 - 3*x + 3. Let m be w(b). Suppose 7*z = -4 + 25. Put -2, m, z, -8 in decreasing order.\nAnswer: m, z, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -635 - -1214. What are the prime factors of a?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -108. Let t be ((-27)\/(-21) - (-8)\/(-28))*q. Let y(u) = 2*u**2 + 3*u + 10. What is the remainder when 79 is divided by y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 52078143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 169 = -5*d, -5*w + 2*d + 111 = -297. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -748229, -1496763, -2245297, -2993831?\n\"Answer: -748534*q + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 47689*h - 1097376. Calculate f(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19) + (sqrt(76)*2 - sqrt(76))\/sqrt(4).\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, -1, -16, 112\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 37. Suppose 0 = -l + 5*c + 14, 4*l + c = 9*l - 46. Let r be x(l). Solve 3*q + r = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2847)\/429 - -7)\/((-4)\/242)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 622\/3 + -9347\/45. Find the common denominator of 2\/45 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (91\/(31850\/1200))\/(((-12)\/(-63))\/(-2))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 1.1. Which is the closest to k? (a) 2\/3 (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 - 2*g + 2. Let w(s) = 2*s**3 - 2*s**2 - 2*s + 1. Suppose 0 = -0*o - o + 2. Let v be w(o). Give i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:32 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:58 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-6)\/(0 + 6). Suppose 3*f + 22 + 20 = d*w, 2*w - 22 = 2*f. Calculate the lowest common multiple of w and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609 + -557. What is the remainder when 354 is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 0.4, -5, -677, -13, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7 + (-10)\/(-30*(-19)\/(-114)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1475619231 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g. Let f(r) = r**3 + 7*r**2 + 7*r + 3. Suppose 2*a + 0 = 2. Let l(t) = a*f(t) - 4*w(t). Let h be (9\/3)\/((-3)\/2). What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11748326 (base 9) in base 15?\nAnswer: -78ba66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c9 - -23611?\nAnswer: 23a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9859205 is divided by 81481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -1\/30*o**5 + 0*o**4 + 0 + 0*o**3 + 3*o**2 + 0*o. Let k(w) = -10*w**2. What is k(r(u))?\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6*r + 4*r. Suppose 6 = 3*v, 2*p + r*v = 2*v - 4. Which is smaller: p or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777 = 35*l - 1193 - 760 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 7*c + 2 - 7*c + 3*c**2. Let x be d(-2). Calculate the highest common factor of x and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 + 1417 = -2*b. Let c = 2211 + b. Let r be c\/(-55) - (-2)\/(-5). Which is bigger: -32 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 3.8. Let s be (-3)\/(-48)*2*8\/(-6). Sort s, r, -2\/17 in increasing order.\nAnswer: s, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758291027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(15\/1410). Let a = t + -41. Suppose -3*s + 12 = a. Solve -2*k = -s*i, -k = 2*k + 5*i - 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 701 - -1459. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 5. Let a be k(6). Let u(s) be the third derivative of 11*s**4\/2 - s**3\/3 - 2*s**2 - 116*s. What is the units digit of u(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.799794 - -1.8. Round w to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -24*d - 3168. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*((-14)\/70)\/(8\/(-16)))\/((-3)\/147)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 30 = 13*j - 18*j, -3*j = -t - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5809186 and 474.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9449 + 31 - 11910 = -31*y. Calculate the greatest common factor of 52 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5.75 (b) -0.01815 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (572\/(-55))\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427406.0290049 + -427406. Let x = -2.3 - -2.271. Let v = x + m. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/4756*145*16\/4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - (-3538)\/(-61))\/(99\/(-100) + 1).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 - 5 = 14*s + 33. Calculate the greatest common divisor of 854 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 + 30*x**2 - 239*x + 360. Determine g(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2952\/14 - (10 - 256\/28) is divided by (-7 - -3)*87\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9962096 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + 6\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2 (c) 0.01 (d) -0.3 (e) -3 (f) -0.0634 (g) -40\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from yjyayyaaaayaa?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1010100001011001011010111?\nAnswer: -1010100001011001011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 4. Suppose -o + 7 + 4 = r, 0 = 3*r + 5*o - 39. Let w be 0*(4 + 0)\/r. Put x, w, 9 in ascending order.\nAnswer: w, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a meter in millimeters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 15 = -5*r - 1, 4*y = -4. Suppose 5*u - r*h - 9 = -4*h, 6 = -2*h. Find k, given that 46\/5*k**u + 74\/5*k**2 - 36\/5 - 6\/5*k**4 - 14\/5*k = 0.\nAnswer: -1, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67078 and 0.2.\nAnswer: -13415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/252 and 119\/1452?\nAnswer: 30492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7290*j + 7293*j = -2*l + 18 + 1, 3*j - 33 = -3*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (sqrt(1053) + 0))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 3*z + 5*z)*(-2 - 4 + 2)*(3 - 4 - 1)*(-51 - 80 + 212).\nAnswer: -648*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2027051294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 14*q**2 + 80*q + 648. Calculate the remainder when o(-9) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*i + 22, 0 = -2*o + 3*i - 4*i + 18. Let c be (-1)\/(-2*1\/o). Let g(u) = -u**3 + 6*u**2 + 7*u + 2. Let p be g(7). Solve p*q + 3*q = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 - 30*r**3 - 3085 + 31*r**3.\nAnswer: r**3 - 3604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072 and 792744.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6439680, -12879396, -19319114, -25758834, -32198556?\nAnswer: -38638280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/110)\/(60\/44)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r + 4 = 23*r, g = 5*r + 12. Which is the biggest value? (a) 5 (b) g (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*l*v**2 - 10743*l*v wrt v?\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(3\/45). Suppose 0 = o*y - 5 - 5. Let u(p) = 5*p - 3. Calculate u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 118 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 150*j. Let b(h) = -63831*h**2. Determine v(b(n)).\nAnswer: -9574650*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 111213663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537090135 to the nearest integer?\nAnswer: 23175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35223 by 177.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232433 (base 9) in base 6?\nAnswer: 2554133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142874 is divided by 294.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-35))\/(1\/4). Let d be (4\/(-1))\/((-10)\/1*1). Sort l, 0.1, d in descending order.\nAnswer: d, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.032?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2. Let d(w) = -4*w**2 - 2*w + 2. Let s(m) = -5*m**2 - 3*m + 3. Let h(v) = 3*d(v) - 2*s(v). What is g(h(n))?\nAnswer: 40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-31365090.\nAnswer: -62730180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/13 - 40*a**4\/13 - 316*a**3\/13 - 1232*a**2\/13 - 2370*a\/13 - 1800\/13 = 0.\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -61. Let i = q + 26.9. Are i and -0.006 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 11. What is f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122111001221211 (base 3) in base 7?\nAnswer: -141656542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/54)\/(280\/(-5670)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -188 (b) 0.3 (c) 2 (d) -5 (e) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1821)\/(-564) + 8086\/(-2488).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11110011101010 (base 2) to base 5\nAnswer: -444334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.64722537 rounded to three dps?\nAnswer: -13.647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-6)\/12*-8*2\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - c = -8, -5*c + 2*c + 16 = -k. Let w be (4\/8)\/(k\/(-8)). Suppose -2*m + 4 = 0, 0 = -5*r + 5*m - 2*m + 19. Solve d = r*d - w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*w = 19340, -4*h + 0*h - 3*w = 25785. Let k = -129053\/20 - h. Let x = -314747\/20306 + 2\/10153. What is the common denominator of x and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -4, 20.943?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 6*g + 20. Calculate the smallest common multiple of r(-4) and 6\/3 + 0 - (1 - 23).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2. Let f(d) = 3*d + 1233. Calculate f(k(r)).\nAnswer: 9*r**2 + 1233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11841 divided by -1.\nAnswer: 11841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80779.\nAnswer: 80779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)*a)\/a*a*a**(-19) assuming a is positive.\nAnswer: a**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -174050 to the nearest 1000.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4*1211\/346)\/(-5)*(-1)\/7\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.08 (b) 1 (c) -0.17 (d) 2 (e) -2\/11 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66625543267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2318 divided by -2.\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/6)\/1*(-152)\/(-76)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1088)\/238 + (-17)\/(-3) + 5\/15?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from qqqgqqdqgdeqgdqqdqg.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -31*t**2 + t. Let u be q(1). Suppose 3*p + b = -b - 119, 5*p + 190 = -5*b. Let n = u - p. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*s - 4334 = -134*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 4*m, 0*w + 4*m = -4*w + 20. What is the remainder when 4 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1456?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2852*-44832\nAnswer: 127860864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 - -173. What is the hundreds digit of (-5146)\/(-6) + l\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -5. Let g be (-2)\/(2\/(-3)) - 0. List the prime factors of 16\/g - p\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2012*w + 597. What are the prime factors of g(5)?\nAnswer: 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -226, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003726 to six decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**2. Let q be g(1). Let v = -72 - -74. What is the nearest to v in q, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.931 * -0.09578.\nAnswer: 1.33431118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*c + 110. Let d be c\/(-4)*(-28)\/35. Let v be (44\/(-5))\/(6\/(-150)). Calculate the greatest common divisor of v and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8598 is divided by 1717.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 6756*s - 4*s**2 + 6756*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezzez. What is prob of sequence eze?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o. Let x be 3 + (o - -2)*1. Sort -2, x, -5 in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2044505905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1587 and -37\/12.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -21*l**4\/4 + 3*l**2\/2 - 26*l + 1. Let x(j) = -43*j**3 + 7*j - 53. Let k(z) = -14*c(z) + 6*x(z). Differentiate k(i) wrt i.\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121.\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/((-36)\/(-8))*-31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubu when three letters picked without replacement from bububuuu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4033 + -21?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802120040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = t - 4*m, -3*t - m = -29. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/27)\/(m*m**(5\/2)) assuming m is positive.\nAnswer: m**(-193\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 6 - 1. What is the closest to l in 4\/5, 1.1, 0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3407.55 + -3485. Let d = h - -77. Is 1 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(114)*5)\/(-3*(1*sqrt(12)\/sqrt(2) - sqrt(6) - sqrt(6))).\nAnswer: -50*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 2*j + 8 = 0, -2*j + 8 = 2*p. Suppose p = -o + 2*o + v - 2, -5*v = -4*o + 35. Solve 4*d - o = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 37. Let a(f) = f + 19. Give 5*a(j) - 2*p(j).\nAnswer: j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 191*m + 1283. Let d be f(-7). Sort 3, d, -8, -3, 9 in decreasing order.\nAnswer: 9, 3, -3, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 76*v - 279*v.\nAnswer: -203*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2)\/(sqrt(90) + (sqrt(90) + -2*sqrt(90) - sqrt(90))) - (sqrt(605) + (sqrt(605) + (-3 + sqrt(605)*-2 - sqrt(605)))**2)*2.\nAnswer: -4858 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:36 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 2*m + 3*m + (-5 - 2 - 27*m + 5)*(42 - 36 - 84).\nAnswer: 2108*m + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-5) + (-42)\/8*-2. Which is the biggest value? (a) 6 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**2\/3 + 46566*v + 3495954.\nAnswer: 2*(v + 6909)*(10*v + 759)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*s + 17 = 2*d, 36 = -4*d + 4*s. Let c(w) = -4*w - 3. Let h be c(d). Suppose f + 16 = 2*x + 3*f, 0 = 3*x - 4*f - h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*r = -30, -72 = 80*p - 84*p - 4*r for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2337\/(-10374) + 11\/154.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/14652 and -163\/162540.\nAnswer: 66153780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w - 5*h - 42, 5*w + 2*h = -181. Let d = w + 40. Solve -c = g, 0 = d*c + 22 - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*r - 10, -2*r - 3*r = -5*k + 25. Let v(f) be the second derivative of f**3\/6 - 2*f**2 - f. Calculate v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcsc when four letters picked without replacement from llcscs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 13*i - 5. Let l be x(-12). Factor -3*r**4 + 20*r**2 - 12*r + 12*r**3 - 16*r**2 - 8 + l*r**4.\nAnswer: 4*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.28, 19, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t + 34. Determine x(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-9)*3 + -192. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 9. Let r = -0.66655 - -0.66655. Let y = -1\/14 - 11\/42. Which is the closest to r? (a) -2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*n - 14, 4*c + 25 = -c. Let q(s) = -s**3 - 3. Let m be q(n). Solve 0 = -w + m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((2\/(-100))\/((-58)\/(-435))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3708052381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -144\/13 - 94\/13*v**3 + 452\/13*v**2 + 10\/13*v**5 - 168\/13*v - 56\/13*v**4 = 0. What is v?\nAnswer: -3, -2\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 306*h**3\/7 + 618*h**2\/7 - 310*h\/7.\nAnswer: -2*h*(h - 1)**2*(h + 155)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312103 is divided by 303.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1457427*m**5\/2 - 6743475*m**4\/2 - 26900199*m**3\/2 + 170609415*m**2\/2 - 106421364*m + 38578680 = 0.\nAnswer: -5, 567\/697, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/76 and -9\/1919380.\nAnswer: 1919380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 86.62446mg?\nAnswer: 86624460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5)*5)\/((-2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 - 55*z - 111. Give d(-6).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*f + 6 = -0*f, 4*l - 3*f - 2 = 0. What is the units digit of l\/(2*(-2)\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 1. Let q(w) = w**2 - 6*w + 7. Let r be q(5). Calculate the remainder when 35 is divided by z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1202110121001?\nAnswer: 1202110121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 5*r**2 + r + 3. Let i be d(5). Let l be (i*1)\/2*2. Let q = 27 - l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**5 - 1840*z**4 + 215228*z**3 - 829904*z**2 - 215232*z + 831744 = 0.\nAnswer: -1, 1, 4, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 3, w: 1, m: 3, b: 1, s: 3}. Give prob of sequence mmeb.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119.8 + 120.3. Which is the closest to -1\/3? (a) 117 (b) z (c) 4\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*i**3 + 46 + 2*i**2 - 15 - 33.\nAnswer: -661*i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21872*r**3 - 14696?\nAnswer: -65616*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021101012002100 + 1?\nAnswer: 110021101012002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 792890551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 14891 = -2*j - 7541, 16838 = 3*w + 2*j. Suppose 3510 + w = 10*h. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzzzuzzuzu. What is prob of picking 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323341273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayaxaxx. Give prob of sequence ax.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 1)\/(3\/(-62)). Suppose -66 = -4*n + x + l, -4*x + 64 = 2*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083067 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -3*g**3\/2 + 4*g. Let l(z) = 2*z. Calculate j(l(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 77 and 75 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:54 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddpqq. What is prob of sequence qpd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1530\/7 - 219. Let o be ((-9)\/54)\/((-1)\/(-2)). Put 4, a, o, -0.06 in increasing order.\nAnswer: a, o, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 86 + 118 = 0. Let q = 270 - 466. Let x be q\/g - (-2)\/4. Solve u - 6*u = -x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 1340*c**2 - 48165*c - 49500.\nAnswer: 5*(c - 33)*(c + 1)*(c + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/6)*s**(2\/17))\/(s**(2\/5)\/s*s\/s**(-26\/7)) assuming s is positive.\nAnswer: s**(-17243\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/61156 and 99\/16?\nAnswer: 244624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 500\/((-4)\/(-4 + -420)). What is l rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjybyyj. Give prob of picking 2 j and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 10) + 7 - 2 - (-2 - -17 - -97)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 30, 2, -2, 0, -1.\nAnswer: -2, -1, 0, 2, 30, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 + 15*w + 5. Let x(j) = j + 14*j - 93*j**2 + 209*j**2 - 121*j**2 + 4. Calculate -4*k(i) + 5*x(i).\nAnswer: -i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 778\/15. Sort -6, o, 0.3.\nAnswer: -6, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 15. Let n be b(0). Let h = 1709 - 1674. Calculate the remainder when h is divided by -2 + n\/(-2 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 63*x + 4. Let y be q(0). Put -0.07, -5, y in descending order.\nAnswer: y, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7)\/(y*y**(-2)) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 2 q when four letters picked without replacement from {k: 4, p: 3, q: 5, a: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*k - 8805 = 195 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 2*q + 1. Let n be k(0). Solve -9 - n = -4*b - 5*f, 5*b - 4*f = 33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:25 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6242, -6231, -6212, -6185?\nAnswer: -6150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.7. Let s = 3191 - 3189. Let j = -51 + 51.04. What is the second biggest value in s, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(7*l - 5 + 5).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 30 = -2*q, -3*f = -3*q - 9 - 9. Let t be (-244)\/(-12) - 2\/f. What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(3))**2 - sqrt(36)\/(sqrt(24)\/sqrt(2)) - (sqrt(6)\/(sqrt(4)\/sqrt(2)) + (4 + sqrt(12)\/sqrt(4))**2).\nAnswer: -18*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111101 - 1100?\nAnswer: 100100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -203. Let w(t) be the first derivative of 1\/2*t**2 - 3 - j*t. Give w(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*d = -8, -3*d = -3*t + 8*t - 12. Let f(p) = p**3 - 7*p**2 + 6*p + 2. Let x be f(6). Let k(z) = 2 - 1 - z + x + t*z. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1\/12, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(567) + -1 - sqrt(567)) + -2 + sqrt(567) + (2 + sqrt(567) - sqrt(567))*-5)*3.\nAnswer: -234 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273248885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -28, 0.074, 3, 178?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-14)\/(-14))\/(23\/2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a**3 + 18*a**2 - 5*a - 5. Let g(s) = 14*s**3 + 17*s**2 - 4*s - 4. Let l(i) = 5*g(i) - 4*k(i). What is the third derivative of l(c) wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1324370, -5297495, -11919370, -21189995, -33109370, -47677495?\nAnswer: -64894370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193\/3 + -65. Let p = 47.7 - 48. Let y = 2 + -1. Which is the closest to y? (a) p (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30827 * -0.2.\nAnswer: -6165.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2532176*l - 39 = 5*n - 2532175*l, 0 = -n - l - 7 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48663, -97057, -145451, -193845?\nAnswer: -242239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let k(d) = -7*d**2 - 2. Suppose 6*w - 10*w = h + 14, 2*w - 2 = -2*h. Calculate h*s(y) + k(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26382 + -26381. Are 49.6 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + 134. What is the greatest common factor of 88 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxmffxfzzffzw. What is prob of sequence xmx?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (29 - 59) - 53.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (-14)\/(-4 + -1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1470*n**2 + 12 + 9 + 1456*n**2 wrt n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2538 - 961 - 1061)*(2*b - b - 2*b)*(-1 + 4 - 4) to y*b + k and give y.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(297))\/sqrt(3) - (sqrt(44)\/sqrt(36) + sqrt(33)\/sqrt(3) + -5)**2.\nAnswer: -401\/9 + 58*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) - (sqrt(735) - (sqrt(735) - sqrt(735)*-1))) + sqrt(15))\/(sqrt(36)\/(sqrt(24)\/sqrt(2))).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -13.8. Let j = -12 - r. Sort 1, 4, j in ascending order.\nAnswer: 1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -4228.\nAnswer: -42280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2\/7 (c) 1\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 153. Let k be g(-17). Suppose -a**3 - 1\/2*a + k + 1\/4*a**4 + 5\/4*a**2 = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -46. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {g: 5, s: 3, t: 1, b: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/10 + 4*t**3\/5 - 9*t**2\/5 + 56. Solve p(l) = 0 for l.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:18 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 17. Suppose -s = 2*s - y*x - 21, 12 = 3*x. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (3 + (sqrt(200) - (sqrt(200) - (-3 + sqrt(200)))) - (sqrt(200) + 3*sqrt(200) + 1)).\nAnswer: -30*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1061*r**4 - 54*r**3 + 1038*r - 6. Let n(x) = 9*x**3 + 1. Let v(p) = -h(p) - 6*n(p). Find the second derivative of v(b) wrt b.\nAnswer: 12732*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -27. Find the second derivative of -k - 12*a**3 + 12*a - 16*a + 1 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.041589ns in hours?\nAnswer: 0.0000000000200115525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577774 (base 8) to base 12.\nAnswer: -95938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lugukkn. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24703.07mm in nanometers?\nAnswer: 24703070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 50 = -4*k, -f + 4*k + 23 + 11 = 0. What is the tens digit of ((-21)\/f)\/(-2 - (-129)\/66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1526 - 1521. Let i = -22 + 35. Let t = i + 3. What is the second smallest value in 0.4, -0.1, t, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-38)\/(-18))\/((-5)\/(-45)). Solve 3*a - 2*f + l = 0, 16*a - 2*f = 15*a - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -2*m - 0*m + 5*h, 5*h - 190 = -2*m. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1182.6 + 65.6. Let o = 1116.999996668 + k. What is o rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 3023?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 8 = 0, -4*l = -2*y - 48. Let t be ((-18)\/l)\/(32\/40). Which is the third smallest value? (a) 4 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/12540 and 17\/120.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {p: 1, m: 2, o: 4, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 69698316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 649, 2204, 5223, 10192, 17597?\nAnswer: 27924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5689731 * 0.5\nAnswer: 2844865.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.2 - -14.8. Let l = j - 15.8. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = 22. Let j be (-1 - b\/5) + (-2)\/(-10). Let q(c) = -c**2 - 6*c - 3. Let n be q(-5). What is the nearest to j in n, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1875 divided by -1\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -1.5. Let d be (3 + -2)\/(4\/20). What is the second smallest value in j, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 83 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upmunmwn. Give prob of picking 1 p and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/79)\/j))\/j**(-1\/11) assuming j is positive.\nAnswer: j**(1839\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -486, -1084, -1932, -3036?\n\"Answer: -c**3 - 116*c**2 + c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.28, -2\/7 in decreasing order.\nAnswer: 2\/9, -0.28, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -898 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 1, l: 1, i: 7, f: 1, o: 2, m: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 9, 3\/10, -11.\nAnswer: -43, -11, 3\/10, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/14 + (934\/(-4))\/(-1). Determine w so that 235*w**2 + 3*w**4 - 4*w**4 - m*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 13446*v**2 - 3150369*v - 12816420.\nAnswer: 3*(v - 227)*(v + 4)*(v + 4705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Suppose 0 = 17*x - 1944 + 2012. Let v(s) be the first derivative of -3*s**2\/2 - 5*s + 8. What is x*v(m) - 11*t(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 82*c**2 + 16*c + 65. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 a factor of 21623512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = p - 75, -77 = -p + 2*w - 5*w. What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*v + 77 = -5*x + 386*v, 0 = -5*x + 7*v + 213 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(27)\/sqrt(3))*-1 - 6*2*sqrt(175).\nAnswer: -61*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000077 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csc when three letters picked without replacement from {s: 5, c: 7, u: 1}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -59.5. Let f = -10827 + 10827. Which is the third biggest value? (a) g (b) -20.8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by 5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19013377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.66 and 1562?\nAnswer: -47890.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 110, 1561, 4330, 8417?\n\"Answer: 659*t**2 - 526*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1716 and 411352656.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35367551, 70735109, 106102667?\n\"Answer: 35367558*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o**3 + 0*o**2)*(o - 5*o + 3*o) - 3*o**3 - 205 + 11*o**3 - o + 2*o**4 + 206.\nAnswer: 3*o**4 + 8*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3011738 by 4.\nAnswer: -1505869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/140*4\/(-6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*2*sqrt(864))\/(-1*2*sqrt(768)*5).\nAnswer: 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 9. Let w be c(-7). Let x(r) = r**3 - 2*r**2 + r - 3. Let l be x(3). Let b = w + l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 36*c = 1890. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 9*q = -75. What is the remainder when 28 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*z**3 - 118*h**3*z + 2*h*z - 17*z**3 wrt z.\nAnswer: 18*h**3*z - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/15 and 40\/2*10\/(-90).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3925112149 and -0.2.\nAnswer: 3925112148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - -3) - (7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - c = -6*h - 11, -205*h - 16 = -204*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 4*m**2 - 5*m - 4. Let i be 50\/(-18) - (-18)\/(-81). Let g be u(i). Let b be ((-6)\/9 - -1)\/((-15)\/(-135)). Sort -5, g, 6, b.\nAnswer: -5, g, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.2 - 544.478\nAnswer: -525.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a58 - -9836?\nAnswer: a793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o**3 + 168*o - 168*o)*(-35 - 38 + 83).\nAnswer: -10*o**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b + 4. Let f be t(3). Let h = f - -247. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 101 + 91 - 25*i**2.\nAnswer: -31*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112310.1 + 3.\nAnswer: -112307.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/2077 (b) 4 (c) -201 (d) 0.1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*g - 1. Sort -1, g, 2.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129958, 259916, 389874, 519832, 649790?\n\"Answer: 129958*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7428, -14882, -22364, -29874, -37412, -44978, -52572?\n\"Answer: -14*x**2 - 7412*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 2*a = -106, 52*a - 6 = l + 15*a + 35*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 - 19403086*i\/11 - 19403084\/11.\nAnswer: -2*(i + 1)*(i + 9701542)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) -2 (c) 8 (d) -127399 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4324638 is divided by 473?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 926.1, 2\/3 in decreasing order.\nAnswer: 926.1, 5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68334856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -9132\/11, -448.\nAnswer: -9132\/11, -448, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -134. What is the highest common factor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1061413886 to 5 dps.\nAnswer: -0.10614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*q + 0 + 0 + 58*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*o - 26, -4*o + 5*o + 3*k = 27. Suppose 5 - o = 5*d. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/308568 and -3\/19006.\nAnswer: 5245656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.14, 0.05, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/23)*n\/n**(3\/10)*(n**(-4\/5)\/n)\/n*n**(3\/7)\/n assuming n is positive.\nAnswer: n**(-4441\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2626*x + 5344*x + 4346 = 2636*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 165, -258 in decreasing order.\nAnswer: 165, 2, -4, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4482 and 16578.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*z - 44 = 0, -k - z - 50 = -14. Suppose 4*v + 135 + 32 = -5*d, 0 = 4*v + d + 155. Is k at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -596 + 590.97. Let z = 0.03 + t. Let l be (-1)\/3*9\/(-12). Which is the closest to -0.2? (a) l (b) z (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*f**3*g + 2*f**3 + 13131*f**2 - 2*f*g + 4*f + 332048*g - 13 with respect to g.\nAnswer: 10*f**3 - 2*f + 332048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -26921 in descending order.\nAnswer: 3, 0, -26921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 94?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 962766 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrny when four letters picked without replacement from {n: 2, m: 1, y: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-40)*(-2)\/(-6))\/(27\/((-1782)\/(-15))).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5174*u - 181081. What is x(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/55890 and 1\/486.\nAnswer: 55890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 49. Let n be j(-17). Let u = n + -32. Suppose 2*m + u*m = 2. What is the highest common factor of 16 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhjmmmhmmhhhhmmmm. Give prob of sequence jh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = -28*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 - 4 = -2*f, 0 = -3*f + q. Let m = 168 + -3361\/20. Is m greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x**2 - 10*x. Let g(r) = -82*r. Determine z(g(s)).\nAnswer: -107584*s**2 + 820*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 5) in base 4?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 38*u**4 + 12*u**3 - 3*u**2 - 59. Let m(f) = 35*f**4 + 11*f**3 - 2*f**2 - 60. Let r(v) = 5*k(v) - 6*m(v). Find the third derivative of r(c) wrt c.\nAnswer: -480*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36248, -145119, -326776, -581387, -909120, -1310143?\n\"Answer: -28*b**3 - 36225*b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 3. Suppose 0 = -3*q + 5*o - 1, o - 7 + 8 = q. Let i(l) = l**2 - l - 4. Determine q*f(c) - 2*i(c).\nAnswer: 4*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1671*i**2 + 1613*i**2 - 30*i**3 - 3284*i**2.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 62599787 to the nearest ten thousand.\nAnswer: 62600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3120)\/60 - -4*5\/4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -181, -396, -683, -1036, -1449, -1916?\nAnswer: -2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508.51 - 472242.\nAnswer: -471733.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1079407 divided by 555\nAnswer: 1079407\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/(-1)*(-1)\/(-3)*11. Suppose -3*t = -4*f + x, -4*f + 2*f + 162 = -5*t. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - (-3 + 12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 34. Suppose 14 = -2*t, 0 = q + 2000*t - 2003*t - 60. Calculate the remainder when q is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:44 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57718750?\nAnswer: 2, 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 63 + 297)*(-40*z**2 - 149 + 149).\nAnswer: -10720*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - -2*sqrt(275))\/sqrt(5))\/(sqrt(11)*-3*-4 - sqrt(11)))**2*6.\nAnswer: 270\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/7 + 36453*b\/7 + 182190\/7.\nAnswer: 3*(b + 5)*(b + 12146)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411775693 and 184.\nAnswer: 3294205544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - (-3 - -9) - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 + 3*q + 2. Let b(w) = 2*w - 1. Suppose 2*i - 5*d = 5*i - 1, -i + 1 = d. Suppose -i*o - 4 = -2. Let m be b(o). What is l(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j + 1848. Let b = j + 322. Let x = b + 450. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 4. Let w be x(4). Let i = 6 + -7. List the prime factors of (i\/(-1))\/(2\/w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + -5 - 6\/2. Suppose 5*w + 236 = 4*c, -j*w + 120 = 2*c - 5*w. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254*v - 1246*v - 17680 = 0. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r\/r**19)\/r)*(r**(1\/8)\/r)\/r*r assuming r is positive.\nAnswer: r**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 + 39952*p**3 + 192*p**2 - 1917184*p - 5113856 = 0.\nAnswer: -4, 8, 9988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 78, 92, 112?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 10. Let g be l(-5). Let b(c) = g + 3*c + 2*c - 6*c. Let a(p) = -1. Calculate -5*a(z) - b(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 18*t**2 + t - 15. Let v be u(18). Suppose -3*a = -2*a + v*a. Let b be (-4)\/(7\/((-42)\/(-4))). Sort -3, a, 3, b.\nAnswer: b, -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffnfnn. Give prob of picking 3 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6400068 and 12?\nAnswer: 6400068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 s when three letters picked without replacement from japjsfpasoosoj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1610 and -2158.9.\nAnswer: 3475829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -50. Suppose -5 = q*d - 9*d. Suppose 5*m - 51 = -x - 3*x, 0 = 4*x - d*m - 61. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*w + 564, -2*w = v + 2*v + 424. Let a be (-4)\/(-6) - v\/6. Suppose 5*l - 16 = a. Solve -l = -0*p + 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/3, -56194, 0.5 in decreasing order.\nAnswer: 7, 2\/3, 0.5, -56194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 12*h**2 - 10*h + 10. Let l be b(-11). Let a(m) be the third derivative of -43*m**4\/24 + 30*m**2. What is the units digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 110874859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 + 14640*s**2 + 17846151*s - 35750886 = 0.\nAnswer: -2441, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 21 = -l, 4*l + 148790*m - 148795*m + 42 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u**(1\/8)*u))\/u*u**(1\/8)*((u**(2\/39)\/u*u)\/u)\/u*u**12 assuming u is positive.\nAnswer: u**(392\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 517\/5. Let s be 64\/24*(1 + (-39)\/12). Let b be (8\/26)\/(s - -4). What is the third biggest value in b, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168554 - 11619*s - 168554 - 52181*s.\nAnswer: -63800*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233.6 + 210. Let t = -23 - i. Which is the closest to -1? (a) 3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3092632690 to the nearest integer?\nAnswer: 55611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*(2\/(-20))\/((-3)\/(-9)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/2 - (-2)\/2. Let i(f) = f**2 - 5*f - 3. Let w be i(g). Suppose -w*b - 4 = -13. Solve -z + 4 = 4*a, 16 = a + z + b*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 12*z**2 - 1. Let k be (-4)\/10 - (-240)\/(-25). Let f be 15*-4*2\/k. Let s be i(f). Which is the closest to -2\/7? (a) 0.4 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -338*k - 7012*k - 7364*k - 1393*k to h + s*k and give s.\nAnswer: -16107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/28 + -317*9\/(-6). Calculate the greatest common factor of b and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y - 2*y - 2*y + (-2*y - 3 + 3)*(1 - 1 + 2))*(3*y - 3*y - 4*y).\nAnswer: 88*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7500089156.\nAnswer: 2, 7, 29, 1319509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*o = -o - 46, -4*o = 5*y - 80. What is the remainder when ((-36)\/14)\/(y\/(-56)) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/9, 18 in decreasing order.\nAnswer: 18, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*a)*(-3 - 3 + 3) + 2*a - 3 + 3 - a + 3 - 3 + (1 - 3 + 1)*(0*a - 3*a + a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Suppose 0 = -7*s - 2 + 16. Suppose 0*l + 4*l = -s*o + 40, 0 = -2*o + 4. What is the units digit of c(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2661*c**2\/2 + 5*c - 2. Let i be q(-5). What is i rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from {v: 7, b: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 13*r**2 + r**2)*(23*r**3 + r**2 - 2*r**3 + 64*r**3).\nAnswer: 1275*r**5 + 15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -157. Let g(v) = 4*v**2 + 1. Let d be g(-3). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 98 + 46. Suppose -4*k + l = 6. Suppose 0 = 2*p, -p - 2*p - 246 = -k*v. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -557*-0.3\nAnswer: 167.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4467 + 447?\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5753 + 5763. Suppose 3*a = 7*a - 48. What is the least common multiple of a and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 45235*p - 226300.\nAnswer: 5*(p - 9052)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -66776402.1173.\nAnswer: -66776402.5173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/234 and 103\/522.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/154*4\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13e7 (base 15) in base 14?\nAnswer: 17ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -13, 3, 1.\nAnswer: -13, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57158607 and 2.\nAnswer: 114317214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 439411246 to the power of 1\/2, to the nearest integer?\nAnswer: 20962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691864056?\nAnswer: 2, 211483007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 6)*(3 - 2*o - 3)*(-2*o**4 + 2 - 2) - 4*o**5 - 2*o**5 + 5*o**5 + (-2 - 5 + 5)*(-3*o**4 + 3*o**4 - o**5).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4\/7))\/r*r*r\/r**(1\/4)*r)\/(r**(-16\/7)\/r*(r*r\/r**(-1\/66))\/r) assuming r is positive.\nAnswer: r**(5167\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 917951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.32 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*y + 13, -2*x - 3*y - 43 = -6*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:46 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let z(p) = -2*p - 2. Let k = -40 + 28. Let l(d) = k*w(d) - 5*z(d). Find the first derivative of l(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 4 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41382446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/31))\/(u*u**11*u*u)*u**5*((u\/(u**(-8)*u)*u)\/u)\/u assuming u is positive.\nAnswer: u**(-29\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 m, and 1 n when four letters picked without replacement from nznexnrermzn?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**5 - 66*u**4 - 120*u**3 - 78*u**2 - 15*u = 0. Calculate u.\nAnswer: -5, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 9 + (1 - 11) - -4 - 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = -20*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/6)\/(1\/3). Let j(b) = b**2 + 2*b - 2. Let u(f) = -2*f + 80. Let a(i) = -i**2 - 39. Let q(v) = 2*a(v) + u(v). Determine w*j(g) - 3*q(g).\nAnswer: 2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*v**2 + 256*v + 2 + 5*v**2.\nAnswer: 3*v**2 + 256*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 412269841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211197 or 211204?\nAnswer: 211197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, -1, 2\/33, 67, 5 in descending order.\nAnswer: 67, 5, 2\/33, -0.23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1045 * -5504.73.\nAnswer: 575.244285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 45*o + 8. Let w(k) = k**2 - 15*k + 3. Calculate 4*c(d) - 11*w(d).\nAnswer: d**2 - 15*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 + 5*r**4\/3 - r**3\/6 - 5*r**2 + 36*r. Let q be s(-20). Calculate the highest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-100)*5\/2. What is the closest to x in -1, 0.3, 6\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.1 + 15.09999851. Round h to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 2*a. Let y = -4 + 9. Let w(d) = 9*d**2 - 4*d. Let t(k) = y*x(k) + 2*w(k). Find the second derivative of t(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(358 - 176 - 182 - 507*z).\nAnswer: 2535*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -459. What are the prime factors of w?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.47 + -0.87. What is the closest to 0 in -3\/2, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -151 + -68823?\nAnswer: -68974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 + -1 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 + 13 - 122) + -16 + (14 - -5)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 - 78*q**3 + 78*q**3)*(-4*q - 3*q - 2*q + (-5*q + 2*q + q)*(3 - 2 + 2)).\nAnswer: 60*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-15)*(-40)\/(-6). Let t(h) = -2*h + 2. Let z(o) = -5*o + 5. Suppose 16 + 2 = 2*x. Suppose 4*b - x = 3. Calculate b*z(r) + w*t(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 8. What is the third derivative of -k**2 + 4*k**2 - k**2 - 3*k**z - 4*k**5 wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250803 and 945.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14107.42 + 13983. Let x = -78.8 - f. Let t = x + -45. What is t rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -0.04801\nAnswer: -0.35199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 - 2*w**2 - w. Let l be r(-1). Suppose l + 5 = -5*d. Which is the closest to -0.1? (a) -1\/3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 12*b**3 - 49*b**2 + 0*b**3 - 5*b**3 - 5*b**3.\nAnswer: -4*b**3 - 49*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 - 146. Let t = 3 - 0. Factor 7*d**5 + 9*d**4 + 7*d**3 + 15*d**t + 13*d**3 - q*d**3.\nAnswer: d**3*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*f + 26 = 0, 4*g - 4*f = 34 - 2. Suppose a - 32 = -g*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and -77\/18354460?\nAnswer: 18354460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 2 - (-3 - (10 + -20 + 14)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0 = 4*a - 44, -2*a + 36 = 5*n. Suppose 4 = -a*y + 82. Solve -y*q + q + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 1\/4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggvvvvgggv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*b + 16 = 7*k, b + 18 = 5*k. Differentiate 11 + 10 + 4*y**k + 0 - 15 wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -3*u + 4*t - t, u + 3*t = -18. Let y = 3411\/1562 - -16\/71. Find the common denominator of y and 13\/u - (-5 - (-12 + 3)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51\/113383 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k - 6. Let z be 2\/1*26\/(-4) + 3. What is the remainder when b(z) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*s + 5*s = -2640, 2*p + 4*s + 1750 = 0. Let c = p + 1658. What are the prime factors of c?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h**2 - 2 + 2. Let w(l) = -7*l - 6. Let d(n) = 9*n + 8. Let i(s) = 3*d(s) + 4*w(s). Calculate i(q(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067913 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 6360?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2594697593.709 from -0.1.\nAnswer: -2594697593.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 53. Calculate the remainder when 41 is divided by t - (-2)\/(2\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*y + 36, 3*y = g - 10 + 80. Suppose 13 = 7*o - y. Let -k**o - k**3 + 2\/3*k + 7\/3*k**4 + 0 - k**2 = 0. What is k?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1470\/(-1715)*9\/((-189)\/196)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - 2. Let u(i) = 56471*i - 56471*i - 2*i**2 + 2. Determine -2*l(b) - 3*u(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48741, 48740, 48739, 48738?\n\"Answer: -u + 48742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = i - 19, -10 = -5*i. Let d(n) = -n**3 - 21*n**2 + 73*n + 36. Let z be d(-24). Suppose -z = -r*t + t. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-40)\/(-42))\/((-54)\/63) and 19\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g - 5*g + 6*g. Let c(r) be the third derivative of r**4\/6 - 4*r**2. Determine x(c(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1)*q)**(1\/28))**11*q\/((q\/(q*q**(1\/2)*q))\/q*q)*q**(-5\/2)*q*q\/q**(3\/10)*q**(-4\/7)*q assuming q is positive.\nAnswer: q**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13552492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:21 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.98 + 0.02. Let v(q) = q**3 - 15*q**2 - 16*q. Let z be v(16). Which is the closest to -0.2? (a) z (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6811326 equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*x - 10, 38*x - 47*x + 41 = 4*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153728345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - -36.3. Let z = k - 39.999966. Round z to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 3. Determine p(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 72, 69, 66, 63, 60?\n\"Answer: -3*q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/6 - (-3)\/9. Let s = -21 + 27. Suppose j + s = 16. Calculate the highest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b = -113835 + 113681. Let o(t) = -t**3 - t**2 + t - 2. Let w be o(-3). Solve 22 = b*c - w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (-70 - -8) + -37?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152833421*l**4 - 240*l**2 - l - 1315 wrt l?\nAnswer: -3668002104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5637\/250 + -6\/125. Calculate the common denominator of b and -95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*6.1.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -8*p**3\/7 + 74*p**2\/7 - 20*p - 150\/7 = 0.\nAnswer: -3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36519225 and 7350.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22312?\nAnswer: 2, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 674 - 618 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2448)\/6426*14\/(-8). Which is the fifth biggest value? (a) -2\/31 (b) -2 (c) o (d) 5 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1729 and -25\/1009242?\nAnswer: 7064694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + -5 + (sqrt(832) - (sqrt(832) - -1*sqrt(832)))*-1 + sqrt(832) + 1.\nAnswer: -4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -145. Let a(y) = -y**2 - 7*y. Let q(h) = -h**2 - 6*h. What is c*a(r) - 5*q(r)?\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318734 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 98 = 14*k. Suppose -k*u + 7409 + 183 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72794?\nAnswer: 2, 17, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2 - 18. Suppose 4 = -2*j, -6*q + 2*j = -q - 19. Suppose -100 = q*a - o*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -48*w - 1249. Let c(v) = 9*v + 250. Give 11*c(d) + 2*p(d).\nAnswer: 3*d + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5721897393484\nAnswer: 5721897393484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 - p + 3. Let j be n(-3). Let u = 17.9 - 17. Let z = 0.6 - u. Which is the nearest to -2\/3? (a) 4 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u)\/u*u**(-1)*(u**(2\/3)\/u)**50*(u*u**(-2\/5))**42\/((u**(-1\/3)*u)\/u)**(-3\/4) assuming u is positive.\nAnswer: u**(211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324436*o**3 - 56*o + 308553690.\nAnswer: -973308*o**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 74 = -l - 5*x, -127 = 5*l + 2*x. Let f = -24 - l. Solve -p = f*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7249 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 472\/(-80) - (102\/20 + 3). Let s(t) = t**2 + 21*t + 108. Give s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(1*(2 - 1)). Let m = 10 + -10. What are the prime factors of m - 3\/(n\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -533 + 539. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - x = 0, -3*d + 5*x = -0*x + 10. Solve -4*c + d = 4*i - 7, -4*c + 5*i = -30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 4*k = -345531, 4*r = 5*k - 8*k + 106319. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*8.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/4 - 141*q**2\/4 + 516*q - 2000 = 0. What is q?\nAnswer: 8, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.346327 nanoseconds in minutes?\nAnswer: 0.00000000043910545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 144 = 6*z. Let s be (-7 - (-47)\/6)*z. Solve 4*l - 11 = -a, -14 = -s*l + l - 2*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.140328g to nanograms.\nAnswer: 5140328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let w(x) = -x - 2. Let m(g) = 3*g - 31. Let h(r) = -m(r) - 4*w(r). What is the tens digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-10 + 35 + -15 + 20)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htnlnnt. Give prob of sequence ln.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26574 is divided by 3866.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110011111110101 (base 2) to base 3\nAnswer: -1100111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-6)\/8). Let u be -4 - (-17 + o\/2). Solve 0*z - t - 3 = z, 2*z + 5*t = -u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 24 = 2*a - 7*a, -3*a = -3*z + 6. Suppose 616 - 649 = -11*t. Sort 5, 0, a, t.\nAnswer: a, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**(-6))\/(i\/i**0)**(1\/67) assuming i is positive.\nAnswer: i**(-202\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c**2 - 2*c + 39. Let n(y) = -y + 1. Let b(v) = -d(v) + 2*n(v). Differentiate b(s) with respect to s.\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 290\/348 + (1 - 6\/3). Which is the second smallest value? (a) 0.2 (b) -0.01 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 32*p**6\/15 + 79*p**5\/20 + 5*p**2 + 35*p. Find the third derivative of x(d) wrt d.\nAnswer: 1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133193 (base 12) to base 16\nAnswer: 4d43f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 759921385 to the power of 1\/2, to the nearest integer?\nAnswer: 27567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -147. Let q(y) = 8*y - 30. Let f be q(g). Solve 8*s + f*s + 16*s**3 - 44*s**2 + 4*s**4 + 6*s = 0 for s.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1260 + -1257. What is the biggest value in 0.2, c, -0.1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-23*l**2 + 10*l**2 - 25*l**2).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**4 - 48*k**3 - 3152 - 21*k**3 - 19*k + 62*k**3 wrt k?\nAnswer: 12*k**3 - 21*k**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -441, -470, -485, -480, -449, -386, -285?\n\"Answer: r**3 + r**2 - 39*r - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -215 - 16. Solve 2*m = 15 - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5010 is divided by 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 4*n - 84, n = 5*m - 117. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 249*g**2 - 2058*g - 532. Determine a(-257).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9661666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 5. Let q(x) be the first derivative of 1 - 3*x + 0*x**2 - 2\/3*x**3. Let n = 8 - 13. Calculate n*q(u) + 3*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 1. Let k = -82 + 412\/5. Let q = 1.076 - 3.076. Which is the closest to t? (a) q (b) -1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:41 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -54. Let g(h) = 0 - m - 2 - 13*h + 3. What is the least common multiple of g(-1) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 7. Give j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 0 - (35\/5)\/(6\/(-840))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 69. Suppose 4*j = -g - 1. Let r = 0 - j. Solve 5*q = -3*t + 5 + r, -q - 2 = 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3222996 and 32.\nAnswer: 25783968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -23242*k + 766966. Calculate n(33).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i**3 + 3*i**2 - 3*i + 3. Let k(m) = 300*m**3 + 35*m**2 - 35*m + 35. Let w be 40\/(-14) + (-10)\/(-490)*-7. Calculate w*k(f) + 35*p(f).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2915 rounded to two decimal places?\nAnswer: 9.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 - 215. Let f(x) = 6*x**3 - x - 6. Does 34 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d\/(d**(-3)\/d))\/(d*d**(-3)*d*d**(-5\/2)\/d)*d**(-4\/3)*d*d**(-5)*d**0\/(d\/d**(6\/5)) assuming d is positive.\nAnswer: d**(341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -497.52219 and 42736?\nAnswer: 43233.52219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**3*k**2 + 95*d**3*k - 5117*d**3 - 3*d**2*k + 15*d**2 - 38249*d*k - k**2 wrt d.\nAnswer: 72*k**2 + 570*k - 30702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:44 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 - -175. Solve -3*x - 4 = i, 3*x - 2*i = -2*x - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y + 2*a - 2, 3*a = 3. Determine d so that -2*d**2 + y*d**2 + 2 - 2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/14 - 4*j**6\/5 - 3*j**5\/4 + 7*j**4\/2 - 6*j + 5. Find r such that h(r) = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.4 - -0.4. Let f = -1591 + 1590. Which is the closest to 0? (a) 3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = p + 2*h, h + 13 = -2*p. Let u = 7 + p. Suppose u*b - 5*b + 16200 = 0. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-40)*l)\/l*l**49*l*l)**(1\/4) assuming l is positive.\nAnswer: l**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(475) + -1)**2.\nAnswer: -1964 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = c + x, 5*c = -0*x + x + 658. Let q = c + -82. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -207. Let m = x + 46. What is the greatest common divisor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 6 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*f - 63*f - 1 + 2 as y + t*f and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d - d)*(0*d - d + 2*d) + (-2*d - 2*d + 2*d)*(d + d - 3*d) + 1 + 2*d**2 - 1 + (-98*d**2 + 19*d**2 - 70*d**2)*(0 + 1 - 2).\nAnswer: 151*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 7) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274297, 0, -44 in decreasing order.\nAnswer: 274297, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3)\/(-6)*0. Let m be 3 + -1 - (2 - 2)\/1. Solve -7*r + m*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 44.1. Let n = d - -0.1. Which is the smallest value? (a) 4 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-258)\/172)\/(2\/(-3156)). What is o rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469 less than -9797?\nAnswer: -13266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - -211. Let o = j + -273.11. Let h = o - -0.11. Is h at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 2040270359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/1 + -3 + 2. Let x(a) = 13*a + 1. Let l be x(m). Suppose -3*f - 4*v - 12 = -5*f, -3*v = 2*f - l. Calculate the remainder when 26 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3\/1084, -0.044, 5 in decreasing order.\nAnswer: 5, -3\/1084, -0.044, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**6\/80 - m**5\/15 + 7*m**4\/48 - m**3\/6 - 3*m**2 - 4*m. Let k(z) be the first derivative of x(z). Find j such that k(j) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -6)*(-312)\/10. Suppose -53 = 3*l - 2*p - v, -l - 3*p = -16. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16197627 + -16197627.7000009. Let u = 0.7 + s. Round u to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 4*d + 328*d**3 - 2*d - 372*d**3.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1, -24, -13, 25?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 36 = 4*h + 14, -7*f + 5*h = -18*f + 6*f - 75 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110110001000010 (base 2) to base 11\nAnswer: -19905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6*b + 3*b)*(4 + 4 - 1)*(-2*b**2 - 5*b**2 + 5*b**2) - 2*b**3 - b**3 + 5*b**3 + (-b**2 + 3*b**2 + 0*b**2)*(-2 + b + 2).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 94375\/(-2 - 315\/(-160)). Round h to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 301020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 + 1. Let v be i(-1). Let x(c) be the first derivative of -c**3\/3 - c + 2. Let n(j) = 2*j**2 + 3. Let o(p) = v*x(p) - 2*n(p). Determine o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 575.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67533990 a multiple of 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 6. Suppose -24 = 3*g - 0. Let s be n(g). Suppose -s*i + 23 = -5. What is the lowest common multiple of i and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1620, 1\/4, -1\/7 in increasing order.\nAnswer: -1620, -1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -41. Solve -m + s*h = 3, 3*m - h = -m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -15. Calculate the common denominator of (l\/4)\/(6\/(-20)) + 1 and -23\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127 - 174624\/1360) + ((-2)\/95 - -1).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4704 - -0.4704. Let m = 2 - 2.2. Let w = 0.2 + m. Which is the third biggest value? (a) d (b) 10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 1938, 2917, 3910, 4917, 5938?\nAnswer: 6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 8*o + 1. Let j be w(-6). Let r = -257 + 244. Let n = j - r. Solve -p + 1 = -n*p - 2*l, 0 = -4*p + l + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25338.\nAnswer: 2, 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*p - 10102 = -152*p + 83*p + 8926 for p.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5)*-15*(-1)\/(-3). Let y(z) be the third derivative of 0*z - 1\/30*z**5 + 1\/3*z**3 + 1\/60*z**n + 2*z**2 - 1\/12*z**4 + 0. Solve y(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, i: 2}. Give prob of sequence iyiy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 3\/3 - 2. Suppose v = -m + 128 + 120. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + -169. Let w = -32 + -35. Let o = w + p. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18475.7471 rounded to the nearest 100?\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (200\/(-35) - 4\/14)\/1. Suppose -4*s = -5*s - 12. Is ((-12762)\/s)\/(i\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -51347?\nAnswer: -51347","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round -126.4727 to one dp.\nAnswer: -126.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (15 - 9) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 55466*t\/7 + 7924.\nAnswer: -2*(t - 27734)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a - 2. Let d(l) = -l. Let g(s) = 4*d(s) + z(s). Let c = -6 - -3. Let h(v) = -6*v + 5. Determine c*h(i) - 8*g(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10206*t**5\/11 - 45252*t**4\/11 + 18200*t**3\/11 - 1968*t**2\/11 + 64*t\/11 = 0. What is t?\nAnswer: 0, 2\/27, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h + 96*h + 24*h in the form x*h + g and give x.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1170576, 1170580, 1170582, 1170582, 1170580?\n\"Answer: -g**2 + 7*g + 1170570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1648.6 - 1649.6. Which is the closest to 0.1? (a) u (b) 1 (c) -3.94 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000084317 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193769?\nAnswer: 37, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*s + 26 - 2 = 0, 0 = -j - s + 15. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 7*w**6\/30 - 16*w**5\/5 + 503*w**2\/2 - 1720*w. Differentiate i(p) wrt p.\nAnswer: 28*p**3 - 192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 17. Sort 0.5, m, 3 in ascending order.\nAnswer: m, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1981398 (base 10) in base 5?\nAnswer: -1001401043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1314501, 1314505, 1314505, 1314501?\n\"Answer: -2*v**2 + 10*v + 1314493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 + 2*n + 1. Let w(l) = -l**3 - 2*l**2 - 2*l + 1. Let i be w(-2). Let o = i - -13. Let b be 4\/o - 112\/(-63). What is c(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290755.98 rounded to the nearest one thousand?\nAnswer: 291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12110034 to the nearest integer?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2658*i*x**4 - 465*i*x**2 + 1754*i*x - 32*i + 7*x**4 - 173*x**3 wrt x.\nAnswer: -63792*i*x + 168*x - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 4)*(-47 + 97*d**2 + 47) - 19*d - 9*d**2 + 2*d**2 + 9*d**2 to m + y*d + x*d**2 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3363 and 21.\nAnswer: 23541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (1 - -1))\/(-1). Let q = 13 - 10. Suppose -q*v - 3*v - 24 = 0. Sort 3, v, a in decreasing order.\nAnswer: 3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121\/4, 0, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34843 or 34854?\nAnswer: 34843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -11. Let m = -9 - t. Let b = -30 - -26. What is the nearest to m in b, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3203515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197827136 by 1902184.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6994 - 18*f**2 - 371*f**2 + 6987 to v*f**2 + b + h*f and give v.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 + 8*f - 8. Let y be k(-7). Let u be (-2)\/8 + y\/8. Solve 4 = u*x + 2*j, 5*j + 18 = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.8 - -45. Let x = -13.4 - q. Let k = -11 - x. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 0*q - 2 + 1 + 2. Is 16 a factor of u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1 + 4)) + -8 - -36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*s**3 - 31*s**2 + 31*s**2.\nAnswer: -253*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*m**3 - 7*m**2*n**2 + 2*m*n - 27*m + 5*n**2 wrt m?\nAnswer: 108*m - 14*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 714.22449 * 4.\nAnswer: 2856.89796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**2 + 18*n**3 - 9*n**3 + 0 - 7*n**3 + 6. Let p(j) = 3*j**3 + 38*j**2 + 11. Let b(o) = 11*l(o) - 6*p(o). Let b(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 936129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Let n be 4\/(-14) + (-60)\/(-14). Suppose -j*k = n*r - 2*k - 60, -r = -3*k - 8. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.16 + -2.094. What is the second biggest value in 1.8, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -1335, -2005, -2675?\nAnswer: -3345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, i: 1, f: 1, v: 1, k: 1}. What is prob of sequence iv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 39 = 3*o - 4*y, 5*y - 1 = -3*o. Let d = o + 7. Let m be d - (-2 - -2) - 499999. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a micrometer in nanometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 95.\nAnswer: -4\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4263141 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3120 - 1540. Suppose 3*f - 3*g - 1585 = -2*f, 5*f = 2*g + o. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (1 - (1 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.031 + 21.969. Let j = m + -24. Let k = -1.7 - j. What is the third biggest value in 1\/2, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(4\/9))**23 assuming q is positive.\nAnswer: q**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -143\/2*c**2 + 0*c**4 - 44\/3*c**3 - 1\/5*c**5 + 133 + 0*c. What is the second derivative of m(h) wrt h?\nAnswer: -12*h**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 689*o - 743*o = -13824. Does 1278\/5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + ((-210)\/8)\/(-5). Let c(n) = -3*n - 11. Let s(f) = 2*f + 6. Calculate j*s(o) + 3*c(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203420854 divided by -91.\nAnswer: 2235394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from mccocjncjo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/(0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5842b (base 14) to base 12\nAnswer: a4407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8294.235 hours?\nAnswer: 29859246000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19\/152)\/(20\/(-32)) + 82\/10. Let k be 3\/(-2) + 1\/(-2). Let a(s) = -s**3 - s**2 - s + 2. Let c be a(k). Solve 3*j + 5*o = c, j = -0*j - 3*o + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45009302707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16, 0.6, -5\/2, 0.3, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57 - 0.67. Is n less than or equal to 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0 + 0)*(212 - 77 + 186 - 41 + 83).\nAnswer: 363*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031195251 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/64790 and -53\/3751.\nAnswer: 712690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 - (0 + -1)) + 1 + -2. Calculate the remainder when -101*(2 + 28\/r)*3 is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0*w**5 + 2*w**5 - w**5) - 3*w**5 - w**5 + 2*w**5 - 2*w**5 - w**5 + 39210858*w**4 - 39211324*w**4.\nAnswer: -4*w**5 - 466*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 137. Let s(g) = z*g + 3 + g**2 - 10*g - 2*g**3 - 3*g - 11*g. Give s(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 8*w + 10. Let f be x(8). Let g(z) = -3*z - 3*z - 3*z + f*z. Let u(k) = 10*k. What is u(g(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 2*o - 1. Let m be k(2). Let b be m\/(-2) - (-5)\/10. Let z be 0 - b\/(-3) - -2. Let n(w) = -w**2 + 2*w - 4. Give n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4 + 4*r + 315*r + 387*r.\nAnswer: 706*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a + 2. Let w be v(-1). Let u be 0\/(3\/(-9)*w). Suppose -i + 1039 - 110 = u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -16 + 2\/3*n**2 + 4\/3*n = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*g - 205*g - 468*g.\nAnswer: -919*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/6)\/((-8)\/(-12)). Let g = w + 0. Suppose -4*i + g = -3*i. Solve -i*h = h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 + 2 = 0. Suppose b*r = 4 - 8. Let l = r - -3. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 2*x + 8. Let n(u) = 8*u**2 - u - 7. Let b(s) = -2*n(s) - 3*v(s). Let l(y) = 2*y**2 - 1. Let o(j) = -3*b(j) + 15*l(j). Factor o(d).\nAnswer: -3*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -750*n**2. Let y(a) = -10*a**2. Determine c(y(s)).\nAnswer: -75000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyxgyygyyxgyy. What is prob of picking 1 y and 3 g?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 46 = -12*z. Is z\/16 + ((-31108)\/(-32) - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(6\/5)*w)\/w)**(4\/7) assuming w is positive.\nAnswer: w**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98496 is divided by 299.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 + 20*i**2 - 3*i**2 + 20*i**2 as p + k*i + u*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-14)*2\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25549 and 56384.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105685 and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 2:19 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**3 + m**3 + 188*m - 176*m wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526508 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-106)\/159*(-18)\/4. Let f = 3 - -2. Let i = -1 + f. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -726 or 0.05606?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3332 - 2298. What is the highest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*o + 48. Suppose -o*b - b = -3495. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (5 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 0.2 (c) -167 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t + 3. Let n be y(3). Find the third derivative of 10*a**6 - 8*a**n + 3*a**2 - 2*a**2 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*b + b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 22*p. Suppose -2*n = 3*q - 15, 2*n + n = -2*q + 15. Let c be x(n). List the prime factors of c\/6 + (2 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 4. Let r(m) = m + 4. What is 3*a(q) + 4*r(q)?\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049731\/21744 - -7\/7248. Let k = 485\/9 - p. Find the common denominator of 2\/4*(-1)\/1 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 5*n - 6. Let r be y(-4). Let k = r + 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:21 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -208\/417 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*q + 8, 60*v - 1 = -11*q + 56*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3 + 11*l**2\/2 - 11*l. List the prime factors of u(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -5*w + 57. Let h be -1 + 0 + 0 + w. Suppose -1 - 3 = -2*z. Solve -8 = -h*n + z*y, -3*n + y = 3*y - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1. Let y(x) = 6*x + 5. Calculate 4*f(t) - y(t).\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 + 4. Let n be 1\/1*((-9)\/(-12))\/(-3). What is the closest to -1 in s, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4788*i**3 - 4590*i**3 + 9373*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3)*z*z**(-16)\/z*z*z)**11 assuming z is positive.\nAnswer: z**(-451\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/384 and -93\/4.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*b - 7 - 16, 50 = -10*b. Which is smaller: -35\/188 or m?\nAnswer: -35\/188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from badjzzeddjje. Give prob of sequence aje.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2549\/4 + 637. Let u be (1 - 6\/2) + 12. Suppose u = 4*x - 9*x. Which is the nearest to x? (a) 2 (b) -4\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16578817 + -6?\nAnswer: 16578811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:59 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.37 + -3.06. Let g = r - 0.31. Sort -2, -1\/4, g in ascending order.\nAnswer: -2, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10335 is divided by 10254.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -30. Let g = i + 35. Find the first derivative of -27*k**2 + 13*k**g + 28 + 19*k**2 wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -19 (c) 0 (d) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 11) in base 10?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 647 - 455. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*s + 3*q, 3*s = -3*q - 239 + 245 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**5 + 198260*v**4 + 17021725*v**3 + 330139570*v**2 - 1531163700*v + 1602423000 = 0.\nAnswer: -39566, -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120939*z**5 - 55*z**2 - 666*z - 2 wrt z?\nAnswer: -7256340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 11*q = -15*q. Suppose s - 1 = q, 47*g + 7 = 50*g - 5*s. Solve -o = 2*u - 1 + 11, -g*o - 25 = 3*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 41 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64858939.\nAnswer: 83, 781433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 26*t - 31*t. What is the tens digit of (-3)\/t - 828\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-3 - -10)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(-4 - 1 + 7) - 5 + 4 + 4 + 1 - 4 + 0 + (2 + 2 - 6)*(-1 + 2 - 2))*(11*c**5 + 16*c**3 - 16*c**3).\nAnswer: -22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14200 divided by -355?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 259 + -4. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12*c**2 - 10*c + 12. Suppose -7*l + 20 + 36 = 0. Suppose -5*f + l = 4*g + 18, -3*f = -4*g + 6. Let k(p) = p**2 - p + 1. What is f*y(b) + 22*k(b)?\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 divided by 5?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o. Let z(k) = 3*k. Let y(w) = 4*f(w) - 5*z(w). Let j = 2 - 2. Let h(d) = -3*d + j*d + 2*d. Determine y(h(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3334194, 3334198, 3334202, 3334206, 3334210?\nAnswer: 3334214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -28. Suppose 4*d = -0*d - p*z + 206, 4*d = -5*z + 191. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/660*q**6 + 2\/1155*q**7 - 1\/132*q**4 + 23*q**2 + 0*q**3 + 0 + 0*q - 1\/165*q**5. Let c(z) = 0. What is z?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 197*v**2 + 1887*v - 832. Give q(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 73. Let n be l(19). Suppose 0 = -3*b + n*b - 2340. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1364*d**4 - 938 + 10*d**2 + 8*d**2 + 2764 - 18*d**2 wrt d?\nAnswer: -5456*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Solve j - 2 = n, -3*n + 5 = z*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.3797?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 826632 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/(-8) + -27 + 14 + 3)*(-96)\/(-684).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1724111, -3448209, -5172317, -6896435, -8620563?\nAnswer: -10344701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4979946 and 1334?\nAnswer: 3321623982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 15, 2, 0.24, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:15 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373 + 8166*b**2 + 8174*b**2 + 1574*b**3 - 16337*b**2 - 51 wrt b.\nAnswer: 9444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -904 + 1499. Let z = k + -351. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -194. Solve 3*j + c*k - 10 = 0, -51*k = j - 55*k + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 - 3*x**2 - 2*x**2)*(4592 - 8489 + 3*x**2 + 4374) to the form c + k*x**2 + n*x + f*x**3 + a*x**4 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354*v - 9*v - 355*v - 46*v - 310*v to the form a + u*v and give u.\nAnswer: -1074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 + 2.2. Let g = 0.07 - 4.07. Let l = 6 + g. What is the third biggest value in v, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -6*m**5\/13 + m**4\/13 + 5. Factor a(b).\nAnswer: -2*b**3*(15*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.542, -2, -1.35, -0.9, 0.1 in decreasing order.\nAnswer: 0.1, -0.542, -0.9, -1.35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q - 1. Let u(y) = 3*y - 6. Let l be u(4). Suppose -l = o - 7. Give a(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Let d = 92390.48 - 92391. Which is the closest to -2? (a) -3 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - c - 405. Calculate the remainder when 117 is divided by (-8)\/3*c\/3.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13\/3 + 9*z - 5*z**2 + 1\/3*z**3 = 0. Calculate z.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*u + 2 - 2)*(3 + 4 - 4) + 0*u + 0*u + 2*u)*(16 - 13*u - 16).\nAnswer: 91*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 6 (c) 2.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*w**3\/3 - 37*w**2\/6 - 2*w = 0. Calculate w.\nAnswer: -1\/4, 0, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12001 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69896*p**2 - 37673?\nAnswer: -139792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6*o**2 + o - 3. Let g be u(6). Let q = 8 - g. Suppose 14*d - 176 = 3*d. Solve 2*z - 4*t = d, 5*z + t + q = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 2 - 266. Let x(z) = z**2 - 11*z - 14. Let u be x(11). Let g = u + o. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1381, 1379, 1377?\n\"Answer: -2*u + 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, 9\/11, 2\/21, -0.5, 688?\nAnswer: 688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626 + -474. Suppose -38*m + 0*m = -t. Calculate the least common multiple of m and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose x + h + 0 - 1 = 0, 3*h + 15 = 0. Let a be (2 + 68\/x)*3. What is the greatest common factor of z and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1505, 4506, 9025, 15062, 22617?\nAnswer: 31690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48905618.\nAnswer: 2, 433, 56473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(18361\/(-2795)))\/5\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 221, 2 in increasing order.\nAnswer: 2, 5, 6, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let w(t) = t**2 - 5*t + 7. Is w(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 13*q**2 - 10*q**2 + 0*q**2 - 2*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 58. Let c = 17 + j. Is 3\/82 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrfrrcbfmcclf. Give prob of sequence mbf.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3918 + 3927. Solve -79 = i*w - 97 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 25*a. Let l(b) = 2*b - 2. Let c(x) = x - 2. Let h(v) = -2*c(v) + 2*l(v). What is -40*h(s) + 3*u(s)?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 335*g - 1388.\nAnswer: (g + 4)*(3*g - 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115\/33 - 42\/11. Which is the nearest to h? (a) -1 (b) 2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5 + (24\/20)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/3406 and -1\/1109308.\nAnswer: 14421004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 503, 1115, 1969?\n\"Answer: 121*x**2 + 7*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 8*h - 10. Suppose -2*z = -5*c + 1, 9*c - 11 = z - 2*z. Let i be f(z). Suppose -16*t + 0 + 8\/3*t**i - 1\/9*t**3 = 0. What is t?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211 - 1539 = -150*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183386 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -164. Suppose 0 = -6*v - 1 + t. Is v at most -2\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**2 - 155*x + 1306*x - 756*x = 0.\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 278\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.01 - -0.01. Let v = -28.43 - -7.43. Let t = v - q. Which is bigger: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 7:14 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7148.19 times 0.02?\nAnswer: 142.9638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -17*z - 1394. Let f be r(-82). Which is the fourth biggest value? (a) f (b) -2 (c) -0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91133, 91117, 91101, 91085, 91069, 91053?\n\"Answer: -16*k + 91149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9063165267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.993, 7, 0.4?\nAnswer: -0.993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -75021 divided by -6\nAnswer: 25007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 - (-198)\/9 - (-4)\/((-36)\/75). Which is the closest to 0.0713? (a) 2 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + 4 - 5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**3 - 11*k**3 - 21*k**3)*(-3 + 0 + 1 + (4 - 5 + 3)*(2 - 2 + 1) - 2 - 6 + 7).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/384 and 79\/6347344.\nAnswer: 152336256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -221?\nAnswer: -24.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 12*c - 45 = 0. Calculate c.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:14 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66801 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 11*m**2 + 10*m. Let x be z(0). Let h = -7\/123 - 31193\/861. Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 + m + 2. Let f(v) = v**3 + v**2 + v + 1. Let y(r) = -c(r) + 4*f(r). Calculate y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 0.94197\nAnswer: 11.30364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 4*c + 8*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -2608. List the prime factors of w.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/35 - -3\/7. Suppose -12 = 4*p - 0. Which is the closest to -2\/21? (a) p (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235935017 to the nearest integer?\nAnswer: 15360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 922 and 954738376.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3827)\/86*4\/30 - -6. What is the closest to c in 2\/7, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -903 + 903.001183. What is x rounded to 5 dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(5\/4 + -2). Let k be 17\/4 - 1\/t. Suppose 0 = 4*l + k - 32. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -13, -0.3, -1\/6 in ascending order.\nAnswer: -13, -0.3, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) + (-27)\/(-18). Suppose o = -3*b + 6, -5*u - b = -3*b - 26. Calculate the smallest common multiple of u and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.317789 + 1.1177892. Let t = -0.02 - -0.22. Let u = f + t. Round u to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2372042*w**3 - 3220802.\nAnswer: 7116126*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/5679 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - -5) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(832) - (sqrt(832) + 0))*6)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-414)\/39)\/(((-640)\/(-4160))\/((-4)\/3)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3 - 24*j - 1. Suppose -11 = -2*o - 5*n - 3, -20 = -5*o + 2*n. Let s(f) = -f. Let t(l) = o*u(l) + 21*s(l). Give t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3 + 0*h**2 + 1\/5*h - 1\/15*h**3. Suppose u(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*k = 197344, 5*x + 2*k - 378938 - 114382 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -176642?\nAnswer: -5\/176642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-152)\/35 + 3\/15 and -81\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-533)\/(-39) - (3 - 74\/30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 4*g**2 - 13*g. Let n be d(6). Let y be (n\/2)\/(9\/(-2811)). Let j = 63 + y. What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 2*u**3 + 3*u**3 + (3*u + u - 6*u)*(2*u**2 + 2*u - 2*u) - 4*u**3 - u**3 + 4*u**3 + (-2 + 3*u + 2)*(3 - 2*u**2 - 3 + (1 + u - 1)*(5*u - 3*u - 3*u)).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 2*s + 4. What is the lowest common multiple of -1*(0 - -1)*-18 and r(2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13158.19 seconds?\nAnswer: 13158190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5913 and 10.\nAnswer: 59130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/115, 1.5, 47?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**5 - 4*l**4 + 2*l**3 + 4*l**2 - 5*l. Let y(h) = -6*h**5 + 3*h**4 - 3*h**3 - 3*h**2 + 6*h. Let d(f) = 3*m(f) + 2*y(f). Solve d(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1958*p**2 - 4 - 651*p**2 + 4 - 638*p**2 - 671*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -82*f**2 + 139*f**2 - 42*f**2. Let l(d) = -184*d**2. Determine l(g(a)).\nAnswer: -41400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2660 + -2527. What is the highest common factor of a and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**5\/100 - b**4\/60 - b**3\/10 + b**2\/10 + b. Factor g(p).\nAnswer: (p - 1)*(p + 1)*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3322 and 47036198?\nAnswer: 47036198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888135.\nAnswer: 3, 5, 59209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/24 + 5*d**3\/6 + d**2. Let u be h(-4). Is 2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0) + (-12)\/(-21). Is 4 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 51, 1\/4, -1, -0.33, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/216*27)\/((-9)\/56).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93211483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -20*b + 17*b. What is the remainder when 18 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 10*b - 22. Let n be z(-5). Solve 1 = 2*x - n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 315, 597, 879, 1161, 1443, 1725?\n\"Answer: 282*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 26*j + 81. Let n(h) = -h**2 - 26*h - 80. Let x(v) = -4*n(v) - 5*q(v). Let t be x(-22). Solve 2*i - 9 = -t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-560)*70)\/((-2)\/((-16)\/(-50)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88, -183, -278, -373?\n\"Answer: -95*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -38 = -6*y + 16. Suppose y*o = o + 16. Solve 4*u - 16 = -4*g, u = -a*g - o*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4032492 or 4032490?\nAnswer: 4032490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 20*l - 689 = -2*k - 531, -k - l - 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 11*l + 89*s = -7*l - 2*l + 488, -104 = 2*l - 4*s for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102220212 - 2?\nAnswer: 10102220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -948850*g**2 - 10488*g + 15.\nAnswer: -1897700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1188307337152 - -6\nAnswer: 1188307337158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244800*f**3 - 244805*f**3 - 3*f**2 + 3*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 19*y + 159. Give a(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608430259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6\/(-2) - (-165)\/60\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x - 4. Let n(i) = 2*i**2 - 13*i - 10. Let k(v) = -6*n(v) + 13*o(v). What is k(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -2*n - 26*q + 26, 3*q = -21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (5 - 9) + -3 + 8 + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 135*y + 149.\nAnswer: 135*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046514 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4862458 is divided by 3656?\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:02 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 + -122. Suppose -3*u + 58 = -o. Calculate the highest common divisor of 342 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100002 - -10200202?\nAnswer: 10100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5629865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429\/132*(-16)\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 213*k**3 - 6*k**2 - 3*k. Let m(o) = -429*o**3 + 13*o**2 + 4*o. Calculate 4*m(d) + 9*r(d).\nAnswer: 201*d**3 - 2*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 8*a - 8. Let l(q) = q**2. Let x(k) = 5*l(k) - u(k). List the prime factors of x(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + -205. Which is greater: b or -810?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrbaboa. Give prob of picking 2 a and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 880*o - 1744. Determine w(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199652\/15 + 13310. Sort 4, 0, t, -2\/3, 34\/3 in decreasing order.\nAnswer: 34\/3, 4, 0, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 250. Determine x(-27).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3 - (-5 + 3). Let r = 0.3 - 1.3. Let o = 9 + -4. What is the closest to r in -2\/7, o, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/86814 and -13\/360.\nAnswer: 1736280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 16 = -11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (3 - 6) + (-6)\/((-24)\/4300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 1867, 4178, 7415, 11578?\nAnswer: 16667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 7556*j - 136992. What is y(18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (173 - 167 - (-2 - -28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874656 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/30 + s**4\/4 + 3*s. Find the third derivative of c(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (17 - (38 - (15 - 18))))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345547?\nAnswer: 345547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6258 and 39298?\nAnswer: 17566206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*l**2 + 65*l**3 + 27*l - 8*l**3 - 25*l + 215*l**3 + 0 as i + o*l**2 + z*l**3 + u*l and give z.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 83015, -47 in increasing order.\nAnswer: -47, 16, 83015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -43.5. Let y = 5 - 2. Which is the second biggest value? (a) k (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 87 + 264 = -183 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2. Let q = 921 + -911. Let x(p) be the second derivative of q*p + 0*p**2 - 1\/12*p**4 + 0*p**3 + 0. What is x(i(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1193*q**4\/4 + 293*q**3\/3 - 5*q**2\/2 + q + 4635. Find the third derivative of v(m) wrt m.\nAnswer: -7158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -387\/7*q**3 + 0 - 132\/7*q - 393\/7*q**2 - 123\/7*q**4 + 3\/7*q**5 = 0. Calculate q.\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 20802.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018967 - 1931175290.\nAnswer: -1931175289.981033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 161 = -g - 0, -k = 4*g - 19. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1708275l in millilitres?\nAnswer: 170.8275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2833187 is divided by 1561.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4894 in -2\/3, 218, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 19. Let k(x) = -5*x**2 - 11*x**2 + d*x**2 - 4*x**2. Let h(f) = f**2. Determine k(h(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18769?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3400*w - 3414*w = -154 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 6)\/(2\/86) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 + -3.3. Let m = 6 - 6.02. Let z = m + 3.02. Which is the closest to 1\/2? (a) l (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 6*c**2 + 5*c + 11. Let x = 50 + -45. Let j be s(x). Let h = -78 + j. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4598 - 329.2402. Let w = -350 - v. Let g = 20 + w. What is the smallest value in g, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + v + 5 + 18 + 3 - 13 + 3.\nAnswer: v + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 28*c - 287. Calculate t(-35).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-34)*21505\/(-3795)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 + 124 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 (base 10) in base 11?\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.7937 to 2 dps.\nAnswer: 13.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 + 3*r**2 - 5*r + 10. Let b = -73 + 77. Let j be s(b). Suppose -1224 = -3*y + j. Calculate the highest common divisor of y and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510876 and 46253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**4 + 28 + 0*x**4 + 2*x**3 + x**4 + 0*x**3 + 0 as k*x + a*x**4 + j + l*x**2 + r*x**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -261*i. Let k(c) = -14042*c + 9. Give y(k(b)).\nAnswer: 3664962*b - 2349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668928550 to the nearest integer?\nAnswer: 25864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1419 - -1423.635. Let r = 3.4 - -1.1. Let j = r - o. What is j rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12025070919551\/7428 - -1618884073. Let g = 6\/619 - m. Find the common denominator of (1 - 1) + (-41)\/(-10) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/60*4). Let l = -120 + 120.5. What is the biggest value in b, -12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383218 divided by 11\nAnswer: -34838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdc when three letters picked without replacement from {c: 4, m: 3, f: 2, d: 1, a: 2, h: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 3. Let o(g) = 377*g - 117. Let k(d) = 59*d + 12. Let m(q) = 77*q + 14. Let i(x) = -5*k(x) + 4*m(x). Determine a*o(n) - 117*i(n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9775.077mg?\nAnswer: 0.000009775077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.705 * -7440.\nAnswer: -5245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*t**2 + 3*t - 48*t**2 + 34*t**2 - 3*t - 7*t - 9 in the form k*t**2 + u + p*t and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(150\/(-105))\/((-12)\/(-21))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4857.8 to the nearest 100.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1066 and 328?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5735, 6166, 6883, 7886?\nAnswer: 9175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3162 - 3167. What is the closest to 4 in x, 0, 134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7290 and 540?\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)*10\/4. Let c = 3 - d. Let r(x) = -x**3 - 3*x**2 + x - 3. Let w be r(-4). Is w not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + (-3 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Suppose 2*q - 18 = 8*q. Which is the closest to -1\/3? (a) -1\/3 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 + 3*t + (0 + 1 + 1)*(-t + 2*t + 3*t) + 0*t + 0*t + t to m + q*t and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, v: 2, s: 2, b: 3}. What is prob of sequence tbsb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/p**24)\/p)\/p)\/p*p)\/p*p*p**(-41)*p**(-2\/71)\/(p*p\/(p**(-28)\/p)) assuming p is positive.\nAnswer: p**(-6818\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-10)*u)**(2\/63) assuming u is positive.\nAnswer: u**(-16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 40*g - 189. Determine f(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 136c965e + 2?\nAnswer: 136c9661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158066974 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -8. Let a = 157 - 112. Let z be (-61)\/(-9) - (8 - 370\/a). What is the highest common factor of z and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1892 and 1093920.\nAnswer: 12033120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*v**5 + 2*v**4 + 602*v**2 wrt v.\nAnswer: -2700*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83959?\nAnswer: 113, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 + 1\/6*q**4 + 5*q + 0*q**2 + 0*q**3. Let v(a) = 13*a. Calculate v(r(p)).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 200 = -20*q - 3*f, -205 = -5*q - 2*f. Suppose -3*x = u - 3 + 20, -q = 3*u + x. Let p = -34 - -21. Does u = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w, 3 = 4*s + 5*w - 16. Suppose -2 = -5*x + s*x. What is the hundreds digit of (6 - (-7)\/x)\/((-2)\/(-148))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 + 3*f - 10. Let v be p(-6). Suppose -v - 1 = -3*y. What is the third derivative of 5*l**2 + 2*l**3 + y*l**3 - 9*l**3 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 8}. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 7*k - 2*k - k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 + 2*d**2 - 4*d + 1. Suppose -b - 6 + 17 = 0. Let u(c) = 21*c**3 - 11*c**2 + 21*c - 6. Determine b*p(h) + 2*u(h).\nAnswer: -2*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -16. Suppose 2*w - k + 4 = 0, 3*w + k = -k + 1. Sort 2, g, w in ascending order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26875.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247778*h**2 - 572195 with respect to h.\nAnswer: -495556*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 not equal to -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 5*n - 5*n as w*n + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 1, -36 in descending order.\nAnswer: 9, 5, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {h: 2, w: 6, d: 1, k: 1, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 987164.02 from -57.9315.\nAnswer: -987221.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 16. Solve p + 0 = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663861608.\nAnswer: 2, 3, 43, 359, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.45 + -0.5. Let w = t + -0.75. Let j = 2.2 - w. What is the biggest value in j, -2, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 10*a + 16. Let j be v(-11). Suppose t = j - 3. What is the lowest common multiple of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 times 49319\nAnswer: -335369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(858\/17))\/(45\/(-360)) - 12\/132?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 14 = -3*x, -26*f + 3*x = -31*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = -4*i + 77, 5*h + 15 = 0. Calculate the lowest common multiple of i and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 0*y)*(6 + 0 - 4) + 2 + 2*y - 2 - 1 + 3*y + 1 + (y - 2*y - y)*(2 - 3 + 2).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 7*w - 53. Let f be p(-12). Let m(a) be the second derivative of a**3\/3 - 7*a**2\/2 + 14*a. Give m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 f when three letters picked without replacement from {a: 2, l: 1, i: 6, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 3, 5, -4 in decreasing order.\nAnswer: 5, 3, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i + 3*y + 12, -2*i + 3*y - 30 = 0. Let v = 15 + i. Solve -24 = v*r + 3*a, -3*r - 38 = 4*a - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8754)\/(-4) - (270\/(-4))\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (17 - (-2 - 0)). Let o be (136\/l)\/((-1)\/(-6)). What is the tens digit of (-3)\/(-12) - o\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4 = -88*s + 92*s, 5*m = -s - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4274 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 2, l: 10}. What is prob of sequence ll?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -1 + 13. Let b(u) = u**3 - 4*u**2. Suppose 4*t - 7*t = -15. Let c(a) = -a**3 + 5*a**2. Give t*b(o) + z*c(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*l + 15, 2*v = 2*l - 0*l - 6. Suppose v = y - 3*y + 22. Let o = -138 + 179. Calculate the remainder when o is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10 = d. Suppose -3*o - 23 = -14. Suppose p = 5*c - 1 - 4, -5*c - 10 = 2*p. Put c, o, d in descending order.\nAnswer: c, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10181*c + 2334*c + 2439*c - 4557*c + 9602*c to u*c + r and give u.\nAnswer: 19999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2941 and 35707027?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179545500 and 675?\nAnswer: 538636500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + -2 - 0). Suppose -14 = 3*w - 4*w. Suppose -n = -o + w. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 5?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 8, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.38 - 6.38. Put -4, 2\/11, m, -2\/9 in decreasing order.\nAnswer: 2\/11, -2\/9, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7764 and 31056.\nAnswer: 31056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:12 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1024 + 0*b**2 - 3*b**2 - 1351*b**3 - 1579734*b + 1579734*b + b**2 wrt b?\nAnswer: -4053*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -5, 14, -203, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 70, 74, 76, 76?\n\"Answer: -c**2 + 9*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 + l - 7. Let v be a(5). List the prime factors of 1\/2 + v\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3158334 (base 10) to base 14.\nAnswer: -5c2dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + 3179200180802.\nAnswer: 3179200180802.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = 2*z - 552, 0 = -3*r - z + 32755. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35064 and 233760.\nAnswer: 701280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -69145?\nAnswer: 2\/69145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/64961 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 6*v - 23157*v**2 + 23191*v**2 - 8*v + 3*v.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053924142 rounded to five dps?\nAnswer: -0.05392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 270. Let c be (2 - 14\/10) + (-5552)\/p. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a2 (base 13) to base 10.\nAnswer: 3681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.9 (b) -1\/8 (c) 2 (d) -3\/5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60850.\nAnswer: 2, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.02 (b) 4 (c) 97 (d) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soofoofofofooo. What is prob of picking 1 f and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89547, 178843, 268139?\n\"Answer: 89296*x + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 4.97?\nAnswer: 4.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(963\/(-192) - -5). Let k = 64 - d. Sort 20, -3\/2, k in decreasing order.\nAnswer: 20, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l**2. Let w(b) = 660 + 3*b - 660. Let u(g) = g. Let n(z) = -5*u(z) + 2*w(z). Give n(d(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 40*y**2 - 49*y + 1236. What is the remainder when q(-38) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0*m)*m*(m*m**(-8))\/m*m)\/(m**(-2)*m)**(-3\/16) assuming m is positive.\nAnswer: m**(-99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 871771879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 230*s + 264*s - 225*s - 4 + 487*s.\nAnswer: 772*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/40))\/c*c**(-8))**(1\/8) assuming c is positive.\nAnswer: c**(-319\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3099*s + 66*s + 1015*s - 2255*s.\nAnswer: -4273*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 + 70. Suppose -199*w + 7752 = -y*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 6*l - 8. Let g be x(5). Let o be ((-88)\/(-3) + g\/9)*3. Does 10 divide (-1*o)\/(2*6\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1458 less than or equal to -361325\/248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 321 = 0. Let u = g + 84. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 3 = -12*q. Let w(z) = -3*z - 2. What is w(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 3. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 25*x**6\/3 + 2*x**3\/3 - 10*x**2 + 36. Find the third derivative of c(i) wrt i.\nAnswer: 3000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.08? (a) -2 (b) 3 (c) 1\/10 (d) 12 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9697 + -9631. What is the third biggest value in h, 0, 0.4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d = -80*d - 3520. Let p = d + -411. Suppose 5*l + m - 763 = 0, 4*l - 303 - p = 4*m. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46052 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4014 is divided by 1937?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.016603 decades?\nAnswer: 0.5016603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069.931495 rounded to one decimal place?\nAnswer: 1069.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/(-21))\/(2\/(-6)). Let j(b) = l - 8 - b. Let i(w) = -4*w**2. What is j(i(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 52215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 < -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + -2 - (15 + -13 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n + 4 = f, -2*f - n = 2. Suppose h - 13 - 20 = f. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -9)\/(4\/170). What is z rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1 - r**3 - r**2 - r**2 - 2*r**2 + 11*r. Let q be g(-6). What is the highest common divisor of q and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = h + 113, f + 5*h = -f + 56. Let g(p) = 13 - f - 17 - p. What is g(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 0.09, 8, 1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 2. Let h be f(1). Factor -4*d**3 + 13*d + h*d - 48*d**2 + 19*d**3 + 75*d**4 - d.\nAnswer: 3*d*(d + 1)*(5*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -823090608 and -1.2.\nAnswer: -823090609.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*b*c**2*n - 71830*b*c - c**2*n - 21573714*c**2 - n wrt b?\nAnswer: -130*c**2*n - 71830*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*i - 21 = 0, -6*j - 33 = -j - 4*i. What is the second biggest value in -2, 0.4, -1\/17, j?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:30 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/((sqrt(60)\/sqrt(3))\/sqrt(2)))\/(sqrt(64)*2 - (sqrt(4) + sqrt(28)\/sqrt(63))).\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let p = 2 + 109. Suppose -c*g + p = g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 3, r: 1, d: 4}. Give prob of sequence ddh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -557 + 561. Solve 13*y = 12*y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10. Let f be l\/(((-6)\/(-5))\/(63\/210)). Factor 0 - 35\/3*a**4 + f*a + 15*a**3 - 10\/3*a**2.\nAnswer: -5*a**2*(a - 1)*(7*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 6 = 2*r - r, -4*x - 27 = 5*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by -4.\nAnswer: -1375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.01 (b) 207 (c) -2\/11 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) - (sqrt(63)\/(sqrt(9) + sqrt(45)\/sqrt(5)) + sqrt(7))) + 0.\nAnswer: -sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927 (base 16) to base 6.\nAnswer: 14503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 125 - 1999 = -4*y, 0 = -2*l + 2*y + 1058. Let b = l + -209. What are the prime factors of b?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1867, -14.\nAnswer: -1867, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 358427 = 358949 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87.46 - -87.43. Which is the nearest to -2\/11? (a) k (b) -10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 164*l**3 - 20 + 163*l**3 - l to the form z*l + v*l**2 + o + i*l**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 2*d - 16, 3*d - 12 = 0. Let y be 1 - ((-8)\/h - 3 - -13). Let r(v) = -6*v - 12. Is 6 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33117160.\nAnswer: 2, 5, 827929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -43. What is the least common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72607 - 43407. List the prime factors of b.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 30 + 30 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 8 + 14*t - 4*t - 7. Let i be b(10). Solve i = -4*j - 3*p, -4*p + 22 = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2157 - 1656 + 2456*p + 790*p + 103 wrt p?\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than 1183.8309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-36) - (-50)\/18. Suppose -3*o + o + q*h = 16, -5*h + 23 = -3*o. Let j = o + 22. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i + 6. Let a(q) = 2*q**2 + 2*q - 61. Let c be a(-6). Let p(m) = -m - 1. Determine c*g(y) - 6*p(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12207 and 137481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Suppose 0 = -v - 4*c, 0 + 1 = -c. Let k(m) = m - v*m + 4*m - 3*m. Calculate j(k(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h - x - 3, 2*h + x = -3. Suppose 2*o - 4*k = -238, 5*o - o + 5*k + 476 = h. Calculate the remainder when o\/(-3) + (-2)\/3 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36329.74 + -35793. Round j to the nearest integer.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 63779610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 189 - 45 = 0. Suppose 3*y = 4*k - 6, 4*y + k - 20 = -3*k. Let b be (h\/(-10) - y)\/(2\/10). Solve -b*a + 2 = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.5 - -26. Let w = s + -2.7. What is the third biggest value in -0.5, w, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(297)*4)\/((sqrt(11)*4 - sqrt(11) - sqrt(11))*1))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 7*j**2 + 2*j**2 + (-4*j + 6*j - 4*j)*(4*j - 3*j + 0*j) - 12*j**2 - j**2 + 0*j**2 as z + u*j**2 + x*j and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100768\/(-88172)*66\/(-16).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 3, l: 3, y: 2, s: 5, g: 1}. What is prob of picking 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 293 - 293. Suppose -167*c + 149*c + 324 = b. Let u(d) = -d - 1. Let h(s) = -s**3 + 9*s + 10. What is c*u(w) + 2*h(w)?\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 101405346*y + 2570761049344929.\nAnswer: (y + 50702673)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.4023 kilograms to tonnes.\nAnswer: 0.3534023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -244\nAnswer: 1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 622700 rounded to the nearest 10000?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20201001221213 + 12?\nAnswer: -20201001221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1, -3\/8, 28, 0.4, -4\/205?\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 162*q**2 + 1284*q + 24. Give n(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 61 = j, 75*y - 77*y + 50 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105\/874 - 9\/46. Which is the second smallest value? (a) 3\/7 (b) r (c) -0.1 (d) -1\/3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2*z + 312. Let h be s(0). Let a = 238 + h. Is 55 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = -102*n + 300*n - 93*n - 95*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5071\/(-461) - (284\/(-10) - 1). What is x in 4\/5*x**5 - 8 - 8*x**2 - 32\/5*x**3 + j*x + 16\/5*x**4 = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(15) + 5*(sqrt(15) - -2*sqrt(15)))\/(sqrt(25)\/(sqrt(15)\/sqrt(3))))**2.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4000913 by -1.\nAnswer: -4000913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 2*g, 0 = -2*u + 8*g - 3*g + 1. Suppose u = 2*c + n, -5*c + 3 + 2 = 5*n. Put 3\/2, c, 4 in descending order.\nAnswer: 4, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + 44 - 1 - -29?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179092218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 590529 = 13986. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from ssuxsssxvsuxsxxxsxxs.\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5876032872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 81, 140, 225, 336, 473?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 200*f**2 + 4*f. Let j(r) = -96*r**2 - 2*r. Determine 4*b(o) + 7*j(o).\nAnswer: 128*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 12131002?\nAnswer: -12130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -174, -3, 0.2?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2753 (base 9) to base 5.\nAnswer: 31243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2228 + -2229. What is the nearest to m in -25, 2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -272 + 423. Let z = 64 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(39\/(-52)). Let g(w) = -2*w**3 - 18*w**2 + 22*w**m - 5 + 1. Let y(v) = -2*v**3 + 5*v**2 - 5. Calculate 5*g(r) - 4*y(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - o = 15, 6*o = 2*o - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -32*t**2. Let o(h) = 9849021*h. Determine k(o(p)).\nAnswer: -3104102869070112*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28482 + 97182. Calculate the greatest common factor of 300 and q.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:10 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 11 = -3*o - 4*m, -2*o + 8 = -5*m. Let j be 2\/o*1\/17. Sort -0.1, -3, j in increasing order.\nAnswer: -3, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + t - 3. Let c(g) = -91*g**2 + 18*g - 24. Calculate c(k) - 8*h(k).\nAnswer: -75*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.27. Let p = 0 + -0.1. Which is the closest to 2? (a) y (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -577\/5 + 115. Let y = -1.188 - -2.188. Is y < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j**2 - 108506*j + 53828*j + 54678*j.\nAnswer: 47*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(3\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 4. Let j(y) = 3*y**2 + 9. Calculate -10*c(s) + 4*j(s).\nAnswer: 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.185?\nAnswer: -0.02775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a = 30*a + 7035. Solve -2*t + 5*u - 8 = 0, -5*u = a*t - 66*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139 - 2*n**2 + 50*n - 37*n + 23*n wrt n?\nAnswer: -4*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*r**3 + 0 + 1976\/3*r - 980\/3*r**2.\nAnswer: -4*r*(r - 2)*(r + 247)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2079\/41580)\/(3\/40).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/4)\/((-780)\/(-182))*(-18)\/(-63).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-8)))**(4\/9)\/((d\/(d\/d**(15\/4)))\/d**(-16)) assuming d is positive.\nAnswer: d**(-839\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28046888 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 - 12\/3). Sort -2, 2, -4, x.\nAnswer: -4, x, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/3594021 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5593, -5587, -5581, -5575, -5569, -5563?\n\"Answer: 6*h - 5599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 h, and 1 t when four letters picked without replacement from thqthhzhqthztzhhhhh.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 93 + 8*g**2 + 106 - 276 - 19 + 103. Let z(l) = -4*l**2 + l - 3. Determine -3*c(q) - 7*z(q).\nAnswer: 4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 20, -180, -440, -748, -1092?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10813*k**2 + 9900*k?\nAnswer: 21626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 70*v + 635. Calculate the remainder when w(10) is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33251024237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111202220 - 11?\nAnswer: 111202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 1)*(z**4 + 5*z**4 - 4*z**4) + (-3*z**4 + 4*z**4 - 4*z**4 - 2*z**2)*(-3 + 0 + 4)*(0 + 1 - 5) to y + n*z**4 + a*z**2 + b*z + f*z**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -40, -39?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(88) - -2*(sqrt(88)*-1 + sqrt(88) + sqrt(88)))\/((sqrt(8) - (sqrt(128) + sqrt(128)*1)) + (sqrt(16)\/sqrt(2) - sqrt(8))*4) + -4)**2.\nAnswer: -24*sqrt(11)\/7 + 883\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 10*q**2 - 9*q + 3. What is the units digit of i(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6549, 0, -1, 4 in ascending order.\nAnswer: -1, 0, 4, 6549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-10))\/(359\/(-1795)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q + 0 + 1\/3*q**4 + 0*q**3 + 44*q**2. Let j(d) = -8*d**2. What is x(j(n))?\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384596?\nAnswer: 2, 96149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3916215239 + 3916215239 - 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 3. Suppose 26*k = 29*k - 9. Suppose k*n = 2*u, 0 = -j*n - 2*u + 3*u. Solve 3*c + 0*c = n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from lddlddllldllwdlll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*x + 72, -400 = -5*p + 4*x + x. Let c = -250 + 254. Suppose -10 = 6*z - c*z, -t + 2*z = -36. Calculate the greatest common divisor of p and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 8113.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 46 - 25 - 23 + (7*j - 3*j + 3*j)*(-2 + 2 - 1))*(3*j**2 - 3*j**2 - 6*j**2).\nAnswer: 36*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.9 + 41.899638. Round v to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -171, -47466.\nAnswer: -47466, -171, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 625 divide 22881962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4053?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/19, -2\/7, 0.007.\nAnswer: -2\/7, 0.007, 2\/19, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8398375 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*t - 5595 + 5051 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k - 3. Let t(w) = 20*w + 5. Let x(z) = -7*r(z) - 4*t(z). Suppose -3*u = -8*u. Let g be x(u). Which is bigger: 5\/14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-8) + -141 - -15. Is -119 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and (1 - 10\/16)\/((-108)\/1744).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o + 2*t - 118, 1574*t = 5*o + 1571*t - 57 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 683*d - 6138. Determine a(-9).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*o - 57*o - 9 - 308*o**2 - 66*o in the form c*o**2 + k*o + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20580 and 20580?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(5)*1)**2 - sqrt(15)\/sqrt(3)*1) + -2 + (6*-2*sqrt(5) + -2)**2 + 2.\nAnswer: 47*sqrt(5) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-462)\/(-12))\/(-11))\/((-216)\/(-540))*(-56)\/10?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -27*a**2 + 396*a - 1914. Calculate o(5).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 - -64. Let i = c + 83. Suppose -a - 1 = 4. Sort 2\/9, i, a in increasing order.\nAnswer: a, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 30. Let b be r(-13). Calculate the common denominator of 10 - b - (-205)\/42 and -5\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1620, 3230, 4832, 6420, 7988?\n\"Answer: -h**3 + 2*h**2 + 1611*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, u: 11, q: 1}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 221\/10. Let g = 22 - 22. Is g less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 + 21 = 5*q, -2*q - 2*l + 6 = 0. What is the second derivative of -16*z**3 - 11*z**3 + 3*z**3 - 2 + 3*z - 9*z**q wrt z?\nAnswer: -198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 0. Let y be ((-6)\/(-2))\/(3\/36). Let g = m + y. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -16. Let f(r) = r**2 + r + 3. Give f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 - 2*n**2)*(-5 + 5 - n)*(-133*n**2 + 131*n**2 - 2*n - 3*n).\nAnswer: -8*n**5 - 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 5. Let u(w) = -7*w - 1. Let l(r) = 13*r + 2. Let z(h) = 3*l(h) + 5*u(h). Let v be z(1). Let q(k) = k - 3. Determine v*q(t) + 3*a(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 749*a + 139810. Determine d(394).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 93?\nAnswer: 5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 75*s**3 + 2*s + 6*s**3.\nAnswer: -69*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 1262 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12103 and 117?\nAnswer: 108927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisyiyxiyhy. Give prob of picking 1 x and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 12. Determine u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by -12920?\nAnswer: -43\/3230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103*f - 203315 - 136245 = -1123*f. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w - 3 - 2*w**3)*(648 - 789 + 449).\nAnswer: -616*w**3 - 308*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3133 + -1456. Let x = y + 4589.004877. What is x rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:41 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048306 rounded to five dps?\nAnswer: -0.00483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2497\/889 - -12\/127. Calculate the common denominator of -36 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5387, 10768, 16145, 21518, 26887, 32252, 37613?\nAnswer: 42970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 322559, 3.\nAnswer: -5, 3, 322559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*l = 2*l + 40, -4*j + l + 20 = 0. What is the greatest common divisor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 7\/24*k**4 + 0*k**5 - 13\/120*k**6 + 8*k**2 + 0 + 0*k**3 + 0*k. What is the second derivative of c(x) wrt x?\nAnswer: -78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -v - 8. Let k be 7 + -4 + (v - 1). Solve 5*w + 5*z = -10, 0 = 4*w + z - k + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**4 - 5*v**4 + (0*v**4 + v**4 - 2*v**4)*(1 - 3 + 3).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*q**5 + 5160*q**4 + 11395*q**3 + 4475*q**2 - 995*q + 45 = 0. What is q?\nAnswer: -1, 1\/12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.215 + -0.515. What is the closest to 0.2 in i, 4, 5, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23.6 in -83, -0.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/135 and -67\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 104 - 483*j - 113.\nAnswer: -483*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o - 4, 5*f - 4*o + 713 = 0. Let d = 1356 + -1209. Let z = f + d. Solve -4*t + z = -7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:49 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1573) + 0 + sqrt(1573) - (sqrt(1573)*1 + -1))**2.\nAnswer: 44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34449 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 85. Let w be 1 + (-6 - -5*(-3 - s)). Solve -3*b = -4*d - w*d + 15, -d = b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -722255*n**3 + 163319*n wrt n?\nAnswer: -4333530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*y + 4*y. Let a(b) = -b**2 - 7*b + 2. Let d be a(-6). Solve -y*v - v = -d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 159. What is the tens digit of j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32080568 or 32080570?\nAnswer: 32080568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 682.7507cm?\nAnswer: 6.827507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.28 - 13.48. Are 0.0073 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -237 - -367. Let d = -125 + m. Solve -25 = -d*f, 5*f - f = 4*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334539 is divided by 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89.733 + -4.\nAnswer: 85.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/20 + 5*c**4\/12 - 4*c**3\/3 - 5*c**2\/2 + 8*c. Let i be r(-6). Find m such that -8*m + 3 + 0 - 3*m**2 - i = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 619*m**4 + m**3 + m**2 + 2*m - 72?\nAnswer: 7428*m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 92*a**3 - 37*a**2 + 107*a - 2. Let h be t(3). Solve h*q = 2468*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30\/8)\/(-5) + 108\/16 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33d5 - 21526?\nAnswer: -2491b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 30 = b, -3*b = 2*b - 10. Calculate the remainder when 12 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -33 - (7 - (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose z*s + s - 45 = 0. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 289*u + 2922. Give p(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 815*x**4 - 16355*x**3 + 121785*x**2 - 375120*x + 406080 = 0. What is x?\nAnswer: 3, 8, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 16926*n - 1623004.\nAnswer: -2*(n - 8366)*(n - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*i - 267 = i, 5*p = -4*i + 1335. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w**3 + 12*w**2 + 29*w**3 + 3*w**2 - 13*w**2 in the form s*w**2 + x + h*w + g*w**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517896 = -2*m + 6*m. Suppose 0 = -9*n - 34974 + m. What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = -6*z - 238 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000149056403 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 23*a**3\/3 + a**2\/2 - a + 44. Is d(-4) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -1c7?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.42 * -24.\nAnswer: 130.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1692\/84 - 21)\/(3\/(-2))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lteietaw. What is prob of sequence wia?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3088164357*k + 2*k**3 + 3088164357*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) 5\/2 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -69*m**2 - 7*m + 252. Let i(v) = 137*v**2 + 15*v - 506. Let a(x) = -6*i(x) - 11*y(x). Find the first derivative of a(p) wrt p.\nAnswer: -126*p - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let i(x) = -3*x - 4. Suppose 158 - 168 = -5*a. What is a*y(q) + i(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/283 (b) -2 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 8, 6, 4, 2?\n\"Answer: -2*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 + 7. Let c = 119 - 114. Suppose 2*j - 4*f = -2*f - 16, 3*j + 6 = -3*f. Let n = j + c. What is i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 5*p + 5. Let t(i) = i - 1. Suppose 19*n - 23*n - 4 = 0. Calculate n*u(y) - 5*t(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 254961 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -63. Let x = c - 15. What is the biggest value in 0.2, 2\/3, -3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.4 (c) -1\/41 (d) 3\/55 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-434))\/(1434\/48 - 30).\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*t**3 - 53*t - 9415*t**2 + 9415*t**2 + 53*t.\nAnswer: -928*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-300)\/40*2586\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 1, j: 1, i: 9}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 + 55\/66*6. Factor 0 + 0*l**2 - 6\/7*l**5 - 6\/7*l + 12\/7*l**3 + 0*l**o.\nAnswer: -6*l*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -55\/17, -2\/7, 3\/4, 0.1?\nAnswer: -55\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313739 + -11?\nAnswer: -313750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4 + 8467*f**3 + 6*f**2 + 4*f + 51259890 wrt f.\nAnswer: 8*f**3 + 25401*f**2 + 12*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 + 314 + 1 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -96. Suppose p - 149 = -5*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 4*n**3 + 4*n**3 + 2 + 4*n**3. Suppose 2 = -4*y + 5*y, -5*u = 3*y - 6. What is the units digit of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 1. Let c(w) be the first derivative of 7*w**2\/2 + 2*w + 18. Give -4*c(v) + 5*q(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1530 - 1553. Which is the biggest value? (a) -2\/9 (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 331, 1054, 2461, 4780?\nAnswer: 8239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -2. Let v be u - 1 - (-20)\/(-4). Let l = 6 + -9. What is the second biggest value in v, 2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 0*v**3 + 3*v**3)*(v + 3 - 3) + 8*v**4 - 7*v**4 - 45 - 2.\nAnswer: -v**4 - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2. Let v(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 1\/3*a**4 + 7*a. Determine v(s(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582527.\nAnswer: 5582527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425986 is divided by 53248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/10 - ((-453666)\/210 - 10\/35). Do 2158 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 967?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*y - 17, 2*y + 6 = -3*g - 1. Which is the second smallest value? (a) 8 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/504 - c**5\/20 + c**4\/24 - c**2. Let s(f) be the second derivative of i(f). Differentiate s(w) wrt w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208)*1 + -1) - (2*(sqrt(208)*-1 - sqrt(208)) - sqrt(208)))**2.\nAnswer: 40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359183153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244976324?\nAnswer: 2, 17, 3602593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (4 - -1))*-1. Let a = -18 - -14. Sort g, a, 5 in descending order.\nAnswer: 5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/((v\/v**(-7\/3))\/v))\/v)\/v)**(-25)\/(v**16*v**(-3\/14)) assuming v is positive.\nAnswer: v**(1787\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 1. Let s(f) = -121*f + 19*f + 52*f + 49*f. Calculate -2*b(i) - 3*s(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.583, 4, -0.0969, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 0)**2*3 - (-3*(sqrt(147) + -1) - sqrt(147))) + 0.\nAnswer: 28*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1202918094 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -101223151?\nAnswer: -101223150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2756 and -95\/754?\nAnswer: 79924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 56. Let k(w) = -3*w - 56. What is -2*g(c) + 3*k(c)?\nAnswer: -c - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057447506 to four dps.\nAnswer: -0.0574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(4400) + 1))**2 + 2*(-1 + sqrt(4400))**2 + -2*((sqrt(4400) + 1 + sqrt(4400))*3)**2 + 0.\nAnswer: -290412 - 1360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-50) + (-3680)\/(-4000). Calculate the highest common divisor of 25 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -47*c - 26. Let f(z) = -28*z - 13. Let g(i) = -5*f(i) + 3*t(i). Suppose 2*l = 13 - 39. Give g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/5 (b) 5.6 (c) 13 (d) 2\/19 (e) 4 (f) -580\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 2)*-43*(-95)\/76. Solve -3*g - 209 = -w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13551524 is divided by 8615.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/4*(-692)\/(-1384).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 228, 775, 1842, 3603, 6232, 9903, 14790?\n\"Answer: 29*x**3 - x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, k: 3, a: 1}. Give prob of picking 1 y and 1 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 836325 (base 9) to base 12\nAnswer: 1bb54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (26\/(-52))\/((-90)\/4) and -127\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1\/5, -8 in decreasing order.\nAnswer: 4, 1, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1885, 0.02, -4 in increasing order.\nAnswer: -4, 0.02, 1885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 6*d. Let u(o) = 3*o - 5. Let b be u(3). Let w(y) = -y**2 + 2*y + 3. Let t be w(b). Let p(g) = g**2 + g. What is t*p(i) + h(i)?\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*f + 20 = -2*f, 3*f + 14 = 4*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6232.817 days in microseconds?\nAnswer: 538515388800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019675 to five decimal places.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*m - 1660, s - 936 - 2339 = -4*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 1. Let d(f) = -5*f**3 + 4*f**2 - 2*f + 5. Let g(a) = -d(a) - 2*r(a). Let n(t) = 11*t**3 - 1 - 2 - 4 - 13*t**2. What is 9*g(z) - 4*n(z)?\nAnswer: z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 12484476?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 61758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17815, 17833, 17873, 17947, 18067, 18245?\n\"Answer: 2*f**3 - f**2 + 7*f + 17807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 753267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 65992778?\nAnswer: 2243754452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208824, 835171, 1879040, 3340431, 5219344, 7515779, 10229736?\n\"Answer: 208761*l**2 + 64*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.3. Is d at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**6\/25 + 61*l**5\/25 - 169*l**4\/30 - 8*l**3\/3 + 84*l**2\/5 + 2*l + 71. Let y(x) = 0. What is x?\nAnswer: -42, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57 - -2cc?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 3*v**3 - 306344*v**2 + 19782029*v wrt v.\nAnswer: -12*v**2 - 18*v - 612688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 divided by -3?\nAnswer: -241\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/9, -0.5, 4, -2\/3, 3 in increasing order.\nAnswer: -14\/9, -2\/3, -0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 5*t, -4*p = t + 5 - 15. Let o(x) = -x - 1. Let v be o(-5). Suppose -2*f - p*j = -2, -v*f + 3 = 2*j + 1. Solve -i + 5 - 4 = f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 212646 - -4?\nAnswer: 21264a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 566, 839, 1096, 1331, 1538?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1082406, 2164801, 3247196, 4329591?\n\"Answer: 1082395*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {z: 10, s: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(36) + sqrt(36))\/sqrt(12) + (sqrt(3) - sqrt(27)\/sqrt(9))*4)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/246 and 19\/402.\nAnswer: 16482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in -4, 0.5, -3, -385, -65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 107. Let k(i) = 10*i - 40. Let h be 3*((-3)\/(-2) + 40\/48). Let c be k(h). Calculate the greatest common factor of c and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 14. Put -2\/11, -0.5, j in decreasing order.\nAnswer: -2\/11, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Let v be 26\/10 - l\/(-10). Let m = 3\/131 - 277\/655. What is the smallest value in m, 5, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 6*(-1)\/2. Suppose s*x - x = 4. Solve -x*k + 3*j = 12, k - 3*k = -2*j + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 671*u**2\/2 + 1339*u\/2 + 669\/2.\nAnswer: (u + 1)**2*(u + 669)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 791*x - 8659. Calculate j(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 6. Let h be ((-4)\/((-24)\/51) + -2)*-16. Let y = 104 + h. What is the third smallest value in -1, 0.3, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1229 less than -0.06?\nAnswer: 0.0629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**4\/4 + 31*o**3\/6 - 6*o**2. Let l(f) = 201*f**2 - 807*f**2 + 205*f**2 + 204*f**2 + 199*f**2. Calculate l(n(v)).\nAnswer: 72*v**2 + 744*v + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 10 - 28 = 7. Solve -3*g - w*a - 13 + 10 = 0, -4*a = g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d - 19*d + 54 + 12 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*s - 202 = 0, 3*s + 118 = 3*j + s. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(168)\/sqrt(6)) - ((-1*sqrt(704) - sqrt(704))*-3)**2.\nAnswer: -25344 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i. Let o(m) be the first derivative of -5*m**3 - 216. What is o(c(d))?\nAnswer: -135*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*p - 182 + 204 = -4*m, -10 = 5*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.498071 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -107. Let g(h) = 0*h - 7*h - u*h + 2*h + 26. What is the units digit of g(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -14643630?\nAnswer: 5857452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29093 is divided by 2154.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:40 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -62.84. What is the second biggest value in o, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 503 + -498. Let b be 9 - (0\/3)\/(-2). Let i(l) = l + b - 9. Let j(x) = -x. Calculate t*i(a) + 4*j(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70 - 1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -4118437?\nAnswer: 89\/4118437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5 - 6*j + j**3 - 3*j**2 - 1 + 1. Let y be q(4). Let n = 4 + y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7988570773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 60 - 7*f + 2*f**3 - 4*f**3.\nAnswer: -2*f**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 19*u - 14*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 968823127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/24 + 7*u**5\/20 - 11*u**4\/24 + 3125*u**3\/3 - 2863*u**2. What is the derivative of m(g) wrt g?\nAnswer: -15*g**2 + 42*g - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a + 335136 = 335766 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Differentiate 4 - 5*g**2 + 3 - t wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -55.\nAnswer: -102\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -86581, -86579, -86579, -86581?\n\"Answer: -w**2 + 5*w - 86585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 981940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 137*o**2 + 2456. Let j(x) = -x. What is j(h(p))?\nAnswer: -274*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1488676, 2977363, 4466050, 5954737?\n\"Answer: 1488687*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161931, 323799, 485667, 647535, 809403, 971271?\nAnswer: 1133139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21507 and 856?\nAnswer: 172056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.2 - -6. Let o = 617 + -654. What is the closest to 0 in -2, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eelleeeeeeeeeeeeeee. What is prob of sequence lele?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/44*(-10140)\/(-2 - 0)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21119999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 - 7*x + 5. Calculate g(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1579 divided by 62.\nAnswer: -1579\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 194*y - 434. Give o(-63).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6285 and 1200?\nAnswer: 502800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 25*s - 193*s + 39.\nAnswer: -218*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 760884586?\nAnswer: 760884586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i + 12*i - 24*i + 0 + i + 0 + (i - 3*i + i)*(-1 - 5 + 5) - 3*i + 6*i - i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyze when four letters picked without replacement from eyywzyzyzzyzzzmzezzz.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 8293 = -11*w. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or 1\/498?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-438 - -433) + (0 - -17 - (-4 + 8)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**2 - v. Let d(r) be the third derivative of -r**4\/24 - 5*r**3\/6 + 11*r**2. Calculate 5*c(f) - 2*d(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23111, -46223, -69337, -92453, -115571, -138691?\nAnswer: -161813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.3043ml in litres?\nAnswer: 0.0753043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370778.\nAnswer: 2, 67, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*m + 288 = -441*m. Solve m*b + 24 = 16*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 122*g**2 + 2*g - 66*g**2 - 5 - 55*g**2. Let c be r(2). Factor 1\/2 + 0*w**c + 0*w - w**2 + 1\/2*w**4.\nAnswer: (w - 1)**2*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*h - 8221 = -13*h - 121. Let f be (30\/45)\/((-1)\/(-6)). What is the highest common divisor of h and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)*g**(-2\/11))**(-13)\/((g**(-1)\/g**3)\/(g\/((g\/g**(2\/13))\/g)*g**(-2\/9))) assuming g is positive.\nAnswer: g**(193075\/21879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17130.1 + -17130. Are -4.93 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2833982 and 85\/2.\nAnswer: 2833982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 41 + -18 - (3 - 5 - 5)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*276\/(36\/9). Sort 4, 1, s, 2 in descending order.\nAnswer: s, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/4))**23)**(-17))**(-1\/53) assuming x is positive.\nAnswer: x**(-1173\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v*v\/(v\/v**(-3\/7)))**44\/((v**0)**(-5\/11)\/((v*v**(-1))\/v**7)) assuming v is positive.\nAnswer: v**(-1413\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 8*t + 2018590 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 254, 598, 1088, 1724, 2506?\nAnswer: 3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**5\/35 - s**4\/7 - 22*s**3\/21 + 12*s**2\/7 + 4325. Factor c(m).\nAnswer: 2*m*(m - 4)*(m - 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -442*q - 3997. Determine l(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 820*f**3*s - 5*f**3 + 2*f**2*s + 183*f**2 - 25*f*s - f - 4047*s wrt f.\nAnswer: 4920*f*s - 30*f + 4*s + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.17218? (a) -2 (b) -1 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o = 75*o + 3*y - 26, 2*o + 8 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let h be b(-5). Suppose 5*y + 4 = -h*j - 9, 4*y + 4*j = -12. What is the units digit of ((-10)\/25)\/y + (-786)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 825 - 2476\/3. Which is the closest to i? (a) 1\/9 (b) 0.7 (c) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 102.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.35 + 0.448. Let l = 0.092 + p. Let t = -0.89142 + l. What is t rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f. Let x(k) be the third derivative of k**4\/8 - 2*k**2. Determine x(j(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -2*k - i - 36, 8 = -4*k + i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 3*h**2 - 3*h**2)*(4*h - 6*h + 13*h)*(-3 - 1 + 2 + 3*h).\nAnswer: -99*h**5 + 66*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1890 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 9*r - 17. Let g be d(6). Let t = -4 - -7. Suppose 0*u + 2*v - 12 = -u, -t*u = -3*v + 9. Is g at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and 139\/1299550.\nAnswer: 3898650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 14534.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, 2, -1\/6, -2\/101.\nAnswer: -2\/9, -1\/6, -2\/101, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/5 + 7)*60\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/3129 and -46\/525?\nAnswer: 78225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyettyee. Give prob of sequence ye.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 20. Let k = 45 - 23. Calculate the remainder when k is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 - 9*p + 52. Let v be t(13). What is the highest common divisor of 73 and v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*c**3*f**4 + 9*c**3 + 10157*c**2*f**5 + 91*c**2 + 97*f**2 + 1 wrt f.\nAnswer: 3456*c**3*f + 609420*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 + 62 - 62)*(0 - p**2 + 0) + 0*p**4 + 5*p**4 - 6*p**4 - 4 + 4 + p**4.\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.3. Let q = y + -0.7. Let n = 2312 - 2314. Which is the second biggest value? (a) n (b) q (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119 - 3*g - 248 + 126)*(-g**2 + g**2 - g**2).\nAnswer: 3*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8122 + 0.1878. Sort 118, -0.5, u.\nAnswer: -0.5, u, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 11*z**2 - 10*z. Let d be a(10). Let u = -92 + 90.73. Let x = 3.73 - u. What is the second biggest value in -4, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f - 4*f - f + 4*f + 321*f**2 + 2. Suppose -5*m + 46 = 61. Is l(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k\/(k\/(k*k**7)))\/k*k*k\/k**(-9)*k)**(-24) assuming k is positive.\nAnswer: k**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*x = -16, 0*c + 4*x = -5*c - 16. Let g = 8 - c. Suppose -4*q + g = 4*l, -q + 5*l = 2*l - 6. Solve 7 = 4*p + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846092723 to the power of 1\/2, to the nearest integer?\nAnswer: 29088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -69563*a + 2295563. Calculate u(33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17721997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628497 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84199 divided by -84199.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 40.55452\nAnswer: -4.055452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4280*f**5*u**3 - 3*f**5*u**2 + 8*f*u**3 + 1043*f wrt f?\nAnswer: 85600*f**3*u**3 - 60*f**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7923586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c - 7\/6*c**3 - 1\/24*c**4 + 0 + 3*c**2. List the prime factors of d(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14356 - 120?\nAnswer: 14236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 153.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-88)\/1452*(-1 - -4*1). What is the closest to 5 in -3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 110*r - 1511. Determine y(-12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 2 - (0 - (-1 - -17)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 - 5*n. Let g(o) = o**2 + o. Let w(l) = -5*g(l) - y(l). Find the third derivative of w(x) wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3 + 3827396*i - 84*i**2 - 3827396*i = 0?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**4 + 455*s**3 - 15*s**2 - 1355*s + 910 = 0 for s.\nAnswer: -91, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:51 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 15*l**2 + 84*l - 836. Give r(13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 4*z**3 - 13*z**3 + 5*z**3.\nAnswer: -4*z**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2\/(-6))*-12. Suppose -3*f + 4*q + 69 = 0, -f + q = v*f - 132. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7704 = 417*r + 11*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -789770 to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3159) - (sqrt(78) + -2*sqrt(78))\/sqrt(2))\/(-1*sqrt(432)*3*-5).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 4*x - 2008 = -2100, 3*x = y + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 736467.8km in millimeters?\nAnswer: 736467800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10200133310 (base 4) to base 7\nAnswer: 13021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6322370 and 4166065?\nAnswer: 1258151630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1908 - -1900. What is the second biggest value in t, -54\/13, 3?\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 + 7*b + 5. Let l be m(-8). Let p = 21 - l. Solve -p = x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2261551 and 6327.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.6 and -20.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -40*u**2 + 1786*u + 7110. Give d(-4).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 39*j**2 + 321*j + 20. Calculate n(46).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*d + 12, 3*h + d - 9 = 2. Let m(i) be the first derivative of 3\/2*i**2 + 3*i + h. Give m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.89 and -0.21?\nAnswer: -0.6069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -328*c + 7349. Let v be r(22). Solve 33*l + v = 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 8) + (-9 - (-16 + 9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = -3*b, -5*b = -6*t + 2*t - 42. Let z = t + 0. Let m(p) = -3*p - 8. Does 14 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 894 + 748. Suppose 3*r - 4*x = t, 2*x = 3*r - 1155 + 344. Suppose 0*u + 3*u = r. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/1928 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 8:48 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3133 - 346 - 36)*(-3*c**2 + c**2 + c**2).\nAnswer: 3515*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 + 2*q**2 + (-2*q**2 + 0*q**2 + 4*q**2)*(0 - 1 - 1) + 10*q**2 + 34 - 34.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -92\/5. Let g = 506 - 502. Is j less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 34*g**2 + 218*g - 465. Calculate k(-25).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22167217*g**2 + 22167214*g**2 + 64*g - 64*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-207)\/(-12))\/23 - 143\/4) + (-2 - 2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = 5*o. Suppose 2*v = -4*k - 4, -4*v - 5 = -3*k - 19. Let q be (v - (-2)\/(-2)) + -5. Sort o, -2, q in decreasing order.\nAnswer: -2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12470*v**3 - 19391*v**3 + 7214*v**3.\nAnswer: -24647*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 10*x**2 - 16*x - 39. Let s be g(-9). Suppose 1648 + 1952 = s*d. What is the lowest common multiple of d and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 19*g**2 - 42 + 13 + 349*g**2 + 11 to w + d*g + b*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9530*n**4 + 39*n**3 + 26*n + 6111. Let r(j) = -2383*j**4 - 9*j**3 - 6*j - 1528. Let c(y) = 6*h(y) + 26*r(y). Differentiate c(a) wrt a.\nAnswer: -19112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/15)\/((-4)\/30). Let n = -4 - k. What is the third derivative of 0*p**5 - n*p**5 + 4*p**2 - 4*p**5 wrt p?\nAnswer: -600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g. Let p(w) = 5*w**2 + 5*w + 1. Let d(k) = k - 2. Let i be d(1). What is i*p(q) + 4*b(q)?\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 10*f - 81 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 46. Let r be w(25). Let h = r + 85. Let b = -27 + 49. What is the smallest common multiple of b and h?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14428 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b - 6. Let o be w(-6). Suppose 4*a = 4 + o. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (86\/(-3) - -2)*-3. Let k = 162 + 388. Suppose k = p + h. What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20753?\nAnswer: 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-6)\/b)\/(b**(-1\/2)\/b*b))\/((b\/(b*b**2))\/b**(2\/11)))\/((b**0)**42*(b**1*b)**39) assuming b is positive.\nAnswer: b**(-1811\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*j + 9*j + 26*j - 23*j as q*j + z and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.496 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 1668, 4181, 7814, 12567?\nAnswer: 18440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108822231*q**2*t - 2*q**2 + 7969048 with respect to t.\nAnswer: -108822231*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4988 = 4*b + 5007, 0 = -7*b + 5*b - 2*q - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-90)*1*3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**9\/15120 - p**8\/1680 - 27*p**4\/8 - 39*p**2 - 3. Let r(h) be the second derivative of k(h). Suppose r(n) = 0. Calculate n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 4. Let b be a(-3). Let c = -0.6 - -2.6. Let t = c + -1.9. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.4 + 71.1773857.\nAnswer: 61.7773857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(5 - 5 - 7)*(h**2 + 4 - 4).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 4097387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-11 - ((-8 - -17) + -35)) + -5) - 40?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.23 + -6.53. Let g = 13.05 - 13. Let i = -0.15 + g. Sort i, -4, a in decreasing order.\nAnswer: i, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3363 - 4.3.\nAnswer: -3367.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 9*l**2 - 5*l + 11. Is z(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 2. Let o be v(2). Solve t - 4*t - 9 = o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152256 and 61122?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52740954*a**2 - 2763*a - 7390 wrt a.\nAnswer: -105481908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lexa when four letters picked without replacement from {l: 1, x: 2, e: 5, j: 1, a: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18112\/104 + (-4)\/26. Let s be 1\/2 - (-399)\/14. Calculate the highest common divisor of b and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbq when three letters picked without replacement from {q: 5, d: 5, p: 6, b: 1}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, -1\/1176, -1875?\nAnswer: -1875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13403873.\nAnswer: 7, 19, 31, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -8, -1, 8?\n\"Answer: i**2 + 2*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Solve 0 = -5*f + 2*k, 0*f + t*k + 16 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73976699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 1. Let o(i) be the second derivative of i**t + 1\/2*i**4 - 1\/10*i**5 + 2*i - i**3 + 0. Factor o(w).\nAnswer: -2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4138158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 2. Let n be h(0). Let a be (-2)\/(n*(-1)\/3). Suppose 1 - 19 = -a*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5\/2267, -5, 2, -1\/8, 0.3.\nAnswer: -5, -1\/8, -5\/2267, 0.3, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571021?\nAnswer: 3, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 349*q**4\/4 - q**3 + 103*q**2 + 270. What is the second derivative of c(z) wrt z?\nAnswer: 2094*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i + 5. Let b be ((-5)\/(-2))\/((-45)\/(-108)). Let z(q) = -q - 6 + b*q + 4*q - q. Determine -7*k(d) - 6*z(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0 + (-1 + 3 - 3)*(1 + 0 - 7))*(-1 - 1 + 1)*(-13*f**2 + 13*f**2 + 8*f**3) as j*f + k + z*f**3 + d*f**2 and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c*c**(-1\/9))**(1\/7))**(15\/4) assuming c is positive.\nAnswer: c**(-205\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose z - 3 = -k. Suppose -k*f - 5*v = -f - 30, 3*f - 4*v = 45. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321.9828 millilitres to litres.\nAnswer: 0.3219828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 25824.\nAnswer: 180768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 8*z**2 - 13*z - 20. Let a be s(-7). Suppose 0 = -a*c + 12*c + 14090. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 10*t**2 + 10*t + 5. Let q be -4*((-1)\/4 + -2). Let r be i(q). Calculate the greatest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-84))\/((-1)\/4)*(-2954)\/633.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132344506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -83, -5, 0, 96 in ascending order.\nAnswer: -83, -5, 0, 5, 15, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/720)\/((-2)\/20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.1 + -9. Put 0, y, -2 in decreasing order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -17201\/122. Is 0 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-10) + 6\/4. Which is bigger: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -75.026. Let q = a - -3.726. What is the second biggest value in 0, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-27))\/(-2))\/((-6)\/9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 9 in ascending order.\nAnswer: 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - -3)*(-20)\/6. Suppose 4*l - 3*u - 11 = 0, 3*l + 3*u + 6 = c. Find the second derivative of -4*z + z + l*z - z**3 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1654, -3, 1, 8 in decreasing order.\nAnswer: 8, 3, 2, 1, -3, -1654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/(-6)*(-121)\/((-6292)\/39)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60.6 + -60.4. Let w = -16 + 15.6. Which is the closest to t? (a) -2\/9 (b) -3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*s = 19, 0 = 3*m - 0*m - 2*s - 13. Let z be (4 - m)\/(-1 - -2). Factor -1\/2*f**4 + 5\/2*f**3 + 4 - z*f**2 - 2*f.\nAnswer: -(f - 2)**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxx when four letters picked without replacement from {x: 6, l: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - v - 2. Suppose -5*b + 23 = -17. Suppose -3*q + q + b = 0. What is l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n - 732. What is y(-10)?\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1395 divided by -5\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:31 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2534670441 and -0.1.\nAnswer: 253467044.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:49 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2302031?\nAnswer: 2302030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + s - 6*s = 50, 2*h + 2*s - 16 = 0. Suppose 0 = 3*g + 5*p - 27, 2*g = 2*p - p + 5. Calculate the remainder when h + -1 + 2\/1 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6155b2 (base 12) to base 9.\nAnswer: -2771418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -58 - 46 + 130 + 2*x. Determine j(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 36. Let u be q(19). Let w = u + -3. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 22.78.\nAnswer: -774.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/9, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*l = 54, -104 = -4*j - l - 35. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from fffffzlfffrzff?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0668 rounded to two dps?\nAnswer: -6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.24\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 244785317 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:45 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352*n**2 - 331*n**2 + 320*n**2 - 1442*n**2.\nAnswer: -2805*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c - 6. Let j(f) = -221*f - 119. Calculate -6*j(h) + 119*y(h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 6) + 49 + -48?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1671\/((-837171)\/(-5010)))\/((25\/6)\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -o + 4, r + 2*r - 3 = 5*o. Solve 0 = -5*x + x - 8, -2*b - 2*x - 8 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-8)\/(-84) + (-3871)\/343.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/18 - 220\/36\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36892 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 702291 in 40, 0, -1\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ec6 + -5?\nAnswer: -2ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 92377722.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/182 and -29\/161?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 4, g: 2}. What is prob of picking 3 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 1, p: 5, o: 3}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3737 * -319\nAnswer: 1192103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, d: 4}. What is prob of picking 4 d?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 4, m: 8}. Give prob of picking 1 z and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -459*z - 19765. Give o(-43).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 460425*l**4 + 516824 wrt l?\nAnswer: 1841700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.05 times -10391\nAnswer: 42083.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1352144, 2704272, 4056390, 5408498, 6760596?\nAnswer: 8112684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464287754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*w + 79. Let t = w - 29. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1078700 divided by 1150\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 7*z + 162732. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r**2 + r**2 + 8*r**2 - r**3 - 28 - 10*r**2 + 20*r + 7*r**2. Determine k(20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110001101010100 (base 2) to base 9.\nAnswer: -1077014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*u - 40 - 21 = 0, -4*j + 5*u + 128 = 0. Suppose 22*t - j*t + 65 = 0. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*q**5 + 4977*q**4 - 10867*q**3 - 33533*q**2 - 14622*q + 3080 = 0. Calculate q.\nAnswer: -385, -1, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27847323 divided by -9.\nAnswer: 3094147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 0*x = -2*x - 95. Solve k - 2*d = x*k + 22, 2*k - 2*d + 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(208)*1 + sqrt(52) + sqrt(468)*-6)\/(sqrt(144) - (sqrt(4) - (sqrt(4) - sqrt(144)\/sqrt(4) - sqrt(4)))))**2.\nAnswer: -2925\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13503791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 2*d**3 + d**3)*(-5*d**2 + d**2 + 5*d**2) - 5*d**5 + 4*d**5 + 4*d**5.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*o - 10, 0*p + 3*p + o - 2 = 0. Suppose 3 = -2*i - p. Let s be ((1\/(-2))\/1)\/i. What is the closest to -1\/4 in -4, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45744, 91490, 137236, 182982?\n\"Answer: 45746*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*z + 15. Let h = z + -5. What is the highest common factor of 14 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.2239 + -0.2161. What is i rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 0*b**3 - 2*b**3 + (-1 - 2*b + 1)*(b**2 - 3*b**2 + b**2) - 2*b + b**2 - 2*b**3 - b**2.\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 165 = -3*u, -u - 70 = -4*n + 97. Calculate the remainder when n is divided by 11*(2 + 2\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44\/17 + 713\/85. Which is greater: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1056\/2079 + (-2)\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6220650 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*d**4 + 432860*d + 62350206.\nAnswer: -92*d**3 + 432860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 498043333 less than 498043332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143574 - 37*b**2 + 18*b**2 + 21*b**2 - 143574.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 1\/5, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let q(g) = 2*g + 0*g + 4*g. Let k(s) = -q(s) + 4*v(s). Let u(i) = -2*i**2 - 4 + 0*i**2 + 4. What is u(k(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 4. Let w(l) = -1. Let k(h) = d(h) + 3*w(h). Let z be k(-2). Let s = -6 - z. Solve 4*a - 4 + 0 = -q, 3*a - 3 = -s*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -14321?\nAnswer: 14322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:32 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946976 - 1946976 + 49*o.\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3030 divided by 27\nAnswer: -1010\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) - (-1*sqrt(350) + sqrt(350))) + sqrt(14) + sqrt(112)\/(sqrt(24)\/sqrt(3)))\/(sqrt(28)\/(sqrt(64)*5 + sqrt(64))).\nAnswer: 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/5, -1, 3, 2753 in descending order.\nAnswer: 2753, 3, 2\/13, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 45\/874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = -3. Let f be (-2)\/((-8)\/4)*(-45)\/(-3). Let w = -11 + f. Calculate the highest common divisor of t and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 + 820*o**3 - 29055*o**2 + 26620*o + 56500 = 0?\nAnswer: -1, 2, 50, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxxxxxoqqxqooxoqixj. What is prob of sequence qjo?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - 4) + (15 - 16). Let o(b) be the first derivative of -7\/2*b**2 + u*b + 10. Find the first derivative of o(g) wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*(v*v**(-2))\/v)**28 assuming v is positive.\nAnswer: v**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from cazakukucuau.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)*j*j**(-8))**(9\/2)*(j\/j**(-2\/9))**(3\/11)*j\/j**(-6)*j**(-2\/15)\/j assuming j is positive.\nAnswer: j**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - s + 6*s - 5891511*s**3.\nAnswer: -5891511*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183603, 182741, 181877, 181011, 180143?\nAnswer: 179273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-21)*x*x*x**(1\/5))\/((x\/(x**(2\/13)*x*x*x))\/(x*x**24*x)) assuming x is positive.\nAnswer: x**(3403\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5805 - -5891. Calculate the remainder when 854 is divided by i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j + 292183148 - 292183148.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*x + 290*x - 155 = 0. Let p(o) be the third derivative of 0*o**3 + 0*o**x - 2*o**2 + 1\/8*o**4 + 0 + 0*o - 1\/40*o**6. What is h in p(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*o + 86, -4*o + o + 362 = 5*n. Let i = n - 34. Suppose 0 = -3*b - i + 162. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - 4*u - 24 = -18*s, 6 = -5*s + 3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h + 2. Let d be b(-5). Let r = -35 + d. Calculate the greatest common divisor of 136 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)\/(sqrt(11) + sqrt(176)))\/sqrt(11) + (1 + sqrt(5))*6*-2)**2.\nAnswer: 1416*sqrt(5)\/5 + 4201\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 0.5, -3 in increasing order.\nAnswer: -3, 0, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141758?\nAnswer: 2, 70879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose 0 = -y + 3, l*y - 2*y - 62 = -4*v. Let c be 6\/18*(v + 1). Put 0, c, 4 in decreasing order.\nAnswer: c, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158338 - -86845.\nAnswer: -71493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 3. Let i(x) = x - 10. Give -i(f) - 4*u(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 83.1. Let c = 0.0592 - 0.1592. Sort 2, f, c, -27 in decreasing order.\nAnswer: 2, f, c, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-226 + 226 - 459*j)*(4 - 1 - 4 + (-1 - 1 + 0)*(3 - 1 + 0)).\nAnswer: 2295*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(1\/3)\/i)\/i))\/i**13*i*i**10*(i**7\/i)\/i assuming i is positive.\nAnswer: i**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:33 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(45) + -3) + 0 - (2*sqrt(245) + sqrt(35)\/(sqrt(42)\/sqrt(6)))) + 4.\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let r(q) be the third derivative of -q**2 + 1\/24*q**4 + 0*q + 0 + 1\/3*q**m. Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182697630 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: Simplify (i**(1\/4)*i)**(-2\/23)*(i*(i**(-2\/5)\/i)\/i)\/i**(-1)*((i\/i**(-2))\/(i*i**5\/i))**40 assuming i is positive.\nAnswer: i**(-18517\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 + (16 - 10))*(-7754)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 > 3778.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1111011010110111 (base 2) to base 14\nAnswer: 19035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352227 is divided by 76?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 5. Let m be b(-3). Let p = -6 + m. Let c be 6\/p + (-33)\/(-2). Solve -f + c = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + 0.44. Let l = -0.78 + p. Let q = l - -0.27917. Round q to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/360 - n**5\/120 + 2*n**3\/3 - 17*n**2. Let l(v) be the first derivative of o(v). Let l(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfy when three letters picked without replacement from {k: 1, n: 7, y: 2, f: 3, v: 5}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5 + 18*f**3 - 16*f**3 - 2*f**2 + 0 - 2. What are the prime factors of z(3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 14, -10, -36, -64, -94?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 11. Let q be (-2 - -8) + (b - 1). Suppose 0 = f + 2*z + q, 8*f + 3*z + 2 = 4*f. Solve -21 = -4*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*g - 32080 = -182*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18379609\/329 + -55865. Let r = x + -28815\/2632. Find the common denominator of r and 97\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 4 (c) -2910373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -20) + 23 - (-1 + -54 + 3)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100989, 100982, 100975?\nAnswer: 100968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2 + 3 - 2). Let j(x) = -x**3 + x**2 + 3. Let t be j(s). Suppose 7 = t*z - 8. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225*f**2 + 3 - 212*f - 2*f**3 - 1257*f**2 + 2486*f**2 as h + m*f**2 + k*f**3 + i*f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*v + 38, -2*v = -v + 3. Suppose -3*u - 2*u - t = 2*s, 5*s = -5*u - 50. Let d = 10 + u. Is 1\/42 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -365 or -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 1. Let p(n) = 5*n**2 - 376. Determine p(g(m)).\nAnswer: 45*m**2 - 30*m - 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 + 17*k**2 + 22*k - 3.\nAnswer: -(k - 3)*(k + 1)*(8*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -291588*j**5 + 257936*j**4 + 615548*j**3 + 68568*j**2 + 2576*j + 32 = 0.\nAnswer: -1, -2\/47, -1\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -27661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8118027?\nAnswer: 3, 17, 97, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-3)\/(-7) + (-186)\/42). Suppose -o + 4*o = 9. Solve 2*g - 5 + o = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 7. Let h be z(-13). Suppose 3*u + 3 - h = 0. Is 1\/6 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 23, 57, 105, 167?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 o when four letters picked without replacement from ggssoscgocg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/4*48\/84. Solve -2*t - g + 17 = p*g, -4*t - g + 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 204 + 208 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1275795718 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from lkrraarfgrag.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3114, 3118, 3122, 3126, 3130, 3134?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 41. Suppose -3*x + n*w + 4 = -0, x + 2*w - 5 = 0. What is the lowest common multiple of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10205493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588*z**5 + 1351*z**4 + 2*z**3 + 64534045*z**2.\nAnswer: -35280*z**2 + 32424*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - z = -0*l - 1, 2*z = 3*l - 23. Suppose 3*k - 2*m = m - 389991, -5*m = l*k + 650015. What is k rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((-5)\/(-3) - 1). Suppose 4*f - d*f = -8. Let q be 4\/(-12) + f\/6. Solve -4*g - 8 = -q*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112432 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 11*u - 43*u**2 - 7*u + 0*u.\nAnswer: -43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(1\/7)\/u*u*u*u)\/u))\/u**8)**15)**(-3\/5) assuming u is positive.\nAnswer: u**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 26.00012. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12735*l + l**3 - 12735*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.6 less than 5465973.25?\nAnswer: 5465950.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*1\/((-5)\/(-115)). Suppose -4*i = m - l, -139 = -5*m + 4*i - 0. What is the greatest common divisor of m and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -27. Let w = 7 - -13. Suppose -3*s = 4*n - 7 - 7, -5*s + w = 5*n. Solve s*o = p*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 12*u - 4. Let j(r) = -2*r**3 + 2*r**2 - 3*r + 1. What is the remainder when j(-3) is divided by o(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 10:53 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/1368363 or 1?\nAnswer: 25\/1368363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-three quarters of a century?\nAnswer: 1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 27800*z**3 + 64832976*z**2 - 51717662568*z + 2290380857388.\nAnswer: 4*(z - 2301)**3*(z - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28*5 - 7\/((-21)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 < -102673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 9*f**2 - 19*f + 7. Let b be x(-8). Let w = -152 - b. Calculate the remainder when w is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 11. Let p be s(-8). Suppose r - 2*b - 32 = 0, -3*b - p = -r + 16. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*h = 8, 0 = -c - 6*h + 2*h - 8. Solve -6*w - 5*w + 33 = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 2468422?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 + 288*z**2 - 4*z - 284. What is the least common multiple of d(-72) and 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*d**3*n*x - 143*d**3*t - d**3*x - d**2*t*x - 2*d*n*t + 10*d*n*x with respect to t.\nAnswer: -143*d**3 - d**2*x - 2*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 8. Let i be u(-5). Suppose 2*q - 22 = -4*t, 3*q - 6*t + 2*t = -i. Which is greater: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8983*l**2 + 9244*l**2 + l - l.\nAnswer: 261*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 68*j - 515. Calculate the least common multiple of 64 and b(57).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317*o - 347*o = -30197 - 47363 - 2630 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -89667911.994.\nAnswer: -89667912.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**3 - 44*x**2 + 15*x + 5. Let a(q) = -q**3 + 9*q**2 - 2*q - 1. Let k(p) = -11*a(p) - 2*b(p). Determine k(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))\/v)**(-7)\/(v*v*v**(8\/9)*v**(-3)\/v*v) assuming v is positive.\nAnswer: v**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/10)\/((-1)\/5). Let l = 603 - 602. What are the prime factors of (3 - v\/(-3))*l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p**3 + 136*p**2 - 136*p**2)*(-33*p + 18 - 18).\nAnswer: 297*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {m: 1, e: 6, t: 2, z: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 + 0 = 5*x, -3*a = x + 10. Suppose x*g - 2*n = 4, 3*g + 3*n + 29 = -n. Find the common denominator of g and -65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1887 - 1885.429. Let p = f - 0.051. Let o = p + -1.581. Round o to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1 + 0)**2 - (sqrt(13) + (sqrt(78)*-1)\/sqrt(6))) + 2*(-4 + sqrt(117)).\nAnswer: 6 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 2*q + 1. Let f be l(1). Let g = f - -3. Suppose 0*a + 14 = 5*d + a, -3*d = g*a - 14. Solve -r - 3*t + 4 = -4*t, 0 = -r - d*t - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11383, -11443, -11477, -11485?\nAnswer: -11467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z. Suppose o - 5 - 11 = z. Let p(w) = -458*w - 3094. Let t be p(-7). What is the highest common factor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 11. Let d be g(-8). Suppose -2*t = -7*t - d*t. Let f = -0.1 + 0.1. Is f at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t - 5*f + 14, -t - 3*f = -15. Solve 19*p - t = 18*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 776 and 4317276.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 2\/19, 2\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 14*d + 110. Let s be y(-19). Let f(a) = -3*a**2 + 47*a - 10. Give f(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72852 and 415169.\nAnswer: 342317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 3, d: 1, e: 3}. Give prob of picking 1 d and 1 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.14 - 2559.14. Let c = h + 2514.99998147. What is c rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 + 11*t + 10. What is f(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + -0.2. Let f be 1\/(-3)*((-36)\/2)\/(-3). Let s = 1.22 + -1.32. Sort a, f, s in increasing order.\nAnswer: f, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688184.\nAnswer: 2, 17, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 - 9*x + 3. Let q be i(-4). Suppose -24 = -3*g + 2*m, -m - q - 1 = -g. Solve -g + 0 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/22)\/((6216\/(-1232))\/(-37))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.33 - 0.67. What is the closest to q in -0.9, -0.1, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816*v - 538952 + 216280 = 0 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 1464138?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22026273323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 221. Solve -r + 1 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 36284\nAnswer: -616828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 21*s**2 - 12*s + 14. Let k be n(11). Let q be ((-4)\/k)\/(8\/(-96)). What is the greatest common factor of q and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.157977 to one decimal place.\nAnswer: -112.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 975 = -5*u + 14*u. Which is bigger: u or -73?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 59. Let a be q(-9). Solve a*u + 4 = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3))\/u)\/((u**(6\/13)\/u)\/u*u)*u*u*u**(-11)*u*u**7 assuming u is positive.\nAnswer: u**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11184 divided by 309.\nAnswer: 3728\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 841694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.22395 days in nanoseconds?\nAnswer: 5808149280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6938661 and -2.9501748?\nAnswer: 6938663.9501748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 16. Let f = q + -25. Let l(y) = -y - 2. Let v be l(-2). What is the closest to v in f, -0.4, -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 + 129. Sort 13, q, -0.4 in decreasing order.\nAnswer: 13, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 321 = 3*m, -5*z + 6*z + m - 115 = 0. Let y = 115 - z. Suppose 0 = -y*d + d + 24. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let y(z) = 18*z - 12. Let f(u) = -7*u + 5. Let p(r) = 12*f(r) + 5*y(r). Calculate p(j(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26882209 a multiple of 607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 7*a - a + 2*a**2 - a to m*a + s*a**2 + o and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + 89\/(69420\/(-50640)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**5 + 0*x**3 - 12\/5*x**6 - 28*x + 0*x**4 + 11*x**2 + 0. Differentiate t(b) wrt b.\nAnswer: -288*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m. Let z be s(2). Suppose -2*i + 2*v = 0, 4*i - z = -v + 3. Sort i, 1, -4.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2660*b**4 - 2*b**2 - 38992*b wrt b?\nAnswer: -31920*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**4 + 50*b**3 - 58*b**2 wrt b.\nAnswer: -120*b + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-2))\/((-5)\/2). Let g be 192\/90 + (-1)\/3. Let o = g - l. Which is the closest to -1? (a) -3 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:30 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let q(k) be the second derivative of -6*k**3 + 7*k**2\/2 + 26*k. Let h(s) = 33*s - 6. Let x(z) = 7*h(z) + 6*q(z). Calculate r(x(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + 7) - (-3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/700 and 87\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136595, -546388, -1229375, -2185556, -3414931?\nAnswer: -4917500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.9 + -71. Let y = 6 + -6.7. Let a = y - -2.7. Sort n, -2\/11, a in decreasing order.\nAnswer: a, n, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:17 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:28 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 2\/3 (b) -1\/10 (c) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (3 - (-9 + 2 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -75 + 49 + 1 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 1. Let r be j(-1). What is the tens digit of (21 - 13)\/(2\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 19*m**8\/28 + m**4\/6 - 5*m**3\/6 - 5*m - 9. What is the third derivative of h(f) wrt f?\nAnswer: 4560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**2 - 1. Let m(k) = -6*k + 5*k**2 + 6*k + 1. Suppose -y + 3*y + 7 = 3*z, 2*z + 2 = 0. Let p(n) = y*m(n) - 3*s(n). Factor p(v).\nAnswer: 2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2, -5*u - 18 = 3*w - 120. What is the smallest common multiple of (u\/6)\/(2\/4) and ((-4)\/3)\/(4\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*g**3*r**2 + 5*g**3*r + 64622358*g**3 + 1337*r**2 with respect to r.\nAnswer: -374*g**3*r + 5*g**3 + 2674*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -752.99491 - -753. What is q rounded to 4 dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -51*p + 768. Let t be a(15). Solve -24*l + 21*l = 4*d + 13, -5*d - 14 = t*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 115 = -4*y, y + 5*q - 7 + 2 = 0. Is 655\/(-2)*(-36)\/y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -188598, -188442, -188286, -188130, -187974?\n\"Answer: 156*t - 188754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 61*n**2 + 4*n + 4. Let u(b) = 915*b**2 + 61*b + 61. Let w(l) = 4*u(l) - 61*z(l). Let k(i) = -266 - 275 - 275 + 6*i**2 + 816. What is k(w(o))?\nAnswer: 22326*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53458 (base 11) in base 4?\nAnswer: -102332301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*l = -2*j + 1179, 4*j - 2368 = -4*l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 7:24 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/528 and -1\/6983184.\nAnswer: 76815024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 573 - 153. Let i = -405 + j. What is the least common multiple of i and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(2\/(-732)))\/((-3)\/((-60)\/(-40))). Which is greater: -16 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -231*i + 198*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 1679, 2456, 3263, 4100, 4967?\nAnswer: 5864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:41 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2363*s - 2155*s + 25 + 183 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 526388 + -25?\nAnswer: 526363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48667, 104718, 160769, 216820, 272871?\n\"Answer: 56051*i - 7384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/447 and -49\/6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 19*t**3\/3 - 323*t**2\/2 - 18*t - 2. Let o be h(9). Solve 0*w + 3*k - 26 = 4*w, 2*k = 3*w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 81*r**2 - 645*r - 19. Let t be n(8). Solve -2*x + 1 = b, 3*b = x - 5*x + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - (5 + -3)) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0375 + -3.0375. What is the smallest value in 0.07, x, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 416*w - 4177. Give h(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 0*j + 25, -4*z - 23 = 5*j. Let v be 15*((-8)\/(-45) - z\/54). Let a(p) = p**3 - 2*p**2 + 6*p - 4. List the prime factors of a(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -483 and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/11 + 488*g**2\/11 - 10950*g\/11 = 0. Calculate g.\nAnswer: 0, 25, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y - 1. Let t be -3 + 1\/y - -2. Suppose t = 3*m - m - 3*i + 2, -5*m + 5 = -5*i. Solve 23 = -2*f - 0*f - 3*h, 2*f + m*h + 33 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*j - 12*j. Solve 5*v = -j*g + 13, -2*v - 6 = -4*g - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.82371ml to litres.\nAnswer: 0.04382371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 21*m**4 + 107*m**4 - 3*m**5 + (5*m - m - 3*m)*(2*m**4 - 4*m**4 + 0*m**4).\nAnswer: -m**5 + 86*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 11*h**2 - 27*h - 14. Determine w(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/64549 and -38\/3.\nAnswer: 193647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 17 - 2*a**4 - 4*a**2 + 16 - 3*a**2 to k*a + l*a**3 + b*a**4 + w*a**2 + i and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -786105*q**3 + 11*q - 33916 wrt q?\nAnswer: -4716630*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 38*h = 0. Suppose 15*z - 13*z - 14 = h. Let x = -14 + 48. What is the remainder when x is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 534*x - 8001. What is u(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*a + 6260 = -3665 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -2\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a factor of 33318855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a + 34. Is o(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14504 (base 7) to base 4\nAnswer: -332312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 815*c - 853*c - 798 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 8303, -1, 5, -2, -54 in increasing order.\nAnswer: -54, -2, -1, 2, 4, 5, 8303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-284)\/(-11))\/1 + 20\/110. Let x = t + -25. Suppose 7*a + 7 = 14. Calculate the highest common divisor of x and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -24*i - 60. Let n(d) = d + 2. Let v(u) = -j(u) - 30*n(u). Let m(h) = 5*h**2. What is v(m(w))?\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 27*s - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/35078247?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(2160)*1) + sqrt(15))\/sqrt(5) - sqrt(24)\/(sqrt(128) - (sqrt(128) - sqrt(128)*2) - sqrt(128)).\nAnswer: -41*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3 + 16062?\nAnswer: 16073.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1782 divided by -9?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 + 15*z**2 - 76*z - 351. Give h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.6. Let a = 2.2 + q. Put a, -4, 1\/4 in ascending order.\nAnswer: -4, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, m: 4, u: 1}. What is prob of sequence mm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 401448 and 5835?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/3 - 638\/21. Let n = 1677 + -1676.5. Sort t, -1\/2, -5, n in increasing order.\nAnswer: -5, -1\/2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 7 + 2)*(c**3 + c**3 + c**3) + (c**2 + 3*c**2 - 2*c**2)*(-1 + 1 + 2*c) + 0*c**3 + c**3 + 0*c**3 in the form o*c**2 + j*c + b*c**3 + r and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 7. Give n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x - 38*x + 104 = -64*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6921*l*t**3 - 60*l*t + 5*l - t**3 + 6*t**2 - 11*t - 24 wrt t?\nAnswer: 41526*l*t - 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-5 + -10 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 17 - 21. Let v(j) be the third derivative of j**6\/120 - j**5\/6 + j**4\/8 - 5*j**3\/2 - 5*j**2. Let h be v(10). Solve m*g + h = 7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113\/10170)\/((-6)\/15)*-30.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103\/5 - -21. What is the closest to -0.3 in -3, 3\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 54*a**3 + a**2. Let t be w(1). Let y be t\/(1\/(0 - 1)). Let m = y + 109. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose 0 = g*d + 3 - 13. Suppose d = 4*q - 2. Solve -o = -q + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 5*v**3 - 2*v**3 + (5*v**2 - v**2 - 2*v**2)*(3*v + v - 2*v) to l*v**2 + y + j*v + d*v**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i\/(i*i*i**(-7)))**(-8) assuming i is positive.\nAnswer: i**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-95)*2800\/1176?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from owrricoiwwrwir?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 737 - 508. Suppose 5*k + 5*b - z - 501 = 0, 4*b - 8 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1446310 - -20?\nAnswer: 1446330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/3)\/f)\/f)\/((f\/(f**(-2)*f))\/f))**(-1\/7)*(f\/(f*f**(-7))*f**(-2\/15))**(6\/5) assuming f is positive.\nAnswer: f**(668\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1\/8, -0.1, 1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423108216 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*((5*d - 3*d - 4*d)*(1 - 1 - 2) - 1 + 1 + d - d + d + 2*d + 3 - 3 + 2*d - 3*d - 6*d - 7*d) + 3*d + 2 - 2.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o + 3. Let j be u(2). Let x = -2 - 3. Let y = 8 + x. Calculate the greatest common divisor of j and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109643 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/986 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6104\/6867)\/((-1)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6699713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66667?\nAnswer: 163, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (7\/(-9) - -3). Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 8*z + 6. Let a(t) = -3*t**3 - 29*t**2 - 23*t + 18. Let x(i) = 3*a(i) - 8*b(i). Suppose -2*q + 4 = 16. Determine x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10032 - 10026. Let q(i) = -i**2 + 2*i - 2. Let o(h) = h**3 - 2*h**2 + 3*h - 3. Give b*o(u) - 10*q(u).\nAnswer: 6*u**3 - 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 - 10*y + 7. List the prime factors of f(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 76.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((-1232)\/2156*14\/(-580)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -50\/3 + 70\/3*l + 2\/3*l**3 - 22\/3*l**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 + 3*p**5 - 3*p**5)*(1 - 2 - 1) + (130*p**2 + 82*p**2 - 318*p**2)*(-3*p**3 + p**3 + 3*p**3).\nAnswer: -102*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:23 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 10) in base 3?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388267569 or -388267568?\nAnswer: -388267569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 30 = -6*b + 5*j, -3*b - 3*j - 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 386*x**2 + 364*x - 4. Let q(m) = -4*m**3 - 766*m**2 - 727*m + 7. Let w(c) = 7*l(c) + 4*q(c). Let w(r) = 0. What is r?\nAnswer: -180, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a**2 - 15*a + 1. Let d(g) = -10*g**2 + 8*g - 1. Let f(x) = -5*d(x) - 3*s(x). Let t(q) = -q**2 + q. Give f(r) - 6*t(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 299 = 181. Suppose 5*z + 160 = 4*q, q + q + i = -3*z. Let c = -30 - z. Solve 3*v + c*v + 34 = 3*p, -v = -5*p + 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 9 = 9*z. Let o be ((-2)\/z - 16408)*325\/26. Is o\/(-35) - 4 - (-2)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2432*w - 2436*w - 2433*w + 12217*w - 2459*w - 2440*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, 4, -5, 43, -4.\nAnswer: -30, -5, -4, -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**2 - 14. Let g(p) = 5*p**2 + 7. Let o(n) = 11*g(n) + 6*z(n). Let w(t) = -4*t**2 - 6. Calculate -6*o(c) + 7*w(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77\/3 - 81. Let m = i - -56. What is the second smallest value in 1\/4, 5\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - 51\/(-9). Let j be 8\/(-5)*(-1 - 4). Suppose 4*q + r - 3*r = 20, -3*q = -z*r - j. Solve 0 = 4*p - q*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -245, -389, -537, -689?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1)\/sqrt(9) + -1.\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**4 - 10*b + 3. Let k(m) = -15*m**4 - 21*m + 7. Let y(f) = -7*c(f) + 3*k(f). What is the second derivative of y(i) wrt i?\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/115, -2\/9, 0.3, -2 in increasing order.\nAnswer: -2, -2\/9, 1\/115, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 6 + 8\/3*l**3 + 0*l**2 + 0*l. Let y(m) be the second derivative of m**4\/6 - 13*m. What is t(y(h))?\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(2\/9)\/z)*z))\/z*z)\/z**(-29)*z**(-10)*z**(-6\/5) assuming z is positive.\nAnswer: z**(721\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230592347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 259*y - 241*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2088 divided by 58\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -41767 (base 10) to base 13\nAnswer: -1601b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*k**3 - 644*k**3 + 492*k**3 + 4934*k**3 + 4327*k**3.\nAnswer: 9274*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)\/(7\/(-763)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-20))\/((-4)\/110)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:05 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27256.74 centuries in years?\nAnswer: 2725674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 6*m**2 - 3*m**2 + 4*m**2 - 515 + 0*m.\nAnswer: 7*m**2 - 3*m - 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12964?\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 208557 rounded to the nearest one thousand?\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(((-3)\/6)\/(-1)*(-57 - -55)). Let i(q) = -q**3. Let m(f) = -3*f**3 + 4*f**2 - 6*f + 3. Let p(l) = -4*i(l) + m(l). Calculate p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 26*y + 29. What is o(-26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {y: 8, m: 1, v: 4, i: 1, j: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774276 is divided by 1227.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905.\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 383*a + 4 - 69*a.\nAnswer: -452*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217 - -216. Let t(y) = -4*y**2 - 1. Let h(d) = -d**2. Determine c*t(k) + 6*h(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k**(-36)*k)))\/k*k*k**(1\/25)*k*(k**6*k)**31 assuming k is positive.\nAnswer: k**(4551\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3, 0 = 2*b + 3*n - 12 + 9 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2987288870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217802747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 858 by 12674.\nAnswer: 429\/6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -22, 11393\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) 22 (c) 20 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bmmmnzj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6332363716 and -0.053.\nAnswer: -6332363716.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 187, 176 in ascending order.\nAnswer: -0.2, 176, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -94 + 1575. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 375744*a**2 + 1185483.\nAnswer: 751488*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28815225, 115260896, 259337015, 461043582, 720380597, 1037348060, 1411945971?\nAnswer: 1844174330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -172663, -172703, -172757, -172831, -172931, -173063, -173233, -173447?\n\"Answer: -t**3 - t**2 - 30*t - 172631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**2 + 11*l - 4. Let j(x) = -9*x**2 - 2*x. Let p(n) = j(n) - y(n). Calculate p(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + 3*i)*(1080 - 2868 + 1165 + (5 - 5 - 2)*(-9 + 10 + 30)) as y*i + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 11*v - 10. Let s(n) = 2*n - 24. Let d be s(-5). Let q be 153\/d - (-10)\/(-4). Calculate w(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129356244631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 3*d**2 + 2*d + 3. Let k be f(-2). Let u be (-2)\/(-3) - (-70)\/k. Suppose -2*x + u = 2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(-52) - 828\/(-26) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqbdoeq. What is prob of picking 1 e and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 5*q + 116687 = -88548, 0 = -3*z + 3*q + 51300. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 18*l - 35. Let i be n(2). What is the greatest common divisor of 2655 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.43 or -18?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, z: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 18*o**2 + 19*o - 17. Suppose 1318 - 1199 = 7*d. What is g(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 110*j - 2. Let f(u) = 1870*u - 35. Calculate 4*f(x) - 70*w(x).\nAnswer: -220*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*p - 15 = 0, 4*p - 5*p - 12 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1021439 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11465 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 5*g + 78. Calculate the remainder when o(-5) is divided by 63.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 = -2*n. Let u(p) = 20*p - 13. What is the units digit of u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 > 293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 132 - 452 = 19*i + 1080 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/128)\/((-88)\/(-704)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1483680 divided by -5.\nAnswer: -296736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 14. Suppose -4*j + 27 = -j. Let u(f) = f - 13. Let p be u(j). Put p, 2, s in descending order.\nAnswer: 2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30157 and 18208?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124, 118, 112, 106, 100?\n\"Answer: -6*l + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let h(b) = -90*b**2 - b + 76. Give h(y(p)).\nAnswer: -810*p**4 + 3*p**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1740)\/66 - 9504\/5808.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 3*i**2 - 2*i**2 + 6*i**2 - 3*i**2 + (-4*i + 3*i - i)*(-2*i + 0*i + 0*i) - 3*i**2 + i**2 + 0*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 + 5*g - 9. Let s be t(2). Which is the smallest value? (a) -0.02 (b) s (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - (-33)\/12. Suppose g*u - 12 = 0, -3*v + u + 0 = -2. Does 14 divide (18\/5)\/(v\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 2, v: 8, c: 2}. Give prob of sequence vvyy.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from {b: 3, f: 1, o: 2, j: 1, s: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:30 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1384 and 19\/48616?\nAnswer: 8410568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 14. Let c(k) = 1 - 3 + z*k + 15*k**2 - k + 5. List the prime factors of c(-2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 + 5*n - 2. Let b be u(4). Differentiate 2*d + d**2 - 3*d**2 - b*d + 2 with respect to d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4316 + -4314. Factor 1\/3*o + 2\/9 - 1\/9*o**3 + 0*o**g.\nAnswer: -(o - 2)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (754\/(-50) + -2 - 12\/(-150))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 58. Let x be b(-27). Suppose -l + x - 3413 = 0. Round l to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 + -48)\/((-220)\/112 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 12*w - 3. Let u be q(12). Find the common denominator of 0 - (-122)\/64 - (-1 - u) and (-8)\/2 + 107\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/371 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -240727, -1\/2, 3, 9?\nAnswer: -240727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4 - 429*i**3 + 1305*i**2 - 1311*i + 438 = 0.\nAnswer: -146, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19611 = -606*g - 433*g - 1140*g. Let p = 19 + -5. Calculate the smallest common multiple of g and (-1 + -2)\/((-3)\/p).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -56*u - 7. Let x be q(-2). Let y = x + -71. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 51, 116, 217, 360, 551?\n\"Answer: u**3 + 9*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16156 times -2046?\nAnswer: 33055176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-6)\/18)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*s - 10625 = 118*s - 392*s + 1471 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let q(b) = 2*b**2. Let x be (-10)\/3 - (-2)\/6. Let d(v) be the second derivative of v**4\/2 + v. Let h(g) = x*d(g) + 8*q(g). Calculate h(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 122. Suppose -3*d = -32 - z. Suppose -3*q - 2*q = -80. What is the remainder when d is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 976023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -1, 10, 7\/78, -2 in increasing order.\nAnswer: -2, -1, 0.03, 7\/78, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - s**2)*((4 - 4 - 4*s)*(-1 - 4 + 3) + (2 - 2 + 1)*(-s + 23*s + 20*s)).\nAnswer: -50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73234\/17 bigger than 4307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22.5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6866655741947\/919698 - -9163901162\/907. Let m = w - 2637328. Let k = m + -21\/169. Calculate the common denominator of k and -63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 51*d + 3895. Calculate x(-76).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let h be -2 + 0\/(2\/2). Let i be 1\/6 + h\/12. Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399149406 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/3 - (-39)\/(-27). Let y(g) = g**2 + 8*g + 3. Let q be y(-8). Which is the closest to 0.12? (a) q (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 18 - 18)*(u**2 + 0*u**2 + 2*u**2 + (3*u + u - 5*u)*(3*u + 2*u - 6*u)) to the form a*u**3 + g*u**2 + c*u + z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**3*t + 145*k**3 + 71*k*t wrt t?\nAnswer: 3*k**3 + 71*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*x**3 - 815*x**3 - 631*x**3.\nAnswer: -1539*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 19, 24?\n\"Answer: 5*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-2)*(2 - 80\/56). Suppose -2*y - 2*y - 34511 = -5*j, 6891 = j + x*y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-80)\/24)\/(4\/(-66)). Calculate the highest common factor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.4 minus -8507822?\nAnswer: 8507791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-32)\/(-112)*(14762\/550 - 26)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139757 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -119 (b) -981 (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f + 21. Let b(s) = -4*s + 10. Calculate 7*b(o) - 3*c(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-118)\/((-12744)\/135)*(-204)\/10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/(6\/(-8)). Let y be f\/(-7) + 16\/140. Let t = 86656.7 + -86657. What is the nearest to 3 in y, t, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - o - 1. Let c(f) = 2*f**2 - 11*f + 6. Let v(y) = c(y) + 3*h(y). Is v(-9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -577*t - 30 + 74 - 44 to the form q*t + w and give q.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.1 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -2\/5 (c) 1 (d) -14 (e) 2\/52919 (f) -0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - (-370)\/45. Suppose 0 = 3*j - j + r. What is the smallest common multiple of (5 - -1) + j\/2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 230\/(-12) - (-5481)\/4698?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 9250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2508?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/16 + 7*n**3\/6 - 49*n**2\/8 + 4. Factor c(i).\nAnswer: -i*(i - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106602780 rounded to the nearest one hundred thousand?\nAnswer: -2106600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 37 = 5*k, 2*k - 5 - 17 = -3*h. Let c = -0.2 + -0.8. What is the third smallest value in k, c, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-14*a - a**3 + 14*a)*(4*a - 2*a - 7*a) as k*a + y + j*a**2 + o*a**3 + z*a**4 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82151*w**2 + 82151*w**2 - 17*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/3 - 14\/3. Let n = -4.1 + 4. What is the nearest to n in j, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45641 is divided by 3808?\nAnswer: 3753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-2)\/9*(-4 - -3). Let k = 0.1 + -0.1. Sort 2, b, k.\nAnswer: k, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73716, -73634, -73552?\n\"Answer: 82*n - 73798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/199 (b) 0.2 (c) -1\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u + 558. Calculate l(26).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/49, -2\/17, -0.4, 2.\nAnswer: -0.4, -2\/17, -3\/49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.762 - -0.4.\nAnswer: -0.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.94 + -2. Let v = o - -0.111. Round v to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acaf when four letters picked without replacement from accccacaaccfacccacac?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(726) - (sqrt(726) - (2*sqrt(726) + sqrt(726)))) + sqrt(726))\/(sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(8)\/sqrt(4)))*6))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**3 + 2*d**2 + 5*d - 2. Let v be m(3). Let u = 52662 - 52636. Calculate the highest common divisor of u and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 - 14 = 2*b + 11*j, -3*b + 1 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 648 and 912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.94491 and -5338.\nAnswer: -5339.94491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 38 = -3*s, -3*q + 6*q = -4*s + 46. Let v be ((-1)\/3)\/((-4)\/24). Solve 2 = -v*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354590 divided by 14?\nAnswer: -168185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 7*u + 4. Let t be d(-7). Let w be ((-35)\/14)\/((-2)\/t). Suppose w*h = 2*h + 9. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131551 (base 6) in base 11?\nAnswer: 90a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32793?\nAnswer: 3, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 470*v*z + 1211*v - 2*z wrt z?\nAnswer: 470*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 497 - 142. List the prime factors of g.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 1246704 + 522778 + 961598. What are the prime factors of u?\nAnswer: 2, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44891 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1 - 3) + 4\/1. Suppose 4*l - 14 - 6 = d, -5*l = -c*d - 55. Let n = 56 + d. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffhfhfhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.193 - -28.993. Let c = -28.80001763 + u. Round c to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 446, 820, 1134, 1400, 1630, 1836, 2030?\n\"Answer: 2*v**3 - 42*v**2 + 486*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/i)\/(i\/(i**(-1\/2)*i))*(i**(-3\/11)*i)\/i**31 assuming i is positive.\nAnswer: i**(-4915\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/81470 - -293289\/81470. Determine w, given that s - 3\/5*w - 3*w**2 = 0.\nAnswer: -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-136)*(4 + (1 - 3)). Let a(d) = -d**2 - 6*d - 5. Let c be a(-5). Is c at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 77*k + 265. What is c(11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 1*sqrt(143)*-6 - sqrt(143))\/(sqrt(539)*-2).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 10 = 3*z, 3*z - 3*d + 0*d + 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 3*g + 6. Let d = 22 - 25. Let t(x) = -x**2 + 2*x + 1. Let q be t(-2). Let b = q - d. Give j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/42)*c**(-19)*c*(c\/((c\/(c*c**(-2\/9)*c))\/c))**(-1\/98))**(10\/9) assuming c is positive.\nAnswer: c**(-79400\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 5*q + 4. Let g be w(4). Suppose 4*m - n = 13, -m = -n + 5*n - g. Which is the second biggest value? (a) m (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 3496.34?\nAnswer: -1398.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - s - 55 = -x, s + 42 = -3*x. Let p be 3\/(-1*(-1)\/(-4)). Are p and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 983 divide 1213829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110) + (sqrt(110) + sqrt(110)*-2 - sqrt(110)))\/sqrt(2) + -2*sqrt(55)*3)\/(-4*sqrt(44)\/sqrt(4)*3))**2*5.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -6*i - 1\/3*i**3 + 1\/2*i**2 + 0. What is y(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -420949, -420954, -420963, -420976, -420993, -421014, -421039?\n\"Answer: -2*q**2 + q - 420948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 311860 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-30) - (-2)\/10. Let z be 1\/(-3)*4*-3. Let p = -33351 + 33349. What is the second smallest value in z, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 604 = 19*q. Let i be (-1)\/2*q\/2. Suppose -i*g - r = -2*g - 18189, -5*g + 4*r = -18169. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32062 is divided by 7934.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 2*s**2 - 20*s - 8.\nAnswer: (s - 2)*(s + 2)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-3)\/27). Suppose j = 2*j. Let o(r) = r**3 + j*r**c - 3 + 4*r**3. Let n(a) = -14*a**3 + 8. Give 3*n(m) + 8*o(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1700, 1823, 1946?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*f = -1149, -4*d + 2*f + 1147 = -7*d. Let p = d - -1258. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m. Let c(a) = -4 + 3*a**2 + 8*a**2 - 14*a**2. Let q(f) = 8 - 13*f**2 - 19 + 4*f**2. Let b(z) = 11*c(z) - 4*q(z). What is x(b(s))?\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585801.\nAnswer: 3, 65089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + y - 3*y - 7, -4*t - 3*y - 19 = 0. Let r = -2.1 - -2. Let p = -0.1 - r. Which is the second biggest value? (a) p (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1572 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -896299520 plus 0.1?\nAnswer: -896299519.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 15) to base 2\nAnswer: 10111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1227 + 0.1227. Which is the third biggest value? (a) 3\/5 (b) -1.226 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*d + 7191*d - 375249 = 62739 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = q - 40, -2*q + 3*p = 2*p - 59. Suppose 2*j + 17 = -5*z, 2*z = 6*j - 4*j - 18. What is the highest common factor of q and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x**2 + 7*x - 12. Let i be n(2). Let s = 84 - -52. Calculate the highest common factor of s and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9528785.97 - -39.\nAnswer: -9528746.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010010001010 (base 2) to base 15.\nAnswer: -da63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24234.7 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**2 - 28*j**2 - 3*j + 218*j**3 - 239*j**3 - j**4 wrt j?\nAnswer: -24*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 5 - 5 + (0 - 2 - 3)*(-2*u + 0*u + 78 - 83) to the form s + l*u and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 191.02. Let j = v + 0.02. Let d = 4 + j. Is 11 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -130. Suppose 5*c + x = 2*k, 0 = -5*c - 3*k - 103 + 27. Let f = c - -15. Which is greater: f or -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.3 - 0.3. Let x = 15.9 - n. Let l = 3817 + -3816.7. Which is the nearest to x? (a) l (b) 0.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -47, -54, -43, -2, 81, 218, 421?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:21 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 7*b)*(-21 - 5*b + 21)*(-5 + 0 - 6).\nAnswer: -110*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let f(b) = -2*b + 3*b**a + 6*b - 4*b. Let t(s) = -4*s. Give t(f(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 36*j + 16. Suppose 5*x - 24 - 56 = 0. Let u(d) = 7*d + 3. Suppose -19 = 5*f - y, -5*f + 8*y - 11 = 9*y. Give f*i(r) + x*u(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 75 = -0*v. Suppose 3*r + 2*i + 7 = 0, v + 0 = -3*i. Suppose -2*f - 4 = 0, 4*f = -4*d + 3 - 11. Solve d = -3*z - 4 + r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fshhshn. Give prob of sequence ss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 221487 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 172*h. Let l(n) = 175*n**2. What is u(l(o))?\nAnswer: 30100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58d + -ae?\nAnswer: 4ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtvs. Give prob of sequence st.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x - 6*x. Suppose -5*l = -x*n + 9, l = -2*l + 2*n - 6. Suppose 3*b = l, -2*b + 8900000 = -f + 3*b. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 79. Let k = d + -45. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 141. Let o = h - -44. What is the second derivative of 20*j**2 + 10*j + 0*j + o*j wrt j?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1\/3, -5\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-1\/6)))\/h**7)**39 assuming h is positive.\nAnswer: h**(-559\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*z - 33*z = -86*z + 4100 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*w + 9*w - 4*v, 0 = -w + 3*v + 5. Solve -2 + 22 = -3*s + w*z, 4*s + 25 = 5*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3)*l*l)\/(l*(l*l\/l**1)\/l)*l\/(l**(-4)*l)*l**(1\/4) assuming l is positive.\nAnswer: l**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1200*k**2 + 92193*k**5 - 184383*k**5 + 92186*k**5 + 72*k**4 - 640*k**3 + 20*k**4.\nAnswer: -4*k**2*(k - 10)**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 4*o**2 + 12049 - 12*o**2 + 15*o**2 - 2*o**2 in the form s + d*o + f*o**2 and give s.\nAnswer: 12036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 311 - 3113\/10. Is n at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -129.9. Let x = -8 + 5. What is the nearest to -2\/23 in x, f, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Suppose -c - q = 1, c = -3*q - 9 - 2. Suppose 0 = -3*b + b - c, 799990 = u*h + 5*b. Round h to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/560 - i**7\/70 - i**6\/40 + i**3\/6 - 16*i**2. Let p(y) be the first derivative of a(y). Factor p(t).\nAnswer: -3*t**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7960872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - n**3 + 14*n**2 - 14*n**2.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 111 = -5*h - v, 0 = -4*h + 5*v + 235. Solve -h*o + 74*o = 120 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 35 = -39. Is (p*13\/6)\/((-32)\/5088) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300 = 25*q - 0*q. Let o = -41 - q. Calculate the lowest common multiple of o and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -2 - (0 - (4 - (-3 + 12)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002518656 rounded to six decimal places?\nAnswer: 0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 12 - 0. Suppose -v*l + 48 = -3*l. Let d = -383\/8 + l. What is the second smallest value in -3, 1\/46, d?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652ba (base 12) to base 4.\nAnswer: -200211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*-5*(-1 + sqrt(363)) + 0)**2*-5.\nAnswer: -45455 + 2200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 52218*j + 34843*j + 24739*j - 6 + 103203*j. Let a be f(2). Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7392267 decades to millennia.\nAnswer: 0.007392267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.735255 milligrams in micrograms?\nAnswer: 8735.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 5, y: 4, t: 1}. Give prob of picking 2 q and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 10*c + 6. Let w(v) = -v - 1. Let u(j) = -q(j) - 6*w(j). Let s be u(-3). Let n = 4 - 8. Sort 4, s, n in ascending order.\nAnswer: n, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 5*j - 1 - 2*j)*(-2*j - 3*j + 4*j)*(0 - 1 - 8).\nAnswer: 27*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - b**3 + 2*b**3 + 2*b**3 - b**3.\nAnswer: 2*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, -4, 1\/8, -0.3, 3616, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 352185373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/936*3\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45.028436 and -1766.\nAnswer: -1811.028436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-4))\/((-3)\/18). Let r be -14 + -1 - (-9 - -12). Let o = r - t. Solve o = 2*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/923050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 92 = -32. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4 - 2*z**3 + 0*z**3 - 6*z**2. Let v be s(-6). Let a = -1 + v. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.9 in 0.4, -2249, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 450865.8992 + -450540. Let l = p - 311.9. Let z = -14 + l. What is z rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44669 (base 10) to base 4\nAnswer: 22321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678160942?\nAnswer: 2, 53, 2647, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 67*n - 397. Let r be c(6). Let g(h) = h**2 + 5*h - 3. Suppose -24 = 4*w - 0*w. Let k be g(w). Solve -r = 8*j - k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let w(z) = z**2 + z. Calculate the remainder when w(1) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1131 - 1131 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -40. Calculate the lowest common multiple of 52 and p.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhqhhfqzqzz. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20581524 + -75735330.\nAnswer: -75735329.79418476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-630)\/(-21) - (-1 + 3 + 2). Suppose z - 78 = -n. Suppose 0 = -z*m + 56*m - 24. Solve s = -3*y + 7, s + m = y + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239594?\nAnswer: 2, 3, 41, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, l: 1, o: 2, p: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16116168 and 65464?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -84.57 * 0.1\nAnswer: -8.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/2035? (a) -5 (b) 0.2 (c) 1 (d) -20 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*-476607\nAnswer: 2859642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4480538?\nAnswer: 1\/2240269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 560 = -5*r, 3*z + 72 = -r - 40. Let t = r - -117. Suppose 5*i - 2*i = -6. Put t, 0, i in ascending order.\nAnswer: i, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1305, 5229, 11737, 20805, 32409, 46525, 63129, 82197?\n\"Answer: -4*z**3 + 1316*z**2 + 4*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 f when four letters picked without replacement from fffffiiyqqiqf?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183\/35 - -38\/7. Let f = -0.281 + -1.749. Let g = f - -0.03. Which is the second smallest value? (a) g (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 499446840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5 - 102*j**4 + 969*j**3 - 2670*j**2 + 1800*j = 0?\nAnswer: 0, 1, 3, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - 10. Let g be 725\/35 - 6\/k. Let r = 34 - g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, k: 5}. Give prob of picking 2 k.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Let x = 10 - y. What is the tens digit of (-4)\/x + 47\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-12) - (-2 + 0). Let s = -0.11 - 13.89. Let h = s - -9. What is the smallest value in h, 2, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 87*u**2 + 1353*u + 4065. Calculate h(-3).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvvvvbbvbiv. Give prob of sequence bi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 66\/(-18) - (8 - -2 - 6)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.611673 minutes in seconds?\nAnswer: 216.70038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-10*7\/(-560))\/((-3)\/(840\/(-110)))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 a, and 1 q when four letters picked without replacement from aavxxqeq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**2 - 7797*k + 39008. Give s(5).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**6\/150 - a**5\/50 + a**4\/60 + 4*a - 5. Let z(x) be the first derivative of v(x). Factor z(p).\nAnswer: p**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 50*g**3\/3 - 555*g**2\/2 + 55*g - 807. Determine l so that u(l) = 0.\nAnswer: 1\/10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:08 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*a = 520, 2*u + 2*a + 2*a = 196. What is the common denominator of 65\/12 and u\/(-162) - (-25)\/(-192)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + o)*(-2 + 5 - 2)*(3 + 1 - 1)*(16 + 19 + 63).\nAnswer: -882*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 + 14*l + 341 - 20*l - 700.\nAnswer: -6*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55581622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmdssssd. Give prob of sequence msd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 5*v - 3. Let m(h) be the second derivative of -h**4\/12 + 2*h**3\/3 + h**2 + 9*h + 9. Determine 2*f(u) + 3*m(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4215*r + 1007*r + 422982 for r.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from gwgwwwwww.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/281 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 619, 2311, 5131, 9079, 14155, 20359, 27691?\n\"Answer: 564*b**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 147 - 147 - 1387*c - 42*c. Let j(h) = -5*h**2. Give j(s(p)).\nAnswer: -10210205*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47609 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/158 and -41\/4.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6913765.643473 + 37392171.356536. Let a = 44305967 - x. Let r = a - 30. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c = -5*w + 60*c + 82, 0 = 2*w - 5*c - 46. Suppose 9*t = -w + 342. Let b(m) = 18*m. Calculate the lowest common multiple of b(1) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 50 = 2*f - 2*b, -118 = -4*f - b. Suppose 8*c - 3 = 173. Suppose -23 - c = -3*r. Calculate the remainder when f is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + 0*u - u)*(-u**3 - u**3 + u**3) + u**4 - 2*u**4 - 7*u**4)*(-2 + 0 - 1 + 2 + 1 - 1 + 2 - 5 + 1 + (-6 + 2 + 2)*(-2 + 3 + 0)).\nAnswer: 35*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnal when four letters picked without replacement from lnxlyaye?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 869621 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355 - 294 - 21*h + 10*h + 10*h to m*h + z and give z.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 36, 53, 70?\n\"Answer: 17*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 32 + 5*r**2 - 12*r - 1\/3*r**3. Let b be ((-2 - -11)*-2)\/(-2). Give q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 2*c - 38, 0 = r - c - 17. What is the greatest common factor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02433191 rounded to 5 decimal places?\nAnswer: -0.02433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - 26*g**3 - 7*g + 25 + 27*g**3 as a*g + z*g**3 + p + v*g**2 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*z - 11*z + 375*z to the form g*z + u and give g.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 - 2*k**5 - 3*k**5 + (-k**3 - 3*k**3 + 3*k**3)*(2*k - k - 2*k)*(19*k - 9*k + 12*k)*(-1 + 2 - 3).\nAnswer: -53*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/x**(1\/2))\/x)**(-9)*x**0*x*x\/(x**(-2\/13)*x*x))**38)**(5\/7) assuming x is positive.\nAnswer: x**(-10735\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -391, -785, -1193, -1621, -2075, -2561, -3085, -3653?\n\"Answer: -o**3 - o**2 - 384*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5760 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4*24\/(-1)*(897\/(-104))\/(-69)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 18*l = 850. Let i be 4\/(-14) + (-2799)\/(-21). Let y = i - l. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 44*u**2. Let o(a) be the first derivative of -a**2 - 91. What is v(o(z))?\nAnswer: 176*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33351049 to three decimal places.\nAnswer: -0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8379 take away 6?\nAnswer: -8.8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.1199449.\nAnswer: 0.01199449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 1 + 3*w**2 + 6.\nAnswer: 3*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -23\/1323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155*-0.4\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4543\/2310)\/(2 - 1878\/(-15)) and -83\/1696.\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.008 from 2551.\nAnswer: 2551.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*s - 5 = -0, 2*w + s = -15. Which is the closest to 1? (a) -4 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 + 0 + 1. Let m = 5 - r. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1.3, 114 in decreasing order.\nAnswer: 114, 1.3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-7 + (5 - 3) - (-335 + 319)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/3 - 1 - (-1764)\/(-98).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1 + 2 + -5). Suppose -66 = -y*u - 3*u. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2638 - 1925 + 328 = -53*n + 58 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**1)\/k)**(2\/3)\/((k\/k**(1\/2)*k)\/k)**(1\/22))**14)**(-2\/167) assuming k is positive.\nAnswer: k**(-595\/5511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 + 28*f + 20. Let m(o) = -o**3 - 4*o**2 + 29*o + 20. Let w(a) = 3*g(a) - 2*m(a). Let d be w(-7). Sort -1, -2, 1, d in ascending order.\nAnswer: d, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89\/5 - -19. Let y = 45.85 + -0.85. Let x = y + -45.5. What is the second smallest value in 0, x, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/21)\/(c\/(c\/c**(4\/3))*c)*(c\/(c\/(c\/(c*c**(-9)))*c))\/(c**(3\/5)\/c) assuming c is positive.\nAnswer: c**(647\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202230 - -20?\nAnswer: 1202310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -98488871, -98488870, -98488869, -98488868?\n\"Answer: r - 98488872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpopanspnonp. What is prob of sequence do?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -2*w**7\/105 + 2*w**6\/15 - 2*w**5\/5 + 2*w**4\/3 - 2*w**3\/3 + 3*w**2. Let c(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/43 in -1\/2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 532240 + 2?\nAnswer: 532242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 267\/(((-4)\/(-10))\/(-2)). Find the common denominator of 42\/120 - (-2 + -2) and 2 - (d\/(-54))\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47899 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n. Let d be ((-10)\/2)\/(0 + -1). Let m be x(d). Let c = -8 - m. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141559285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-1 - 0) + 2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z - 45. Let t be f(19). Let m be -1 - (-2 + 6)*-1. Suppose -g + m = -t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -628407 times -1?\nAnswer: 628407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113830\/7 + -37569241\/2310. Let r = 40\/33 + j. Calculate the common denominator of 59\/4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 841598199 by -17849.\nAnswer: -47151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -825726 < -825726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 13*u - 21. Let p be d(14). Let k(g) = -10*g - 16. What are the prime factors of k(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h. Let o be (-40)\/(-25) - 6\/(-15). Give g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*p + 77. What is the highest common factor of 49 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229209061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 16*m + 90. Let y = 276 + -288. List the prime factors of j(y).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 - -3.3. Let r = f + 1. Which is the nearest to r? (a) -5 (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 579021.4us to seconds.\nAnswer: 0.5790214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, -134, -531, -1304, -2579?\n\"Answer: -21*b**3 + b**2 - 3*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.24 - -36. Let i = 1.1 + z. Let k = -0.44 - i. Which is the closest to 0.2? (a) k (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 344985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 5421?\nAnswer: 5416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 3*i**2 - i**2 + 3*i + 2*i**3 - 2*i**2 - 1. Let c be k(2). Suppose 4*o = 27 + c. Solve 5*d - 14 = 2*g, -2*g + 0*g + 4*d = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.2, 221?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 1)*(171*m - 305*m - 285 + 288) to w + j*m and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63\/4 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkmnwwtwonn. What is prob of sequence wo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let c(a) = a**3 - 16*a**2 + 14*a + 19. Let w be c(15). Suppose w*o - 2*d = 2*d, 3*o - 5*d = 8. Let x(v) = -5*v - 4. Calculate o*i(p) + x(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 149723 and 6.72300672?\nAnswer: 149716.27699328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 802180363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 5) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 430913+-1\nAnswer: 430912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 20.\nAnswer: -93\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.6 - -9.6. What is the nearest to 2\/3 in -3, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162.2232 - -86943101.\nAnswer: 86942938.7768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 145*w**3 - 146*w**3 - 2*w**2 + 3 - 4 as i*w**3 + j + v*w + b*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 924 divide 78243396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssbbsbbhbsssr. Give prob of picking 1 h and 1 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.92. Let v = 0.17 - g. Let l = v - 0.263. What is l rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 8 - (18 + (3 - 8))) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-28885)\/(-23108))\/((-17)\/(-8) - -1)*25\/(-915)\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rddd when four letters picked without replacement from ddddddddddrrddddrd.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6676 + 0.1214. Let y = 0.189 - q. Is -1\/3 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/19 - 80*z**3\/19 - 7010*z**2\/19 + 67760*z\/19 - 60672\/19 = 0. What is z?\nAnswer: -48, 1, 8, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:51 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 + 71. Let j = 104 - l. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8559 divided by 7\nAnswer: 8559\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 x when three letters picked without replacement from alxyyee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -42*a. Suppose 29*w - 15 = 4*d + 28*w, -d = -3*w + 12. Let u(g) = -2*g**2 - 3. Let p(r) = 9*r**2 + 8. Let m(z) = d*p(z) - 8*u(z). Determine o(m(t)).\nAnswer: 462*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -21. Let c be (-6)\/15 + (-3671472)\/f. Let w = -46426 + c. Round w to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 + -0.27. What is the closest to y in -2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 245 + 216 = 5*o, 0 = 2*y - 4*o - 22 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12818, 51411, 115766, 205907, 321858, 463643, 631286, 824811?\nAnswer: 1044242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 222. Let f(z) = -19*z**2 + 4615. Determine f(c(l)).\nAnswer: -171*l**2 + 25308*l - 931781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 2 + -2 + 6 + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 10:29 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -76. Which is the third biggest value? (a) 2 (b) -0.11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:48 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 4*u**2 + 0*u**2 + (-4*u + 7*u - 435*u)*(-2*u + 0*u + u) + (2 + 2*u - 2)*(0*u + 2*u - u) - 5*u**2 + 2*u**2 + 5*u**2.\nAnswer: 435*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -44*g + 38. Calculate n(-4).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2704761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34934580 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 671.9267 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*k - 3*v - 121, 0 = -2*k + 5*v + 37. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38248727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**4\/12 + m**2. Let u(q) be the second derivative of 0*q**2 + 0 + 2*q + 0*q**3 + 1\/6*q**4. Calculate d(u(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxizxqjfjx. What is prob of sequence zx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 31*t + 1098 + 2092 = 4*t for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 2*u**2)*(2*u + u - 2*u) + (0 + u + 0)*(2 + 2*u**2 - 2) + 0 + 0 + 4*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let w(z) = 193*z + 21. Let u(q) = 386*q + 35. Let d(i) = -3*u(i) + 5*w(i). Determine d(o(c)).\nAnswer: 386*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**3 - c**2 - 3*c - 3. Let s be g(-1). Find x, given that 20*x**2 + 6*x**5 - 15*x**4 + s*x**4 - 4*x**3 - 12*x**2 - 2*x**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:41 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191\/57 - -1\/57. Calculate the common denominator of 35 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56374, -112749, -169124, -225499, -281874, -338249?\nAnswer: -394624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-280)*-15 - (-63)\/(-132))*-2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259178847?\nAnswer: 3, 67, 1289447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201320401 (base 5) to base 14.\nAnswer: 17045b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 3350.74?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 9*y**2 + 9 + 5*y**2 + 3*y**2 + 2*y**2. Let b be j(-6). Suppose 2*l = -6, -l + 3*l = -u + 1. What is the closest to u in b, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -192*((-18)\/(-24) + 2\/8). Let q = 187 + w. What is the closest to 3 in 2\/9, 1\/6, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {e: 3, s: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0.54, 2\/11, -5, 17?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.14 plus -42580371?\nAnswer: -42580368.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*w - 93 - 67, -3*w - 5*r = -127. Suppose 2*x = w + 2. Suppose 0*m + m + 2*p = 2, -4*p + x = -5*m. Sort 1, m, 5 in ascending order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 699346 and 1.4?\nAnswer: 979084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172773915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.1 (c) 0.4 (d) -1 (e) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3316.627312 to the nearest 10.\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 1, b: 2, s: 3, r: 2, i: 6}. Give prob of sequence ii.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 2 - (14 + (-8 - 5))) + -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 185*s + 3. Is q(6) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 1. Let o be (1 - (2 - 0))*-1. Let v be h(o). What is the second derivative of v*z**3 - 2*z - 3*z**5 - 5*z**3 wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:09 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiit. Give prob of picking 1 t and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**3 + 1. Let t be 7*((-4)\/(-14) + 0). Suppose -4*i = -5*s + 6, -7 - 3 = -t*i - 4*s. Calculate the least common multiple of r(i) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67309 is divided by 7451.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/30)\/(10\/(-35))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63727 divided by -3?\nAnswer: -63727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102679374.\nAnswer: 2, 3, 7, 421, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 90. Suppose 10 = -4*c + 2*j, -j + g = -4*c - 6*j. Let o be (-2)\/5 - (-18)\/c. Let p(w) = w + 7. Determine p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 8. Let j be r(5). Let c be (-3 + -1)*(j + 2). Suppose -c*w + 70 + 6 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-36)*6\/2520*-36?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890 is divided by 950?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d**3 + 4\/3*d**4 - 2\/3*d**5 + 0 - 23\/30*d**6 + 0*d - 2\/21*d**7 + 36*d**2. Factor j(q).\nAnswer: -4*q*(q + 1)*(q + 4)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -20. Suppose c = -0*b + b. Suppose -b = -l + 14. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -4 + 22. Suppose -p*v = 5*g + 10, 0*g - 45 = -5*v + 5*g. Suppose 4*x = 2*k + 328, -v*k - 85 = -4*x + 237. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2533*l**2 + 52*l + 50*l - 102*l - 2526*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7616\/72 + 4\/18. What is the lowest common multiple of 2\/21*7*3 + j and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 350, 874, 1616, 2582?\n\"Answer: a**3 + 100*a**2 + 5*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 2, f: 2}. What is prob of picking 4 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229710*s**5*y + 2*s**2*y + 2177*s*y - 2*s + 2*y + 5 wrt s?\nAnswer: -4594200*s**3*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(1539) - (-1 + (sqrt(1539) - (sqrt(1539) - sqrt(1539)*4))) - ((-3 + sqrt(1539))*-6 - (sqrt(1539) + -2 + sqrt(1539) + -3*sqrt(1539))))**2.\nAnswer: -648*sqrt(19) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3 + 9*i**2 + 11*i + 14. Determine r(-4).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, z: 1, k: 6, f: 5}. What is prob of sequence zt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -13.5, -0.2, 2\/19 in increasing order.\nAnswer: -13.5, -0.2, 2\/19, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-2) + 1405 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 + -1.23. Let v = -1.6 - n. Let j be (-2)\/4 + (-2)\/4. What is the third biggest value in j, v, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 5*m**4\/12 - m**3\/6 - 36*m**2. Let s(v) = -20*v + 2. Let z(d) = 7*j(d) + 3*s(d). Differentiate z(n) with respect to n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. What is the third derivative of -g**2 + 2*g**4 + 4*g**2 - f*g**4 - g**2 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.621 and -15.\nAnswer: -13.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -410102 (base 7) in base 15?\nAnswer: -159a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13629)\/(-9086)*272\/84\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/36*3*2\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 - 0.11. What is the closest to -2\/11 in o, 0.5, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2090036675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 556, 564, 576, 592?\n\"Answer: 2*g**2 + 2*g + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 0, 2*w = -m + w + 7301. Round m to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -31*c + 87. Let q be s(3). Is q not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z - 8 = 0. Let u(n) = 25*n + 7. Let v(t) = -18*t - 5. Let h(r) = 5*u(r) + 7*v(r). Determine h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(392)*1).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7239?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7350*h - 7410*h - 3900 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -26.\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1355*x - 1350*x - 25. Let w = 1.5 - 1. Which is the nearest to 1? (a) 0 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 373*r**2 + 2571*r + 3353. Give n(-366).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3487, -6588, -8909, -10060, -9651, -7292?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*h**2 + 1 - 403*h**2 - 1.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 12. Suppose l*y = 121 - 25. Let c be 64\/y*1*3. Solve 0 = -2*g + g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55\/6 - 9. Let l = 187 - 322. Let b be (-3)\/l + 0 + (-6)\/27. What is the nearest to -1\/2 in s, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -7*l**3 - 69*l**2\/2 + 52*l - 2. What are the prime factors of u(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, 4 in descending order.\nAnswer: 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1106 - 1079. Let n = 712 + -199. What is the highest common divisor of n and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 9*y**2 + 8*y - 8. Suppose 0 = 11*l - 10*l + 10. Let n be b(l). Does 6 divide (n\/20)\/((-2)\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*c**3 - 11 + 169*c + 30*c**3 - 2*c**2 + 53*c + 13 in the form y*c**3 + d*c + k + s*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16046892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -281, 331, 2.\nAnswer: -281, -2, 1, 2, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -2. Let l = -145 - -229. Let g = 83.7 - l. Which is the second biggest value? (a) r (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q - 9*q + 5*q in the form i*q + s and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**3 - 5*w + 16*w + 10*w**2 - 7*w**3 + 14 - 4*w**3. Let h be a(11). Let q = 115 - -11. Calculate the greatest common divisor of h and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -106, -80, 0?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from lddxddxldldxt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - 1) + -4 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 535 + 628 + 13*u - 2271*u + 157 + 84 wrt u.\nAnswer: -2258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + 0 + 0 + 1 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s. Suppose -r + 2*r - 3 = s. Suppose -4*u + 5*w = -180, -r*u + 4*w + 23 = -112. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10 + 34. Solve 0 = 4*v - g, -6*v + 5*v + 5 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**3*x**3 + 19*l**3 - 5*l*x**2 - x**6 - 16*x**4 + 2*x**2 wrt x?\nAnswer: 42*l**3 - 120*x**3 - 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1070620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7054685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2774184068 to the nearest integer?\nAnswer: 52671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.26 (b) -5 (c) 1 (d) -1\/11111 (e) 0.1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2\/9*z**2 + 0 + 4\/9*z**3 + 0*z - 2\/3*z**4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/16 and -3 - (-135)\/6 - (-2)\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.2 (b) -0.5 (c) 15 (d) -153 (e) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955*d - 789*d + 337*d - 2242*d - 330*d + 613*d.\nAnswer: -4366*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(2 + -4))\/(0 + -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Let s(n) = 5*n + a*n - 7*n. Let g(f) = f. Determine s(g(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 533 - w - 1646 + 549 + 498. Give m(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 4. Let y(v) = 4*v**3 + 5. Let s be 5\/15 + (-17)\/(-3). Let f = s - 13. Let w = f - -11. Determine w*y(n) + 5*i(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1782325, 3564648, 5346971, 7129294, 8911617?\n\"Answer: 1782323*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**0\/v*v*v*v*v)\/v*v*v*v)**(-5\/4)*v**(-11)\/(v**(-10)\/v) assuming v is positive.\nAnswer: v**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 29 = 4*d, 0 = l + 5. Let x(i) = i**2 + 3*i + 1. Let p be x(d). Suppose -91*m - 229*m = -47*m - 819. Sort m, 13, p in increasing order.\nAnswer: p, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19307743597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*i - 10*i + 7*i as g + b*i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7682\/575 - 13)\/((-3)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - (-23 + 23 + -9)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48543 divided by 3?\nAnswer: -16181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19330\/47 in -2, 5, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)\/(7\/21)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-225)*((-20)\/6)\/(1\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 plus 0.065899?\nAnswer: -0.214101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*j = -0*w - 7, 4*w + 5*j - 41 = 0. Solve 2*t = t + 5*x - 3, -w*x = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-88)\/11 - 8\/(-2). Let a = k + 132. What is the highest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 4, d: 2}. Give prob of picking 1 d and 1 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let o(w) = 26028760*w**2. Give q(o(s)).\nAnswer: -52057520*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqszaxz. What is prob of picking 1 a and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 - -396.99. Let b = z - 401. Is 0.03 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -3*y**5\/20 + 37*y**2 + 6. Let t(h) be the second derivative of 1\/6*h**4 - h + 0 + 0*h**3 + 0*h**2. What is t(j(b))?\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b692b0 (base 16) to base 9.\nAnswer: -24456030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgqoagaq. Give prob of sequence hg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, -60 in descending order.\nAnswer: 0, -1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-42)\/30)*4\/90?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.26 + 0.26. Let o(n) = -7*n + 1. Let x be o(1). Let z be ((9\/x)\/(-1))\/(-6). What is the biggest value in z, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013582 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16327, -32875, -49421, -65965, -82507?\nAnswer: -99047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42519424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16 and -133\/268782?\nAnswer: 2150256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/6 - 5*f**3\/2 - 2245*f**2. Determine u(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -3*f**5\/5 - 7*f**3\/3 + 81*f - 49. What is the first derivative of w(r) wrt r?\nAnswer: -12*r**3 - 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 981183 = -3*z, 2*s - 981189 = 3*s + z. Let x = -8811709\/9 - s. Let c = 2111 - x. Calculate the common denominator of 57\/5 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + (2 - 0) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 16. Let k(o) be the second derivative of o**4\/12 + 11*o - 1. Determine x(k(q)).\nAnswer: -3*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**13*q**(3\/5)*(q*(q**(-1\/9)\/q)\/q*q*q)**(-9\/2) assuming q is positive.\nAnswer: q**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4751173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(-z + 2*z - 3*z) + 1 - 1 - 2*z + 9*z - 12*z - 4*z)*(30*z + 52*z - 26*z)*(-z**2 - z**2 + 4*z**2).\nAnswer: -1456*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5286.5 - 5262.469. Let b = l - 0.031. Let f be 10\/((-960)\/(-104)) - (-6)\/(-8). Sort b, f, 0 in increasing order.\nAnswer: 0, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + (-1 - (-3)\/1). Suppose 2*z + 55 - 83 = 0. Suppose 2*v - 4*v = -z. Solve 2*o = 3*q + o + g, -2*q = o + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Solve -s - s = -c + 7, b*s = -c - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20 - (-1)\/(-5))*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 - -189. Let c = 85 + s. Let y = -8.1 + c. What is the nearest to y in -0.3, -1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266.59476ns to hours.\nAnswer: 0.0000000000740541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 50 = 8. Suppose -t*f + 168 + 42 = 0. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 5*s**2 + 109*s**2 - 33*s**2 - 30*s**2 - 34*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5550, -22108, -49706, -88344, -138022, -198740, -270498?\n\"Answer: -5520*q**2 + 2*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -61*o**2 + 29*o + 54. Calculate p(-2).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -432 + 435. Suppose n*p - 4*z - 1259 = 0, 4*p = -0*z + z + 1657. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 14. Let j = -1 - u. Let i be (j - 1) + (-27)\/9. Let r(q) = q**2 - 5*q - 2. Give r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -7. Let k = 95 - z. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 123, 2 in decreasing order.\nAnswer: 123, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * 0.084833.\nAnswer: 3.223654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.622 and 363067?\nAnswer: -225827.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**7\/1680 - p**6\/360 + p**5\/240 + p**4\/24 - 9*p**3 + 23. Let h(z) be the third derivative of j(z). Factor h(r).\nAnswer: -(r - 1)*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23675127 divided by 31029.\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 t, and 1 f when four letters picked without replacement from xfxfotftzyt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 1. Let v(x) = -x + 5. Determine v(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + q + 44 = -q - 2*q, -2*q = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*c - 2*l, 0 = -5*c + 3*l - 8*l + 80. Let p be (3\/c)\/((-20)\/(-70)). Sort p, -5, 4.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**3 - 27*l + 48. Determine k(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -46. Let n = -23\/4 - -119\/20. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 12*x - 2 - 2*x. Suppose 12 = 3*n + n. Is k(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.41 + -31.21. Let a = 12.86 + -13. Put c, a, -2 in descending order.\nAnswer: c, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 18. Suppose -5*g = -r*g - 24. Put -3, g, -4 in decreasing order.\nAnswer: -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*-5*sqrt(343)*2 - ((sqrt(567) - ((sqrt(567) + (-1*sqrt(567)*-1 - sqrt(567)) - sqrt(567)) + sqrt(567)))\/sqrt(9) + 0))**2.\nAnswer: 1234800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/16)\/y**(-7\/2) assuming y is positive.\nAnswer: y**(55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -165.94. Round h to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/10 + 1668\/8 + -4. Calculate the highest common factor of a and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20725 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/2 - -5. Let r be (-1504)\/(-470) - 104\/20. What is the third smallest value in r, i, -3, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406160341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h - 6*h**3 - 2*h**4 - 2*h**4 + h**4 + h**4 - 6*h**2.\nAnswer: -2*h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52126 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 206, 108, 8, -94, -198?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y**2 + 2*y - 3. Determine q(-4).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 11*c**2 + 2*c**2 - 2*c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*t**2 - 92220*n**2*t - n**2 - 5*n*t - 3*n - t**2 + 3023*t wrt n?\nAnswer: 2*t**2 - 184440*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*w**2*x**2 + 53*w**2*x - 20*w*x + 3946*x**2 - 5*x wrt w.\nAnswer: 16*w*x**2 + 106*w*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 12) to base 7\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3.07, -1, 5, -4, -240\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1 less than 0.2?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 0.2 (b) -3045 (c) -2\/5 (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1743 + -1746. Which is the third biggest value? (a) l (b) -0.1 (c) -115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let b be (-2)\/(-1*2) - -2. Let h(m) = m - 2. Let c be h(b). What is the nearest to a in c, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1444\/9, -1\/5, 5\/3.\nAnswer: -1\/5, 5\/3, 3, 4, 1444\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**19*l**(11\/2)*l**(1\/17))**(3\/8) assuming l is positive.\nAnswer: l**(1213\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763390 is divided by 587559.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269050859?\nAnswer: 3, 419, 336529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 108*b**2 - 66 - 30*b**2.\nAnswer: -138*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let m(p) = -p + 7. Calculate m(y) + 5*r(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 10:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14466381.3s?\nAnswer: 23.91928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -690?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (-6 - 13)) + (-13 - (-2 + 5))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 38*(8 + -6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3804528*z**2 - 87*z + 530. Let g be o(6). What is g rounded to the nearest one million?\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 - -10492?\nAnswer: 1044b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/((-2)\/1)). Let y = a - -2. Suppose -2*j + c = 13, 0*c = -2*j + 2*c - 18. Sort -2, j, y in ascending order.\nAnswer: j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - 1) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-288*c + 321*c + 486*c)*(-4*c**4 + 2*c**4 + 4*c**4) + (3*c**5 - 4*c**5 + 0*c**5)*(-3 - 1 + 2).\nAnswer: 1040*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -791, -5, 5.\nAnswer: -791, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10456 by 10456.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvhh. Give prob of picking 1 b and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*r**6 - 133409*r**4 - r**2 + 89*r - 100564 wrt r?\nAnswer: 3240*r**3 - 3201816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 + 3*f**2 - 294*f + 42899.\nAnswer: -6*f**2 + 6*f - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j**2\/4 + 3210*j + 4281\/4 = 0. What is j?\nAnswer: -1\/3, 1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-221) + (-103)\/17. Let l(i) = -2*i**2 - 11*i - 9. Determine l(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593834.\nAnswer: 2, 3, 11, 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 22 = 5*w. Suppose -w = -4*a - 3*h - 0*h, 3*h - 8 = -5*a. Calculate the lowest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 4, v: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/131624 and 101\/6?\nAnswer: 394872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = -a + 5, -4*p = 4*a. Solve p*f - 16 = -5*l, -4*l - f + 7 = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 129. Suppose -3*i + 4*l = 23, -2*i = -f*i + 5*l - 19. Let t be i\/(-7) - (-4)\/(-12)*6. Put 6\/7, 0, 2, t in descending order.\nAnswer: 2, 6\/7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 0.358.\nAnswer: 0.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 864?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0334? (a) -1\/2 (b) 3\/4 (c) -0.3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101312001 (base 4) in base 8?\nAnswer: 104216601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -6*m**2 - 285*m + 43. What is the tens digit of t(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + 29?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 55*n - 120. Calculate z(30).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 32 + -29 - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36828 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/10 and ((-2)\/8)\/((-1)\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 4*n = -8222, -5*n + 5 = 0. Is m a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 + 252. Let h = 8 + 0. Suppose -k*q + h = 1. Is 1\/21 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -0.366.\nAnswer: -20.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3053539 + 5640539. Round c to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -68. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.468 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6149 and 429?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5 + 9*g**4 - 2926*g**3 + 2*g**2 - 107156*g - 2 wrt g?\nAnswer: -420*g**2 + 216*g - 17556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230 (base 4) in base 5?\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 22836*p**2\/5 - 2407302*p - 310247280.\nAnswer: 2*(p - 11928)*(p + 255)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-10)\/(-4). Suppose 8*b = 5*b + 60. Let q = 47 - b. Solve -3*k - 26 = -r*z + k, -4*z + q = -3*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -4. Let x(w) = -2 - w**3 - 1 + 0 - 1. Let u(s) be the third derivative of -s**6\/40 - 11*s**3\/6 + 172*s**2. Calculate h*u(q) + 11*x(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -633757\nAnswer: -3\/633757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -136. Let w = d + -40. Suppose -4*v + w = -7. Calculate the smallest common multiple of v and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1561 + 1561. Which is the nearest to 1? (a) -42 (b) 1\/4 (c) -4\/9 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1 + 11 = w, -2*s - 4*w - 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135619 divided by 4\nAnswer: -135619\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -499*z - 80. Let n be o(-19). What is the common denominator of n\/408 - 2\/(-16) and 85\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804812 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*d**5 + 10*d**4 - 62*d**2 + 1791*d + 50 wrt d.\nAnswer: 580*d**3 + 120*d**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2594937 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**4 + 0*n**3 - 53*n**2 + 7\/90*n**5 + 0 + 0*n - 1\/180*n**6. Determine x so that j(x) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/(-195))\/((-32)\/((-1728)\/405))?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-14)*24\/20. Suppose -403 + 1593 = -5*g. Let n = g - -1670\/7. What is the third smallest value in n, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 - 3*j**2 + 6*j - 99. Let z(h) = h**2 - h + 1. Determine n(d) - 6*z(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/11, 5, 130, -0.5 in ascending order.\nAnswer: -5, -0.5, -2\/11, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/805204768 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6557647?\nAnswer: 31, 199, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*q - 4, -16*q + 14*q - 3 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 2. Give i(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Let s(j) = 2*j**2. Let z(i) = -2*i**2. Let u(y) = w*z(y) - 5*s(y). Let l(c) = -c. What is l(u(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 12. Let z(u) = -u**3 - 5*u**2 + 6*u + 2. Let o be z(r). Suppose 0 = 2*v + 4*x - 8*x - 14, 2*v = 3*x + 10. Put 0.05, o, v in increasing order.\nAnswer: v, 0.05, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = b - 4, y - 21 = -2*b - 2*b. List the prime factors of 308\/11 - (y + -7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-5.9611.\nAnswer: 59.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, -73, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -11*t + 511. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -201202?\nAnswer: -201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*o**4 + 1828*l*o**3 + 2*l*o**2 + 17*l*o - o**4 + o**3 - 986 wrt o.\nAnswer: 24*l*o + 10968*l - 24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbbgftfbgq. Give prob of sequence ffg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 337742876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 5 (c) 0.3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-34 + 34 - 12*f + (2*f + 2 - 2)*(5 - 3 - 1) - f + 3 + 1 - 2).\nAnswer: 22*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 1. Let h be u(1). Let j be (-18)\/84 + (-1)\/h. Let k = 206.6 - 207. What is the biggest value in k, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 4*i**3\/3 - 7*i**2\/2 + 7*i + 6. Determine v(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(((-4)\/(-3))\/(-2)). Suppose 8 = -k - 5*u, -5 = -3*k - 4*u + 4. Solve -3*s + k*s - c*g = 3, -g - 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/11 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -30. Let u = 2 - b. Calculate the lowest common multiple of 2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18102 is divided by 8423?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 17 - 3)*(-2*t + t - t)*(-1 - 1 + 7)*(-2*t**3 - 59*t**3 - 13*t**3).\nAnswer: -14060*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*d**2 - 2*d**2 + d**2 + (0*d + 3*d + 0*d)*(-2*d - d + d) - 4*d**2 + 4*d**2 - 11*d**2 to the form j*d + l*d**2 + r and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/133 (b) 24 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1102670167 - 4?\nAnswer: -1102670173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 11. Suppose -4*r - 11 = -n + 5, 5*n - r = 99. Suppose n = -4*o, -5*l + o + 290 = -o. What is the least common multiple of q(1) and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168b5 (base 12) to base 11\nAnswer: -22379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 5*p - 3. Let n(q) = 29*q**2 + 2*q + 1. Let t be n(-1). Let g = t - 25. Is 14 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62407 < 62353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 2, -4\/3, -2, -32, 0, -14 in descending order.\nAnswer: 2, 0, -4\/3, -2, -14, -32, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*h - 0*h - 58, -5*h - 10 = 0. Let n = -35 - w. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*k + 1 = 0, -4*k + 111 = -14*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42372.017 + -42372. Which is the third smallest value? (a) p (b) -4 (c) -2\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 196, 292, 396, 514, 652, 816, 1012?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44262172*f + 21679758.\nAnswer: -44262172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 181 and 31779.192.\nAnswer: 31960.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 410*j + 2031*j + 2180*j to the form y*j + g and give y.\nAnswer: 4621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -544?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42721*d**2*g**2*y**2 - 2*d**2*g**2*y - 3*d**2 + 45*d*g + 685*d*y**2 wrt g.\nAnswer: 85442*d**2*y**2 - 4*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 294 = 73*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 66.945681s?\nAnswer: 0.0185960225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -287*r - 3 + 451*r + 3 to x + j*r and give j.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*x - g - 12, -2*x - 4*g + 6 = 0. Factor q**x + 0*q - 1\/2*q**2 - 1\/2*q**4 + 0.\nAnswer: -q**2*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 16. Suppose -2*d + 10 - 2 = 0. Suppose 0 = t - 2*p + 10, t - 21 = -d*p - 1. Solve -r + t = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*s - 4*k + 5, -2*k = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 + 36*u. Let b(x) = -9*x**3 - 73*x. Determine -4*b(t) - 7*s(t).\nAnswer: t**3 + 40*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100111001010100001010 (base 2) to base 4.\nAnswer: -310321110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + p = -5*d - 1, 5 = -5*p. Suppose t - 7 + 3 = d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*y + 32*y - 2015 - 191 - 1594 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 9*l = -3*g, -5*l - g + 19 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114092*d**2 + 169522.\nAnswer: 228184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) + 3\/5. Let q(i) = 1 + i**2 + 0 + i - 3 - m. List the prime factors of q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -782.6 + -19.4. Let o = j + 802.0561. Let g = -0.051 + o. What is g rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 1894*s + 99781. Determine w(56).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 114*p**3 + 22 + 111*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15.5, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 58*h**2\/5 + 64*h - 1536\/5.\nAnswer: 2*(h - 3)*(h + 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -28391\/579?\nAnswer: -28391\/579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*m - p + 7, -5*m = -2*p + 5. Let w = -1 + m. Let i = w - -5. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/173 - -349\/519. Let d be (1\/2)\/(7\/(-4)). Is t greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 + 3 - 3.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -142 times -0.08\nAnswer: 11.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34 and -12120.88.\nAnswer: -12086.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164 in 0, -2, -0.17, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*h**3 + 300*h**3 - 680*h**3.\nAnswer: -135*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 570024784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -762 <= -764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 281. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 6*x - 11. Let f = -10406 + 10413. What is t(f)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618703681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*x + 10 + 41*x - 16*x)*(x - 2*x - 23 + 16) in the form l*x + p + i*x**2 and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/25, 1, 191, -2\/7, -5, 3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -367\/6. Suppose -4*x = x - 15. Suppose p + x*p = 16. Sort p, q, 0.2.\nAnswer: q, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11587, 11493, 11337, 11119, 10839, 10497, 10093?\nAnswer: 9627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16173238849 plus 164?\nAnswer: -16173238685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7)*3 - (sqrt(28) + -1*sqrt(28))\/sqrt(4).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11953?\nAnswer: 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*v**3 + 12*v**3 - 3 - 2*v - 4*v**4 + 3*v + 8*v**3 + 7*v**3 in the form o*v + k + a*v**4 + f*v**2 + d*v**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 807378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56294 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: Simplify (j**3*j**7\/j)\/(j\/j**(-2\/3)*j**(1\/4))*((j\/(j\/((j*j**14)\/j)))\/((j**(2\/33)\/j)\/j*j*j))**(-11) assuming j is positive.\nAnswer: j**(-585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069177091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 10. Let o be p(-15). Suppose s = o*s - 1528. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10996 minus -1.787419556?\nAnswer: -10994.212580444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 4. Let g be f(-2). Suppose 3*o - 2*o = g. Let u = 0.02 + -0.42. Which is the nearest to o? (a) 0.3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 48*v - 62*v - 13*v - 5*v + 60*v.\nAnswer: -75*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**4 + 10*a**3\/3 + 11. Find the third derivative of x(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -y + 4, -384*u + 389*u + 20 = -y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4\/7 - 468*i**3\/7 + 2436*i**2 - 26068*i.\nAnswer: 4*i*(i - 49)**2*(i - 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(2) + sqrt(2)*1))\/(sqrt(6) + sqrt(12)\/sqrt(18)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68757 - -68760. Let w = 0.11 - 6.11. Let p = -6.4 - w. Sort 57\/5, k, p in descending order.\nAnswer: 57\/5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 112681*r**2 - 33*r + 39. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119956391.\nAnswer: 31, 3869561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 218402\nAnswer: 1\/109201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**5\/140 + 111*q**4\/7 + 891*q**3\/14 + 669*q**2\/7 + 173*q + 15. Factor n(u).\nAnswer: -3*(u - 446)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963611 and 38896?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) - sqrt(672)*-1*-5)\/((sqrt(324)\/sqrt(6)*3)\/sqrt(9))*1)**2.\nAnswer: 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -3*c**4\/4 + c**3\/2 + 3*c. Find the second derivative of a(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 766719 and 1346193.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 10)*1*(-20)\/1. Let o = g + 382. Let i = -27 + o. List the prime factors of i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - (-14)\/3. Let v(c) = c - 4. Let i be v(p). Let o(u) = -7*u + 4*u + i*u. Let k(z) = 2*z. Give o(k(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, j: 1, w: 3, s: 4}. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*p = 7*p, 5*v = -5*p - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*a + 30, 0 = -5*w - 6*a + a. Suppose -4*j = 5*v + 4, v + 5*j = -v - w. What is the second derivative of v*b + 2*b**4 + b - b**4 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-134)\/(-335))\/((-9)\/((-90)\/(-28))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 25*z**2 - 116*z - 3. Calculate h(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**2*r*w - 17039*k**2*r - 34*k**2 - 3*k*r*w + k*w + 3*r*w - 5576*r wrt k.\nAnswer: 20*r*w - 34078*r - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8 + 2 - 9 + 3*d. Let v(r) = 21*r - r - 4*r + 5. What is -11*n(k) + 2*v(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - k)*(-13*k - 5*k + 6*k) + 2*k - k**2 + 0*k**2 - 3*k**2.\nAnswer: 32*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -6*n - 315. Let g be 2322\/n*(-20)\/(-2). Let d = -97 - g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 2*l**2 + 12*l. Let p(w) = 2*w**3 + 2*w**2 - 12*w. Let t(n) = -4*d(n) - 5*p(n). Factor t(s).\nAnswer: -2*s*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4522*v - 155109 = -354*v + 167946 + 281569 for v.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -30*a**2 - 40470*a + 17015271. Let d(b) = -11*b**2 - 15176*b + 6380726. Let j(h) = 27*d(h) - 10*s(h). Suppose j(c) = 0. What is c?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j**3 + j**2 + 266*j wrt j.\nAnswer: 78*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624707.\nAnswer: 624707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14206124 + 0.0464?\nAnswer: 14206124.0464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 7*w + 20. Let p(g) = 3*g**2 + 93*g + 620. Let y be p(-21). Give o(y).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 4 + -4 + 77. Find the second derivative of 13*v**3 - c*v + 214*v - 102*v wrt v.\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -311 + 313 + 26*j - 5*j + (-2 + 1 + 0)*(-2*j + 2*j + j).\nAnswer: 20*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1550838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-195)*450\/(-80))\/(1\/(-4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 - 244*d**2 - 776*d**2 - 771*d**3.\nAnswer: -759*d**3 - 1020*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.21708 at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 67032.\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*y - 1628737*y**2 + 1628737*y**2 + 2*y**3 - y**4 in the form v*y**4 + z*y**2 + t*y + a + i*y**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m**3 + m**2 - 11*m - 20. Calculate the remainder when z(-2) is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let i be (-3)\/2 + (-3016)\/(-2832). Let q = -6\/59 - i. What is the nearest to -1 in u, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5186*n**2 + 7*n + 0*n - 35711*n**2 - 7*n in the form d*n**2 + q + h*n and give d.\nAnswer: -40897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*q - 67*q + 135*q in the form p*q + u and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in months?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 + 4*o - 4. Let m be a(3). Let w(y) = -3*y. Let p be w(1). Calculate the common denominator of (-76)\/p - m\/6 and 50\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (121752\/76)\/(-25 - -7)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 2\/13, -2, 2\/5, -5\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4 - 12. Let l(i) = -8*i - 4. Let y be l(j). Is 1*158*y\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1577111183594?\nAnswer: -1577111183594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1379\/39 (b) -1\/2 (c) 0.07 (d) 0 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29973, -29983, -30007, -30051, -30121?\n\"Answer: -g**3 - g**2 - 29971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-10\/3)*a*(a**8\/a)\/a)\/(a**14*(a**9*a)\/a))**(-48))**(-24) assuming a is positive.\nAnswer: a**(-22272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 305\/61*(-18)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 18 + h - 15 + 4*h. Let w(q) = 8*q - 2*q + 2 + 2. Determine -3*w(l) + 4*z(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*b + 3275 - 1013 = -103*b. Let n = -6 - -14. What is the remainder when b is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 1295, 1, 15 in ascending order.\nAnswer: -1, 1, 6, 15, 1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*n - 2*q + 45, 117 = 5*n + 3*q. Suppose -2*x = -n + 6. What is the remainder when 16 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 3. Let o(n) = -8 - 1 + 3 + 3 - n. Let c(r) = 5*i(r) + 4*o(r). Find the first derivative of c(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:32 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 289072086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -4, -5, 1, -7.\nAnswer: -7, -5, -4, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzd when three letters picked without replacement from {m: 1, d: 4, h: 3, u: 1, z: 2, g: 7}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 94\/8 + 7*10\/280. Solve r*z - z + 33 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 125*i - 876. Determine j(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -9. Solve 0 = r - z - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26786424877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/1020 + f**5\/255 - 3*f**2 + 5. Factor o(x).\nAnswer: -2*x**2*(x - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -25 + 3. Let r = -19 + i. Solve -q + 4*b = 7, 0 - 14 = -q - r*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 2*q - 2. Let m(p) = 531*p**2 + p**3 - 182*p**2 - 1 - p - 170*p**2 - 178*p**2. Let h(x) = -x + 4. Let w be h(6). What is w*i(j) + 4*m(j)?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 37228.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*m + 211*m + 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 - 55*z**2 - 452*z + 505. Calculate b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2190857 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 429022270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4689, 5, 17, 0.4, -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 170, 339, 508?\n\"Answer: 169*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11101201 + -11?\nAnswer: -11101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 22*h + 2 in the form w*h + m and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 34058838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744 divided by -8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31, -108, -243, -442, -711, -1056, -1483?\n\"Answer: -m**3 - 23*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 894 and 692403?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 3\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 3, j: 11, r: 2, m: 1}. Give prob of sequence jrmr.\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f - 15. Suppose 0 = -265*j + 216*j + 294. Determine s(j).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/18*(-4)\/6. Let y be 2\/(4\/42)*s. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2.9, 6\/7, -2\/15, -1, -253?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:14 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -26*m + 9. Let r be l(-9). Suppose -z + 0*z - 317 = -2*u, 2*u = -4*z + 302. Let a = u + r. Round a to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340861 divided by 10.\nAnswer: 340861\/10","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -186693075 divided by -62231025?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 672\/1353 - -4*15\/1230.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-81 - (10 + -3 + -11))) + 4 + -8\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55393 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -749280883\/1710 - -438176. Calculate the common denominator of k and -49\/270.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 - 2*v**2 - 84*v.\nAnswer: 2*v*(v - 7)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-4872)\/(-392))\/29)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 485150.5736 to the nearest one thousand.\nAnswer: 485000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1521.99896 - -39.0009621. Let p = -1561 + r. What is p rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4*y - 13*a**4 + 2*a**3*y - 122*a*y - 2*y wrt a.\nAnswer: 24*a**2*y - 156*a**2 + 12*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/21 - 11*d**6\/5 - 3*d**5\/10 + 101*d**4\/6 - 22*d**3 + 5*d. What is k in u(k) = 0?\nAnswer: -2, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 50 = 5*j + 3*v, 0 = -2*j + 2*v. What is the remainder when 802 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 89. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 23 - 30 + 53.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247828680\/19 or -13043615?\nAnswer: -13043615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*y**4 - 31*y**2 - 8442*y - 160823359?\nAnswer: 204*y**3 - 62*y - 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 40943284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 - (10 + -9 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3203 (b) -1\/4 (c) 1\/3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18849 and 42333?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -205*t - 95. Is d(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-246)\/(-4)*(-3700)\/(-30). Suppose 3*j = 40*j - n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Suppose 5*i = 27 + 28. Let a = r + i. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2.3, -21, 6\/11, -0.3, 3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4031536 divided by 2\nAnswer: 2015768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 22074?\nAnswer: -6622.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.5231 + -0.0431. Let s = -0.32 - x. What is s rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 7*h**3 - 2*h**3 + 2*h + 5*h**3 + 2 as s + l*h**3 + p*h**2 + j*h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + 48. Let x be (r*-1)\/(3\/(-3834)). Suppose 2*y + 109578 = -x. Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + -26 + 37)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvggvvvgvvgggvg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 292121146 divided by 1\nAnswer: 292121146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -20) + ((-9)\/15 - (-1702)\/(-230))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from xagrxxgxggxxt.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396516643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 0 + 5 - (2 - 9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -10 + 24\/4 + (-164)\/(-2) and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*m - 71159 + 23155, -4*m = -5*g + 79992. What is g rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 3 in descending order.\nAnswer: 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41)\/(-70) - (-2)\/(-7). Let v(w) = -3*w + 8*w - w**2 + 6*w. Let p be v(11). Is z <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Suppose 3*s - 5*u = 2*s - 17, 5*s + 3*u = 27. Let j be 0\/((-2)\/(-4)*-4). Let o(w) = -s*w + j*w + 5*w. Calculate d(o(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371 + 621. Suppose -2*p + 2*i = -2*i - n, -3*p - 2*i + 391 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-26 - (69 - -23 - 41))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = -4*q - 4, -5*q = -4*i. Differentiate -67*f**4 - 23*f**q + 16159 - 16267 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + 39 + -42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 374 + -371. Solve 3\/2*t - 21\/4*t**2 - 21\/2*t**5 - 9\/2*t**a + 0 + 75\/4*t**4 = 0 for t.\nAnswer: -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*h + 471 - 656 + 1769 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 - 4 = -3*r, -n - r - 1 = 0. Solve x = 3*d - 6*d - n, -10 = -5*d + 5*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/64*(-7 + (-40)\/(-30))?\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2*(-258)\/(-171). Let z = -25\/19 + p. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -1\/9, 3, -0.1, -34.38, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -256\/3. What is the third smallest value in n, 0.4, 3, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwwvvwwvvwwfvv. What is prob of picking 1 v and 2 w?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 7, 19, 45, 91, 163, 267, 409?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1493968 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 - 16*i + 5. Let x be q(-8). Let b = 1.25 - 0.95. Sort 0, x, b in ascending order.\nAnswer: 0, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - (sqrt(19) - (sqrt(171))**2*4)).\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 88 = 2*g, 2*g - 73 = -3*a - 0*g. Let i = 19 - a. Sort i, -2, 2, 3 in decreasing order.\nAnswer: 3, 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 29*h = -16*h - 38 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 39 - 58 + 5*b**3 - 6*b**3 + 2*b to p + q*b + g*b**2 + v*b**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 9179?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 192*q**3 - 13*q**2 + 56*q - 121. Is j(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - r**2)*(16*r - 11*r - 7*r) + (-2*r**2 + 0*r**2 + 0*r**2)*(6 - 6 - 2*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41 - 11*a - 46*a + 187*a wrt a?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + b**2 + 11*b**2 - 10 + 42 - b**2 + 61.\nAnswer: 5*b**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-2)\/8). Suppose -x = -6*x - 15, -y = -w*x - 15. What is the second derivative of i**5 + y*i**5 + 0*i + i**5 + 10*i wrt i?\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -25. Suppose 0 = 3*w - i - 267, w = -s*w - 2*i + 356. Find the third derivative of w + 17*u**4 - 179 + 90 - 33*u**2 wrt u.\nAnswer: 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6726 * 4.\nAnswer: 26904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (3 + (sqrt(5)*2 - sqrt(5)) + (-1*sqrt(720) - sqrt(720)))*-5.\nAnswer: -16 + 115*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35160808171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from agwwwerw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2405015 + -5?\nAnswer: 2405010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 14. Suppose 2*a + 9 = q*v, -9 = -3*v - 0*a + 5*a. What is the second derivative of -4*w - 3*w**2 + w**2 - v + 3 wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkabvggzagk. Give prob of picking 1 k and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692026369 to the power of 1\/2, to the nearest integer?\nAnswer: 26306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 14) to base 3.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 + 13 = 2*n, -2*d = -4*n + 14. Suppose n*m = -l + 108, m + l + 24 = 77. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1084 + 1764. List the prime factors of r.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 2}. Give prob of picking 3 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25952 divided by 8.\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 168*l*m*p**3 + 2*l*m*p + 214*l*p**3 - 5*l*p wrt m?\nAnswer: 168*l*p**3 + 2*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5996 = -704. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295*m**3 - 58 - 274 - 430*m**3 + 64 + 99*m**3 + m wrt m.\nAnswer: -3756*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518 = -773*h - 801 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 5*q - 12. Let v(k) = -4*k**2 - 5*k - 13. Let u(r) = 4*v(r) - 5*x(r). Suppose -4 = -c + 2*n - 0, -5*c = -4*n - 26. Determine u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*c + 19 - c**3 + 57*c - 4*c**3 - 23 in the form p*c**3 + r + s*c**2 + m*c and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1123 + 3256. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + g**3 + 5*g**2 - 5*g**2 - 9*g**4 in the form u*g**4 + q*g**3 + y*g + r*g**2 + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**4 + 7*o**4 + 12*o**4 + (0*o + 0*o - o**2)*(105*o - 13*o**2 - 105*o) + (o**4 + 0*o**2 + 0*o**2)*(5 - 5 + 1).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028530445 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 divided by 2110?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**4 + 11*w**3 - 10*w**3 + 5*w**4 + 2*w**2 as o*w**4 + f*w**2 + k*w + r + i*w**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -16, -11, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:25 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(2\/21)\/((m\/m**(-2))\/m**(-3)) assuming m is positive.\nAnswer: m**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*r - 107 = -14, 48 = 2*g - 2*r. Suppose -4*o + g = -127. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985*u = -987*u + 4. What are the prime factors of (-258658)\/(-230) - u\/(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {r: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/(1\/104). Suppose -129 = -p - u. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10330 - 120132?\nAnswer: -131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**6\/45 - 16*m**5\/15 - 139*m**4\/18 - 178*m**3\/9 - 24*m**2 - 972*m - 3. Let l(g) = 0. Calculate g.\nAnswer: -2, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 2*v + 3*v - 5*v - 15*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*m**2*y**4 - 15*m**2*y - 4*m**2 - 13*m*y**4 - 2*y**4 - 2*y**2 - 3*y wrt y?\nAnswer: 912*m**2*y - 312*m*y - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t**3 - t**3 + (2*t**2 - 2*t**3 - 2*t**2)*(-4 + 1 + 1) - 2 + 2*t**3 + 2 + (3*t**2 - 6*t**2 + 2*t**2)*(0 + 0 - 3*t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007581*0.39.\nAnswer: 0.00295659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -34 - -3 - (-112 + -54 + 169)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128827171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = -p, 2 - 17 = -2*u + 5*p. Suppose -10 = -3*b - 0*c + 2*c, -c = -4*b + u. Suppose b*x - x - 9 = 0. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 12*g + 200. Suppose -21*s - g = -25*s. Suppose 7*o - 21 = -l + 3*o, 4*o = 16. Solve 0 = -s*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**5 + 3686*g**4 - 20106*g**3 + 33602*g**2 - 21680*g + 4488 = 0. Calculate g.\nAnswer: -374, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63722.09l?\nAnswer: 63722090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/b**(-8))\/b*b))\/b**(-7) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 5:49 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11989 and 1893.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c9c12 (base 13) in base 16?\nAnswer: 388d49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**3*u**3 - 204*k**3 - 2*k**2*u**3 + 6*k**2*u - 24*u**2 wrt k.\nAnswer: -24*u**3 - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 + 4*g**2 - 3*g + 2. Let q be c(2). Let a = -8 - q. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11161 = -1307*l - 58213 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503788122.\nAnswer: 2, 3, 4217, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*z = 9093 + 1347 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2858\/9 + -318. What is the second smallest value in -15, -12, s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -392, -388, -370, -332, -268, -172?\n\"Answer: d**3 + d**2 - 6*d - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63354, -126707, -190060, -253413?\n\"Answer: -63353*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 397*a**2. Let w(s) = -2*s. What is i(w(u))?\nAnswer: 1588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j**2 + j + 17. Let p(f) = 6*f**2 - 8. Let s(w) = -4*b(w) - 9*p(w). Let o(t) = -7*t**2 - 5*t + 5. Determine -4*o(g) + 5*s(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*d**3 + 42*d**3 + 10*d**4 + (-3*d + 6*d - d)*(0*d**3 - d**3 - 2*d**3).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84549 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l**2 + l**2. Let o(c) be the first derivative of -4*c**3\/3 - 1. Let x(v) = -v**2. Let m(z) = 3*o(z) - 10*x(z). Calculate k(m(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3224 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-838*t**2 + 840*t**2 - 4 + 15*t + 1)*(4*t + 0*t - t).\nAnswer: 6*t**3 + 45*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -18. Let r(v) = -v - 1. Let k be r(5). Let x = t + k. Solve 3 = -2*f + 5*z, 2*f + 12 = -z - x*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) 29 (d) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59799.59 meters?\nAnswer: 59799590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 15 + 15)*(1 - 3 + 2*k**2 + 1).\nAnswer: -12*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -25*v**3\/6 + 5*v**2\/2 + 4*v - 7. What is the remainder when 204 is divided by s(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q + 5. Let t be y(6). What is the second derivative of -v - 2*v**t + v + 2*v wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/13 - 14026*u**2\/13 - 21273222*u\/13 + 12003391314\/13.\nAnswer: -2*(u - 433)*(u + 3723)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484897.\nAnswer: 7, 53, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 310 - 310. Suppose 5*m + 3*c - 10515 = b, 4*c - 1065 + 3168 = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -0.3, 3\/4 in increasing order.\nAnswer: -0.3, 3\/4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3911 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 2*j**2 + 3*j**2)*(2 - 26 + 44) + (-j**2 + 3*j**2 - 4*j**2)*(1 - 4 + 4).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292581 is divided by 161566?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 - 0)) + (10589 - 10548)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 96, 157, 218, 279, 340?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -2, 3, -1, 362 in descending order.\nAnswer: 362, 80, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 9*b + 28. Determine i(-16).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Let i = k + -10. Which is the biggest value? (a) 2\/11 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 - -29 - (4 + -4 + (2 - 7))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/27 + -6 + 518\/18. Suppose f*x - 42256 = -15185. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + q**3 - 6*q**2. Let o be u(-3). What is the derivative of 8 + 8*h**3 - 2 + 2*h**3 - 4*h**o wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0*z**5 + 0*z + 1\/8*z**4 + 0 - 7\/120*z**6 + 0*z**3 + 6*z**2. Find the second derivative of y(n) wrt n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 917063 + -40063. What is d rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 23. Suppose 4*t = -f + 10, -f = 2*t - 6*t + z. What is the second derivative of 73 + 27*i**f - 73 + 19*i wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/4 and -81\/778?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*w - 6682995 + 6682995.\nAnswer: 406*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 222*g**3 + 1720*g**2 + 7944*g - 9440 = 0. What is g?\nAnswer: -118, -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 13547415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*f = -94*f - 20. Let x(i) = 2*i**3 - 3*i**2 + 2*i. Let y(c) = -c**3 + c**2 - c. Give f*x(k) + 9*y(k).\nAnswer: -k**3 - 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times 1.0776?\nAnswer: -71.1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 6*z - 5. What is the units digit of v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-540)\/(-70) + -2*2\/(-14). Let c be (-142)\/(-72) - (u\/36 - 0). Solve c*p**2 + 0*p - 1 - 3\/4*p**3 = 0 for p.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 2*k + 3*k. Let n = 134 - 134. Suppose n*f - k = -8*f. Let q(i) = -2*i**2 + 2*i + 5. Determine q(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*j = 5*l - 2267, 2*j - 2291 = -3*l. Let h = -227 - -143. Is (-14)\/h + l\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from azaaaaazaaaaaaaaaaa?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 + a + 5. Determine y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k - 734104. Let u = 14131272\/77 - k. Let s = u - -36\/11. What is the fourth biggest value in s, -4, -0.1, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292614?\nAnswer: 2, 3, 7, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2. Let r(a) be the second derivative of -13*a**4\/24 + 4*a**2 + 10*a. Let n(o) be the first derivative of r(o). Calculate y(n(t)).\nAnswer: 338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-1 + -1 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Let v = 1592 - 1594. Let i be (v\/4)\/((-1)\/(-30)*-3). Solve -k = u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 276656689*u**4 - 1936663355*u**3 + 465728*u**2 - 28*u.\nAnswer: u*(u - 7)*(16633*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 715?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-650)\/(-30))*(0 - 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 + 109.0000648. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 4, e: 2, k: 2, l: 3, j: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62632931*v**3 - 25675006*v wrt v.\nAnswer: -375797586*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -267, -555, -833, -1095, -1335, -1547, -1725?\n\"Answer: c**3 - c**2 - 292*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*y - 4*p + 9, 13 = -2*y - 5*p. Let c(h) = 2*h**2 + 4*h - 3. Is c(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let d(o) be the first derivative of -2*o**4 + 51. What is the remainder when 21 is divided by d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -0.28. Let o = 4 + -4.1. Let n = o - u. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15853, -15898, -15943, -15988, -16033, -16078?\nAnswer: -16123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30132*i**5 + 420*i + 13.\nAnswer: 602640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2\/7 + 1688*k\/7 + 2124 = 0. What is k?\nAnswer: -413, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 + 556*c\/9 + 38642\/9 = 0. What is c?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 5}. Give prob of picking 2 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 315005318309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/219 = -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 - 2)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2174993951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x + 6. Let z(s) = 19*s + 9. Let i(w) = 4*j(w) - 3*z(w). Let m(o) = -3*o. Determine m(i(p)).\nAnswer: -33*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*d - 280*d - 113*d**2 + 97*d**2 as t + i*d**2 + y*d and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {k: 1, g: 2, b: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 361*c + 17999. Calculate y(-50).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39725 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (3 + -1 - 3)) + (-790 - -783)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62833643707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -32*q + 231. Suppose -16*t = -t - t - 98. Give u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/25 or -20\/3?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e8 - 26e39?\nAnswer: -27232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6090412202 - 6090411981.00000545. Let l = b - 221. Round l to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6153\/13897 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14302 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(2870\/(-369))*-1*(-2)\/54.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -10\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 7. Let y(l) = 2*l - 7. Let w(k) = 4*m(k) - 2*y(k). Determine w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w - 50. Let p be g(6). Let j(o) = 8*o**2 - 3. Is 14 a factor of j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 14) in base 4?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -3244?\nAnswer: -6488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 + 0*r**3 + 6*r**3 + 4*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -8*u**6\/15 - 3*u**3\/2 + 9*u. What is the second derivative of f(w) wrt w?\nAnswer: -192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.327, 1, 31?\nAnswer: 0.327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172099065 divided by 5.\nAnswer: -34419813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y. Let q(x) = -21*x + 9. Determine q(g(u)).\nAnswer: 42*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 3, -224, 0 in decreasing order.\nAnswer: 3, 0, -4, -5, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-27))\/(1\/(-6)). Let f = 16 + -65\/4. Let p = -15.3 - -15.2. Which is the nearest to p? (a) k (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q**3 + 8*q**2 + 5*q + 6. What is the tens digit of w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134 + 149. Solve 0 = -4*p - 3*q - 21, 2*q - o = 3*p + 4*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3*u**5\/5 - 219*u**4\/4 - 1366*u**3 - 1728*u**2 + 7776*u + 779. Factor v(w).\nAnswer: -3*(w - 1)*(w + 2)*(w + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3*6\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387683 (base 9) in base 6?\nAnswer: 24233420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q = 15*q + 485 + 178 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 36 = -26*t. Suppose 5*q - j - 3*j = 140, 3*q + 2*j - 106 = 0. Let i be (12\/8)\/(t\/q). Solve -u - u - i = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9415029.\nAnswer: 3, 13, 73, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -463, -364, -225?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = o - 304. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3))**(-30) assuming m is positive.\nAnswer: m**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12723a (base 15) to base 6.\nAnswer: 30544031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*(864\/480)\/(6\/80)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 155725.4um?\nAnswer: 0.1557254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7062*m + 402663. Give a(-57).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p**2 - 7*p - 6. Let c be d(-4). Let y = -22 - -20. Let j be c*(y - 2\/(-2)). Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g*i*m**3 + 2*g*i + 30*g*m**3 + 304*g*m**2 + 2*g*m + 276049*g - m wrt m?\nAnswer: 30*g*i*m + 180*g*m + 608*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80207157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let v = 0.1 + y. Let o = -3 + 3.1. Which is the closest to v? (a) o (b) -2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2177, -1\/13, -3\/10, 0.2.\nAnswer: -2177, -3\/10, -1\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122043 - 31104213?\nAnswer: -31231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8)\/(2\/16). Let j(l) = -2*l**2 + 8*l - 5. Let f be j(x). Let d = -14 - f. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6223*g + 728097. Give t(117).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 15 - 2)*(862*z + 297*z - 44*z) to g*z + s and give g.\nAnswer: 14495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -168. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1342, 2212, 3082, 3952, 4822?\n\"Answer: 870*u + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(102)\/sqrt(216) + -5)**2 - 2*((sqrt(153) + 1)**2 + sqrt(153)).\nAnswer: -9355\/36 - 89*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 12) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42679 and 317668.53.\nAnswer: 360347.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90865 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/49 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2885*k - 325995. Determine t(-113).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8577055 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/3 + 14*b**3\/3 - 16*b**2 + 39*b. Factor v(g).\nAnswer: 4*(g - 1)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhosvoo. What is prob of sequence vovs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -2019248.\nAnswer: -2019248.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 5 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1036 divide 228740512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let u(x) be the second derivative of -2 + 8*x + 1\/2*x**3 + 0*x**2 - 3\/4*x**4. Calculate u(h(o)).\nAnswer: -9*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/1617)\/(-8 + (-2398)\/(-308)) + (-1501)\/(-105)?\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -72.9?\nAnswer: -72.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(10\/(-105) + 185\/840)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63557 - 0?\nAnswer: 63557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y + 0 + 2)*(-269*y - 389*y + 197*y).\nAnswer: -922*y**2 - 922*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8 - (-24 + 21)) + -17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 2*v - 56 + 7*v to the form x + s*v and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*m - 10*o - 5, 3 = 3*m + 3*o. Let y(w) = -3*w**2 + 2*w - 1. Determine y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105573\/40 + 21113\/8. Let o = -115\/3 + 38. Sort 3, -3, o, k in decreasing order.\nAnswer: 3, k, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 711746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -m + 4*m. Let p be 60\/9*(-60)\/m. Suppose 0 = 3*o - 9 - 6. Calculate the greatest common divisor of p and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.28708697 to three dps.\nAnswer: -8.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/12 - (143\/(-33) + 5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let k(t) = 35*t**2 - 22*t - 6. What is k(b(y))?\nAnswer: 35*y**4 + 22*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 701 + 177 + 177 - 34*w**2 + 165.\nAnswer: -34*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 481, 484, 485, 484, 481, 476?\n\"Answer: -m**2 + 6*m + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - 179*p + 2102. Give x(11).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + g - 58 = 0, 0 = 2*s - 3*s - 4*g + 23. Let i be 2\/(-8)*(s - 11). Solve i = 3*q + 2 - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let h(j) = j**3 - 7*j**2 + 6*j + 5. Suppose 4*l - 6 = 18. Let w be h(l). What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015215 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 159, 629, 1419, 2535, 3983?\n\"Answer: p**3 + 154*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10230240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -864806\/5 greater than -172960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:57 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61615 and 15200.21224?\nAnswer: 76815.21224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/465024 and -167\/1344?\nAnswer: 465024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*b**3 + 1013*b - 433*b**3 - 389*b + 5 + 221*b**3 in the form u + a*b + i*b**3 + s*b**2 and give a.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*b)*(-6 + 7 - 17) + 2*b - 1 + 1 + (2 + 2 - 6)*(4*b - 2*b - 3*b) - b + 3*b + 0*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(448)\/(2*sqrt(8))*-4)\/(-6*sqrt(128) + sqrt(200)*-2) + 2.\nAnswer: -2*sqrt(7)\/17 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * 5.13\nAnswer: -8.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001351 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*n - 41, 16 = 4*d + 2*n. Sort -5, d, -4, 1, -439.\nAnswer: -439, -5, -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 - 5*h**4 + 3*h**4 + (13 + 10*h**2 - 13)*(0*h + 0*h + h**2) in the form z*h**3 + r*h**2 + y*h + g*h**4 + f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 11*v - 124 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 - -11201003?\nAnswer: 11202310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biyilif. Give prob of sequence yf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 26337 = -l, -15*l - 39505 = -3*p - 13*l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/2 + 23*r**2\/2 - 38*r = 0 for r.\nAnswer: 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/209, -0.029, 61.4?\nAnswer: 61.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1575 is divided by 181?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -11. Suppose b*a - 4*a = 5. Suppose 0*d = 2*d - 6. Solve 16 = a*j - d*r, -j - 4*r = -1 + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 47*r = 708. Let o be ((-10)\/15)\/(4\/(-78)). Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/21 - 40*o**4\/21 - 44*o**3\/3 - 160*o**2\/3 - 1850*o\/21 - 1000\/21 = 0. What is o?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 1400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1495 + 2668. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5))**(-26)*(m**(1\/5)\/m)**(-4\/9) assuming m is positive.\nAnswer: m**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -22*3 + 0. Let z = d - -99. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.46 - -2.46. Let z = 44.4 + m. Round z to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 44*w = 8. Let g be (-3 - 0 - -2) + 8. Let d = g + w. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8343 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**3 - 14*v**4 + 13*v**3)*(4 - 4 - v).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -30584*i + 13. Determine p(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 97. Let b be 6\/(-2) - j\/(-5). Suppose 0 = -11*x + b*x + 40. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 (base 12) in base 2?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*d - 349*d = 27426 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 53, 2\/13 in decreasing order.\nAnswer: 53, 2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 3*v - 2*v)*(-1 - 3 + 2)*(2*v - 7 - 10 - 1)*(-2 + 1 + 0)*(-48 - 17 + 130) to the form s*v + w*v**2 + m and give w.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*q - 27*i + 22*i, 3*q + 3*i = -18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6516810 to the power of 1\/2, to the nearest integer?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 + 10*k**3 - 4 + 0 as p*k**2 + d + c*k**3 + t*k and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13339100 and 80.\nAnswer: 53356400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712985553?\nAnswer: 3, 7, 271, 41761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1539427.69 and -14?\nAnswer: 1539441.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**2. Let n(t) be the first derivative of 6 - 2\/3*t**3 + 0*t + 0*t**2. Calculate n(h(x)).\nAnswer: -338*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t + 35*t - 45. Suppose t = -3*s + 51. What are the prime factors of 1088\/s - 10\/(-35)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 - 230. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -605522.\nAnswer: 5\/605522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*y + 33 - 0, -2*y + 5*v = 7 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let l(o) be the third derivative of -3*o**5\/20 + o**2. Give w(l(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 4756?\nAnswer: 33292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**2 - 58*i - 1781 wrt i.\nAnswer: -16*i - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-7)*m)\/m)\/(m\/((m\/(m\/(m*m**(-6\/5))))\/m)))**(-50))**(-25\/3) assuming m is positive.\nAnswer: m**(7250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.72 - -62.72. Let f = -1050237 + 1050299.0089. Let r = x - f. Round r to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-169)\/117)\/(65\/(-15)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120.2 - -120. Let p = -2 - -2.1. What is the third smallest value in z, -2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 7:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.5 - -34. Let j = 3.1 + -3.19. Let n = j + -1.91. What is the third smallest value in y, n, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 + 0*v**2)*(0*v + 2*v + 0*v) + v**3 + 4*v**2 - 5*v**3 - 3*v + 2*v**3.\nAnswer: 4*v**3 + 4*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -135, 56, 313 in increasing order.\nAnswer: -135, -5, 56, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14910, -29267, -43614, -57945, -72254, -86535, -100782, -114989?\nAnswer: -129150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694528*t - 1994865*t + 2 - 2.\nAnswer: -2689393*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20460\/2170)\/(88\/112).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-3)\/q)*q)*q\/(q*(q*q\/(q*q**(-2\/11)\/q*q)*q*q*q)\/q)*(q\/q**(-2\/23))\/(q*q**(-2\/3)\/q))\/(q**3*q*q\/(q**3*q))**(1\/28) assuming q is positive.\nAnswer: q**(-116119\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -65. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 8:17 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 2881472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + y + 76876 - 1882 = 0, 0 = 5*t - 2*y - 374979. Let p be 77408\/3 - (-8)\/24. Suppose -t = -4*i + p. What is i rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l. Suppose 27 = 15*p + 12. Determine r(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p**(-2\/7)\/p)\/p*p)*p**(2\/7)*((p\/p**(-2))\/p)\/(p*p\/(p**3\/p)) assuming p is positive.\nAnswer: p**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 4, -1, 2 in descending order.\nAnswer: 41, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y + 4*u - 9, -y - u = 0. Let j be (16\/(-8))\/(y*4). Let r = -0.7 - -0.2. Which is the biggest value? (a) r (b) 1\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14\/t)\/t)\/(((t\/((t\/(t**(-1\/3)\/t))\/t))\/t)\/t) assuming t is positive.\nAnswer: t**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/30 - g**4\/4 + 2*g**3\/3 - 14*g**2. Let l be b(-3). Does 18 divide ((-2)\/3)\/(l\/(-150))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 at least as big as 17398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 846?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46535918 to the nearest integer?\nAnswer: 6822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -176549 = -5*w - 2*a - 67054, 0 = w + 3*a - 21886. Is 121 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 8. Let j = k - 1. Which is the biggest value? (a) j (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -18*m - 65. Suppose -4*r + m*r = 1377. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.113 and 2.\nAnswer: 0.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -61, -164, -367, -700?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -16, -5, 4 in descending order.\nAnswer: 4, 1, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(936) - sqrt(936) - sqrt(936))\/sqrt(128)*3*6.\nAnswer: -81*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1632 - 1?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 24*k**2 - 12*k**2.\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -53\/4?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 5. Let u = 4 - h. Let x = u - -4. Solve -x*a - 3*m + 12 = -4*m, 16 = 2*a - 3*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11991 or 12017?\nAnswer: 11991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let v = -57 + 57.087. Let n = 7.087 - v. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.22 + -1.2279. Round b to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11843 is divided by 122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4 - (-91)\/14)\/(-1). Does 32 divide 6068\/24 + 3 + (-1)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l. Let q(w) = w**3 - 8*w**2 + 3*w + 4. Let h be q(7). Let u(r) = -18*r + 5*r - 14*r - 27*r. Determine h*t(z) + 5*u(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/20*-2 + (-3)\/15. Suppose -2*q - g = -0. Let z be 261\/(-81) - q\/9. What is the third smallest value in -3\/2, -2\/11, -2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = 7975 - 100885. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {h: 3, a: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 5*q**2 + 19*q + 35. Determine s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 - a + 223 - 96*a**2 + a.\nAnswer: -96*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 529.\nAnswer: 264.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10297382\/9 - 9679517219\/8460. Let g = t - 1\/1410. Find the common denominator of -71\/2 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1416780 and -121\/90?\nAnswer: 1416780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324984934 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -31 + 19 - -17 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6323 - -50519\/8. Find the common denominator of w and (-484)\/60 - 4\/(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18 + 7344 + ((-6)\/(-10))\/((-5)\/(-50)).\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*b**4 + 6\/5*b + 0*b**2 - 3\/5 - 6\/5*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 290.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 847.92 years?\nAnswer: 10175.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42825511 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 15287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 338? (a) 18 (b) 0 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.50713397 * 0.01.\nAnswer: -0.0050713397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 1920190*u**2 + 184496575740*u - 26895584848680.\nAnswer: 5*(u - 191946)**2*(u - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2484441, 4968933, 7453425?\nAnswer: 9937917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 57*s**3 + 11*s**3 + 8 + s**3.\nAnswer: -45*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/2 + 69387*c**2 + 4299285*c\/2 + 4021749 = 0.\nAnswer: -46227, -29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -9. Let y be 8\/m + 18*1. Suppose -2*s + 0*s + y = 0. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-3))\/(5\/45). Let n(r) = -r + d*r - r. Let g(l) = -3*l. Determine n(g(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 27590.24 microseconds?\nAnswer: 27.59024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 74. Let r be (-3 + 36\/u)*150\/18. Solve -11*m - r = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u**(-4)\/u*u**(2\/3)\/(u**(-6)*u))\/(((u*u**(1\/4))\/(u*u\/u**0))\/(u*u\/u**0)**(1\/7)) assuming u is positive.\nAnswer: u**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -7.06534 (c) -0.49 (d) 0.5 (e) -3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnb when three letters picked without replacement from {p: 1, b: 2, j: 1, n: 4, d: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -582786*r**3 - 1185359*r wrt r.\nAnswer: -3496716*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 955\/(-1146) - (-25390)\/12. Calculate the highest common divisor of v and 1645.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -10. Suppose -n + l + x = 0, 0*n + 2*l + 22 = 4*n. Suppose -152 = -g - n*g. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 2*i + i - 1 - 4*i as r*i + g and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 - 13 = 0. Let d(b) = -2*b**3 - 5*b**2. Let y(v) = 3*v**3 + 8*v**2. Let c = 16 - 11. Determine c*y(g) + t*d(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p + 3. Let l = 2 + -1. Let y be 0 - (l - 66\/62). Is y at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 46*u + 2722. What is i(-26)?\nAnswer: 1526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -49. What is the smallest common multiple of t and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*d - 896*d = -5032 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1 - (-46 + 48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-6) + (-2)\/2 + 0. Suppose 3137186 = -j + 5*y, -3*j + 3*y - n*y = 9411478. Let k = j - -777166. What is k rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33814.98 * -0.4\nAnswer: 13525.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 141421?\nAnswer: 141412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383582.611 rounded to the nearest 10?\nAnswer: 3383580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*x = 5 - 15, 8 = 3*m + x. Suppose 3*s = -2*r + 7, -m*r = s - 2*s - 5. Solve 2*u = -5*q + 14, -u - r*q + 5 = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 1123268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -13\/2541504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131.988 + -0.012. Let u = -157.9 - k. Let q = u - -25.89782. What is q rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 4. Let i be p(5). Is ((-10)\/(-4))\/5 - 8823\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 51*m + 154. List the prime factors of q(-25).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1030447, -2060889, -3091329, -4121767, -5152203?\n\"Answer: q**2 - 1030445*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, n: 5, x: 1, r: 6, m: 3}. Give prob of picking 4 w.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**2 + 1554*i + 2477. Determine v(157).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 18*f - 14. Let q be g(-17). What is the common denominator of -53\/6 and q + 0 + -1 + 1998\/(-297)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-1)\/3). Let p be (24\/60)\/(c\/(-55)). Solve 3*u - s + 3*s = -17, 0 = -2*u - s - p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -438*j**2*m**2 + 6339164*j**2*m + 144*j*m**2 - 2*m**3 wrt m?\nAnswer: -876*j**2 + 288*j - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)\/((-2)\/(-2)). Suppose -y + 8 = -3*t, -3 = 5*t + 17. Let k(h) = h**3 + 3*h**2 - 6*h - 6. Let g be k(y). Put g, m, -3 in descending order.\nAnswer: g, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(sqrt(704) - -2*sqrt(704)))**2 + ((sqrt(132) + sqrt(132)*-2*5 + sqrt(132))\/(sqrt(108)\/sqrt(81) + sqrt(12)))**2.\nAnswer: -576*sqrt(11) + 228496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -3*w + 34, 4*w - 70 = y. Suppose -2*h = 4, 0 = 4*j + w*h - 14*h + 28. Which is the nearest to 1? (a) 1\/7 (b) 0.5 (c) -4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 41490066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-90) - 2\/6. Sort 1, 0, g in decreasing order.\nAnswer: 1, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/107, 3, -1\/602, -84?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 10*i + 16. Let n be x(7). Let j be (-4)\/3*(-6)\/(-4). Let c be 1*(-2 - j) - -3. Sort c, 2, n.\nAnswer: n, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(780\/36)*(-5)\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107619 or -910?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i - 5 + 5 as d + j*i and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149461?\nAnswer: 13, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2077 and 837?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 10*w + 216 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - -102212?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m - 17 = -5*z, 4*z = 20. Let i = -30.2 + -51.3. Let n = i + 82. What is the closest to m in -3, 0.2, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 9*w**2 + 1. Let b(t) = -11*t**2 + 12*t + 6. Let j(r) = 2*r**2 - 2*r - 1. Let x(v) = -b(v) - 6*j(v). Give x(u(c)).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 51*i**2 + 53380*i + 6704. Determine v(258).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-26)\/20))\/((-22)\/11)*4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 7773263*c\/2 + 11659899.\nAnswer: -(c - 7773266)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmml. What is prob of picking 1 m and 3 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 - -554. Which is the third smallest value? (a) -5 (b) -3\/2 (c) v (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -1 (c) -5 (d) 0.44 (e) -1.1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/138)\/((-1)\/(-4)). Let r = -11.84 - 0.16. Let d = 17 + r. Which is the closest to 2\/3? (a) j (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.059228 kilograms?\nAnswer: 1059.228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 47*k - 20 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/(-770))\/((-72)\/(-63)))\/(9\/2).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4. Suppose 4 = 5*v - 5*m - i, -3*v - 3*m = -21. What is the second derivative of -2*s**v + s**3 - 2*s - s**3 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 r when three letters picked without replacement from zzrrzzrzy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 11 = 6, 4*z - 206 = 2*v. Let a = 144 - z. Calculate the remainder when a is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/5)\/(z**(-6)*z)*(z*z\/z**(-2\/3))**(-37)*((((z**5*z)\/z)\/z)**(-1\/4))**28 assuming z is positive.\nAnswer: z**(-1822\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = 3*g - 4*y, 0 = -5*g - 2*y + 10. Solve -5*w - 8 - 17 = g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 391*v**2 + 18677*v - 171. What is x(83)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w*w*w*w*w*w**(1\/7)\/w)\/(w*w**(1\/3)*w*w)**19)**(2\/43) assuming w is positive.\nAnswer: w**(-4993\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -187877460 divided by 12525164\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 2, x: 1, o: 1, s: 2}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1080*o**3 + 3*o**2 - 6*o - 25?\nAnswer: 6480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31076 + 7814 + 22683)*(-2*k**2 + 4*k**2 + 0*k**2) to the form v*k + n + y*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 15. Let u = 6290 + -6287. Sort 0, -2, m, u in increasing order.\nAnswer: -2, 0, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -219. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (-2 + sqrt(26)\/sqrt(2))**2 + (1 + sqrt(13) - sqrt(13)) + 0.\nAnswer: -3*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639*41.\nAnswer: 26199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccppjcccc. What is prob of sequence pjcc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33220 - 21109. What are the prime factors of q?\nAnswer: 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t. Let y(g) = -13*g + 16*g - 5 - 6 + 11. Determine y(o(u)).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - s**3 - 411*s - 2*s**2 - 1 + 409*s as n*s + l*s**3 + i + k*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.29561667 rounded to four dps?\nAnswer: -3.2956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 466 = 2*l. Suppose 24 = 3*b - 30. Calculate the remainder when l is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j. Let q(s) be the second derivative of 107*s**4\/12 + 47*s - 1. Give n(q(o)).\nAnswer: -321*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 q when four letters picked without replacement from {e: 4, q: 4, z: 3, n: 9}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 10471*b + 241370. What is i(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 791*p**5\/60 - p**4\/6 - 139*p**3\/6 - 279*p**2. What is the second derivative of r(s) wrt s?\nAnswer: 1582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzfngyzggfzz. What is prob of sequence nk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - -2) + 1784946\/(-35949).\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(((-2)\/(-3))\/(16\/108)). What is the closest to x in -0.4, 3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115832, -115834, -115836?\nAnswer: -115838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.4 + -60. Let w be (-9)\/18*1*8. What is the nearest to 2 in b, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 - 2*c - 5. Determine h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1057? (a) -2 (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -47*f**4\/24 + 8*f**3\/3 - 33*f**2\/2 + 42*f. Let w(q) be the first derivative of m(q). What is the tens digit of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36947087 is divided by 262036?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17) + 3)*-4)**2*-1 - ((sqrt(17) + 2 + 5)**2 + -2*sqrt(17) + -4).\nAnswer: -478 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:53 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -18*w**3 + 1746*w**2 + 21*w - 2172. Determine x(97).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 126 = -47 + 81. Calculate the lowest common multiple of p and 848.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmirlcl. What is prob of sequence rjc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -2. Let v be 660\/(-80) - (2 + -10). Which is the closest to 2\/5? (a) v (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240 and 400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.073 - 4.227. Let x = -0.7 + g. Let v = -3.22 + 0.22. Which is the smallest value? (a) 0 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 3*j**4 + 2*j**4)*(-134*j + 357*j + 427*j - 54*j).\nAnswer: 596*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 22 - 166 = 0. Let b(n) = -n + 6. Let r be b(0). Let q(i) = 4*i + 6. What is the remainder when q(r) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*q + 19 - 9*q - 19.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -323509538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5\/7 - 76*m**4\/7 + 20*m**3 - 68*m**2\/7.\nAnswer: 4*m**2*(m - 17)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12744890 by -2798.\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39445363*n**3*s**4 + n**3*s + 3*n**2 + 2282*n*s**2 + s**5 - 121*s**2 + 22 wrt s?\nAnswer: 946688712*n**3*s + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-232)\/(-112) + -2)*-4)\/((-12)\/714)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = -4. Let j = v + 0. Suppose -j - 6 = -k. What is the highest common divisor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (4 + 1 + (37 - 54) - 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*n - 10, -2*n - 32 = 2*s - 14. Let u(b) = -b**2 - 5*b + 5. Determine u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*c + 30*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x, 97 = -40*f + 39*f - 4*x. Which is bigger: f or -792\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.15 (b) -4 (c) -3.02 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**3 - 14*k**2 + 14. Let u(f) be the second derivative of -f**5\/20 + f**4\/4 - 3*f**2\/2 + 16*f - 2. What is 3*p(s) + 14*u(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 333. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*i + 4, -i - 4*x - 1 = -8*x. Let n be (-1 - i) + 3 + -2*1. What is the greatest common divisor of 9 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-402))\/5)\/((-7028)\/(-10542))*24\/2.\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*o - 10, -16 + 8 = -4*o - m. Solve u + 16 = o*z, -13 = z - 4*z - 2*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6953\/110 or -62?\nAnswer: -6953\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*(66\/(-18)*-3 - (-1593)\/(-99)).\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -8f2?\nAnswer: -8fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.13, -0.5, 22, 0.5, 0.9, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -21 - 25 - -29?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -3, 0.3, 0.1511?\nAnswer: 0.1511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(1\/27)\/((w*w**(-5\/3))\/w*w*w\/(w**(-5)*w)))\/((w**(-2\/3)\/w)**(-6\/23)\/((w*w\/(w*w**(-2\/7)))\/w*w**(-1)*w)) assuming w is positive.\nAnswer: w**(-19807\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1280, -3692, -6090, -8468, -10820?\n\"Answer: g**3 + g**2 - 2422*g + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, e: 2, b: 1, a: 1, v: 1}. What is prob of picking 1 u and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o + 1. What is the remainder when a(3) is divided by (0 - (-2 - -3)) + 10*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j*m**2*q - 2*j*m**2 + 2*j*m*q**2 + 2*j + m**3*q**2 - 3*m**3*q - 2*m**2*q**2 wrt q?\nAnswer: 4*j*m + 2*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2219 + 4299. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42267639, -42267638, -42267637, -42267636?\n\"Answer: i - 42267640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 + 3764157?\nAnswer: 3764567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133199348?\nAnswer: 2, 19, 23, 181, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 867 (b) 5 (c) 0.2 (d) -4 (e) 430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 85 = -37*y. Solve -4*s + 4 = -3*f, -30 + 2 = -y*s - 3*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = m + 445, 0*m + 461 = 3*y - 5*m. Let v = y - 17. Let c = -127 + v. Solve 0 = -3*r + c + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 4*k + 21. Let z be o(3). Solve z = -3*m + 8 + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*g**2*s**2 + 3949*f*g**2*s + 4*f*g*s + 6*f*s**3 - 3779*g**2*s**2 - 3*g**2*s wrt s?\nAnswer: 6*f*g**2 + 36*f*s - 7558*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59558*u**3 - 17*u**2 - u + 186 wrt u.\nAnswer: 357348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(18) + sqrt(2) + 1*sqrt(2) + 4)*-5)**2.\nAnswer: 2000*sqrt(2) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26640*i + 5*i**3 - 2 + 22076*i + 2.\nAnswer: 5*i**3 - 4564*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21203 (base 5) to base 3.\nAnswer: 1221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/136080 and -139\/5443200?\nAnswer: 5443200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-4*(sqrt(99) + sqrt(99) + 6*1*sqrt(99))*3)**2*-3.\nAnswer: 10948608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 895338871 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53135 - 0?\nAnswer: -53135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y. Suppose -2550 + 1032 = -3*j. Let q(c) = -506 + j + c. Give -l(b) + 4*q(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 9*b + 2 - 4*b to the form m + j*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdr when three letters picked without replacement from tprdm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1101100001110010?\nAnswer: -1101100001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u - 2*n + 15, 3*u - 38 = n. Let q(g) = -29*g**2 + 15*g**2 + 19 - 9*g + u*g**2 - 4. What is q(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2*j**2 - 8 - j**2 + 0 + j**3. Does 19 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - (-165)\/135. Let n be (-201)\/(-5) + -2 + (-9)\/(-5). Let b be (n\/45)\/4 + (-50)\/(-18). Solve 4*q - y = b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {v: 3, d: 1, y: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 13*f**3 + 1 + 6*f**3 - 22*f**3)*((2*f + 4*f - 4*f)*(0 - 5 + 3) - 14*f + 5*f - 14*f).\nAnswer: 81*f**4 + 27*f**3 - 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 14, r: 5}. Give prob of sequence rryv.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 4*p**2 + 1 + 29*p + 12*p**2. Is n(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -3*h**2 + 1\/120*h**6 - 1\/6*h**3 + 1\/12*h**5 + 0*h + 1\/6*h**4 + 0. Calculate u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzzz when four letters picked without replacement from czvzzzzzz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 290, 291, 292, 293, 294, 295?\n\"Answer: z + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 584*l**3 + 6*l**3 + 791*l**3 + (3*l**2 + l**3 - 3*l**2)*(2 - 2 + 2) + 0*l**3 + 0*l**3 + l**3 - 3*l**3 + 3*l**3 + 2*l**3 + l**3 - 1 + 1.\nAnswer: 1387*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + ((sqrt(28) + sqrt(168)\/sqrt(6))\/sqrt(4))**2 - (sqrt(63) + -2 - sqrt(63)).\nAnswer: sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4454289 = 39*m - 2249871 - 3549681. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-5\/4)*(j\/j**(-1\/3))**(1\/29)*((j**(1\/2)\/j)\/(j\/(j*j**7)))\/(j**7*j\/(j\/j**8)) assuming j is positive.\nAnswer: j**(-3377\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214 - -251. Suppose -105 = j*b - 40*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 65*s + 5. Is p(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 5*w**2 - 3*w - 5. Determine p(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x**2 + (3 - 3 + 2*x)*(-x + 5*x - 2*x) + x**2 - x + x - 4*x**2 + 2*x**2 + 0*x**2)*(3*x**3 + x**3 - 3*x**3).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - x - 2. Let r be m(2). Let o(i) = -i + 11. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -15. Suppose 3 = r*u - 2*b + 1, -2*u = -4*b. Suppose u*s + 4*s - 84 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4 - 2276*u - 2181*u + 4483*u. Let c(z) = -11*z**2. Give y(c(s)).\nAnswer: -286*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 - v - 359. Let u(c) = 105*c. What is u(a(y))?\nAnswer: 1050*y**2 - 105*y - 37695","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0.8, 1\/899, 93 in decreasing order.\nAnswer: 93, 0.8, 1\/899, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88743449 and 1.5571.\nAnswer: 88743450.5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + p - 528 = 236, -l + 4*p + 208 = 0. Let w be 9\/(-12) + 18064\/l. Find k, given that 16\/9*k**4 + w*k + 1012\/9*k**2 + 80\/3*k**3 + 196\/9 = 0.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -515 in -0.3, 0.5, 16, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/39, 245, -1, -4, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 71*p**2 - 1916*p - 40. Determine y(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + 21*r**4 - 2 - 5*r - 10*r**3 + 10*r**3 to h*r + l*r**2 + p*r**3 + w*r**4 + f and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 276*s**3 + 8*s**2 + s - 8. Let f(r) = -r**3 - 4*r**2. What is -2*f(g) - k(g)?\nAnswer: -274*g**3 - g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (2 + -8)*(-2)\/6. What is the tens digit of 129 + (-7 - (-4 + k))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 2. Let v = z + 19. Suppose -5*s = 5*l - 510, -4*s - v + 458 = -5*l. What is the remainder when s is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 2 - 1 + 0*p)*(-4*p**3 - 10*p**3 - 4*p**3).\nAnswer: -54*p**4 - 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let d(l) = -2*l - l**2 + 0*l + 43*l**3 + v*l**2 - 4*l**2 + 2. Let w be d(1). What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3230, 13036, 29416, 52370?\nAnswer: 81898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43478502 + -1?\nAnswer: -43478503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2. Let v be (-20)\/4 + 11 + -1. Suppose 3 = i + v*u - 0, -4*u - 3 = -i. Let k(y) = 4*y + 3 - i + y. Calculate z(k(m)).\nAnswer: 250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22325, -43904, -65483?\nAnswer: -87062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/30 + 2*i**5\/15 + i**4\/6 - 4*i**3\/3 - 6*i**2. Solve u(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:26 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18812942 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: Put -0.08, 0.2, -0.1, -2\/9, -4 in increasing order.\nAnswer: -4, -2\/9, -0.1, -0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v**3 + 4*v**2 + 2*v - 5. Give w(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10100100 (base 2) to base 11\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.8 - 12. Let m = 4\/37 + 38\/333. Let y be (0 - 1\/6)\/(-1). Which is the biggest value? (a) m (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*w**4 - w**4 - 2)*(2 + 2 + 2).\nAnswer: 12*w**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205489 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/5*55\/22. Suppose -n*r + 0*r = 54. Let j = r + 17. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151016 (base 9) in base 6?\nAnswer: -1552410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1370, -1364, -1354, -1340, -1322, -1300?\n\"Answer: 2*f**2 - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19846029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -237. Suppose -130*g = -f*g - 546. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)*s)\/(s**(-9)\/s))\/(((s\/s**(-3\/8))\/s*s)\/(s*s\/s**(-2\/7))) assuming s is positive.\nAnswer: s**(653\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*q = 0, b = -b - 3*q. Let t(y) = -2*y + 2. Let r be t(-6). Solve b = -4*z + 4*i - r - 14, -4*z - 23 = -3*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2229*d**3\/2 - 287409*d**2\/2 + 300513*d - 17292 = 0.\nAnswer: -131, 44\/743, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**3 - 3*r**2 + 2. Let h be ((-2)\/(-6))\/(26\/702). Let o(f) = -5*f**3 - f**2 + 1. Calculate h*o(y) - 4*x(y).\nAnswer: -y**3 + 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 14*f**2 + 2*f - 19. Let p be y(14). What is the remainder when 43 is divided by (-6)\/p + (-64)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*v - 37 = 0, -3*i - 17 = 3*v - 4*v. Let w = -2 - i. Suppose 5*h + 2*o - 72 = 0, -4*o - w = 14. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose -i + 4*x = -0 - 22, r = -i + 2*x + 12. Suppose 0 = -i*c - 0*c - 8, 0 = -t - 2*c + 57. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from zqqzzzqzqq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-27))**17*s**(10\/3)*s*s*s\/((s*s**31*s)\/s) assuming s is positive.\nAnswer: s**(-1454\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jje when three letters picked without replacement from juuejjeujueuue?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 2. Let p be u(0). Let r be 5 + -3 - (p + 0). Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 4 = 3*w. Suppose -2*a + 36 - w = 0. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -97, -194, -299, -394?\n\"Answer: 3*o**3 - 31*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7085444 is divided by 3542722.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.255 + 38. Let r = c - -0.35. What is r rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -38, -60, -84, -110, -138, -168?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:21 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 - 13*m**2 - 13*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3) - -1*(31 + -26)) + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210848, 210951, 211054, 211157?\nAnswer: 211260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -1\/2*s**2 + 0*s + 42. Let j(q) = -4*q. Give m(j(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1039 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from hyjqw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 30*s + 5. Calculate the remainder when b(1) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 1830 = 12*k. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -10\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81806 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: Simplify ((t**(1\/3))**41\/(t**(2\/7))**(-13))**(25\/3) assuming t is positive.\nAnswer: t**(9125\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 881, -3, 1\/5, 0.08, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k + 36. Let h be g(8). Let u be h\/(-6) - (-301)\/21. Let w be 0*2*(-4)\/16. Solve 0 = -3*s - 3*x + u, -5*s + 5*x = -w - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 t when four letters picked without replacement from tstsdtg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10438 + 19327. List the prime factors of p.\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004269688 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 898 = -3*a, 5*a = -0*x - 3*x + 542. Let z = -266 + x. Let u = z - -135. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 48*y - 96. Let m(p) = -3*p + 6. Let g(q) = -2*f(q) - 33*m(q). Let v be g(4). Is (v - 260)*(-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.269733 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3286, 3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8105 + 8100. Sort -1, 2, 5, -299, n in decreasing order.\nAnswer: 5, 2, -1, n, -299","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilfhtiiihhhtef. What is prob of sequence hi?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 9 = 7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1149849410353\/24912862 - -475\/470054. Let n = j - -46157. Let d = -3647\/636 + n. Find the common denominator of 31\/4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16*y - 13. Let s(d) = -2*d + 8. Calculate k(f) - 3*s(f).\nAnswer: 22*f - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5)*w**(1\/10))\/(w\/w**4*w)**24 assuming w is positive.\nAnswer: w**(541\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 10. Suppose -2*h + h = -3*y + 2, 3*h = -2*y - 17. Let v be b(h). Differentiate 2 - 2 - 2*o**4 - 1 + v with respect to o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 65?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 m when four letters picked without replacement from bzmmbmmmzmzzmzzmukzz.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 267. Suppose -o = s - 1289. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61028526.\nAnswer: 2, 3, 13, 409, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8)\/224*2*-1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8 + 26 - 7) + -35.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlw when three letters picked without replacement from {m: 1, w: 6, l: 3, i: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1143 = -0*f - 3*f, 1145 = 3*f + 4*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32210 (base 4) in base 3?\nAnswer: 1021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112 + 91 + a**2 + 22*a**3 - 210 - 2*a + (-a**2 - 2 + 2)*(-a + 1 - 1) + 4*a**3 + 2*a**3 - 3*a**3.\nAnswer: 26*a**3 + a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*((sqrt(153) + 1 + -4 - 2*(0 + sqrt(153)))*4 + -3)**2.\nAnswer: 1440*sqrt(17) + 10689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d + 4. Find the second derivative of -2*v**4 + 27*v**4 + 6*v - 5 - 6*v**d wrt v.\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 15) in base 6?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1486, -2559, -4370, -6919?\n\"Answer: -369*w**2 + 34*w - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 0.3. Let y = -6459 + 6459. Sort o, y, 2\/27 in descending order.\nAnswer: 2\/27, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-18) - 7*63\/27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-8)*7)\/((-63)\/42). Let m(c) be the first derivative of -c + c**3 - 1\/2*c**2 + 1\/4*c**4 + a - 2\/5*c**5. Factor m(l).\nAnswer: -(l - 1)**2*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -0.391?\nAnswer: 0.2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317640 is divided by 107941.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 4)\/(-1) - (-3280 + -2).\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**2 + 80*q - 15.\nAnswer: -5*(q - 3)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -127893000221 - 102\nAnswer: -127893000323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1. Let n(o) = -7*o**4 - 19*o - 1. Let g(u) = c(u) + n(u). What is the second derivative of g(i) wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -5, -1, 54, -3, 0 in decreasing order.\nAnswer: 54, 0, -1, -3, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhphhhhhhhhphhh. What is prob of sequence hhpp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*43\/((-516)\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 66*i - 278*i + 94*i + 66*i + 82*i + 69*i.\nAnswer: 97*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10617992?\nAnswer: 2, 7, 11, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5929) - sqrt(5929))\/sqrt(7) + (sqrt(70)\/(sqrt(20)\/sqrt(2)) - (sqrt(7) - (sqrt(112) + -5) - sqrt(7))))**2.\nAnswer: 170*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 556998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6885332.\nAnswer: 6885339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 5. Let y be n(-3). Let p be 62*(-6)\/(144\/15)*y. Calculate the highest common factor of p and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226.4 - -4.\nAnswer: 230.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 63*i**2 - 764*i + 23. What is h(12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 1. Let u be 3 + (-4 - -1) - s. Let b = 1773 + -1770. What is the closest to 1 in b, u, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001000100 + 1000?\nAnswer: -10000000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1\/11, 2, -4, -0.012, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -115\/384?\nAnswer: -115\/384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b - 195 = 0. Let f be (90\/b)\/2 + 1. Let d = -86 + 82. What is the closest to -2\/5 in d, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(130) - (sqrt(130) - (sqrt(130) + 3*sqrt(130))))*-4*-2)\/((-6*(sqrt(10) - (sqrt(10) + 3*sqrt(10))) - sqrt(10)) + sqrt(1210) + sqrt(1210)*-1).\nAnswer: 96*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c + 2*i, 6*i + 11 = 5*c + 4*i. Suppose 16 = -4*u - 0. Calculate the least common multiple of 2 and (0 + u\/c)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 3*b - 6. Let y be c(6). Suppose 3*g - y = -0*g. Let z(d) = d**2 - 2*d - 3. Give z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001322115907 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4895655 by -12.\nAnswer: -1631885\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1342 and -0.01478659.\nAnswer: -1342.01478659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -24 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:46 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from jxjjjjjxpjjxjc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292816\/67 or -0.1?\nAnswer: -292816\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906772780?\nAnswer: 2, 5, 45338639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/21942 and 137\/12.\nAnswer: 43884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 761149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1320 - -1319.8. Let k be (8\/(-10))\/((-2)\/10). What is the closest to p in 0.5, k, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, -5*h + 92 = -h + 3*d. Suppose 3*i = 2*i + h. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.25, 1\/3, 4, 5\/3, 0, 5 in increasing order.\nAnswer: -0.25, 0, 1\/3, 5\/3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 10. Let q be y(7). Let k = -156 - -163. Sort k, -0.3, q in ascending order.\nAnswer: q, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35\/4 + 183\/20. Determine q, given that -v*q**2 + 0 - 2\/5*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 0 (c) -0.012 (d) -0.39 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4\/13*x**4 + 1\/39*x**6 + 0*x + 6 + 8\/39*x**3 + 2\/13*x**5 + 0*x**2. Factor z(g).\nAnswer: 2*g**2*(g + 1)*(g + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*c + 66. Let a(b) = b**2 + 6*b + 17. Let v be a(c). Let f(t) = -t + 18. What is f(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {i: 7, g: 3, y: 4, e: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z - 4. Let i be 1*(-2 + (29 - 2)). Suppose 2*r + 4*c + c = i, r = 3*c - 4. What are the prime factors of d(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.0966 and 1385.3?\nAnswer: 1383.2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -5)*(-12)\/9. Let w(f) = 0 + 0 - u*f. Let v(r) = -r**2. Determine w(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*x - 127 + 242 = 132, 0 = -h + 59*x - 299 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(1890\/(-390))*(-86)\/(-10) - 12\/45?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*y - 13. Suppose 4*z + 9 + 3 = -y*f, f - 22 = 5*z. What is the nearest to 0.5 in z, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 - f**4\/4 - f**3\/6 - 5*f**2\/2 - f. What is the remainder when 28 is divided by m(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 1009, 1528, 2047, 2566, 3085?\nAnswer: 3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) + (-180)\/1120?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 0 + -28 + 25.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 25. Suppose n + 24 = -3*n. Let c = n - -22. What is the highest common factor of b and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6596)\/(-85))\/((-4)\/10). Let q = 199 + p. Solve 4*c - q*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-3724)*63\/18\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52120?\nAnswer: 2, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, j: 2}. Give prob of picking 3 g.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/(11\/132). Let c = m - -6. Let u = 7 + c. Solve -w + u*n - 25 = 0, -w - 3*n + 20 = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, 3\/5, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 203. Which is smaller: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5))**(-1\/5)\/(((q*(q\/(q\/(q*q**(2\/5))*q))\/q*q)\/q)\/(q\/(q\/((q**(-2\/17)*q)\/q)))))**14 assuming q is positive.\nAnswer: q**(-3794\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 23*m**2 - 1. Let v be f(2). Let s = 191 - v. Calculate the highest common divisor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*a - 96*a - 1652*a**2 + 1628*a**2 - 96*a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.01737975310301.\nAnswer: 0.48262024689699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**4 + 9*l + 21. Let d(v) = 3*v**3 - v**2. Let n be d(1). Let h(o) = 2*o**4 - 2*o - 5. Let c(s) = n*t(s) + 9*h(s). Differentiate c(b) wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 - 14.25. Let v = i - -16. Let h = 11.08 + -10.98. Sort -4, -2, h, v in increasing order.\nAnswer: -4, -2, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1360*y**2 + 4077*y - 13. Determine r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 0*m - 2*m**4 + (-m**3 + 8*m**3 - 3*m**3)*(-3*m + 3*m - m) in the form c*m + s*m**4 + q*m**2 + g + h*m**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 4*n + 16. Calculate r(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23948 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -41166\/3193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 8*z**3 + 246 - 108 + 34881*z**2 - 34881*z**2.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 41*q + 455. What is the thousands digit of a(52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 12. Give j(-38).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1285 = -3*r - p, -8*r - 3*p + 423 = -7*r. Let d = 848 - r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-366)\/(-1) - 0 - (-1 - 0). Let f = 238 - k. What is the tens digit of f*3*(-2)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1860 and 95\/6.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 + -152. Which is smaller: 81 or r?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uds when three letters picked without replacement from {u: 10, s: 1, d: 1, h: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a5 (base 12) to base 10.\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpdykpypkktdttdkk. Give prob of picking 1 d, 1 k, and 1 y.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) 3 (c) -4 (d) -206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -4*q + 0*q**3 + 0 + q**2 + 1\/24*q**5 + 1\/8*q**4 + 1\/240*q**6. Solve b(w) = 0 for w.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1321021?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -356 or -959?\nAnswer: -959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25414 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/3 + 3194*l\/3 - 1064 = 0.\nAnswer: 1, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (507\/(-9))\/(3\/(-9)). Calculate the highest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357*-23.\nAnswer: 8211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 77680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than 915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*s + 560 = -172*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 9*k + 16. Let m be (2 - -1)\/(2\/(-256)*-6). Let t = m - 67. Do k and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -74\/275399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 6. Let y be v(4). Let q = -1 + y. Let k(m) = m**2 - 38*m + 350. Let n be k(22). Which is the nearest to 2? (a) -5 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 1037*h**4\/4 - 109*h**3 - 2075. Find the third derivative of q(i) wrt i.\nAnswer: 6222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**2\/5 + 17656*d\/5 + 987360 = 0.\nAnswer: -4114, -300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223 by 2.\nAnswer: -223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 13*x - 4. Suppose 9*r + 23 = -31. Is 5 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cncn when four letters picked without replacement from {n: 2, c: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 410 + -404. Let y(m) = 7*m**2 - 3*m + 38. Does 17 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2271*f - 555*f + 32915 - 32915.\nAnswer: 1716*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:39 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + c + 7 = 0, 3*c + 6 - 1 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -242 (c) -7.8 (d) 3772\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 19. Let u = -12 + 21. Let j be r(u). Suppose -3*s - j = -6*s - k, -3*k - 25 = -2*s. Solve -s*p = -13 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.4553 and -0.7.\nAnswer: -5.21871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + sqrt(5) + 2)**2*-4.\nAnswer: -96 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -283, -427?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*p - 10*p. What is the units digit of (-2 - (-3 - 2)) + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 4 - 22 = 0. Find the third derivative of 39*o**2 + 56*o**g - 15*o**6 + 0*o**6 - 56*o**3 wrt o.\nAnswer: -1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - j - 95 = 0, -5*z = -144*j + 153*j - 170 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8*u - 52. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -82 + 7 + 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 7*n + 8. Let b be x(6). Suppose 3*t - t = 0. Factor 0*p + t*p**3 + 0 - 1\/2*p**4 + 1\/2*p**b.\nAnswer: -p**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -76.105. Let m = d - 8.895. Which is the second smallest value? (a) m (b) -2 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 6*m - 10. Let b = 13 - 133. Let h be 28\/6*b\/(-140). Is g(h) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159000 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 322, 370, 418?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101690 = 2*j - 7*j + k, 0 = -k. Let j*g**3 - 660*g**4 + 8360*g**2 - 2888*g - 9*g**5 - 4*g**5 - 5*g**5 - 25932*g**3 = 0. What is g?\nAnswer: -19, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:47 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 1, e: 2, z: 5, n: 1, p: 2}. Give prob of picking 1 k and 2 e.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/((-50)\/24))\/((-105)\/175). Let w(b) = -b + 7. Let a = 0 - -2. Let q be (a - 26\/8)*4. Let j(p) = -p + 6. Give g*w(y) + q*j(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 + 2*x**3 - x**2\/3 - 2*x.\nAnswer: x*(x - 1)*(x + 1)*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*j + 2*j. Let d(y) = -y - 1. Let z be d(1). Let o be j + 0 + z\/2. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 4758.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 364\/35 - (9 + -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(18)\/sqrt(2)) - (2*(sqrt(20)\/sqrt(4))**2 - sqrt(5)).\nAnswer: -10 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-12) + 15\/12. Solve 0 = j - m*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 2:51 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83423 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: Four letters picked without replacement from xrxcxxcxxcxxvrrxxr. What is prob of sequence rxrx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 0.739.\nAnswer: 7.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 350?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/10)\/(729\/(-1215)))\/((35\/(-21))\/5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.75000886 - 6.75. Round a to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -6 + (-27)\/18. Let s(q) = q**3 + 16*q**2 + 16*q + 16. Let k be s(-15). Which is the closest to f? (a) k (b) -4 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z + 1. Let k(t) = -4*t - 30. Let o be k(-9). Determine u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 - 12962?\nAnswer: -12965.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.31, 17, 3.1, 1302?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137055 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128315901?\nAnswer: 3, 7, 191, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oynxoyi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17263 (base 8) to base 12.\nAnswer: 466b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -62. Let g = v - -6. Which is the third biggest value? (a) 1\/16 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 17*c = 18*c + 8, -3*n - 5*c - 16 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a + 3 + a - 22*a. Let z(w) = -w. What is x(z(r))?\nAnswer: 5*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1\/4, 43, -1?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)\/(sqrt(40)\/sqrt(4)))\/(-4*sqrt(12)\/sqrt(3)*3).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 12*f**2\/5 - 310*f.\nAnswer: 2*f*(f - 31)*(f + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15*j. Let t(a) be the second derivative of 5*a**3\/6 + 3*a**2\/2 - 607*a. Give w(t(m)).\nAnswer: 75*m + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 44*l - 11. What are the prime factors of p(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 84 = -33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 3*j**4\/4 - 9*j**3 + 81*j**2\/2 - 81*j + 8. Factor i(o).\nAnswer: 3*(o - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 28*d + 385. Let i be a(29). What is the highest common factor of i and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27268 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -31, -29, -7, 41?\n\"Answer: f**3 + f**2 - 22*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 67. Let z(u) = 144 - 56 + 2*u - x*u. Let g be z(17). Is g bigger than 13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3620444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3362*j**6 - 2*j**2 + 425*j?\nAnswer: 403440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 752043 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5 + 59*f + 59*f - 269*f + 60*f + 65*f. What is o(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1011200111122002?\nAnswer: 1011200111122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114\/5 - 344\/15. Let y = 3 + -2.7. Put m, y, 0.5 in increasing order.\nAnswer: m, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(-51)*-6*(-58681 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1070, -1211 in decreasing order.\nAnswer: 1070, -5, -1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10293994 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n*n**(-2))*n*n)\/n)*n*n)**(2\/51)\/(n\/n**(2\/7))**(-47) assuming n is positive.\nAnswer: n**(11971\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 1, p: 2, l: 4, c: 1, a: 4}. Give prob of picking 1 g, 1 l, 1 n, and 1 p.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 1. Let g be c(-1). Suppose 0*r = -g*r. Factor q**2 + 4*q + r*q - 3*q.\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/2, -62, -18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = y - 4*l, -2180*y + 13 = -2185*y - 4*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 8) to base 4.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -0.52. What is the smallest value in y, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -48. Let t be (-1)\/(-3)*k\/(-20). Let m = 631\/63 + -67\/7. Which is the nearest to -1\/4? (a) t (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 752896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000184288 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 12. Let c be p\/(-5) - (-230)\/50. Let d = 0.03 - 3.03. What is the second biggest value in -1, d, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 10) + -1 - -2 - 1 - 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**4 - q + 74 + q**3 - 78 - 80 + 28*q**2 - 29*q**2 as k + c*q**2 + o*q**4 + w*q**3 + y*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -17. Let m = -3501 + 3500. What is the third biggest value in m, h, 2\/289?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4854.\nAnswer: 1\/4854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 (base 12) in base 15?\nAnswer: -22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*c + 3 = 0, -4*o - 4*c - c + 5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 77 + 77)*(3 - 3 - g)*(2 + 0 - 4)*(66 + 125 - 246).\nAnswer: 550*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 - 269 - 14961*z.\nAnswer: -14961*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7247747 divided by -557519?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d - 24. Let r be u(-5). What is the greatest common factor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*x = -18404, 5*z + 4*x - 23040 = -x. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*r - 4794 - 2658 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*245\/(-126).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 7. Let f be g(7). Suppose -5*d + 3 = -f. Let a(l) = 4*l**d + 0*l + 0*l. Let k(n) = -2*n. Give a(k(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 - 50. Let k = -31 + a. Let y = 176.77 - k. What is y rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 535 + 517 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4923 - 4731. Calculate the smallest common multiple of 576 and k.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26\/9*u + 2\/9*u**3 + 2\/9*u**4 - 4\/3 - 14\/9*u**2 = 0. What is u?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (82\/238)\/(6\/12). Let t = -2\/17 + r. Which is the biggest value? (a) 5 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/6, -0.4, 1\/3, 3\/8 in ascending order.\nAnswer: -0.4, -1\/6, 1\/3, 3\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:01 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*v**2 - 45 - 93\/2*v.\nAnswer: -3*(v + 1)*(v + 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1246.681 and -0.4.\nAnswer: 498.6724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2081455316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 2*h - 1. Give a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041086 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/828333039 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 824893 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + -16b?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clneo. What is prob of picking 1 e, 1 c, and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/18)\/1)\/(14040\/12636).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1019\/2 + -511. Let u be (-27)\/(-18) - (-1 - -2). Which is the nearest to u? (a) 3\/4 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -13a?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(66)\/sqrt(54)*-4 - ((sqrt(1100) - sqrt(1100)*2) + -4 - sqrt(1100))).\nAnswer: 4 + 56*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -620, -0.1, -0.7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 6. Let p(s) = 3*s**2 + 16*s - 32. Let v be p(2). Let o(d) = 15*d - 15. Calculate v*k(l) + 5*o(l).\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -669*f**2 + 668*f**2 - 5*f - 3 - 3 + f in the form i*f**2 + w + v*f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110\/13*y + 2*y**2 - 2\/13*y**3 + 150\/13.\nAnswer: -2*(y - 5)**2*(y - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)*a)\/a)\/(((a*a**(-6))\/a)\/a) assuming a is positive.\nAnswer: a**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 - 22 = -5*o, -3*o = -3*m - 6. Let s(j) = -j**2 - 6 - 3*j**2 - 4*j + 3*j**m - 8*j. What is the remainder when 82 is divided by s(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 85*s - 22. Determine l(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47.4 + 1070.6. Is 0.1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10187, -20373, -30559?\n\"Answer: -10186*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*q - 41 - 34 - 52 + 127.\nAnswer: 891*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 5336*u + 1591017. Calculate k(317).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 + 10*m**4 + 446*m**3 - 2794*m**2 - 7260*m = 0. Calculate m.\nAnswer: -15, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 9. Let g be i(-5). Let r(w) = w**3 - 3*w**2 - 5*w - 2. Calculate r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 11 = 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 228 = 14*t. Calculate the remainder when (-577)\/(-6) + 10\/(-3 + t) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:11 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69874*q**4 + 638*q**3 - 377372*q + 24?\nAnswer: 838488*q**2 + 3828*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.39 + -38.39. Let h = z - -63. Are -0.3 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38312.\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:18 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140.00107 - 140. What is i rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaavvu. Give prob of sequence vvu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1370 - 267*k - 1370)*(-7 + 7 + 5*k) + (0*k + k + 0*k)*(3*k - 3*k + 2*k).\nAnswer: -1333*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1691522 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 s when three letters picked without replacement from {s: 3, y: 1, c: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**7\/6 + 7*f**4\/12 + 13*f. What is the third derivative of y(s) wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*v - 407, -2*p + 5*v - 41 + 184 = 0. Let g = 118 - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 243*r - 244*r - 3. Is r + 3 + -10 + 1461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + r**3 + 2*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*b + u - 29, -5*u + 37 = b. Let d(a) = -2*a - 1. Let v be d(1). Let s be v\/b + 14\/(-8). Put s, -1, -0.2 in increasing order.\nAnswer: s, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 7*d**2 + 0*d**2 + (d**2 + 2*d**2 - 2*d**2)*(-4 + 6 - 3) + 0*d**2 - d**2 - 1 + 0.\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 395805.\nAnswer: 395797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 55\/(-2)*(-16)\/(-20). Let x be 4\/(-6) - o\/6. Solve 0 = x*a - 4*l + 23, 2*a + l - 3 + 0 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183569*d - 4950*d + 7489*d + 17214*d.\nAnswer: -163816*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101010100 (base 2) to base 12\nAnswer: 5b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.72 - -71.08. Let b = -62.9 - 10.1. Let h = b + g. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*z + 17494 = 0, -5*w + 2*z - z = -21839. What are the prime factors of w?\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10494 is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21) - 606\/1239. Let b = -1687\/118 + j. Let i = -14649\/362 + -6\/181. What is the common denominator of i and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 102. Let k = t + -51. Which is bigger: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 15, 29, 45?\n\"Answer: u**2 + 9*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9258964 and -49\/40.\nAnswer: 92589640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 29 - 20 = b, 2*b + 4*z + 6 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-1 + 3*(sqrt(99) + -2*sqrt(99)))\/(-3*(sqrt(9) + sqrt(9)*-2) - (sqrt(729) + -1*sqrt(729) - sqrt(729))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000251 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 75 in -0.4, -2\/3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 270?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -2*v, -9*v - 2*d = -4*v - 14. Suppose 0 = -2*m - v*h + 24, m = 2*h + 4 + 5. What is the remainder when 46 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.096 * -22.94\nAnswer: 2.20224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 - -149. Which is the second smallest value? (a) -6\/11 (b) k (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32ad - d7?\nAnswer: 31d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6557)\/(-295065))\/((-2)\/48)\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6558147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31964335*x - 22237996 wrt x.\nAnswer: 31964335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29860.548 milliseconds?\nAnswer: 0.4976758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 2.04588?\nAnswer: -2.455056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53.27391 or 1?\nAnswer: 53.27391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 939270910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (8 + (-10 - (-7 + -1))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.7 - 69. Let l = 7.9 + u. Let i = 18 + -18.2. What is the nearest to i in l, -1, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 52*w - 8681. Give x(67).\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(7\/5)*p*p*p**(-1\/4))\/((p**(-6\/13)\/p)\/(p*p**(-1\/6)))*(p**(-1)*p*(p\/(p\/(p*p**12)))\/p)**(-50) assuming p is positive.\nAnswer: p**(-462973\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101011101010001 (base 2) to base 11.\nAnswer: -117987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(70)*-1 - (-2*sqrt(70)*-5 - sqrt(70)))\/((sqrt(70) + 3*sqrt(70) - sqrt(70))\/sqrt(7)*-2*3).\nAnswer: 13*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089305 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -689521 + 689521. Factor 81\/2*s**4 + 0 + h*s - 10*s**3 - 2*s**5 + 0*s**2.\nAnswer: -s**3*(s - 20)*(4*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 29 = 11. Suppose -i = 3*i - a. What is the second derivative of i*v**5 + 0*v**5 + 3*v**5 - v wrt v?\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87394 = 39*r - 26330. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -4. Let i be (-7)\/((3 - 0)\/(-3)) - -1. Let c = i - 6. Solve j - c = -l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2063.931 and -3?\nAnswer: -6191.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d**3 + 11*d**2 + 14*d + 3. Let s(m) be the first derivative of 9*m**4\/4 - 4*m**3\/3 - 5*m**2\/2 - m - 62. Let h(c) = 3*p(c) + 8*s(c). Give h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d**4 + 0*d**2 + 1\/5*d**5 + 3 + 1\/3*d**3 + 0*d. What is the third derivative of u(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 13. Suppose 0 = -5*q + 7 + 3. Let b(k) = 2 + 14 - 2*k - 7 - q. Determine -11*b(r) - 6*l(r).\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.6 - -8.6. Let s = -455 - -453. Which is the fourth smallest value? (a) -1.9 (b) s (c) 0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1103903907 to the nearest integer?\nAnswer: 33225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 495*s - 7093. Determine h(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.9*-1320.3084.\nAnswer: -13071.05316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-17)*b*b\/(b*b**(1\/5)) assuming b is positive.\nAnswer: b**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 17 = -2*u + s, -34 = -3*u + 5*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1833.23351 - -1838.43351018. Let g = f + -5.2. 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: Simplify ((-1 + -2 + (1 + sqrt(1053) - sqrt(1053)) + 4 + (sqrt(1053) + -2)*-4)**2 + 5)*-5.\nAnswer: -84765 + 3600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/4*(-89100)\/(-5346)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35311 (base 15) in base 14?\nAnswer: -1061219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, 162, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -948, -1217, -1538, -1911, -2336?\nAnswer: -2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 647*f**6\/6 + 601*f**2\/2 + 173. What is the second derivative of l(d) wrt d?\nAnswer: 12940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t**2 - 19*t + 62. Calculate g(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {q: 4, p: 1, y: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 74352333?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 9 - 3. Let s(p) = 9*p**2 + 2*p. Does 15 divide s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**2 - 237*q**2 + 3 - 3.\nAnswer: -221*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:40 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109 + 405*g**3 - 4*g**4 - 31 - 901 + g**4 wrt g.\nAnswer: -12*g**3 + 1215*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -104. Let q(d) = -55*d**3 + 115*d**2 + 105*d - 65. Let a(l) = -7*l**3 + 14*l**2 + 13*l - 8. Let h(b) = i*a(b) + 3*q(b). Factor h(p).\nAnswer: 5*(p - 1)*(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 64 + 4 = -b, -4*y - 42 = -b. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r + 4*r)*(16*r**4 - 3*r**4 + 9*r**4).\nAnswer: 44*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 divided by 10235?\nAnswer: -29\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-2 + -2)) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658609307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-a - 2 + 2)*(-778 + 1153 + 1155)*(0*a**3 - a**3 + 0*a**3).\nAnswer: -3060*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -49. Solve 0*u = v*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11320?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/42 and 55\/39652641.\nAnswer: 79305282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/18281 + 18299\/164529. What is o in c*o**3 + 2\/3*o**2 + 8\/9*o + 0 = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -0.2\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 20397.58 milliseconds?\nAnswer: 20397580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(144)\/sqrt(4) - sqrt(36)))\/(sqrt(36)\/sqrt(48)))\/((sqrt(400) - -5*sqrt(400)) + sqrt(20)\/(sqrt(5) - sqrt(320))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z + 6. Let g be (-16)\/(-20)*(-25)\/(-10). Suppose g*o = -3*o + 20. Determine t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/894 and -85\/2?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 - 6544*a**2 + 71790*a - 156528 = 0. Calculate a.\nAnswer: 3, 8, 3261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2\/5))\/a)\/a)**(-19)*(a**(2\/7)*a)\/(a\/a**(-3\/8)) assuming a is positive.\nAnswer: a**(3167\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 257 - 133 = 0. Let f = m + 239. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(3)*4)**2 + sqrt(12)\/(sqrt(40)\/sqrt(10)*2).\nAnswer: 33*sqrt(3)\/2 + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3))\/(a*a\/(a**(-1\/12)*a*a))*a\/a**(-3\/7)*a*a*a*a**(-1\/5)\/a*a assuming a is positive.\nAnswer: a**(767\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 - 41*i**2 = 0. Calculate i.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. Let b be -1*o\/((-12)\/3). Suppose 4*f - 153 - 155 = b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17030710, 34061420, 51092130?\n\"Answer: 17030710*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f - 37 = -45*f. Let j be (1 - 4\/3) + f\/111. Determine c so that -2\/9*c**4 + 8\/9*c**2 + j + 8\/9*c - 2\/9*c**3 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 5*w**2 - w - 2. Let s be p(-5). Solve -2*u = -s - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-9))*-1. Suppose 5*y - 5 = b*w, 3*w + 1 = -0*y + y. Suppose w = -4*v + 2*v + 36. What is the highest common factor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51583 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.57 - 0.5. Let k = -0.17 - x. Let b = 0.2386 + k. Round b to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 0. Suppose 5*p + 426 = 4*r, r - 3*p + 4*p - 102 = m. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42365.94 years?\nAnswer: 4236.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 6) + -6 - (-1 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-92))\/(6\/(-8)). Let p = -0.1 - 0.2. Let v = -0.2 - p. What is the second biggest value in -2\/9, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 239?\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(34\/(-81)) - (17 - 14 - 8).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7531 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 781 and 710?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37408561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 122, 119, 116, 113?\n\"Answer: -3*r + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 54.24, -236\/9, -0.2 in decreasing order.\nAnswer: 54.24, -0.2, -236\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 710566 to the power of 1\/2, to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -81. Suppose 2*x = -h + 133. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 3*h - 2. Let o(q) = -5*q**2 + 8*q - 6. Let d be 472\/413*(-1 - 6). Give d*p(l) + 3*o(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.7356 - 1035.413\nAnswer: -1037.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17760 and 975680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4945 = l - 4957, l + 20*f + 38 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - ((-63 - 4 - 1) + -63 + 60)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(3 + (-46)\/14). Suppose 6*z - n = 37. Suppose -11*l = -9*l - 60. What is the smallest common multiple of l and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + d + 112975, 2*v + 4*d = 28838 + 84152. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 118 - 226 = 0. Let j = 332 - v. Calculate the highest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.108 - -9957811.\nAnswer: 9957831.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/21 and -121\/3684.\nAnswer: 25788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -29 - (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4038\/5)\/(1 + (-30)\/12). Suppose 2*f = -2*b - 1100, -3*f = 7*b - 2*b + 2742. Let z = b - i. Find the common denominator of z and -61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*g + 11755, -1731 - 1206 = g + 3*a. Calculate the common denominator of -25\/56 and -1 - 498\/g - (-1)\/(-5).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.499 - -15.499. Put 3, i, -350, 2\/7, -3\/2 in descending order.\nAnswer: 3, 2\/7, -3\/2, i, -350","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhc when three letters picked without replacement from {b: 1, r: 3, c: 1, h: 3, d: 11}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164762321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 11*s**2 - s + 2. Let v be o(-11). Suppose v*z = 14*z - 2. Solve z*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26*7.233066\nAnswer: -1.88059716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000436731 rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p - 11 = -16 + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 180*k**2 + 10800*k - 216000 = 0. What is k?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -0*h - 12. Let a = 1 - -2. Let g be (2\/(-3))\/((-7)\/a). What is the biggest value in g, 0, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 3. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 + 0.13. Let j = t - 0.02. Put -4\/9, 1\/3, j in increasing order.\nAnswer: -4\/9, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(243)*-3 + (-4*sqrt(15))\/sqrt(5))**2.\nAnswer: -8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {d: 12, n: 1, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1003062034 + -4?\nAnswer: 1003062030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 11797*l + 153225. What is s(-13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 20. Let x = 13 + k. What is the units digit of (1 - -6)\/(x + 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5947653487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t**2*y**2 + 1906*t**2 - 102*t*y**2 + 2*y**2 + 3 wrt t.\nAnswer: 20*y**2 + 3812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*c - 2\/13*c**3 + 0*c**2 + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**3*u**3 + 56*m**3*u**2 + 9099300*m**2*u**3 - m**2*u**2 + 192795*m**2 wrt u.\nAnswer: 42*m**3 + 54595800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 778124759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:25 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321012241 (base 5) to base 9.\nAnswer: 2468516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40314332.99727 - -40314084. Let a = -249 - d. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 5*v. Let k(m) = 5*m**2 - 7*m - 7. Let j(c) = -4*c**2 + 6*c + 6. Let b = 318 - 311. Let s(f) = b*j(f) + 6*k(f). What is s(l(r))?\nAnswer: 32*r**4 - 80*r**3 + 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435147 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1018 and 89\/48.\nAnswer: 24432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -126, -5, 164, 381?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -98. Let d = v + -53\/6. Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a61 (base 16) to base 2.\nAnswer: 1101001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -14. Solve -4*l + k = -12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:18 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 970753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89383271\/686751 - -1\/52827. Let k(b) = b**3 + 5*b**2 + 6*b + 10. Let x be k(-7). Let w = z + x. Does -1\/3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*y - 83. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/448 and -47\/1064.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3486 - 7.9?\nAnswer: -8.2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = 2*g + 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 11*x + 32 + 26*x)*(136*x**3 + 1089*x**2 - 1089*x**2).\nAnswer: 2040*x**4 - 816*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13388433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 - 172. What is the remainder when ((-1)\/(-1))\/(3\/q) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5845 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**5 - 2*m**5 + 11*m**5 + 12*m**5 - 3*m**5 + (-2*m**2 + 2*m**2 - 4*m**4)*(-325*m + 194*m + 314*m).\nAnswer: -705*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5733239.\nAnswer: 2\/5733239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 5 + 1480\/(-160) + 7 and (74\/220)\/(4\/10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3*n - n - 3*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 41215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12198440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1943071*z - 7853 + 23 = 1942984*z for z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -21 + 2 + 3. Let h = j - -16. Solve -1 = c + n + h, -2*n = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjjr when four letters picked without replacement from {r: 2, j: 3, g: 7}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*((m*(m*(m*m*m**(-2\/7))\/m*m)\/m*m)\/m)\/m)**10 assuming m is positive.\nAnswer: m**(-300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -29*4\/(-19) - (-32)\/(-304). Solve 0*a - 2*a - 5*q = 14, -3*q = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 8*h + 9. Let q be g(-7). Suppose -q*x = -0*x - 68. Suppose 8 = 2*b - x. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 take away 0.52553?\nAnswer: 93.47447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let t = 81 - 404\/5. Sort 1\/3, t, s in decreasing order.\nAnswer: s, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - 5*sqrt(343)*1)**2*1.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8409365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 59.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j - 1)*(-2*j + 0*j - j) + (-5 + 12 + 5)*(-4*j**2 - 5*j**2 + 6*j**2).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 80, 196, 360?\n\"Answer: 24*p**2 - 4*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5482814 divided by 3\nAnswer: 5482814\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*2)\/sqrt(9))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*i + 280 = 0, 13*i - 14*i = 0. Suppose -34*n + x*n = -66. Sort -0.1, 3, n, -2\/7 in decreasing order.\nAnswer: 3, -0.1, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/2740 or -1?\nAnswer: 23\/2740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 24. Let u(l) = 10*l - 20. Is 18 a factor of u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 113*v**5\/20 + 11*v**4\/12 + 5*v**3\/3 - 2*v + 12. Let p be m(-10). Round p to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/139384 and 173\/26334?\nAnswer: 13799016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1775 and 128652.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 1, n: 8}. What is prob of picking 3 s and 1 n?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/18 (b) 1\/10 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578385 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299, 5367, 12157, 21675, 33927, 48919, 66657, 87147?\nAnswer: 110395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49885*b**6 + 4*b**5*v - 36*b**2 - 2*b*v + b + 6*v + 1 wrt b?\nAnswer: 5986200*b**3 + 240*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 7*y**2 - 5*y**3 - 8808 + 2*y + 6*y**3 + 8811 to the form x + q*y**3 + s*y**2 + v*y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-11 - (-15 + -5)) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.1. Let b be (0 - 2) + (-206)\/(-106). Let j = -191\/371 + b. What is the closest to v in j, 2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190)*-2 - sqrt(190) - sqrt(190))\/((sqrt(20) - sqrt(80))\/sqrt(2)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(1 + 2 + 2)*(23*v + 16*v - 16*v) as z*v + n and give z.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 8 = 0. What is the common denominator of 7\/18 and 2 + s + (-429)\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000945673 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 760, 1523, 2286, 3049, 3812?\n\"Answer: 763*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.6 (b) -20\/9 (c) 1\/2 (d) -1\/5 (e) -4 (f) 0.2 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -832, -827, -828, -835?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(2057))**2 + (sqrt(85)\/sqrt(5)*1 - sqrt(17)) + 5.\nAnswer: 18518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.266161 rounded to zero decimal places?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90598, -90581, -90562, -90541?\n\"Answer: w**2 + 14*w - 90613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/(-5*3\/(-50)). Suppose 6 = -j + y*h, -j = j - 5*h + 6. Find the third derivative of -29*m**4 - 3*m**2 + 33*m**4 - 4*m**j wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n - 1 + 1 - 14*n. Let c be k(2). Suppose 4*u - c*f = u + 8, 0 = -u + 5*f + 20. Solve u = -4*v + 21 - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 1616 = 0. Suppose p - 5*p + y = 0. Calculate the remainder when p is divided by (-4)\/(4\/(-5)) - 483\/(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 11. Let q be c(-8). Suppose -q*v - v = 0. Is 6 a factor of -10*(v + (-16)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -20, -57, -130, -251?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 2*m**7\/3 + 143*m**4\/24 - 87*m**2 + m. Find the second derivative of r(a) wrt a.\nAnswer: 1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(17 + (-105)\/6). Let t(a) be the third derivative of 0*a + 1\/120*a**n + 0*a**3 + 1\/300*a**5 - 33*a**2 + 0. Factor t(i).\nAnswer: i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9*3 + 4. Let p(i) = i**3 - 9*i**2 - i**2 - 2 + 5 + w*i + 3*i**2. What is p(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2429\/84 + 2\/24. Solve a - h + 1 = -5*h, 4*h - o = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7433?\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let n(z) = 3*z + 17. Let g(h) = 6*n(h) - 17*q(h). Let x(v) = -67*v. Determine x(g(s)).\nAnswer: -67*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456219 is divided by 2166.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7486*-2\nAnswer: 14972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12355833?\nAnswer: 3, 7, 19, 173, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 18 = -3*h + 31, 111*h - 112*h = -z - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 4*o)*(-4 - 2*o + 4) + 26 - 4*o**2 - 28 - 3*o**2.\nAnswer: -11*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1568800 and 76320.\nAnswer: 14119200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196474005 and 26325.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w**2 + 8 - 8)*(-18*w**2 + 3*w**2 - 8*w**2) to the form l*w**4 + c + r*w + f*w**2 + t*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25315 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 11002?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 15 = -3*g - 4*v, -3*g = 4*v - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86876 or -86875?\nAnswer: -86876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(288)*-2*1)\/(-4*-1*sqrt(196)*3))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7802 + -3242. Suppose -2389 = w - 2*g, -d = 3*w + 4*g + 2597. Is (3 - 2)*0 + w\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*d + s, 177*d + 19 = 181*d - s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 240870*i**3 + 2167668*i**2 + 6502842*i + 6502761.\nAnswer: 3*(i + 3)**3*(i + 80281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155584 and 5083.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 1, e: 1, q: 2, b: 2, z: 2}. Give prob of picking 1 b, 1 z, 1 r, and 1 q.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (2 + -21) - 5) + -12 - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-34) + (-448)\/(-238). Let n(a) = a + 4*a - 7*a - i*a. Let w(u) = -6*u**2. Give w(n(m)).\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1928*m + 1932*m - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6709459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let t(y) = -4*y**2 + 1. Let s be (-4 - -4 - 7\/(-14))*-2. Calculate s*t(n) + 2*x(n).\nAnswer: 4*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88133211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 217, 242, 269, 298, 329?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 107 - 86 = 0. Solve 0 = -10*b + x + 43 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 4, o: 4, v: 2}. Give prob of sequence doo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:26 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.12009 + -0.05009. Let a = 3.5 + 33.5. Let n = a - h. Sort n, 2, -1\/2, -2 in ascending order.\nAnswer: -2, -1\/2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 - o**2 - 2*o - 1. Suppose 5*y - 8 = 2. Calculate the lowest common multiple of y and x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136.85 < 2\/669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17736 divided by -6?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/100)\/((-3)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*p + 179*m + 54*p**3 wrt p.\nAnswer: -m + 162*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588649.\nAnswer: 588649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gglgglgugullu?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 17. Let n be (-6)\/(-21) + x\/(-7). Suppose 1 = n*q - q. Which is the nearest to q? (a) -2 (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/4)\/((-1)\/(-2)). Suppose -1 = 14*w - c*w. Solve -4*u + 19 = -w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = 2, 0 = 2*d + 2*f + 6. Let b be (-32)\/(-12) - d\/3. Let o(w) = -w. Let c(y) = y. Calculate b*c(v) + 4*o(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxdxdddddxxxxxdddx. What is prob of picking 1 x and 1 d?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 13. What is the nearest to -1 in c, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -1251555, 1 in ascending order.\nAnswer: -1251555, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 18) + 2 + 23 + -22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/10 - -8)*(204\/42 - 1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2514 + 2511. Which is the closest to t? (a) 38 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + j = 1944, -6*j = -2*j - 16. Suppose 5*k - 1654 = 3*k. Let r = k - d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 1. Let n be c(-4). Suppose 16 = s - n. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 932 (b) 5 (c) 4\/7 (d) 1\/5 (e) -2\/3 (f) -2 (g) 10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.23052518 and 0.5.\nAnswer: -0.11526259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17690)\/(-191052))\/((-5)\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 84 = 0. Let m be o\/(-8) + (-3)\/(-6). Suppose -5 + 1 = m*q. Is -2\/25 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3652, 3745, 3838, 3931, 4024, 4117?\n\"Answer: 93*w + 3559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/(-84)*-7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1132720526168.\nAnswer: -1132720526168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.9 + -15.77. Let h = -0.76 - u. Let q = h + -0.0938. What is q rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -2\/5 (c) 6\/9649903\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51705218, 103410435, 155115652, 206820869, 258526086, 310231303?\n\"Answer: 51705217*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 7*i**8\/48 - 61*i**4\/12 + 84*i**2. What is the second derivative of b(h) wrt h?\nAnswer: 980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + sqrt(270)*2*-3 + sqrt(270) - 2*sqrt(270)*5)\/((sqrt(240)\/(sqrt(64) - sqrt(4)))\/sqrt(10))*2)**2.\nAnswer: 317520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 56, -6, 5236, -1.\nAnswer: -6, -3, -1, 4, 56, 5236","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4923146 - -12223146. Round z to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594517 is divided by 73963?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -1.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127331406141214 less than -0.5?\nAnswer: -127331406141214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 150, 255, 390, 561, 774?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15835*-3664\nAnswer: -58019440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/7)*k*k**(-23)\/k*(k**(-9))**(7\/4))**(2\/47) assuming k is positive.\nAnswer: k**(-1069\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -12. Let t = 13 + v. Solve t*z - 1 - 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/7 + 38\/21. Which is the fourth biggest value? (a) 0.1 (b) o (c) 1 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70956, 70027, 67500, 62577, 54460?\n\"Answer: -133*p**3 - p**2 + 5*p + 71085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4589 by 2.\nAnswer: -4589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -268.4154 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1270129*p**4\/4 - 29280587*p**3\/4 - 389040*p**2 - 5175*p.\nAnswer: -p*(p + 23)*(1127*p + 30)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 2532.72.\nAnswer: 2527.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*a, 2*p - 5*a = p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5942, -23788, -53530, -95168?\n\"Answer: -5948*p**2 - 2*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.1. Let t = -28.1 - -26. Let d = 2 + t. Which is the closest to d? (a) -0.4 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose 3*i = -q*v + 203, -i + 103 = v + v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16 - 2432*u + 3464*u + 3735*u + 2516*u. Let i be m(8). Suppose -39552 - i = -6*b. Round b to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 22 (c) 5 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.02\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12758937.\nAnswer: 3, 19, 223841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 5 = -o. Suppose a - 3*b - 15 = 0, -17 = -3*a - b + 3*b. Suppose 3*h - o = -a*h. Sort 3, 8, h in descending order.\nAnswer: 8, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.03 - -106. Let p = m + -2.06. Round p to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1701, -3406, -5125, -6864, -8629, -10426?\n\"Answer: -j**3 - j**2 - 1695*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 2*r. Let i be t(4). Let o(n) = -n**2 + 5*n + 2. Suppose 7 = 5*y - 8. Let q be o(y). Calculate the highest common factor of i and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from xxydddyyxddp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 18 = 2*t, -3*v - 26 = -5*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 1, t: 3}. Give prob of sequence ppt.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and 486.\nAnswer: -17982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99\/778 - 39815\/112032. What is the common denominator of j and -133\/108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -4*b**6\/39 - 22*b**5\/65 + 35*b**4\/26 + 80*b**3\/39 - 76*b**2\/13 + 32*b\/13 - 95. Find z, given that t(z) = 0.\nAnswer: -4, -2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 - 13*a - 5. Give o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 18 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/(-10))\/9)\/((4\/5)\/(-4))*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 455*d - 43. What is the tens digit of k(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from chekcueup.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 3*n - 9. Let b(c) = -7*c**2 - 11*c - 36. Let y(r) = 2*b(r) - 9*l(r). Let a be y(-2). Solve -k - 2*k = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 8. Suppose -3*z - 4*j = -0*z - 78, -135 = -4*z + 5*j. What is the highest common divisor of z and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from plwlmseplsml.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.941 + -1.059. Which is the nearest to 1\/6? (a) 5 (b) 1\/2 (c) 1.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -435 - -439. Let w = 0 - -2. Suppose -4*x + 149 = 5*r, l*r = -4*x + w*x + 70. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7 - 4) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -109*j**5\/20 + j**4\/12 - 4*j**3\/3 - j**2\/2 + 33*j - 2. What is the second derivative of b(f) wrt f?\nAnswer: -654*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252694.\nAnswer: 2, 13, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 7*a**2 - a + 5. Let k be h(7). Let n be 6 - k*(-1)\/2. Find the second derivative of -g**5 - 4*g + 8*g**n - 3*g wrt g.\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 46, 3\/14, 2\/13, -1\/6, -60\/13?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w - 34*w - 26 = -2*m + 12*w + 36*w, -2*w = m + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132317 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 0, 0.4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 36*s + 9*s + 11*s - 4 in the form m + g*s and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/60 + 5*m**4\/8 - 19*m**3\/6 + 37*m**2. Let r be (-288)\/(-21) - 4\/(-14). Let t be x(r). Are -5 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and 506028.58.\nAnswer: 506028.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 42949*l + 1374372. What is c(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*k**4 + 17 + 20*k**4 - 53*k**3 + 31*k**4 wrt k.\nAnswer: -4*k**3 - 159*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 12*b + 3*b**2 - 4*b**2 - 12*b in the form n + r*b**2 + a*b and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**4 - 5*d**3 - 7*d**2 + 8*d - 3. Let a(t) = -t**3 + t**2 + 1. Let k(p) = 3*a(p) + v(p). Factor k(c).\nAnswer: 4*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45916.75g?\nAnswer: 45.91675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:29 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let c(x) = 2*x - 70. What is c(h(r))?\nAnswer: 2*r**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -19, -16, -5, 4, 5, -1\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 20*j - 36. Let a be s(22). Suppose 0 = -n - 16 + 15, r + a = -5*n. Put -19, 3, 5, r in ascending order.\nAnswer: -19, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6756*-3.\nAnswer: 20268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46314, 46297, 46260, 46197, 46102, 45969, 45792, 45565?\nAnswer: 45282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*x + 5*s = 176*x - 145, 4*s = -3*x + 454. Calculate the remainder when 1946 is divided by x.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m**2 - 243*m**2 + 120*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + ((-2 - -1)\/(1\/3747))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (183\/488)\/(1\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(1377) + -1))**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 520803, 1041607, 1562411, 2083215, 2604019?\n\"Answer: 520804*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1633 or -983?\nAnswer: -983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94.16733ml?\nAnswer: 0.09416733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.602776 minutes?\nAnswer: 456166.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -48. Let u = 1 + d. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 6*w. Let n(r) = 4*r**2 - r + 2. Let t be n(1). Solve w = -t*u - 26 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9567123 from 2707537.\nAnswer: 12274660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28336*t**5 + 59167*t?\nAnswer: 566720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 8 + 2. Suppose 0 = s - 2*o, 5*s = -0*s - 5*o + 75. Let w = t + s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*r - 2*v, -5*r + 1316*v - 1317*v = 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -32*u**2 + 178*u - 11. Give l(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 214 - -311?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*i + 116*i + o - 29 - 2, -80 = 5*i + 4*o for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1384 divided by 880.\nAnswer: -173\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-316467.\nAnswer: 63293.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -480, -1003, -1524, -2043, -2560, -3075?\n\"Answer: i**2 - 526*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*c**4 + 45*c**3 + 100*c**2 - 45*c - 90 = 0. Calculate c.\nAnswer: -3\/2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i**3 - i + 1. Let a(r) = 7*r**3 + r - 1. Calculate 3*a(x) + 2*m(x).\nAnswer: 5*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 141732\nAnswer: -141733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(6 - 12). Suppose -4*s + 16 = 4. What is the second derivative of -n*t**5 - 3*t + s*t - 4*t wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 4*w**2)*(4869*w - 348 - 313 - 4871*w)*(1 + 1 + 0) in the form r*w + h*w**2 + g*w**3 + m and give h.\nAnswer: 5288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) + (sqrt(12) + sqrt(1452))*3 - sqrt(12)))**2.\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 72. What is the remainder when 106 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4\/12 - 196*h**3\/9 - h**2\/6 + 196*h\/3 - 1636. Solve n(w) = 0 for w.\nAnswer: -1, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {v: 3, a: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) 4 (c) 15 (d) -5 (e) -17493\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (74\/5)\/((216\/(-1260))\/(426\/(-14))).\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*b - 0*f + 7, -b - 5 = -4*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) + (-1)\/18. Let q(v) be the first derivative of k*v**4 - 2\/9*v**3 + 1 + 2\/3*v - 1\/3*v**2. Solve q(t) = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -15 + 25 + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.219 - 17.263. Which is the nearest to 1\/4? (a) 0.06 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 2. Let n = -1.8 + k. Let m = -2.49906 - n. Round m to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56165246 - -28065246. What is d rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2. Suppose 0 = 4*p - 6*p + 2284. Suppose 7*l - 1112 = p. Let b(o) = 322 - l + 10*o**2. Determine a(b(z)).\nAnswer: -500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*288\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 26, 74, 146, 242, 362?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 260\/24*(12\/5)\/3. What is p in w*p**3 + 8\/3*p + 0 + 4*p**4 + 2\/3*p**5 + 8*p**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -17*v**4 + 5*v**3 - 26*v - 5. Let j(d) = 17*d**4 - 4*d**3 + 26*d + 4. Let g(h) = -5*j(h) - 4*y(h). Find the second derivative of g(x) wrt x.\nAnswer: -204*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q + 5216 - 176 = -587*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10796464.\nAnswer: 2, 7, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 24\/5*k**6 + 3 - 30*k + 0*k**2 + 0*k**3 + 3\/4*k**4 + 0*k**5. Find the third derivative of t(g) wrt g.\nAnswer: 3456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4816 is divided by 1044?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/(-1 - (-1 - -1)). Let s be (3*-1)\/(244\/(-32) + 8). Let t be (-37)\/s + 12\/32. Solve 7 = 5*v - v - 3*m, -v = -t*m - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**8\/420 - h**4\/8 - h**3\/6 - 2*h. Let u(b) be the second derivative of z(b). Differentiate u(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -663*f + 819 + 1170 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397924, 795818, 1193712, 1591606, 1989500, 2387394?\nAnswer: 2785288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a factor of 37472453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23536\/(-158868)*27\/(-23)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21649613.168 take away 2.71?\nAnswer: -21649615.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380060328.\nAnswer: 2, 1447, 205603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 5\/3, 4\/3, 0.3, -86, 1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17705919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.04 - -119. Sort f, 3, -1, 0 in decreasing order.\nAnswer: 3, 0, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jjjjnjjjjjjjjnjjjnn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023428, 1023499, 1023566, 1023629, 1023688?\nAnswer: 1023743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2005 and -79\/5614.\nAnswer: 28070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10605.224729 + 6.\nAnswer: 10611.224729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79093553*r*u**3 - 8*r + 4963*u - 127 wrt u.\nAnswer: 474561318*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**(1\/12)\/(y**2\/y)**(-5\/8) assuming y is positive.\nAnswer: y**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-239190)\/(-30))\/(-119) + -6*(-1)\/(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - (-6 - 0 - (13 - 26) - (12 - 8))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/1228, -2, -2\/15.\nAnswer: -2, -2\/15, -5\/1228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q. Let c(r) be the second derivative of 5*r**3\/6 - 32*r**2 - 13107*r. Calculate c(v(g)).\nAnswer: 20*g - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*k - 10 = 0, -3*k - 1 = 2*n + 5. Let y = n + 2. Suppose 6 = l + 2*l. Are y and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3557024 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + -12 + 8 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -60*c**2 + 7 + 35*c**2 + 15*c**3 - 13*c**3 - 11*c + 12*c**2. Let h(d) = -d**3 + 7*d**2 + 6*d - 4. Give -4*f(q) - 7*h(q).\nAnswer: -q**3 + 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -9077\nAnswer: -68\/9077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 389680957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 + 775 = -100*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 12*p + 7*p + p + 8*p - 45*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 2, m: 6, t: 3, n: 4}. What is prob of picking 1 m, 1 x, and 1 w?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 + 3 = 0. Solve 0 = -0*k + 3*k - 6, -a*l - 10 = -5*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 4814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666501 is divided by 151495?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 18. Factor 43*v + 12*v**2 - 34*v - 24*v + 9*v**3 - k.\nAnswer: 3*(v - 1)*(v + 2)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 4. Let g(o) = 5 + 3*o**2 + 0*o**2 + 0*o**2. Let t(n) = -n**2 - 5*n - 4. Let q be t(-5). Suppose -3 - 2 = -d. Determine d*m(s) + q*g(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1078)\/(-33))\/7)\/((517\/198)\/(-47))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 7*j**4\/12 - 11*j**3\/6 + 7*j**2\/2 + 7*j. Is k(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f + 8. Let s be i(2). Let l be (s\/9)\/(-8)*6. Suppose 3*m = 0, -4*m = -l*o + m + 150. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x**5 - 6*x**4 - 1023*x**3 + 1740*x**2 - 852*x + 48 = 0. Calculate x.\nAnswer: -4, 2\/31, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93293 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5740 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3\/(-21) - 90\/(-42)). Suppose -5*c - 6 - 94 = g. What is the units digit of (-450)\/c*(-42)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157336615 + 2?\nAnswer: 157336617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 18. Let r = k + 15. Which is the closest to 0? (a) -1 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10025227087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 11 - 3 - 8 + 4*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, -0.1, -3, 3, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftx when three letters picked without replacement from xtf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 8) to base 6.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3236, -0.3, 126.6?\nAnswer: 126.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -25*c + 249. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 1, m: 5}. Give prob of sequence tt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - (-105)\/10)*6686 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 26932 in decreasing order.\nAnswer: 26932, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -4\/3 (c) -1 (d) -0.196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = c - 877, -5*c - 5*f + 489 = -3956. List the prime factors of c.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44538160 to the nearest 10000.\nAnswer: -44540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203012 (base 4) to base 14.\nAnswer: b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57398 is divided by 56940.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -7, 0.2, -5\/66?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 10 = -0*k + y, -5*y + 132 = 112 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**6\/255 - x**5\/85 - x**4\/102 + 2*x**3\/51 - 38*x. Factor m(z).\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a factor of 285035510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 + 5*u - 4. Suppose -3*c - 6 = -c. Let g(d) = 4*d**2 - 5*d + 3. Let o = 102961 + -102965. What is c*p(b) + o*g(b)?\nAnswer: -b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66483067 is divided by 22160991.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.074 + 0.474. Let f be (-9)\/(-6)*2\/18. What is the nearest to 1\/2 in i, f, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8247389 by 1.\nAnswer: -8247389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77619 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, -9, 76, -0.5, -4, -0.2 in increasing order.\nAnswer: -9, -4, -0.5, -0.2, -2\/37, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3552120 and 1008.\nAnswer: 49729680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 594 + 3*b**2 - 8132 + b.\nAnswer: -2*b**2 + b - 7538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -21\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let q = 0 - d. Let s be ((-1)\/4*2)\/((-31)\/62). Is s at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*z - 2 + 1, -4*d - 3 = 5*z. Let f = d - -8. Suppose -1 - f = -i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 - f**3 + (6*f**2 - 4*f**2 - f**2)*(-7*f - f - 10*f).\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*u**3 + 63*f**3*u**2 - 27967*f**2*u**3 + 52*f**2*u**2 wrt u?\nAnswer: 6*f**3 - 167802*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvj when three letters picked without replacement from kkvjvrv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3 - 2 + 2 + 3*a + 8*a**2 + 0*a**2. Suppose -736 = -2*h + 3*u - 726, -12 = 4*h - 2*u. Let i(p) = -17*p**2 - 7*p - 7. What is h*d(l) - 3*i(l)?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.451 and 982804.91.\nAnswer: 982804.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 5*n = -12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40926, -40928, -40930, -40932?\n\"Answer: -2*a - 40924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5711 + 5743. Suppose -5*i = -5, 5*j = -2*i - 76 + 238. Is j greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308 + 139. What is the second smallest value in 4, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1042, 1023, 1018, 1033, 1074?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(6\/3))\/1. Let a = 1 + -4. Let c = -1 - -0.7. What is the closest to h in a, c, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 23 = -3*j, -3*g - 3*j = -0*j + 15. Let n be 1 + 0 - (-1 + g). Is (-2)\/n*(-2 - 259) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 4*o - 7. Let d be t(-5). Let j = d + 1. Let g be 2 - j*(-6)\/(-2). Calculate the highest common factor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/(-21))\/(1\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6262, -12626, -19204, -26104, -33434?\nAnswer: -41302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*q - 103 = -q, 0 = -y + 2*q + 19. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5189*k**3 + 6*k**2 + 9*k + 14. Let u be t(-6). Round u to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h - 5*x, 0 - 4 = -h + 2*x. Let m be (10 + -11)*(h - 11\/(-5)). Which is the closest to m? (a) -2\/13 (b) -2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 - 316*f**5 + 208*f**3 + 3448*f**2.\nAnswer: 120*f**3 - 18960*f**2 + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (50 - (108 + -36)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q**2 + 2996*q - 24987. Determine i(241).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2. Let y = -7 - -18. Let c = -9 + y. Let g(j) = -13 + 13 - c*j. Determine v(g(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38415, 38416, 38417, 38418, 38419, 38420?\nAnswer: 38421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 35924160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -36. Suppose -d = -3*z - 0*z. Let q be -3*3\/(-6)*z. Are q and 11\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1\/6, 3, 1.4 in descending order.\nAnswer: 3, 1.4, -1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 5*u**2 + 20*u + 47. What is i(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, o: 3}. Give prob of sequence xxo.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115276084*w**3 + 214148563 wrt w.\nAnswer: -345828252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 9 - (-4)\/(2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*u**4 + 562924*u**3 - 21641409 wrt u?\nAnswer: 16*u**3 + 1688772*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44799 (base 12) to base 5\nAnswer: -10402411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/45 + 13398\/(-1566))\/(3\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3 + 31008420*g**2 + 48076043527920*g - 192304670246720 = 0.\nAnswer: -3100844, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/4 - 25*g**4\/4 - 105*g**3\/2 - 245*g**2\/2 - 23*g + 7. Factor o(d).\nAnswer: -5*(d + 1)*(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 102 = -3*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -70. Let q = -80 - -108. What is the least common multiple of q and o?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 15*l + 3. Calculate the remainder when 93 is divided by j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(66) - (sqrt(66)*1 + sqrt(66)))*-4*-5*4)\/(-1*sqrt(12)\/sqrt(2)*5 + sqrt(54)\/(sqrt(18)\/sqrt(2)*-2 - sqrt(9))))**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 426688 and 2194?\nAnswer: 424494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (108\/2)\/(18\/24). Let k be (-2)\/2 + 7 + 3. Let s = -1 + k. What is the greatest common factor of s and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - p**4 - p**4 - 1 + 5*p**4 + 0 in the form h*p + w + j*p**2 + l*p**3 + v*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000531 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 37 = 3*k + 56, -6*k + 5*g = 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:19 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*((-840)\/72)\/(55\/(-231))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 16) in base 8?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((1 - 1) + 31 + -47 + 26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**8\/1120 + q**7\/315 + q**6\/360 + q**4\/8 + 2*q**2. Let c(h) be the second derivative of j(h). Solve c(f) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12) - (14\/(-21) - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 5b?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 569209 = -2*a, 3*z - a - 84505 = 257021. Let n = z - -266157. Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.047192.\nAnswer: 0.141576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 144935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 + 6*q - 4. Give s(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 24 + 61 = 27*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12)\/(sqrt(6)*3) - (3 + (1*sqrt(2) - sqrt(2) - sqrt(2))) - ((1*sqrt(72) - sqrt(72))*2)\/sqrt(4))**2 + -3.\nAnswer: -140\/9 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (15 - (19 + -9))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -5*r**4\/12 + r**3\/6 + r**2\/2 + 2*r + 235. What is g(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393050 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9464519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 8*s**2 + 7*s - 13. Let n be f(-9). Suppose -5 = -3*r - n*i, r + 4 = -2*i + 7. What is the biggest value in -1, -16, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5377, 6, 3, 2 in descending order.\nAnswer: 5377, 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003036 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2430*b - 2187*b - 1458 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k**4 - 189*k**3 - 960*k**2 - 1476*k + 432 = 0. What is k?\nAnswer: -6, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 10. Suppose 5*m + 3*r - 33 = 90, -5*m + 4*r + 116 = 0. Suppose -16*y + 136 = m. Calculate o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 - 2068*q**4 - 397992*q**3 - 33438896*q**2 - 977524640*q + 5774649600 = 0.\nAnswer: -134, -120, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 180 + 2703?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27062 times -0.01\nAnswer: -270.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e52a (base 16) to base 6.\nAnswer: 5245454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*g*o**3 + 380*g*o + 1068910*g - 2369*o**3 - 200 with respect to o.\nAnswer: 132*g*o**2 + 380*g - 7107*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52514 and 0.3?\nAnswer: 15754.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/((-5247)\/212)*(-4)\/((-48)\/(-63))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 940180*h**2 + 7051342*h\/5 - 12\/5.\nAnswer: 2*(2*h + 3)*(1175225*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 14*k**2 - k**3 + 3 - 6 + 2*k**3 to the form a*k**3 + v*k**2 + c + o*k and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-570)\/14 - (-65)\/((-14560)\/64)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 171, 409, 863, 1605, 2707?\n\"Answer: 12*y**3 + 10*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 15*f = -15. Suppose 2*a = -5*y + a + 22, -2*y + 4 = 2*a. Solve -3*l = z + 3 - 5, -y*l - 6 = -f*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 * 0.6.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 105520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83886 is divided by 3495.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 2, l: 1, y: 1}. Give prob of picking 1 a and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29187430?\nAnswer: 2, 5, 31, 94153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10525289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g = 15*g + 445 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 26 = 2*l, -5*l = -w + 19 + 7. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10102829*h + 5535539 wrt h.\nAnswer: -10102829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5858417 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-858)\/390 - 182\/(-10) and 19 - (1 + 1 - 1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14351807 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(363)*-2 + sqrt(363) - sqrt(363) - (sqrt(144)\/sqrt(12) + sqrt(3))) + -5 + -6*sqrt(6)\/sqrt(2))**2 + -3.\nAnswer: 310*sqrt(3) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 2. Let s = 3 + -3. Let n be t(s). Let z(a) = -2*a**2 + 8*a + 242. Let q be z(13). What is the highest common divisor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5475 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2828 rounded to two decimal places?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.285264 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089 = 669*j + 7894 - 1104 + 6003 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001001010000010110111 + 111?\nAnswer: 10000001001010000010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (19950\/1539)\/(-35)*2*(-9)\/(-12)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -45\/4. What is the smallest value in n, -7, -1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4455 + 4466. Let i(b) be the first derivative of -b**3\/3 - 13*b**2\/2 - 13*b - 8. Let o be i(-11). Solve 5*k - w = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 42. Suppose -5*k = 0, 4*k - t = -4*z - 1. Solve 4*o + 8 = 4*s, -s + 4 = 2*o + z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41\/(3*(-3)\/(-63)). Let q be (x - -3)\/(3\/24000). Suppose -2320000 = -2*w - 4*t, -2*w + q = 2*t - 6*t. What is w rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 2, y: 1, b: 4, o: 1}. Give prob of sequence owyb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 46*w - 9 = 0. Let v be (24\/54)\/((-3)\/w)*-3. Suppose -2*i = -0 + 6. Put v, -2, -6, i in descending order.\nAnswer: v, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, -99, -196, -297?\n\"Answer: -2*d**2 - 87*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*v - 340*v + 175*v - 8 in the form t*v + u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b468 (base 13) in base 6?\nAnswer: -100352444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:29 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (2 + 3 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q - 3 = -3*d, 5*d = -5*q + 40. Let w(z) = -3*z + 11. Calculate w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -9 - 5 - 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 5 - 2 + 5*i + 2. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**8\/20160 + v**7\/2520 + v**6\/720 - v**5\/20 + 2*v**2. Let d(z) be the third derivative of q(z). Factor d(y).\nAnswer: (y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15 + 55. What is the third derivative of 3*k**5 - 3*k**5 - i*k**6 + 676*k**2 - 656*k**2 wrt k?\nAnswer: -1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9277 + 9277 - 10*q**2. Let d(h) be the second derivative of 5*h**4\/12 + 79*h. What is f(d(y))?\nAnswer: -250*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 266*o - 67*o - 61*o - 7*o - 61*o + 1372.\nAnswer: -2*(o - 49)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*u + 41 = 22, 0 = -5*i + 5*u + 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8049, 15727, 23049, 30009, 36601, 42819, 48657, 54109?\n\"Answer: -a**3 - 172*a**2 + 8201*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (166 + 582 - 47*u + 49*u)*(-4 + 2 - 3) - 2*u - 4 + 4 in the form v + o*u and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -31, -4\/7, -5, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - (0 - 0)) + 1. Let z(q) = q**3 - 9*q**2 + 11*q + 5. What is the remainder when z(v) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.05, -0.03713181, 5 in descending order.\nAnswer: 5, -0.03713181, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**3 + 4*t**2 - 42*t + 31. Is s(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/36 (b) 0.05 (c) -0.08 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378 (base 11) to base 13.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14721.97612 - 0.02388. Let w = v + 14636.848. Let f = -85 - w. Round f to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 17. Suppose -n - 3 = a*w, -4*n = -3*w + w - 10. Let i be (-1 - w)*12\/(-24). Solve i*v - v = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2437)\/(-24) - (-8)\/(-12). Let b be (-608)\/(-6) + (-1)\/3. Let r = n - b. Put -3, r, -4 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-106)\/(-66) + 15\/(-55). What is the second smallest value in d, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 15. Let i(n) = -n - 1. What is -4*i(k) + s(k)?\nAnswer: 2*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**2 + 64*v - 7. Let i(b) = 9*b**2 + 43*b - 5. Determine -7*i(j) + 5*w(j).\nAnswer: 2*j**2 + 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 105*r + 11. Let a = 141 - 139. Let j be t(a). What is the highest common factor of 102 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -245, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 - 16*l - 14. Suppose 4 = n - 3. Let p(w) = -4*w**2 + 8*w + 7. Let z(k) = n*p(k) + 3*u(k). Let t be z(10). Is -13 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 2*t + 3*t)*(-3106 - 661 + 1143) + (4 - 4 + 1)*(4*t + t - 4*t) in the form i + o*t and give o.\nAnswer: 2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4176562 - -0.2?\nAnswer: -4176561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**3 - 4*i - 19. Let y(o) = -12*o**3 - 9*o - 39. Let s(b) = 9*l(b) - 4*y(b). Differentiate s(q) wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-4)\/(-6)))\/(-63*(-34)\/14280).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)\/1 + -1. Let d(q) = -2*q**2 + 4*q + 1. Let n be d(1). Suppose 5*x - 10 = c, n*f = -2*f - 4*x + 478. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -25*r + 22*r - 2*v, -r = -3*v - 69. What is the third derivative of -4*o**3 - r*o**6 + 15*o**3 - 13*o**3 - 2*o + 26*o**2 + 4*o wrt o?\nAnswer: -7200*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 7, 4, -1, -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3238698.\nAnswer: -1\/1079566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c - 12*p + 11*p, -4*p + 10 = c. Solve c*j - 4*h - 26 = 0, -5*h - 14 = -j + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.9 from -10631.\nAnswer: -10619.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvhvhvvvhhhh. What is prob of sequence vvv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.93708us in days?\nAnswer: 0.0000000004275125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -7. Let x = -2666 - -2672. Let a = x + m. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-18))\/((-85)\/34)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1135566*p**3 - 298972 with respect to p.\nAnswer: 3406698*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 207, 269, 333?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 718720 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*(r**(2\/5)\/r*r)\/r)\/(r**1)**(-2\/67) assuming r is positive.\nAnswer: r**(1484\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 646.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 1.7. Let x = -5.2 + d. Let n = 6.9 + x. Which is smaller: n or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, t: 4, r: 2}. What is prob of sequence rtqq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 7\/5*w**4 + 0*w - 2\/5*w**2 - 9\/5*w**3.\nAnswer: -w**2*(w + 1)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19822*r - 106915*r - 33577*r.\nAnswer: -120670*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*w)*(-129*w**2 + 19*w**2 - 95*w**2 + 19*w**2)*(w + 0*w - 4*w).\nAnswer: 1674*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76 + (-41 - -39) - 186\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -13. Let g be ((-20)\/8)\/((-1)\/2). Solve n = t - 5, g*t + 0*t - j = -4*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -0.125. Let m = -0.0489 - -0.1119. Let z = a - m. What is z rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = -b, 0 = -2*u + b + 49. Let g = u + -20. Suppose -11*h + 8 = -g*h. Solve 4*n = -4, 0*l = 4*l - h*n + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f. Let l(x) = -10*x. Let q(u) = 7*d(u) + 5*l(u). Let n(b) = -7*b + 3. Let z(s) = -55*s + 25. Let c(o) = -25*n(o) + 3*z(o). What is c(q(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3305 - 1?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 107*w**2 - 5*w + 1. Is j(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2408 = 6*q + 668. Let v = q - 287. What is the fourth smallest value in -4, 34, v, -0.2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 291, 618, 945?\n\"Answer: 327*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 450193 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(7 - (2 - -6)). Let b(t) be the second derivative of 1\/2*t**2 + u + 3*t - 13\/6*t**3. What is the derivative of b(k) wrt k?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10*l = -13*l. Solve l = 15*f - 7 - 38 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 8*k + 3 = 0. What are the prime factors of (18 - 1)*11\/(k + 2)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from urxxkzurlkxlxzlu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955901 is divided by 5252.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-30)\/(-68))*5)\/((-48)\/5424*-113)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3 - 1. Let s(y) = 3*y**a + 7*y - 9*y + 2*y. Let z(x) be the second derivative of x**3\/6 - 47*x. Give s(z(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 380 from 0.09107.\nAnswer: -379.90893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let z(l) be the first derivative of 1\/3*l**3 - 1\/4*l**4 + 4*l + 7 + 0*l**2. Determine z(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(-8) + -4 + -6 + 18?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(425)*3)**2 + sqrt(425) + -2 + 4.\nAnswer: 5*sqrt(17) + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/5 - 76*j\/5 + 722\/5 = 0. Calculate j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 4 + 8*o + 18 + 18. Let j be x(-20). Let h = -68 - j. What is the lowest common multiple of h and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 - 640*m**4\/3 - 58442*m**3\/3 - 1198564*m**2\/3 + 2575024*m\/3 - 1317376\/3 = 0. What is m?\nAnswer: -166, -124, -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-162)\/(-1710)*20 + (-2)\/(-19). Let m(a) = -4*a + a - 7 + 2*a. Let k be m(-12). Solve -3*r - q*r + k = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000494285 to seven dps.\nAnswer: -0.0000494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - k. Let m(s) = 3*s**3 - s - 1. Give 2*m(j) - 5*v(j).\nAnswer: -4*j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 7 - ((9 - 20) + (19 - 12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12835, -51509, -115963, -206197, -322211, -464005, -631579?\n\"Answer: -12890*t**2 - 4*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 + 306*q**4 - 7473*q**3 - 8406*q**2 + 15576*q = 0.\nAnswer: -2, 0, 1, 44, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20984 + -20980. Solve -2*m - 21\/4*m**3 - 2*m**n - 11\/2*m**2 - 1\/4*m**5 + 0 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 4*v + 6. Let c(i) = 74*i + 1493. What is the remainder when c(-20) is divided by n(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2254 (b) -1 (c) -5 (d) 28\/17 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 6. Let n(j) = 5*j - 1. Let c be n(-1). Calculate w(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/6 - 8\/(-12). Let t be 6\/(-4) + (-70)\/a. Suppose -5*n + g + 170 = 0, 4*n + 2*g = 124 - t. Calculate the highest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 6*v)*(-46*v**2 - 58 + 58).\nAnswer: -46*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*c**3 + 4*c**3 + 3*c**2 + 10*c + 60*c**3 - 1 as p*c**3 + m*c + z*c**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from {y: 8, p: 3, w: 5}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/22, -0.2, 0.2, -2\/531, 2\/65?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19533.10117 to the nearest ten.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let g be w(1). Let y = g - 0. Suppose 0 = -y*f + 2*f - 2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -3 - -2) + 0. Let c be j\/(-4*2\/(-8)). Solve 0 = -5*u + 3*y - 25, c = u - 0*y + 5*y - 23 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/15312)\/(-6 - (-147)\/24)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*v**3 + 0*v**3 + 2*v**4 + 200*v**2 - 201*v**2 to the form q*v**3 + l*v**2 + m*v**4 + j + z*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 790?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 2 - 4 + 7 - 2 + 8. Calculate o(11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35547 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(88) + -1*sqrt(88)*-4)\/((sqrt(88)\/sqrt(11) + sqrt(8))*-6).\nAnswer: -5*sqrt(11)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 27 - 33 = 0. Let l be (-14)\/10*(-2 + -3). Suppose -x*m + 549 = l*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1081*o - 142797. What is m(-132)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 11*t - 8. Let p be l(-10). Suppose b - 5*y = 10, -b - 2*y - p*y = 8. What is the tens digit of (-10)\/((-2)\/(b - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 11) to base 9\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 752 and 304.\nAnswer: 14288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 284731 and 89.\nAnswer: 25341059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140240 (base 6) to base 9.\nAnswer: -18816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2406 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (14 - (18 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 3*z - 4*z + 2*z. Let t(f) = -2*f**2. Calculate t(w(a)).\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -9, -13, -17?\n\"Answer: -4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x - 3. Let c be t(-3). Suppose c*i + h = 104 - 25, 3*h - 69 = -3*i. Let m = i - 14. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 458?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkiw when four letters picked without replacement from {q: 1, a: 1, k: 4, w: 1, i: 6}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -41, -26?\n\"Answer: 15*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**3 - 2*a**2 + 22*a - 9. Let u(d) = 8*d**3 - 2*d**2 + 10*d - 4. Let w(b) = 2*p(b) - 5*u(b). Factor w(l).\nAnswer: -2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 6*y + 2. Let h be w(6). Let a(n) = 6*n**h - 2*n - 2 + 1 - 2 + 6 - n**3. What is the units digit of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1714 - 4757. Let w = y + 48629\/16. What is the common denominator of w and 77\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6584 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32714360 by 1635718.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-3))\/(892\/669). Which is the biggest value? (a) -11 (b) -1\/10 (c) n (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67743 - -138115. Let l = d - 1365858. Round l to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 + 2*a**3\/3 - 2*a**2 - 11*a. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (6\/1)\/3. Let x(y) = y**2 - 9*y + 9. What is the units digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8897 and 7859249.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (16\/4 - -3) + 1 and 19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -45. Let a be f\/22 - (-4 + 322\/77). Solve a = 2*t - 6*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137833 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + 2\/8. Suppose 10 - 98 = 11*m. Sort j, m, 5 in decreasing order.\nAnswer: 5, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -4 (c) 0.02 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by -14.\nAnswer: 225\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e033 - -531?\nAnswer: -3da02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 42*k**2 + 247*k. Determine b(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8672032 divided by -4336016.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8211 divided by 483.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/40 - 43*k**4\/8 - 1849*k**3\/4 - 79507*k**2\/4 + 840*k. Find z, given that y(z) = 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -13. Suppose 5*m + 5 = 3*y - j, 2*m = 4*y - 38. Let h = -1 + y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 6\/19 (c) -11 (d) 4 (e) 1\/4 (f) -0.1 (g) 2.33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = -3*j. Suppose 5*h + 36 = 4*v, -5*v = j*h - 0 - 8. Suppose v*z + 0*z = 28. Calculate the highest common factor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228 + 510*f - 221*f - 279*f as l + h*f and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*j - 110, -3*j + c = -97 + 2. Calculate the highest common divisor of 320 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63378 - -18950005\/299. Is -2\/7 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 183800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1945 - (-2 + -5 + 2). Let q = 6787 + o. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*n + 2817*h - 2822*h, -6*n = -5*h + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1974436 or 1974435?\nAnswer: 1974436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.4 - 77. Let k = -0.1 + -0.4. What is the nearest to -1 in -2\/3, k, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 36960.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 - -50) + 11 - (-171 + 156)) + 3 + 1.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.7*-1.5.\nAnswer: -34.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19837 * -0.009.\nAnswer: -178.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 1\/24*s**4 - s**2 + 0*s + 0 + 1\/3*s**3. What are the prime factors of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2926*n + 179157. Calculate u(60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -2.19541.\nAnswer: -15.36787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206116832?\nAnswer: 2, 587, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(4\/11)*r)\/r)\/(r\/r**8))\/(r**(-5)\/r)**(-2\/51) assuming r is positive.\nAnswer: r**(1520\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22881 and 48918.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767754.\nAnswer: 2, 11, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748 is divided by 155?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -5, -3, 2, 11 in decreasing order.\nAnswer: 11, 5, 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -124322, -248643, -372964, -497285, -621606?\n\"Answer: -124321*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -27*q - 1. Let n be k(-1). Suppose -3*m + 7*m = 5*d + n, -4*m + 18 = -d. Find the third derivative of -3*u - m*u + 2*u**5 + 4*u**2 + 7*u wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1953906 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 6*s - 5*s)*(-1 - 1 + 1)*(-4*s + 0 + 0).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/30)\/(35\/(-30)) + 9\/6*2. Determine j so that -12\/7*j - 3\/7*j**2 + z = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/9 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 25 = 11*h + 5*m, -5*h - 2*m - 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 25 - 100 + 42 - m + 14.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/(-336)*9\/2 and 69\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-6)\/((-30)\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-45 - -52) - 29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(6000)*-3)\/(-4*sqrt(972) + sqrt(108) + (2*sqrt(108) - sqrt(108))))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3210, -3207, -3216, -3243, -3294, -3375?\n\"Answer: -w**3 + 10*w - 3219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + sqrt(187) + (-1*sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187))*-6)\/(sqrt(176)*-2)*-6 + -4.\nAnswer: -4 + 39*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -3. Let c be 2\/6 + (-10)\/d. What is the derivative of -6*p**c - p**2 + p**2 + 3 + 4*p**2 wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 3554480921.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -64. Solve 5*w - 3*t = -f, -2*t - 18 = 4*w - 4*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 78. Let u be g(13). What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from saptst?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(4 - 10) + -6 - -26361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 7 - (1 - 8)) + (-53 + 82 - -98).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 5*b. Let d(s) = -s**2. Let w(v) = 2*v**2 + 3*v. Let z(y) = -3*d(y) - w(y). Determine -3*q(h) + 5*z(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10313230 (base 4) to base 9.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 43140*w**2 + 0*w - 31*w**3 + 86213*w**2 - 43073*w**2.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 40*s - 130. Is a(20) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 0. Suppose 2*r + 2*r = o. Suppose -2*i + 1 + 11 = r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8961*-175.\nAnswer: 1568175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*v + 2*y, 4*y + 2 + 0 = 2*v. Let x(p) = 6*p + 28. Let h be x(-4). Determine z so that 8*z**3 + 10*z**2 + 15*z + v*z**4 - 11*z - 3*z**h = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(8\/2) - -4. Suppose 4*s + 5*m = 14, -2*m + 9 = s + 2*m. Is s <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/11 - 3040*u\/11 + 3038\/11 = 0. Calculate u.\nAnswer: 1, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 90, 8, 0, -3, -1317 in descending order.\nAnswer: 90, 8, 5, 0, -3, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20187 is divided by 1833.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 1 f when three letters picked without replacement from {r: 5, p: 2, f: 1, h: 2, s: 1, v: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180039 or -1218?\nAnswer: -1218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t = 6268. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:28 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*t - 10 = -184*t + i, 0 = t - 5*i + 16 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 equal to 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-152)\/(-95))\/((-836)\/120 + 7). What is the highest common divisor of 10176 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 3 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(1260))\/(sqrt(60)\/sqrt(192)) + 0.\nAnswer: 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6839.28308 to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/(9\/(-66))*-2. Let r = f - -13. Let i(t) = -2*t**2 - 3*t**2 - t**2 + 2*t**r. Calculate i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-35)\/(-16620)) + 3. Let v = -471 - o. What is the second biggest value in v, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/133253?\nAnswer: -6\/133253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Suppose 2*x + 2*x - 32 = 0. Let k(s) = -s + x*s - s. Determine k(y(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.616 + 133.134. What is m rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174166 is divided by 998?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/289 or -1?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-171)\/(-15))\/((-39)\/(-325)) is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/3)\/i*i\/i**(-1))**(-10))**(-9) assuming i is positive.\nAnswer: i**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from ggvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2 - 29*g + 78. Give y(-8).\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35772 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((68 - 14) + -25 - 122) + 22?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27334, 54682, 82030, 109378?\nAnswer: 136726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 a when four letters picked without replacement from tataaattaaaaaataaa?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-12) + (2 - -2 - 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28014405 rounded to the nearest 10000?\nAnswer: 28010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 206*n - 8. Let c(m) = 418*m - 15. Give -2*c(h) + 5*z(h).\nAnswer: 194*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 663612 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + 3*u**5 + 0*u**5 + (22 + 4*u**3 - 22)*(u**2 + u**2 - 4*u**2) + (-2*u**3 + 0*u**3 + 3*u**3)*(-2*u + 2*u - 3*u**2) - 3*u**5 + 0*u**5 + 5*u**5.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*f + 116 + 396 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178775098 is divided by 810.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22479, -23729, -27129, -33753, -44675, -60969, -83709, -113969?\n\"Answer: -179*v**3 - v**2 + 6*v - 22305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 28. Let l = -9 + p. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181 * -53334\nAnswer: -9653454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 3. Let c(n) = 2*n + 2. Let k(y) = 3*c(y) - 2*m(y). Let j(x) = -6*x**2 - 8*x**2 + 17*x**2 - 5*x**2. Determine j(k(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27882\/6196*(8\/(-1341))\/2\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 9. Let g be b(-2). Let t be (-22)\/(-33) + g*1. What is the third biggest value in 1, 0.8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1837*a - 1820*a + 25 + 43 = 0. Put 0, -1, -283, a in ascending order.\nAnswer: -283, a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrz when three letters picked without replacement from yrrrkykrrrrzzyr?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3105394805 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25000\/7 or -3570?\nAnswer: -3570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0, -3, -1\/45, 0.4, 6345 in decreasing order.\nAnswer: 6345, 0.4, 0.02, 0, -1\/45, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-44)\/20 - -2). Suppose 0 = o + 15 - y. Calculate the remainder when 67 is divided by o\/5 + 15 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.128 + 0.872. What is the nearest to y in -3\/16, -3, 4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.696207 months in decades?\nAnswer: 0.055801725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/(-15))\/(2\/6). Let j(p) = -3*p**3 - 3*p**2. Let c be j(-2). What is the greatest common factor of c and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.36?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 96. What is the highest common divisor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/60 - (-30)\/(-150).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g**(-6))\/((g\/g**1)\/g**5) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9800\/1200*3\/7)\/(28\/528).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28*l - 72. Let v(z) = -z + 3. Let m be ((-1)\/8)\/(7\/(-56)). Let y(g) = m*a(g) + 24*v(g). Let r(k) = -2*k**2 + 7*k. Give r(y(i)).\nAnswer: -32*i**2 + 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 10}. Give prob of picking 3 g and 1 q.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*j + 69. Solve j - 1 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198173215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006122562 rounded to 6 decimal places?\nAnswer: -0.006123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*t**3 + 19*t**4 - 9*t**4 - 7*t**4 - 504*t**2 - 15*t**5 - 3*t**4 + t wrt t.\nAnswer: -900*t**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170 and 3145.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 6 + 30. Suppose 0 = -3*t + r*l + 727 + 185, 3*t - 4*l - 911 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41619921 and 0.3.\nAnswer: 12485976.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5848*f + 6544*f - 447*f**5 - 11216*f wrt f?\nAnswer: -8940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4354765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2271, -2226, -2153, -2052, -1923?\n\"Answer: 14*b**2 + 3*b - 2288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3\/10, -0.5, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, g: 1, o: 1, v: 6, h: 5, p: 1}. Give prob of picking 1 g, 1 o, and 1 h.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -163\/6656 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 20, -15*j + 13*j = -5*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -834, -1304, -1828, -2424, -3110?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 46 = 79. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3124 + -1.536. Let s = -0.76 + j. Round s to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = 3*d. Let b(m) = 4*m - 4*m + m. Suppose 4*c + j = -5, -3*c - 189 = -4*j - 190. Let s(f) = -f. Determine c*b(x) + d*s(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 11*n + 12. Calculate the smallest common multiple of 2 and v(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.035846.\nAnswer: 0.143384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -5. Suppose 23 - 73 = -u*o. Suppose -5*f + 56 = 4*i, 0*i - 5*i - 5*f = -65. Calculate the remainder when o is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72148917319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**7\/14 + 13*u**6\/10 + 189*u**5\/20 + 83*u**4\/4 + 17*u**3 - u + 107. Determine c, given that i(c) = 0.\nAnswer: -2, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*822.\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o + 12. Let p be 8 - 0 - (33 - 27). Let k(z) = -4*z + 3. Give p*a(f) - 9*k(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 11897612*w - 154668280.\nAnswer: -4*(w + 13)*(w + 2974390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (92\/6)\/(5\/(-15)). Let l = -10 - m. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**(-15\/4) assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 5 - 179)*((-2 - 1 + 5)*(2*d - 3 + 3) - 4*d + 7*d - d - d - 1 + 1 + (-4*d + 6*d + 0*d)*(-3 + 2 + 0)).\nAnswer: -495*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 5*n - 3. Let y(q) = 10*q**2 - 16*q - 9. Let g(l) = 7*j(l) - 2*y(l). Is g(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.145659 times 3\nAnswer: -0.436977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 981, 2418, 4693, 7962, 12381?\nAnswer: 18106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6)\/(sqrt(8)*-1 + sqrt(2)) + (sqrt(3) - (sqrt(45)\/sqrt(3))\/sqrt(5) - (sqrt(3) + 0 + -5)))**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 5, -8, -0.4, 2\/13, 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 5:05 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 491 times -200486\nAnswer: -98438626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 + -1 - 6) + -17 + 21)\/1. Which is smaller: t or -11\/79?\nAnswer: -11\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 40. Suppose -19 = 2*r - v, 2*r + 4*v = 3*v - 13. Let n = l + r. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (1 + -1)\/2. Let b(z) = -20*z. Let l(q) = 2*q. Let p(y) = -2*b(y) - 22*l(y). Let g be p(c). Calculate the highest common divisor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-70))\/(345\/3220).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 11*g + 6. Determine d(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d + 9. Suppose 0 = 6*p - 13*p + 140. Suppose -5*r + 15 = -p. What is f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p + 37*p = -55*p + 9540 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223.262 times -4.8?\nAnswer: -5871.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -421, -0.1, -21938?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.193 - -33.807. Let j = 34.0000986 - c. What is j rounded to six decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*s - 44360 - 36905 + 13155 = 0 for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 17\/((-6800)\/12850).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - f = 4, 0 = -8*g + 3*g - 4*f - 10. Let p be g + 32\/2 - 2. What is the greatest common factor of p and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n - 27*n + 23*n)*(2*n + 3*n + 0*n) to the form r + c*n**2 + a*n and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 354813747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 275730?\nAnswer: 275730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-60))\/(2\/(1302\/(-7)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-20))\/13 + ((-20296)\/295)\/(-43)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.928 - -1.252. What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 20 + 139. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.238 - -0.238. Let x = -140.00000062 - t. What is x rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12229*n**4 + 28989?\nAnswer: 48916*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/7, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 2, 5, 207597.\nAnswer: -63, 2, 5, 207597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13)\/(o*o*o**6*o))**(-12))**(14\/13) assuming o is positive.\nAnswer: o**(19320\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 + -168. Let l = g - 36. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/1939 and 10\/18952063?\nAnswer: 132664441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36646.\nAnswer: 2, 73, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.55 * 0.4.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g - 9. Let z(h) = 34*h + 4 - 31*h - 8. Let n(o) = 4*b(o) - 9*z(o). Let m(a) be the second derivative of -25*a**3\/6 + 27*a. Give -6*m(v) + 51*n(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 131.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:43 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 + l + 3. Let v be f(2). Solve 5*x + 13 = -2*y, 25*y + 16 = v*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 + 7*f. Let k be v(5). Let s = 47 - k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -0.019, 201, -3?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.43 and 339.328.\nAnswer: 145.91104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 + 268. Solve -12*r + z*r - 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(h + 2*h - 4*h) - 2*h + 9*h + h + 3 - h - 3 + (0*h - 2*h + h)*(4 - 1 - 1))*(850*h**2 + 858*h**2 - 1616*h**2).\nAnswer: 276*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by ((-24)\/5 + -3)\/(1\/(-5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7134 and 60668.\nAnswer: 7462164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -317, -464, -753, -1232, -1949, -2952?\nAnswer: -4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c. Let w(d) = 21*d. Give w(o(s)).\nAnswer: 252*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:52 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -2 + 13 - (10 + 51)) + -14 + 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626 != 6627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188 + 184 + (2 - 10) - -24) + -55.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(0 + 0 - -1). Let a(d) be the first derivative of d**4\/4 + d**3 + 3*d**2\/2 + 2*d - 3. Let f be a(-2). Sort f, z, 1 in increasing order.\nAnswer: z, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 842 - 812. Let v(w) = 3 + 3 + 2*w**2 - 5 - w**2. Let b be v(-2). Solve -5*f - 5 = b*d - y, 2*f = 4*d - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 7b?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -44*b**2. Let c(q) = -1 + 2 + 24*q**2 + 4 - 5. Determine y(c(o)).\nAnswer: -25344*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/7))**(-3\/2) assuming k is positive.\nAnswer: k**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 3. Let u be z(0). Let x(c) be the third derivative of c**4\/24 + c**3\/2 - 3*c**2. Let p be x(2). Solve i + 13 = -4*y, u*y + i = y - p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*b + 12, 3*n + 33 + 6 = -5*b. Let m = 11 + n. Suppose m*p + 13509 = 5*d, d = -d - 5*p + 5385. What is d rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*i - 186 = r, 5*r + 320 = 5*i. Let t = 108 + r. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5\/4, 5, -3, 6.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n = -86*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64 from 146.1236707.\nAnswer: 210.1236707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a168a280 - 0?\nAnswer: a168a280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 218479 + 229231 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - -5 - (73 + -87)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -8, -0.5, -1\/5, -2\/5 in decreasing order.\nAnswer: -1\/5, -2\/5, -0.5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, 226, 0 in increasing order.\nAnswer: 0, 5, 18, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.07.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2367948*p**2. Let n(o) = o**2. Calculate u(n(i)).\nAnswer: 2367948*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {t: 9, w: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1093627 or 1093635?\nAnswer: 1093635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:54 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70948530.\nAnswer: 2, 3, 5, 788317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 3:44 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = -5*r + 7, -2*d + 2*r = -8. Suppose -2*q + 3 + d = 0. Solve 0 = 4*g + a - 12, 0 = -q*g + 5*a - 0 + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, n: 2, a: 1}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 27*b**2 - 140*b - 1. Let h be o(8). Solve -2*n = -2*m, h*m - 15 = n + 91*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.394 take away -0.0293?\nAnswer: 2.4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -4132141304?\nAnswer: 4132141314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose i = 5*k + 2*n - 6, -k - 4*n + 12 = 3*k. Let w be 0 + -1 + (-9)\/(-7). Does k = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 7*f**2 - 7*f - 3. Let r be j(-6). Suppose -5*b = -r*i - 156, 0 = 5*b + 2*i - 3 - 143. Solve -3*x = -39 + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1893899 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -213, -357, -503, -651, -801, -953?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5292 is divided by 155.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.1 - -24. Let x be (-1)\/(-12) - 8\/(-12). What is the third biggest value in x, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + 0 + (-8)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -399, -2\/3, 1, 115, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -35. Let k be (2 - -1) + (-7 - z) + -3. Let r(u) = -u - 1. Calculate r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvnnpnnmmmpppvnpvn. What is prob of picking 2 m and 2 n?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 450244637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**6\/10 - 21*x**5\/20 + 15*x**4\/4 + 204*x. Find the third derivative of n(i) wrt i.\nAnswer: -72*i - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*17*45\/(-32130)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 g when four letters picked without replacement from nggnngn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-354)\/(-356) + -1)*(-2)\/31. Let h = 124163\/22072 - u. What is the common denominator of h and -101\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c - 174*c - 123 = -3*a, 4*a - c - 159 = -0*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q + 0*q + 8*q - 22*q + q - 3*q - 16*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2603 - -2617.17. Let i = -0.03 - p. What is i rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8870982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 619593080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14801889 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -141. Let z(g) = 61*g - 425. Let w be z(7). Solve -16 = w*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-540)\/24*224\/(-840) is divided by 2\/2 - -1*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/(c\/((c\/(c**1*c))\/c)))\/c)\/c*c*c)**(-41))**(-41) assuming c is positive.\nAnswer: c**(-1681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 7*r + 30. Let i be m(-7). What is the highest common divisor of i and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 1\/2 (c) 157.37507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.3606091 months?\nAnswer: 0.0196717425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 29. What is the remainder when ((-288)\/27)\/(1\/(-3)) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 5*l**2 - 5*l**3 + 9*l**2.\nAnswer: -5*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000044 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109, 270, 539, 976, 1641, 2594, 3895?\n\"Answer: 10*j**3 - 6*j**2 + 109*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048387 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 148*z + 1409. Let n be i(-9). Solve n = 7*k + 42 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291799 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 - 154 + 842*m - 842*m to the form b*m + c*m**2 + w and give w.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 159, 149, 135?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + -100210201?\nAnswer: -100202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5080 + 8594?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6485560*n**4 + 16*n**2 - 17526*n.\nAnswer: 155653440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnayay. Give prob of sequence nx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*-8 + -2. Let z be 1*-2 - (-8)\/2. Solve z = -k*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 67*q - 6. Suppose 3*i = -2*r + 69, -r - 57 = -5*i + 45. Let k = -18 + i. List the prime factors of d(k).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*v - 896 = -347 + 595 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -6\/5*q - 4\/5 - 2\/5*q**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44365776 by 39.\nAnswer: 1137584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27019969 and 4952.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-5)*(1 - 3). Let r = -1 - -1. Let v = o - r. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d1 + 7?\nAnswer: -17ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -5252344?\nAnswer: -5252360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 34 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 7995*p**2 + 252230*p - 684600.\nAnswer: -5*(p - 28)*(p - 3)*(p + 1630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 23 - 23 + 49)*(-d + 8*d + 0*d).\nAnswer: 63*d**2 + 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 6. Let y be h(-5). Let p = 0 - y. Let l = 6 + -10. Is p at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -92*b - 167*b**2 + 314*b**2 - 149*b**2 = 0.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/902*-22*(-148)\/(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5 - 165595*i**4 + i**2 + 47076*i?\nAnswer: 120*i**2 - 3974280*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2307994 or -1?\nAnswer: -2307994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(j**2 + 2*j**2 + 3*j**2) - j**2 + 2*j + 0*j**2 + j.\nAnswer: -19*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-305*m - 26783 + 26783 - m - 2 + 2 + 2*m - 2*m + 2*m + (6*m - 4*m + 0*m)*(0 - 1 + 2))*(0*m**2 - m**2 - 6*m**2).\nAnswer: 2114*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:06 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.84 + -21. Let g = -0.34 + j. Sort 0.3, g, 1, -1\/7 in decreasing order.\nAnswer: 1, 0.3, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*-1)\/((sqrt(9)*2 - sqrt(9))*-6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13018, 13011, 13004, 12997?\n\"Answer: -7*m + 13025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330464.\nAnswer: 2, 3, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3641770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j. Suppose 19*w = -4*x + 15*w + 108, -w = -4*x + 118. Calculate the remainder when x is divided by c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1\/8, 0.41, -27, 1\/3 in descending order.\nAnswer: 0.41, 1\/3, 1\/8, -27, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/5)*i)\/i**(-1\/4))\/(i\/i**(-1)*i**(-4\/3)*i))\/((i**2\/i)\/i**6*i**(1\/8)*i**(3\/7)) assuming i is positive.\nAnswer: i**(3217\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/15?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.045789 in -2\/5, 0.062, 5?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31001 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - 15*f**2 + 29*f + 29. Is y(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*b - 5*h, -24128*b - h = -24130*b - 18 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -4, -2, 7, -2\/519, -1?\nAnswer: -2\/519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 2 (c) -13 (d) -2 (e) 5\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-90)\/(-54) - ((-47288)\/24 + -6) is divided by 336?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1426, -392, -0.2, 2, -2\/9 in increasing order.\nAnswer: -1426, -392, -2\/9, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23*y + 12*y**2 - 23*y - 9*y**2. Let a = 2 + 3. Let x(c) = c - a*c + 2*c. What is x(p(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 65 - 253*r - 5*r**2 + 125*r + 128*r to z + q*r**2 + y*r**3 + d*r and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 278*g - 3326, -4*n - 516*g = -511*g - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 556.7 + -119.4. Let f = -457 + v. Let k = 1.3 - f. Is k bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -3*p**2\/2 - 41*p - 1. What is the derivative of y(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/84)\/(10\/(-35)). Which is bigger: s or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20723212.\nAnswer: 2, 53, 239, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - 16*i + 73. Let p(r) = r**2 - r + 1. Let w(m) = -4*p(m) + u(m). Let o be w(12). Let t = 145 - o. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200416965 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 17. Let q = -63 + 65. What is the tens digit of (-518)\/(-13) + q\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.00005 - -3. What is d rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2)\/(0 - -1). Solve 4*c = 4 - v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-156)*-52)\/((-1)\/((-2)\/(-2)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 10. Let r = 4.02 + z. Let i = 0.02 - r. What is the third biggest value in 1, i, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 5*j + 315. Suppose -24 = 42*l - j*l. Suppose 9*m - l*m - 112 = 0. Calculate the remainder when m is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.501 - 3.511. Which is the nearest to 2? (a) 0.8 (b) f (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 2*n)*(1 + 2 - 5) + (-45*n - 73*n + n)*(-1 + 0 + 4).\nAnswer: -355*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 16*c. Let h be f(0). Let p be ((-20)\/(-45))\/(14\/9). Factor h*r - 2\/7*r**2 + p.\nAnswer: -2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*t + 79*t = 274*t + 261*t + 20300 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -24, -42, -66, -96, -132, -174?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = 3*z, -5*z + 3 = 4*d + 8. Which is smaller: d or -16\/13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711028375 to the power of 1\/2, to the nearest integer?\nAnswer: 26665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.2 (b) 2 (c) -0.1 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 21*q - 1. Let c(s) = 2*s - 6. Let h be c(4). Let i be o(h). Let n = i + 17. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 8*c**2 + 8*c - 4. Let g be -14*(12\/(-8) - -1)\/1. What is k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 5*h = -6. Let k(b) = 8*b + 7. Let f be k(8). Suppose h*r - f = 57. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {g: 4, u: 2, h: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 0.29. Let k = -0.8 + -0.2. What is the closest to k in j, 3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 27*p**2 - 866*p - 9. What is the remainder when z(44) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 - 121?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/16 - -1) + (-411320)\/(-2240)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/((-1)\/4). Suppose 0*v + 3*v - 12 = 0. Let y be v\/(-3)*5\/(-30). Which is the smallest value? (a) y (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2447 and -8239.\nAnswer: -18494.0833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -0.4 (c) -1\/21 (d) 1.71 (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102501292 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 547, 813, 1079?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24965, -99817, -224605, -399359, -624109, -898885?\nAnswer: -1223717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132123 (base 4) in base 16?\nAnswer: 379b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -16. Let c(s) = -s**2 + 7*s + 7. Let f be c(q). Let t(k) = k + 2. Calculate the remainder when t(f) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -3*z**4 - z**3 + 4. Find the third derivative of h(y) wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1007381.597 to the nearest 100.\nAnswer: -1007400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) + sqrt(171) + 2)*5 + sqrt(95)\/(5*(sqrt(5) - (sqrt(10)\/sqrt(2) + sqrt(5))))*1)**2.\nAnswer: 596*sqrt(19) + 424319\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 34*o + 29*o = -129, 2*o = -6. What is the remainder when 135 is divided by k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 4. Suppose d + 2*d + 5*j = 30, 2*d - 20 = -4*j. Let g(u) = -2*u + 11. Let f be g(d). Let z = 5 + f. Give v(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120041081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -468310 + 872?\nAnswer: -467327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814609830?\nAnswer: 2, 3, 5, 27153661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12307\/2100 + -199\/28. Calculate the common denominator of -29\/1710 and w.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*h = -3, 0*c + 5*h = 2*c - 18. Let l be c\/(((-14)\/6)\/1). What is the smallest value in l, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(3\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*4*-5)\/((5*sqrt(1188))\/sqrt(11)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002663592 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31606615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41746750177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -261*n**5\/5 - 27*n**2\/2 + 12*n - 249. What is the second derivative of s(y) wrt y?\nAnswer: -3132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/340*5\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 351 in decreasing order.\nAnswer: 351, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 8, -0.2, 148, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25266 and 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 23. Let i = m - -77.548. Let p = -0.052 - i. Which is the third biggest value? (a) p (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2181 - -3468. Does 83 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6510, 8302, 11308, 15528, 20962, 27610, 35472?\n\"Answer: 607*h**2 - 29*h + 5932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -230 times 147\nAnswer: -33810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 247301, 245551, 243825, 242135, 240493, 238911, 237401?\n\"Answer: 2*s**3 - 1764*s + 249063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/74 and 17\/481.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 + -129. Which is the third smallest value? (a) 1.2 (b) t (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496235 to the power of 1\/2, to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7878931*h**3 + 6903063*h - 3.\nAnswer: 47273586*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-36))\/(42\/162)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/6)\/(3\/10). Solve 6 = u*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 4. Let l be s(2). Suppose 0 = -2*h, -l*m - h = 3*m + 550. Let c be 18\/(-45) - 64\/m. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(25380\/67152) - (-198)\/3102\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -428, -454, -500, -572, -676, -818, -1004?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**3\/5 + 3*g**2 - 48*g\/5 + 275. Factor k(t).\nAnswer: -3*(t - 8)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 465, 478, 491, 504, 517?\n\"Answer: 13*q + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.57 times 3?\nAnswer: -22.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3660031 (base 8) to base 5\nAnswer: 224221031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -186 in -71, -5, 0.021, 5?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 3*a**2 + 3*a + 3. Let b(i) = 20*i**3 - 16*i**2 - 16*i - 16. Let h = 532 + -529. Give h*b(m) + 16*q(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11676\/13 + 163321\/182. Let d be -2*(-1)\/2 + -1. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094776773.\nAnswer: 3, 863, 422857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337 = -11*s - 2436. Let z = -343 - s. Solve z = r - 3 + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - 5*x - 3. Let z be b(-1). Put -19, z, 4, 1 in increasing order.\nAnswer: -19, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -175*f + 181*f. Let h(m) = m**3 - 7*m**2 - 10. Let j be h(7). Calculate the least common multiple of 8\/(-20) - 274\/j and f.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 10. Suppose -5*v + o*w + 115 = 0, 4*v + 4*w = -21 + 105. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3784460*f. Let g(i) = 2*i**2. Determine g(p(w)).\nAnswer: 28644274983200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 + 5128437*i**2.\nAnswer: 3*i**2*(i + 6837916)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 1, -0.3, 0.5, -2\/5, -89 in ascending order.\nAnswer: -89, -62, -2\/5, -0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 91*q**2 + 43*q + 131. Calculate n(45).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 324 = -2*x. Let v be ((-9)\/x)\/(10\/(-920118)). Let r = 7664 + v. What is the common denominator of -67\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.86 and -37281135.\nAnswer: -37281139.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**4 + 3*p - 3*p)*(-1 + 1 - 1)*(3 - 2 - 2)*(6 + 15 + 5) to o*p**4 + c*p**2 + z*p + y*p**3 + s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82879, 82926, 82973, 83020, 83067, 83114?\n\"Answer: 47*q + 82832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 36. Let d(j) = -36*j**2 - 5. Let x(b) = -18*b**2 - 2. Let s(u) = 2*d(u) - 5*x(u). Give s(r(f)).\nAnswer: 288*f**4 + 5184*f**2 + 23328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161221565 or 1\/5?\nAnswer: -161221565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 13*b - 11. Determine c(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -128 + 138. Suppose 0 = -l*r + b + b + 10, -2*b = -4*r + 8. What is the third derivative of 31*k**3 - 52*k**2 + 6*k**3 + 91*k**r wrt k?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0 + 0)*(-14 + 14 + 4*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 3) to base 9\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 44*k - 205 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 0. Let u(q) = -q**2 - 6*q - 3. Let h be u(x). Let r(f) = f**3 - 6*f**2 + 5*f + 3. What is the units digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/25704 and 157\/25704.\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 729 - 729.0000063. Round o to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-4) - 17031\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(6 - (-85)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117\/4 in -5, -2\/9, 0.01, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/30 - 11*l**2. Let r(g) be the second derivative of 0*g**2 + 0*g**3 + 0 - 2*g - 1\/4*g**4. Give r(b(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/12 + 73*x**2\/4 - 147*x\/4 + 1853. Factor n(t).\nAnswer: (t - 1)*(t + 147)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888*n + 217 = 895*n. Factor -n*m + 14*m**2 - 5*m**2 - 80 - 19*m - 14*m**2.\nAnswer: -5*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 171. Suppose 0 = -i - 30 + f. Let w be -1*i - 1 - -2. Sort w, -4, 2 in ascending order.\nAnswer: w, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 3 = 0. Let z = f + 5. Suppose 0 = -6*b + z*b + 32. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1714176 rounded to two decimal places?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(11)) + sqrt(44)\/sqrt(4)*5 - (((sqrt(1584) + 1*sqrt(1584))*-2)**2 - sqrt(1584))*1.\nAnswer: -25353 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.8 - 12. Let b = 4.80099 - q. What is b rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23404752 and 1300264?\nAnswer: 23404752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -31, -44, -59, -76, -95?\n\"Answer: -a**2 - 8*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002404 rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006731103 to five decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853*d - 2416*d - 39193 = -3002*d - 3160*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 2219*j**2 + 2209*j**2 - 2*j + j. Let v(x) = -16*x + 5. Let h(f) = -208*f + 64. Let a(g) = -5*h(g) + 64*v(g). Determine y(a(l)).\nAnswer: -2560*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2764*j - 4739 wrt j.\nAnswer: 2764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21493, 22747, 24001, 25255, 26509, 27763?\nAnswer: 29017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-3 - (1 - -2 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 0*q**2 + 0*q**2)*(18 - 18 + 10) + (-3*q + 4*q + q)*(-2*q**2 - 3*q + 3*q).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36)\/sqrt(3))\/(sqrt(294)*-2) + (5 + sqrt(4)\/sqrt(2) - (-4*(-1 + sqrt(2)))**2)*-4.\nAnswer: -922*sqrt(2)\/7 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + 3010?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64927\/6104 - -9\/763. What is the common denominator of x and 71\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171919627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 17*l - 4147. What is v(74)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:31 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045012025 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, -15, -134, -319, -564?\n\"Answer: t**3 - 42*t**2 + 72*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -295 in 5, 2, -41, 19, 1\/8?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose t + 2 = b. Suppose -80 = -t*n + i, n - 3*i - 24 = 21. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.26 - -72.8. What is the closest to 1\/2 in i, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:52 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -63947155.7*-1\nAnswer: 63947155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 99320*n**3 + 2466214918*n**2 - 4932131880*n + 2466016281.\nAnswer: (n - 49659)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 7*l + 17. Let j be x(7). Let w = 21 - j. Suppose -2*o - w = -18. Put -5, 1, o in decreasing order.\nAnswer: o, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 33*b**2 + 8*b - 19. Let m be -4 - (-8 - (5 - 5)). Is r(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.032412km in millimeters?\nAnswer: 7032412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1779 + 2464. What is the highest common factor of 548 and c?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 20*g + 1. Let i = 46 - 66. What is the units digit of l(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6 + 6 - 4*n + 13 + 3*n. Let f be m(10). Let y = -1 + 5. Solve -5*q + y*q = -r - 2, 0 = -4*r - f*q - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -7)\/(2\/4). Differentiate -5*b**a + 3*b**3 - 3*b**3 + 1 - 2 with respect to b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 170, 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 23\/235918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 - -150 - (1 - (2 - (3 + -8))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-18))\/(-5*13\/195)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 45521?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 + 4*150\/1872. Put j, 0, -15 in decreasing order.\nAnswer: j, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) 8 (b) 2\/3 (c) 2\/7 (d) 0.1 (e) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11*x + 20*x + 35 - 11*x - 10. Let b be d(8). Solve b = 3*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 5\/2 (c) -0.2 (d) -3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*o**5 - 2821*o**4 + 2*o**2 + 260613*o wrt o.\nAnswer: 460*o**3 - 33852*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5))**34)**(-5\/8) assuming t is positive.\nAnswer: t**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = 5*r + 36*m - 424, -r + 78 = -3*m. What is the least common multiple of r and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 148?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 15\/((3 + -10 - 694\/(-4))\/21)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*l + 7*f + 232, 3*f - 138 = -2*l. Solve 58*c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 17, 5, -23, -73, -151?\n\"Answer: -o**3 + o**2 + 2*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Let k(s) = 2*s**2 + 3*s. Let j(u) = 5*u**2 + 7*u. Let y(x) = 3*j(x) - 7*k(x). Give t(y(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, 1\/6, 1, -59?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 183.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -5\/4, 33\/8.\nAnswer: -5, -5\/4, 33\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 19*i**3 + i**2 - 2*i + 2. Let x be k(1). Let h = x + 6. Is 1868\/6*117\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g - 23*g - 7 - 5 - 1. Suppose 5*j + 5*p = -40, 5*p + 13 = 4*j - 0*p. What are the prime factors of f(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -42\/17, 5 in decreasing order.\nAnswer: 5, 0.3, 0.2, -42\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 1514*k + 113. Determine b(250).\nAnswer: -3387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/2)\/((-4)\/32). Solve 2*h - 3*w + 19 = 0, 6*w = 2*w + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 84 = y. Let t(s) = s**3 - 2*s + 5*s - 4 - 2*s**3 - 5*s**2. Let j be t(-6). Calculate the greatest common divisor of y and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 10:31 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27161751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 66360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 - 2*q**2 + 11*q**2)*(-32 - 13*q + 32).\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -72, -1, 5 in decreasing order.\nAnswer: 5, -1, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158457 divided by 13?\nAnswer: 12189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**3 + 0*t**3 + 7*t**3)*((2*t - 4 + 4)*(0*t + 3*t + 0*t) - 1 + 1 - 3*t**2).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57523393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 20 = 13*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7454982 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 14. Let o be b(-9). Let j(z) = -z - 2. Let x be j(o). Put x, -5, -1 in decreasing order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -41, -62, -83, -104, -125?\n\"Answer: -21*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.54 + -0.54. Let q = g + -159.6. Round q to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 21. Let o(n) = n + 10. Give -6*i(b) - 13*o(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 76, 67, 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -43*n + 312. Give w(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2)*3\/9. Let b be (-2 - -7)\/(-5 + 6). Solve -4*r - 4*y - 24 = l, -r + b*y + 18 = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/29768 + -1281989\/74747448. Calculate the common denominator of n and -113\/186.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 15. Suppose -x - 19 = -b*x + d, 4*x - 49 = -5*d. List the prime factors of x\/36 - (-53)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-17)\/(-17))\/(11\/1 - 2). Let l = 0.4553 - 0.3553. Which is the fourth smallest value? (a) 1 (b) p (c) -0.1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let u(m) = -5*m**3 - m - 1. Let y be u(z). Suppose 4*r - 2*v = 2*v + 192, 5*v = -y*r + 210. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 22, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2466 + -1851. Let t = -1822 - x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/4 (c) 3 (d) 10 (e) 0.22 (f) -5 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 542858\/122139 + -2\/13571. Let f(h) = h**2 + 5*h - 8. Let u(n) = -2*n + 2. Let c be u(4). What is the common denominator of d and f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -15*y - 616. Suppose -3 - 22 = -5*k. Suppose 3*u + 62 = -k*q - 159, 3*u = -2*q - 83. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 40. Is 34 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.98 + 3. Let k = m - 0.42. Let y(w) = -w**2 - 25*w - 28. Let j be y(-24). Put j, 5, k in ascending order.\nAnswer: j, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19297 - 5*d + 17*d**2 + 5*d - 4*d**2 + 3*d**3.\nAnswer: 3*d**3 + 13*d**2 + 19297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 + 2. Let m(a) be the second derivative of a**4\/12 + 5364*a. Let o be (1 - 1) + -2 + 1. Determine o*v(u) + 2*m(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:30 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (2*sqrt(204)*-5 + sqrt(204)))\/(sqrt(240)\/sqrt(5)) - ((-6*(sqrt(272) + 1 + sqrt(272)) + -2 + -2*sqrt(272))**2 + 2).\nAnswer: -53378 - 891*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 87, 84, 81, 78, 75, 72?\n\"Answer: -3*z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 13. Let g be t(10). Suppose -g = -3*y + 54. Solve -4*r - 4*k + 32 = 0, -6*r + 4*r - 3*k = -y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -10, -28, -52, -82, -118, -160?\n\"Answer: -3*c**2 - 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 148 = -4*k. Let o = -21 + k. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 10 - 16)*((-2*j + 5*j - 4*j)*(-3*j + 5*j - 4*j) - 3*j + 2*j**2 + 3*j - 3*j + 3*j - 3*j**2) to p + d*j + t*j**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10034244 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a. Let m(w) = 22887918*w. Calculate c(m(z)).\nAnswer: -137327508*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-1*sqrt(3) - sqrt(3)))**2 - (sqrt(800)\/sqrt(10))**2.\nAnswer: -315\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-1) - (-4 - -2). Suppose 0 = -4*h + 3*a - v, -5*a = -h - 2 - 2. Let t = -29\/9 + 26\/9. What is the nearest to -1 in h, -1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 4*t + 5*t**2 + 3 + 7 - t**2 - 3 + t**3. Let c(l) be the first derivative of l**3\/3 + l**2\/2 + l - 19. Give 6*c(b) - s(b).\nAnswer: -b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a - -4?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-5)\/sqrt(11))\/((sqrt(72) + sqrt(72)*5)\/sqrt(12)).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(4 - 1)\/(2194\/(-3291))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(136))\/(sqrt(8) + (sqrt(96)*1)\/sqrt(12)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(-6 + 0 - 1)*(-2*g**5 + 2*g**5 - 2*g**5).\nAnswer: -70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -924?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 18 - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3939*r + 84 = -3897*r. Sort r, 0, 5, 57 in decreasing order.\nAnswer: 57, 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216489, -432979, -649469?\nAnswer: -865959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10142244 + 3?\nAnswer: -10142241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 24794.\nAnswer: 99176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 400, 649, 998?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 3*l**2 + 10*l - 1. Let u(j) = j**3 + 2*j**2 + 5*j. Let m(f) = -3*t(f) + 7*u(f). Suppose -8 = -2*s - 0*s. Suppose 0*c - s = c. Give m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 28*z = 900. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138628 - -203987. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 6*b - 8 + 8 - 5*b**2 + b**3. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**3 - 84*r**2 - 29*r - 339. What is t(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263042 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 - 21*j**2\/2 + 32*j. Let o be y(5). Solve -5*h + 3*z + 7 = -3, o*h - z = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335154 a multiple of 673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = -0*x - 5*x. Suppose -5*o - 104 - x = 0. Let u = -40 - o. Calculate the lowest common multiple of 54 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3658291, -3658293, -3658295?\nAnswer: -3658297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1220502419 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.047012?\nAnswer: -0.752192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -935 - 145000?\nAnswer: -145935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (64335\/(-6))\/(-3 + 56\/32) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(12*z - 19*z - 43*z) + (-z - 2*z + 2*z)*(-5 + 5 - 2) - 3*z - 3*z + z + 2 - 3*z - 2 in the form m + f*z and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -162*i + 30. What are the prime factors of c(-7)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1127 - -0.2127. Let y = 1 + -0.4. Let x = y - 1.1. What is the closest to 5 in v, 0, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 + 8 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/7 and (96\/(-33))\/(-4 - -5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3256239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -288, -668, -1208?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8018713699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 + 2*n - 15. Determine d(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 9.1. Let f = 16 - g. Suppose 0 = 8*m - 1 + 1. Is f less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151072832 divided by 2604704?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 28. Calculate the common denominator of -11\/18 and -1 - (364\/256)\/v.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236538 and 117756?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**3 + 35200*q**2 + 175905*q + 211050 = 0.\nAnswer: -7035, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1829)\/(-2301) - (-6)\/(-13). Factor 2\/3*z**2 - 1\/3*z**4 - r + 0*z**3 + 0*z.\nAnswer: -(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57821550 rounded to the nearest ten thousand?\nAnswer: 57820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 14*f**2 + 13*f + 1. Let d be 1\/(2 - (-81)\/(-39)). Let z be q(d). Which is the closest to -1\/2? (a) 0 (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshshstsht. What is prob of picking 3 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -151 + (-7 - (-6 + 3)). Let z = s + 239. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17 + 2*w - 4 + 4*w**2 + 5*w**2 + 24. Let n be u(-1). Is 22 a factor of (6\/(-3))\/(n\/(-245))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.7 and -13057511408991.\nAnswer: -13057511408987.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 431787 divided by -4\nAnswer: -431787\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = 30*u - 31*u, -3*u - 5*k + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x. Suppose 14 = i + 3*l, -l = i - 2*l - 18. Let d(h) = -6*h - 17. Let f(p) = 2*p + 6. Let k(b) = i*f(b) + 6*d(b). Calculate q(k(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**4\/24 - 7*a**3\/6 - 5*a**2. Let p be w(-6). Sort 2, -4, p in decreasing order.\nAnswer: 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 4*z**2 - 3*z**2 + (0 + 3 - 5)*(-1 + 1 - z**2) + (-106*z - 137*z - 106*z)*(-z - 3*z + 2*z).\nAnswer: 693*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 74, 110, 144, 176, 206, 234?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665708403 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 12*q + 9. Give r(9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53695217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -77, -77, -75, -71?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2325 and 2945?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 16 + 22 + 3.\nAnswer: -h + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 5 - 5*o - 5*o.\nAnswer: 4*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/38250 and 137\/3366.\nAnswer: 420750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q**2 + 1. Let s(y) be the first derivative of 2*y**2 + 492. What is s(k(f))?\nAnswer: -48*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iiiimmimikitimkii.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1674\/300)\/31*7\/21*-2?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2033103123312?\nAnswer: -2033103123310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*v + 10, 2*r = -3*r - 5*v + 10. Let w(j) = -j**3 + j**2 - 7*j + 12. Let b be w(r). Let m(z) = -z**3 - 7*z**2 - 7*z - 4. Determine m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 + 3) - (-3465)\/135. Suppose -25*y - 351 = -u*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123284313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)**(-50)\/(s*s\/(s**(1\/3)\/s)*s)**(-10))\/(s**(2\/9)\/(s*s**(-4)*s))**10 assuming s is positive.\nAnswer: s**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 11*r + 12. Let w be p(11). Let f(g) = -g**3 + 25*g**2 + 182*g + 126. Let l be f(31). Solve l*u = 4 - w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and 195\/(-6)*(-2)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186266275 at most as big as -186266273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v + 6*v - 4*v**2 - 13*v. Let x(h) = 6*h. Determine q(x(o)).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12336\/13 or 948?\nAnswer: 12336\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/22145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00413503708 to 6 dps.\nAnswer: -0.004135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 211, 182, 129, 46?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12715\/22 - 578. Which is the third biggest value? (a) t (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3012 + 10?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1514\/7, -74, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-270))\/(128\/(-160)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046873*32.\nAnswer: 1.499936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/2333?\nAnswer: 4\/2333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3349523\nAnswer: -2\/3349523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:51 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 32. Let q(s) = -31*s + 18. Let n(r) = -16*r + 9. Let t(g) = 5*n(g) - 3*q(g). Does 29 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {r: 2, v: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894 is divided by 731.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 - 15*r. Let f(j) = -4*j**2. Determine c(f(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3\/5, 2\/27, 9801, 5, 2, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-13) - (-32)\/1560.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1036)\/(-74) - 285\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4532361*b**2*l*x - 1762*b**2*l + 2*b**2*x - 2*b**2 - b*l - 201*b - 2 wrt x.\nAnswer: -4532361*b**2*l + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 25 = -3*f, 2*x - 5*f + 2 = -5. Let q(i) = 459 - 442 + 2*i - x*i. What is the remainder when q(-15) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times -23\nAnswer: 5.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 59?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + -0.078?\nAnswer: -89.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6636.9324 + 6637. What is the third smallest value in h, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f + 1 + 9*f**2 + f + 2*f**2 + 5*f**2.\nAnswer: (4*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*c, 0 = 4*g + 6*c - 2*c + 12. Which is smaller: g or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 11 = -8*b + 5*d, 4*b = 3*d - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*a - 51. Suppose 0 = -5*s + 10, 11 = -4*y - 2*s - a. Let z be (-2)\/y + 649\/33. Solve -4*f + 10 = -2*o, 3*f - z = -5*o + 4*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 2. Calculate the remainder when i is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 7, n: 1, q: 5}. Give prob of sequence nq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, 1 x, and 1 c when four letters picked without replacement from xocmxaxxxmxaoxxxxxa.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 172. Suppose 16*t - 137 + o = 0. Let c = 50 + -26. What is the least common multiple of t and c?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -5 (c) -9151 (d) -0.1 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -81. Calculate the remainder when 141 is divided by ((2 - w) + -7)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -25232\nAnswer: -67\/25232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 8*c - 12. Let a be k(-2). Solve -n - 2*n - 4*s = -a, 12 = 3*n - 4*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241873\/837408 + -49\/5856. Let t = 3\/26 + n. Which is the nearest to 0? (a) 1\/5 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4736833531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-55)\/3. Let a = 9 + g. Is (-714)\/a - (-2)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-244)\/(-36) + (-8)\/(-36). Suppose 5*l + 3 = -i. Is (97\/2)\/((-1)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a + 20. Let w be o(-6). Suppose 7*r = w - 26. What is the smallest common multiple of 16 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + r + 30. Let f be o(9). Let n = f + 187. Calculate the greatest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -385 + 392. Solve -4*o + d*o + 27 = -3*k, -4*o = k + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. What are the prime factors of 0 + -3 + r + 15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596197404 divided by -40942.\nAnswer: 14562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Solve 2*f = -3*u + 7, h*u = -3*f - 2*f + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 2470480*r**3 - 762913869744*r**2 - 3051625833280*r - 3051615951392.\nAnswer: -2*(r + 2)**2*(r + 617618)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*b + 16 + 4, -4 = -c + 3*b. Let s = 37 - 25. What is the remainder when (s\/10)\/((-6)\/(-75)) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j**3 - 98*j**2 + 5*j + 35. Let n be s(-7). Solve 4*x - v - 16 = n, 22*v = -3*x + 19*v + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-332)\/56 + 6)*-2*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 1, a: 4, o: 4, r: 2, p: 1}. Give prob of picking 2 l and 1 w.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - 30. Let p = -50.401 + 9.371. Let m = p - t. Is m equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 21 - (4 - -3) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504979120 is divided by 1681?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 - 120*b + 7. Let o(x) = x**2 + 1. Let n(p) = a(p) + o(p). Let r be n(-24). Solve 0 = 5*h - r + 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - r. Suppose -78 = -3*n + 42*n. Let z(u) = -6*u**3 - 3*u**2 + 2*u. Calculate n*p(c) - z(c).\nAnswer: 4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4411, 4413, 4413, 4411, 4407, 4401?\n\"Answer: -p**2 + 5*p + 4407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 2. Let w(q) = 367*q - 1831. Let n be w(5). Let p(k) = -2*k - 2. Calculate n*p(g) + 3*y(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -42204.521787.\nAnswer: -42204.621787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 28. What is s(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.2, -48.\nAnswer: -48, -17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 10*w**2 - 29)*(-2 - 2 + 1)*(-2 + 9 - 2 - 2*w) + 4*w - 4*w + w**3 + (-6 + 4 + 4)*(1 - 1 + w**3) - w**3 - 2*w**2 + 2*w**2 + 2*w**3 - 2*w**3 - w**3.\nAnswer: 61*w**3 - 150*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w + 1. Let x(z) = 6*z + 253. Let g be x(-42). Let q(p) = 3. What is g*q(f) - 3*h(f)?\nAnswer: -3*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**11)**(-33))**(-26))**45)**(1\/19) assuming p is positive.\nAnswer: p**(424710\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -12. Let t be (a - (-15)\/9)\/((-42)\/(-7)). What is the nearest to 0 in -0.3, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3561060\/406960 - 9) + 3\/12. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -667980 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -1.4, -1 in decreasing order.\nAnswer: 8, 4, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 7*q + 6. Is 84 + 2\/q*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*o = -12, 8 = 7*o - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 520208637 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**6 - 7*h**4 + 24*h**3 + 3538*h**2 - 2*h - 1 wrt h.\nAnswer: 960*h**3 - 168*h + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 221\/(-91) - 1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953380295.\nAnswer: 5, 7, 37, 79, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1754 is divided by (-3)\/4 + (-9731)\/(-148)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 8:46 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301011084 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-99)\/(-66)*28\/108717. Is g smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times 0.097\nAnswer: 0.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/4 - 173*y\/2 + 1029\/4 = 0. What is y?\nAnswer: 3, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -6. Let c = -179.22 + 184.22. What is the third biggest value in c, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b930 (base 16) to base 3.\nAnswer: -2102000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124680 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 20.\nAnswer: -8, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 984983, 1969964, 2954945?\n\"Answer: 984981*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g*m**3 + 24*g*m - g + 464*m**3 + 4*m wrt g.\nAnswer: 4*m**3 + 24*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/110)\/(9*10\/225)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u*u*u**3*u*(((u*u**(-2\/3)*u)\/u)\/u*u)**43 assuming u is positive.\nAnswer: u**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from yyzpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 62.\nAnswer: -5, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.12.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 25 - 209. Let u be (-2)\/1 - -3*2. What is the third biggest value in r, 2\/5, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 2*j**3\/3 + j. Let x(s) = -s**2. Calculate m(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(63\/(-105))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 11.64 (b) -54 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.126.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - (-435)\/10. Let x = -32 + l. Calculate the greatest common factor of x and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*x = 64, 11*x = 2*v + 14*x - 143. What is the remainder when 2051 is divided by v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.269*0.11386\nAnswer: 0.03062834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(2*r + r**2 - 2*r)*(-19 + 19 - 3*r)*(4*r - 6*r - 3*r).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212121022 - -11?\nAnswer: -212121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 2. Let m be 93\/21 + (-9)\/21. Let p(q) = -10*q + 7. Give m*p(i) + 14*k(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*p - 3 - 12, 4*p - 27 = -5*q. Suppose -q*r + 2*r = -3*c - 3, -19 = -r - 5*c. Suppose -r = 2*d + 1. Which is smaller: d or 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -4*r - 21. Let n(i) = 3*i**2 - 10*i + 10. What are the prime factors of n(r)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o + 5. Let q be d(5). Let b(s) be the second derivative of -s**3\/6 + 3*s**2 - 19*s. Determine b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 504886 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-208)\/((-32240)\/465))\/(99\/48)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*h - k, -5*h - 75 = -0*h + 5*k. Let b = 24 + h. What are the prime factors of ((-22)\/(-2))\/(b\/54)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9448*x + 1170 = -9403*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 42 - (-5 + -4 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2.56?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 3. Suppose 2*o = f - 7. Suppose -u = 4*u - 4*k - 66, 5*u + 5*k = 30. Solve 2*z + 23 = -5*s, -6*z = -z + o*s + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 - 4*g**4 + 3*g**4 - g**4 + (4*g - 3*g + 0*g)*(g**3 + g**3 - 3*g**3) + 2*g**4 - 4*g**4 + g**4.\nAnswer: -4*g**4 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15517268 and 3952?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 68, -2\/69, -32?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o**3 + 6*o**3 + 3*o + 6 - 13)*(0*o - 4*o - 4*o) to r*o**3 + k + w*o**4 + p*o + m*o**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37211 = 5*d - 7*d - p, 3*d - 3*p - 55794 = 0. Let s = 40708 - d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 14*m - 20. Let c(b) = -9*b - 5*b - m*b**2 + 14*b. Let d(g) = -2*g + 2. Let i(k) = -3*k + 5. Let l(h) = 5*d(h) - 2*i(h). Calculate c(l(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 21*m**2 + 16853*m - 285339. Calculate p(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssccc. What is prob of sequence ccc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8700179 divided by -1.\nAnswer: 8700179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 = -25*d + 182 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b + 14 = 2*y, -2*y - b = 1. Let p be 137\/(-9) - y\/(-9). Is 5 a factor of 3 + 4 + (-2 - p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - -146. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4, 245, 5, -1 in increasing order.\nAnswer: -21, -4, -1, 5, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284 or -3?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/2 - 2003*t**4\/2 - 16126*t**3 - 52470*t**2 - 48456*t = 0. What is t?\nAnswer: -12, -2, 0, 2019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -61. Suppose 162 = 5*s - 3*v, 0 = -0*s + s + 3*v - r. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnnmn. What is prob of sequence nn?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22785 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467*q - 232 = 351*q. Let h be 36\/63*(-7)\/(-6). Find s such that 2\/3*s + h*s**q + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 34515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, p: 1, k: 1, r: 2, s: 4}. Give prob of picking 1 k, 2 j, and 1 p.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 12*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16)*(-4)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138754 is divided by 491.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*v + 106*v = -102*v + 80 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -2 - (55\/(-11) + 3). Calculate the highest common factor of 112 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109\/((-1635)\/(-6)))\/(44\/5).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(1\/4*-3). Let s = l - -9. What is the least common multiple of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 26\/8. Suppose g + u - 4 = 0. Suppose 5*j - 2*j = 9. Put -2, j, g in ascending order.\nAnswer: -2, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14557*n - 216 = 14521*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 - 1218 = -250*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955840.\nAnswer: 2, 5, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q + 1. Let w(z) = z**3 + 19. Let c be w(0). Suppose r = 4*t - c + 2, 5*r = 3*t - 34. Suppose 0 = -5*b + t*l - 4, 3*l = 4*b - 3*b + 8. Give x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from ucuhqquhuuqpuqhjhp.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y + 3*y**2 + 68*y - 103 - 4*y**2.\nAnswer: -y**2 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*v + 4 + 21*v**2 - 74*v**2 + 67*v - 4 in the form z + y*v + b*v**2 and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + 24412.\nAnswer: 24411.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -81*u + 70. Solve 0 = 6*s - u*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r + 1. Let i(v) = -10*v**2 + 6*v - 6. Let z = -33 - -38. Let f(j) = z*i(j) + 30*p(j). Let d(s) = 2*s**2. Calculate f(d(g)).\nAnswer: -80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/316831 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11351 + 0.4.\nAnswer: 11351.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2da8d3 (base 15) to base 11\nAnswer: -1281416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -622 in 1, 0.2, 4, -5, -14\/5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(g + 2 - 2) - 658 - 25*g + 658.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**3 - 91*w**2 + 7*w - 11. Let y(t) = 6*t**3 - 45*t**2 + 3*t - 5. Determine 4*s(n) - 9*y(n).\nAnswer: -2*n**3 + 41*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15267)\/28*22\/84. Let n = g - -976\/7. Calculate the common denominator of 91\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150782700 to the nearest ten thousand.\nAnswer: -150780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*u + 2978 + 948, -n - u + 985 = 0. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5844.8958 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (((sqrt(70)*-1)\/sqrt(10))**2 - sqrt(7)) - ((-2*sqrt(350))\/sqrt(2))**2).\nAnswer: 2*sqrt(7) + 1394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 2. Let u be h(8). Let m = -18 + u. Is -7 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.1499.\nAnswer: 0.07495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.21 - 22.2324. What is o rounded to two decimal places?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1674*q - 20*q**3 - 1674*q + (q - q + 2*q)*(-10*q**2 + 26*q**2 + 7*q**2).\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 - 460*m - 3002. Give x(57).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3287 divide 710685557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2848 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 12 = 4*b, -s + 2*b - 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 + 3*d**2)*(368*d**2 + 385*d**2 - 3*d**3 - 741*d**2).\nAnswer: -6*d**5 + 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 16*v - 29*v + 9*v - 6*v.\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 17*z**2 + 23*z + 13. Give h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*b + 342 = -72*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from oqnn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*k - 28, -4*k + 9*k + i = 79. Calculate the highest common factor of k and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34361805.9999964 - -34361823. Let o = 17 - z. What is o rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.4. Let i = -1.01 + 0.01. Let o = -88 - -438\/5. What is the closest to i in o, 5, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1\/3 (c) -7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -42*q**2 - 939*q - 1007. Calculate f(-21).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 4*d**2 - 5*d - 5. Suppose 3*v + 21 = 2*v. Let z be (-8)\/32 + v\/(-4). Determine j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/17 + -60\/221. Let y = -0.3 + -0.3. What is the biggest value in b, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3248089333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = o - 20, -4*f = 1918*o - 1914*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 9 + 18*l + 5)*(-8 + 6 + 5) to the form k*l + s and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5719676.\nAnswer: 2, 761, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159063*k**2*l**3 - k**2*l + 5*l**4 - 546303*l**2 wrt l.\nAnswer: -954378*k**2 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-16) - (5 + 1026269955\/18). Round s to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/11)*u**(-9))\/(u**(-1\/4))**(-42) assuming u is positive.\nAnswer: u**(-423\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 6. Let u(k) = 11*k + 16. Let p be u(-2). Let c(y) = 4*y + 13. Let d(w) = p*c(w) - 13*q(w). Let g(x) = -x**2. Calculate d(g(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*l - 4*k - 25, 4*l - 10 = 2*k. Does l = -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97160124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -58115034.\nAnswer: 2\/29057517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*t - 5*a, -1509*t - 11 = -1510*t - 3*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225095719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15164, -15166, -15168?\n\"Answer: -2*q - 15162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 36*u**2 - 9063*u + 6800. What is p(251)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 - 2*z - 2. Let s(y) = 5*y**2 - y - 1. Let h(x) = -4*m(x) + 5*s(x). Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 5*l**4\/12 + l**3\/6 - l**2. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/567, 3, -10.58 in descending order.\nAnswer: 3, -1\/567, -10.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.33062?\nAnswer: -2.31434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, h: 5, e: 1, f: 1}. What is prob of sequence hftt?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4, c: 2, w: 4, a: 10}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/360 + f**5\/40 - f**4\/6 - 3*f. Let m(j) be the third derivative of n(j). List the prime factors of m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2 - 230*i - 324. Calculate the remainder when 3816 is divided by f(35).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*v**4 - 5*f + 46*v**5 + 3*v**2 - v wrt v.\nAnswer: 24*f*v + 2760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.2, -25, 71\/86 in descending order.\nAnswer: 10, 71\/86, 0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22199 = 47*o - 25506. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/11 (b) 1 (c) 0.212 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 26*u**2 - 1.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 = 5*s, -2*s + 8 = -4*l - 2. Let k be ((-6)\/12 + s)*26. Calculate the highest common divisor of k and 650.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5555, -22253, -50083, -89039, -139115, -200305, -272603, -356003?\nAnswer: -450499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 - 4*r**2 + 31*r**2 in the form y*r**2 + o*r + i and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1054)\/186 + 2*28\/8\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -4*g, 4*y = 2*g + 92. Calculate the highest common divisor of 33 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2207844*u + 368. Let c be q(-28). Round c to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95954 or 95953?\nAnswer: 95953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:38 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890 = 81*h - 325 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1318 - -1318.4. Let p = -0.7 + 1. Let m = -6 + 11. What is the smallest value in n, m, -4\/3, p?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -3 + 9 + (5 - 1) + -4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 16 = 3*m. What is the remainder when (m\/(-10))\/((-1)\/25) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -0.16, -0.2, -1\/2 in increasing order.\nAnswer: -15, -1, -1\/2, -0.2, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 + 1 + 2 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 25. Suppose -2*b + 1 + 3 = a. Solve -d - 20 = b*m + 3*d, 0 = 2*m + d + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 1. Let p(q) = -q**2 - 1. Let u(a) = -4*p(a) - 6*y(a). Differentiate u(z) with respect to z.\nAnswer: -4*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58301.\nAnswer: 173, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3436?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13407084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*t + 5)*(-2 + 2 - 3*t**3) - 21*t**4 + 4*t**3 - 4*t**3 + (2*t - 5*t + 5*t)*(t**3 + 2*t**3 - t**3).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - 24*s**2 + 11*s + 82. What is the remainder when x(-9) is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - i + 39*i**2 - 6*i - 3*i.\nAnswer: 39*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.2 (b) -24\/5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101527918669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 - 2*m + 2. Calculate q(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -5. Let f = 18 - h. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(260))\/sqrt(5) - (-4*(sqrt(65)*-1 - sqrt(65))\/sqrt(5))**2.\nAnswer: -832 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 14 = x, -12 = 3*x - 5*o - 19 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 57. Let a be o(-5). Sort 3, -1, -15, -2, a in increasing order.\nAnswer: -15, -2, -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1253, -2446, -3639?\n\"Answer: -1193*h - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 24*m**2 + 114*m + 265. Determine b(7).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165944440.9999882 - 165944421. Let k = 233 + -253. Let u = k + c. Round u to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 5*u - 487 = 0, 5*n + 3*u - 833 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 246360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/10 + 2*k**4\/3 + 28*k**3\/3 + 32*k**2 + 181*k. Factor g(l).\nAnswer: -2*(l - 8)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2667 (base 8) to base 16.\nAnswer: -5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 80511*j + 80511*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 0, 2\/7, 3\/4, -2 in ascending order.\nAnswer: -2, 0, 1\/13, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754808345462 + -1.\nAnswer: -754808345463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - (3 + 7)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Suppose -2*d = d + 21. Let w(u) = u**2. Let n(r) = -r**2. Let b(i) = d*n(i) - 6*w(i). Calculate o(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 + -238. Let x(o) = 2*o**2 - o + 3. Give x(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(162) + 2*sqrt(162) - (6*sqrt(4)\/sqrt(2) + (sqrt(2)*1 + sqrt(2) + sqrt(2))*3))*5.\nAnswer: -25 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5581573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 10. Factor 6*x + 4*x**4 + 0*x**5 + 4*x**k - 5*x + x**5 + 6*x**3.\nAnswer: x*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 37 - 37 - 55*x. What are the prime factors of p(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16786 - -16869. Solve 3*t - o*m + 78*m - 13 = 0, 3*m + 11 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -30474*p + 60942*p - 30467*p. Let v(l) = -31419*l. What is v(b(u))?\nAnswer: -31419*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g**2 + 5*g - 2. Let w(t) = -t**3 - 13*t**2 - 5*t + 16. Let v be w(-9). Let r = v - -259. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51108.78974 rounded to the nearest 100?\nAnswer: -51100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 - 2*q + 2. Suppose 26*u = t + 25*u - 714, -2*t + 4*u = -1436. Calculate the remainder when t is divided by l(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 36. Let p be (-3 - -1) + 160\/70. What is the nearest to p in 5, -8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8916*f**2*j**2*n**2 - 2*f**2*j**2*n - 25*f**2*j**2 + 3*f**2*j - f**2 + 5*j**2*n**2 wrt n.\nAnswer: 17832*f**2*j**2 + 10*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2355 - 652 + 13922 = -513*o - 10538 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 + 6. Let f(u) = -2*u**2. Determine y(f(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fe + -5?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19409 and -52907027.158.\nAnswer: -52907026.96391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4637.765m to millimeters.\nAnswer: 4637765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - 4*(sqrt(102)*2 + sqrt(102))) - sqrt(102))*-5*-2)\/(6*(1*sqrt(96) + sqrt(96) + sqrt(96))*-3).\nAnswer: -55*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/99)\/((-7 + 869\/121)*-1). Let 1\/6*x**3 + 0 - 11\/3*x + b*x**2 = 0. What is x?\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1611263 (base 7) to base 8.\nAnswer: 660302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(14))\/sqrt(7) + -2.\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/((-250)\/(-8))*5\/58. Let n be (-8)\/28 + 16\/154. What is the closest to y in 0.1, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r + 10 - 160 = 0. Let q(w) = -r*w - 7*w - 7*w + 8*w + 2 + 0. Let j(c) = 5*c. Determine q(j(u)).\nAnswer: -60*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(1575) + -1 + (-1*sqrt(28)\/sqrt(4) - (4 + -1 + sqrt(7))))**2*-1.\nAnswer: -1184 + 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 + q + 6. Give y(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5*d + 2. Let z be g(3). Let n be 4\/18 - (-7)\/(126\/572). Let r be (n\/70 - 36\/60)*2. What is the nearest to r in 0, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2, -0.2, -351719.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 4, w: 1, g: 1}. What is prob of picking 1 w and 3 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 121. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 47*i + 52. What is b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 202223.76 months?\nAnswer: 1685.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tht when three letters picked without replacement from hbbthtkxtbbbb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/120 - r**5\/10 + r**4\/6 + 5*r**3\/6 - r**2. Let d(k) = 2*k + 43. Let y be d(-21). Let p be 2*(y\/4)\/(4\/40). Give g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:43 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 898539 (b) -4 (c) 14 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51123 - 51105.2877. Let n = 0.364 + -18.064. Let z = n + c. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w - 9. Let k be j(-6). Suppose -k*c = c + 28. Let a(f) = -f**2 - 11*f - 6. Is a(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7701*k**2 - 20835*k**2 + 7588*k**2 + 6595*k**2.\nAnswer: 1049*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12059, -12094, -12143, -12212, -12307, -12434, -12599?\n\"Answer: -m**3 - m**2 - 25*m - 12032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11316*y**3 - y**2 + 69644*y?\nAnswer: 67896*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -246181, -492362, -738543, -984724?\n\"Answer: -246181*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d**3 + 0*d - 9*d**2 + 0*d**5 - 1\/6*d**4 - 3\/40*d**6 + 0. Find the second derivative of j(s) wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 125, 1, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1 (c) 10 (d) 5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0548769057 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10110111111111001 (base 2) to base 6\nAnswer: 2004041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 10*u**2 - 11*u - 13. Let d be s(-9). Suppose 0 = -0*c - d*c. Let m be ((-120)\/363 - 4\/(-12))*(-66 + 72). Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/2 - 8*z**3\/3 + 12*z**2 + 723. Find x such that l(x) = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/49420 and -67\/70.\nAnswer: 49420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, 1 q, and 1 z when four letters picked without replacement from zzvlqqklt.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -10 + (7 + -10 - 0) + (-4 - -29).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 1\/4, -26.5608?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -48, -50, -52?\n\"Answer: -2*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41.5329 decades?\nAnswer: 4.15329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 34 = 6*y. Suppose 0 = 5*w - 204 + 59. Calculate the common denominator of -119\/10 and 4 - 2 - w\/y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5673084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437912783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -240*p - 30. Let d(y) = 80*y + 10. Let x(o) = -14*d(o) - 5*s(o). Let g be x(5). Let b = g - 228. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 35*c - 428 = 15*c + 2332 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -610 - -1207. Let r = 973 - s. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18*2*(-2)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, -5\/3, -1, -491?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*t + 5*t + 4*t - 21*t - 2 + t + 2 + (3 - 1 - 3)*(2*t + 1 - 1) - 2*t - 2*t + 3*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2. Let t(l) = 45204*l**2 - 2*l. What is t(u(b))?\nAnswer: 1627344*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*i**3 + 0*i**3 + 3 + i)*(1 - 3 + 1).\nAnswer: -3*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -164313.359 to the nearest 1000.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.5 - -7. Let f be 8*(-4)\/(-32) + 0. Let g be 2\/5 - 34\/60. Which is the second smallest value? (a) g (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away -10.86?\nAnswer: -21.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*g - 57*g = 49*g + 99 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*r + 580*r = 31520. What is the highest common divisor of 3349 and r?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*c + 35035 - 33631 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3\/(-3) + 17. Solve -9 = 5*g + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eannnanhn. Give prob of picking 1 e, 1 h, and 1 n.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 195*k**2 + 1114*k + 27. Is v(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59.677 in -5, -0.062, -1?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041 + -5204\/5. Sort 0, 3.5, 1\/2, z in decreasing order.\nAnswer: 3.5, 1\/2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 5. Let c(y) = -1. Let g(m) = 4*c(m) + l(m). Let d be g(-4). Let v = 13 + d. Solve 0 = -h - o + 6*o + v, 3*h - 25 = 2*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(208)*4 + sqrt(143)\/(sqrt(44)\/sqrt(4)) + 4)**2.\nAnswer: -248*sqrt(13) + 12509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g - 2. Let u be c(6). Suppose 0 = -2*m + u*i - i + 1, 3 = -3*i. Let z be -4*(37\/(-18) + 2). Is z less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 - 2 + 1 + 10)*(16 - 10 - 19).\nAnswer: -26*o**5 - 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 12*p - 13*p + 7, -7 = -3*p + 5*b. Let x(l) = -l**3 + 2*l**2 + 12*l - 13. Calculate x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - w = -240, 0*u = -3*u - 4*w + 720. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 14) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.054 (b) 2\/11 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.46 + 0.54. Let c = -110 + 146.8. Let a = m - c. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 16977 = -16156. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46810201, 93620403, 140430605?\n\"Answer: 46810202*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/6643 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.19399l in millilitres?\nAnswer: 29193.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 36*u**2 + 154*u + 199. What is q(40)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 28*g + 61. What is w(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -10\/19, 3\/7, -2, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.15887 rounded to one dp?\nAnswer: 373.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005331478 rounded to five decimal places?\nAnswer: -0.00533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/17 - 1812*a\/17 - 410418\/17.\nAnswer: -2*(a + 453)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*k = -1661, 2*k + 567 = 4*l - 3*l. Is -4 + (3 - -1) + l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/(-11) - 9*(-4)\/12. What is the fourth smallest value in -4.4, v, 0.1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35578*z**4 - 15022*z - 2?\nAnswer: -426936*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 13977647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 0*m + 0*m + 3*m**2 - 4*m**2. Let k be 0 + 16 - (-2)\/(-1). Let j(b) = -k + 4*b**2 + 14. Determine j(x(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10380 to the nearest 100.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5669 - -8608. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 6*x + 2*n - 5, n = -3*x - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12 - 5*l - 14*l - 9 + 1. Let m be y(-2). Is (-4)\/3*m\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*a = -685*a + 281*a + 828 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-1)\/(-3))\/((-4)\/(-3)). Suppose 5*b = -4*q - 24, -q - 2*b - 8 = 1. What is the smallest value in f, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 303 (b) -2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + c**2 + 22.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60864, -243484, -547860, -973992?\nAnswer: -1521880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 64 = f. Let r = f - -18. Find s, given that -s**r - s**4 - 7*s - 2*s**3 + 7*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18 and -67\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -82.94. Which is the fourth smallest value? (a) -1\/2 (b) 1 (c) k (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18506368 divided by -56768.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*s - 372*s + 130*s = -114*s - 532 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 9918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - (0 + -7 + (13 - 12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = -3*m, -4*m - m = -4*a - 21. What is the remainder when 31 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12251 - -36784\/3. Let g(o) be the first derivative of 8\/5*o**5 + 0*o**4 + 20 + 0*o - l*o**3 + 0*o**2. What is the third derivative of g(u) wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.378 - -0.678. Which is the third biggest value? (a) w (b) 7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -88. Suppose -5*o - 5*q = -90, l*o - 34 = 5*q - 5. Suppose 0 = -4*j + 3*h + 29, j + 3*j + h - o = 0. Sort -38, j, -5 in increasing order.\nAnswer: -38, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let w(h) = 69*h**2 + 74*h**2 - 374 + 71*h**2 - 213*h**2. Determine x(w(k)).\nAnswer: -2*k**2 + 748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*m - 829*m + 36408 + 15742 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 11*f + 8. Determine y(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 + 1\/5*s**5 + 4\/21*s**7 - 3*s - 2*s**3 + s**2 - 3\/5*s**6 + 4\/3*s**4. Solve k(l) = 0 for l.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -599, -1734, -3397, -5582, -8283, -11494, -15209?\n\"Answer: g**3 - 273*g**2 + 211*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(2*g + 3*g - 4*g) + (-g + g - 2*g)*(-6 + 2 + 2) + (0 + 1 - 2)*(-2*g - 5*g - g)*(-19 + 17 - 14) as z*g + h and give z.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 220511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = -747*r + 737*r. Which is the third biggest value? (a) -3 (b) 1\/4 (c) r (d) 0.4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538 divided by 2?\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1070728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 299910 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(168)\/sqrt(7))\/sqrt(4))\/sqrt(3) - sqrt(22)\/(sqrt(88)\/sqrt(8)*6)).\nAnswer: 25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 4. Let n = -3.42 + 280.42. Let o = 277.2 - n. Which is the closest to o? (a) 2 (b) -3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49249051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s + 0*s**2 - 2 - 10*s + 5 + 2*s**2 to the form a*s**2 + u + r*s and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.962 - -117.538. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 14*t + 16. Let j be i(-1). Let x(g) = 3*g - 2*g - 18*g**2 + 31*g**2 - 11*g**2 - g**3. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*w**4 - 9176*w**2 + 372*w + 4850 wrt w.\nAnswer: 540*w**2 - 18352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, 595\/8, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 3*q**2 + 3*q + 1. Let w(p) = -p**3 + 7*p**2 - 14*p + 4. Let c be w(4). Let r be (-378)\/(-12)*c\/3. Let z be 2\/7 - (2 + (-54)\/r). What is d(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 97.19995 tonnes?\nAnswer: 97199950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) 543157\/6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - 6. Let o be 39\/(-105) + 5\/i. Sort o, 2\/5, -2 in descending order.\nAnswer: 2\/5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*a + 1802 = 0, -q - 2*a = -0*a - 602. Let o = q + -291. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4234626 and 1188.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 306019.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1679690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38112, 76853, 115592, 154329, 193064, 231797, 270528?\n\"Answer: -b**2 + 38744*b - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 6 + 0 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -8*a + 42, 3*a - 451 = -4*h - 406 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:38 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - 2*u**3 + 7*u**2\/2 + 16*u + 2. What is the remainder when r(-7) is divided by (-3)\/2*(-2 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 529*w - 6928 - 24037 - 36747 for w.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/60 + 19*u**3\/15 + 361*u**2\/10 - 120*u. Find h such that b(h) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 972306 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 2, v: 3}. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36926046 is divided by 9231507.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5 = -4*u + 1, 4*u - q = 1. Let z = -0.46 - 0.2. Let c = z - -0.36. Is c bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvikk. What is prob of sequence iv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-596))\/((-133)\/(-76))\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -2933.821.\nAnswer: -29.33821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 20, -5, -52, -127?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -39 + -8 + -5 - -89 - (-10 + 4)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -2 + 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19093 - -6682571.3?\nAnswer: 6663478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -737431 and 0.1.\nAnswer: -73743.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {k: 1, d: 4, r: 2, p: 1, h: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 17.843. Let o = -3.417 - x. Let w = o + 0.46. What is w rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -160, 254, -5, -6 in increasing order.\nAnswer: -160, -6, -5, 0, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/90516 and 30\/82973.\nAnswer: 995676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 + 103*x\/5 - 387\/2.\nAnswer: (x - 9)*(x + 215)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393 and 293575716?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w - 70. Let a(f) = -1. What is -140*a(z) + 2*k(z)?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-2 + 0 - 5\/5). Suppose 0 = a*u - 0*u - 30. Let t be ((-40)\/(-15))\/(2\/12). Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1935312668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) 0.3 (b) 0.03628 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 73. Let l be w(0). Suppose 0 = y - 3*a + 11 + 9, 3*a = -2*y - 58. Let q = y - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-3)\/15*2). Let i = k + -5. Solve p - 3*p + j + 3 = i, 5*p - 12 = 4*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igie when four letters picked without replacement from {g: 3, e: 1, l: 7, i: 5}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 3*o + y, 1037*o + 4*y + 34 - 9 = -1039*o + 2077*o for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19432386 is divided by 322.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6358 - 3289. What are the prime factors of b?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449 + -461. Which is smaller: -87\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 149*j - 295. Let m be g(2). Let d = -7 - -10. What is the third derivative of 28*l**2 + 2*l**3 - 5*l**d - 26*l**3 + 4*l**m wrt l?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 48959*w + 146914. Calculate n(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**2\/t)))**(2\/13)*(t**(-1\/5))**(6\/19))**(-29) assuming t is positive.\nAnswer: t**(-8758\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*q**3 + 112*q**3 - 1408*q**3 + q as c*q**3 + y*q + p + d*q**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*7\/(1295\/10)?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1385358139 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6 and -39\/770.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s - 17. Let p(n) = -19*n + 38. Determine -3*p(g) - 7*x(g).\nAnswer: -13*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 618119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6752)\/2532)\/((-8)\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2486*j - 2455*j - 577, 5*j - 99 = -q for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/392 + 23*d**7\/245 + 163*d**6\/140 + 361*d**5\/70 + 80*d**4\/7 + 100*d**3\/7 + 1116*d**2. Find w such that y(w) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 136 = -0*l + 2*l, 2*l + 3*v - 137 = 0. Suppose 8*n - 10*n - 13 = -r, 3*r = 2*n + 39. Calculate the remainder when l is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*u**6 - 64*u**4 + 115*u**2 + 2*u wrt u?\nAnswer: -960*u**3 - 1536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v - 3. Let m be f(-3). Suppose 0 = 3*n - 5*h - 13, -m*n + 14 = -n + 2*h. Solve -g + n*g + 29 = -3*s, 5*g - 2*s + 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 a when three letters picked without replacement from jkhajkjojmjjhj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704846 is divided by 352374.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 5*g - 17*g**2 + 18*g**2 - 6*g to the form v*g + d*g**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20914.83 years in months?\nAnswer: 250977.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 9) to base 16.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529211, 1060395, 1591579?\nAnswer: 2122763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*l - 6*l**4 - 32*l**3 + 76*l - 10*l to the form q*l**4 + a + p*l + z*l**2 + f*l**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.6 - 17.6. What is the closest to 1\/3 in 3\/2, c, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 32 = -8*x. Suppose 4*u - 23 = -x*a + a, -2*a + 3*u + 57 = 0. Calculate the remainder when 98 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(-1))*16. Suppose -2*o + 0 = -j. What is the least common multiple of 1 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 2. Let d be (8 - c)*(1 + -2). Suppose 6621 = d*z + 2329. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*j - 4*x + 1, 2*x = 4*j - 12. Let d be 3 + (0 - j - -2). Solve d*y + 13 = 3*g, -3*y = -2*g + 8 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*u + 8 + 20, -u - 31 = -2*s. Let z = 27 - s. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + (-3)\/(-63). Let o = 211\/4 - 52. Let u = -4.7 + 5. Which is the nearest to 0? (a) o (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhgg when four letters picked without replacement from hgggh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)*r**(-1)\/r)\/((r\/((r*r**(-1\/3))\/r))\/((r**(4\/7)*r)\/r)) assuming r is positive.\nAnswer: r**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and -2 - (-12 + (-4)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6))**(-15\/2)*(y\/(y**(-2\/121)*y*y))**(-1\/49))**(-2) assuming y is positive.\nAnswer: y**(-76264\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let v(p) = p**2. Let l be v(y). Is 13 a factor of l + 18 + 1\/(-2)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 236*n**2\/5 + 1204*n - 40768\/5.\nAnswer: (n - 208)*(n - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 4819?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*v**2 - 11322*v + 39*v**2 + 11322*v + 49*v**2 + 9.\nAnswer: v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 + 381 - (2 + -2 + -27).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + f**4)*(2*f + f - f) + 83*f**5 + 69*f**5 - f - f**2 - 5*f**4 - 158*f**5.\nAnswer: -4*f**5 - 5*f**4 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 1, 7, 0, 5 in increasing order.\nAnswer: 0, 1, 5, 7, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1911*3.62.\nAnswer: -6917.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.83 + -147.59. What is q rounded to 0 decimal places?\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + 0 + (0 + (sqrt(1539) + (sqrt(1539) - sqrt(1539)*1*1))*4)*4)**2.\nAnswer: -1970000 - 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 3*h - 9. Let v be k(-6). Let u be (0 - -3*(0 + 1))*1. Suppose -v*x + 12 = -u*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 p(v) = 6*v. Let h(i) be the second derivative of i**3\/3 + 10*i. What is p(h(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + 2) - (-5 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*j**3 + 4)*(-9*j**2 + 7*j + 8*j**2 - 58*j).\nAnswer: 2*j**5 + 102*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - (3 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from qyyu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:31 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1215255\/13 + 93663. Let t = -182 + m. What is the closest to 1 in -2\/9, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943292473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328024*k**3 + 390027*k**3 - 199363*k**3 - 36053*k**3.\nAnswer: 482635*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*j - 112 + 736 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 9 = 0, -5*a + b + 11 + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 12\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291320.\nAnswer: 2, 5, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2422, -4756, -7090?\nAnswer: -9424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/11310 and 106\/1204515?\nAnswer: 2409030","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -5 - (22 + (-26 - 11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167319748 to the power of 1\/2, to the nearest integer?\nAnswer: 12935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 753, 1678, 2973?\nAnswer: 4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87346123.\nAnswer: 3319, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2. Let v(z) = 12*z - 151. What is v(n(k))?\nAnswer: 36*k**2 - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000 (base 3) to base 5.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose 3*u = -u + 176. Suppose 3*f + f - u = q. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10317 and 2422323?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13 - v + 6*v + 4*v + 10*v. Let n = -62 + 69. What is the hundreds digit of t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769940 divided by 685.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 7. Let l(s) = -5*s - 22. Let n(f) = l(f) - 3*x(f). Determine n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -809539, -809558, -809601, -809680, -809807, -809994?\n\"Answer: -2*c**3 - 5*c - 809532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvsbcbvbzbbbzww. Give prob of picking 1 c, 1 w, 1 s, and 1 z.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 + 0*z**2 + 3*z**3)*(2*z + z + 3*z) + (5*z + 5 - 5)*(-3*z**3 + 4*z**3 + z**3) to f*z**2 + q + a*z + u*z**4 + y*z**3 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.4 - 61.4. Let r = 41\/4 + -21\/2. Which is the smallest value? (a) 164 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -65, -1\/4, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44685371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-1) + (-792)\/(-9108) + (-5005)\/161?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3154*r**2 - 2. Let j(p) = 244*p**2 + 5*p - 5. Let k(i) = -195*i**2 - 4*i + 4. Let l(w) = -4*j(w) - 5*k(w). What is s(l(a))?\nAnswer: -3154*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 29*h**2 - h - 1. Let l be v(-1). Let b(i) = 4*i**2 + 1 - l*i + 30*i + 0. Let g be b(-1). Solve -4*r - 5*p = -12, -5*r - g*p = -3*p + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 827?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11253 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:37 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k + 8. Let y(j) = j**2 - j + 1. Let b(d) = i(d) - 3*y(d). Let l(n) = -n**2 + n + 1. Let m(q) = -b(q) + 5*l(q). Let m(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 491*d**3 + 1 - 737*d**3.\nAnswer: -1228*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 22. Suppose -5*r - p = -26. List the prime factors of 38*((-3)\/r - -2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3253 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 274179054 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3*x**2 - 5*p**3*x - 181802*p**2*x**2 - 2*p + 4*x**2 + 28949 wrt x?\nAnswer: -6*p**3 - 363604*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -6. Suppose -u + l*s - 1959992 = 5*s, 4 = s. Round u to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, f: 9, q: 6}. What is prob of sequence pff?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:02 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3210 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501 by 5.\nAnswer: 501\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*9\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(-20)\/(-70)*11\/1. Calculate the greatest common factor of h and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7*o - 44 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 80705322 divided by 26901774\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (23 - -6)) + 36\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*b + 0*b + 105 = 0, -21 = -m + b. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 3*x**2 - 4*x**2)*(0 - 2 + 1 + (-4 + 2 + 4)*(5 - 4 - 3) - 2 + 2 - 1 + (4 + 12 + 3)*(1 + 0 - 2)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (14 - 18)) + (0 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4022377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and -0.05?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 38 - 37)*(-q + q + q**2)*(0 - 1 + 3).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -137*s**3 - 48*s**2 - 4*s - 24. Let p(o) = 134*o**3 + 49*o**2 + 5*o + 30. Give 5*b(q) + 4*p(q).\nAnswer: -149*q**3 - 44*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -665 in -824, 6, -1?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x - 1. Let o(l) = l**2 - 2*l - 1. Let g be o(2). Let a = -4 + g. Give i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 5*o - 4. Let z(t) be the third derivative of t**5\/15 - t**4\/4 - 5*t**3\/6 + t**2 - 435*t - 6. Determine -5*a(n) + 4*z(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = v + 4*p, 7*p = 3*p + 12. Let d(o) = -o - 6. Let q be d(0). Let u = q + v. Let b(j) = 2*j - 7. What is b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -340.7040873 + 356.50408833. Let f = a - 15.8. What is f rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201111 - 10?\nAnswer: 201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37165270747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/8 + 2085*s**4\/8 + 10934*s**3 - 85155*s**2 + 201062*s - 153150 = 0 for s.\nAnswer: -2042, -50, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*a)*(-3*a + 7*a - 2*a) - a**2 - 5 + 5 + 6*a**2 - 190 + 190 in the form r + f*a**2 + h*a and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1192 + 1217. What is the remainder when 30424 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8041868 seconds to microseconds.\nAnswer: 804186.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 24*f - 12. Let n(z) = -3*z**2 + 21*z - 10. Let d(g) = -5*a(g) + 6*n(g). Let p(o) = -o. What is -d(w) - 6*p(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Let j = 12600 - 12598. Suppose 0 = -j*p, -55 = -l*g + 4*p + 37. What is the highest common factor of g and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 - -936481?\nAnswer: 936702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (20\/7)\/((-66)\/(-3696)*-88)*2\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102\/13 - 100\/13. Let v be (-17)\/15 - (-5)\/(-25)*-4. What is the closest to v in p, -4\/7, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 32*u + 90. Let j be h(-28). Let q(x) = -12*x - 137. What are the prime factors of q(j)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21894826 * 0.4\nAnswer: -8757930.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**(2\/49)*d)\/d))\/(d**16\/d))\/(d\/d**(-32))**(1\/9))**23 assuming d is positive.\nAnswer: d**(-59869\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204624 and 460404?\nAnswer: 1841616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/44 + (-12)\/22. Which is smaller: d or -1\/1497?\nAnswer: -1\/1497","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -3*o, 0*g + 5*o + 36 = 2*g. Let a = 5 + 3. Suppose 0*z = 2*z - a. Solve 5*i = -3*m + 6, -z*i + 2*m = 6*m - g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*p + 0*p - 1 = 0, 4*h = p + 7. Suppose -4 + h = -3*i. Is (i\/(-2))\/(4\/(-408)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, w: 15, h: 2}. Give prob of picking 3 w.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**(-1))**(38\/5)*b**(-1)*b**0*b**(2\/5)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(433\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 384*l**4 - 7*l**3 + 17*l**2 - 3*l + 1789675 wrt l?\nAnswer: 1536*l**3 - 21*l**2 + 34*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1543*g - 22 = -1554*g. Sort -283, -1, 4, g.\nAnswer: -283, -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -22*a + 31*a + 21*a. What is the greatest common factor of a and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i**2. Let t(w) = -2*w**2. Let o(q) = q**2 + 3 - 3. Let z(r) = -6*o(r) - 5*t(r). Let j be 2\/(-6) + (-2 - (-93)\/9). Determine j*z(f) + 3*p(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*j - 2210*j - 1303*j - 2513*j - 202*j.\nAnswer: -5994*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210430.\nAnswer: 2, 5, 11, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 38. Let b(n) = 2*n**2 - 12*n - 7. Let g be b(6). List the prime factors of f(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 1390390 - 126190 = 0. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*70\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85623\/36640 + 382\/229. Calculate the common denominator of 87\/640 and m.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 3825?\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26901733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(42)\/sqrt(7)) + (sqrt(468) + -1 - sqrt(13) - sqrt(13)).\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6)*-1)\/((-96)\/(-1008)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 6596?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {y: 1, s: 2, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 12:43 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 650?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 1:12 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.81 - 0.09. Let w = -8 - i. Let d = -0.3 + -2.7. What is the closest to w in -1\/8, 3, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:15 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087100 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*z + 54093 + 5192 - 29194 + 50297 = 0 for z.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 20*d - 1638 = 0. Suppose 4*h = b + 976, 973 = 5*h + 2*b - d. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 566, 1371, 2502, 3959, 5742?\nAnswer: 7851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1014537 (base 10) to base 9\nAnswer: -1815613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439905081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55, -4, -87, -200, -349?\n\"Answer: -t**3 - 6*t**2 - 34*t + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201001 + -10201022?\nAnswer: -100102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 72 = -0*x. Suppose 0*l = 2*l - x. Suppose 6 = 5*u - l. What is the closest to -1 in 0.3, 0.5, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1*(-360)\/(-75). Find h, given that -5*h**3 + 3*h - h**3 + 0*h - m*h**2 + 13*h**4 + 3*h**5 + 12 - h**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1431\/(-106)*(-8)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66065994?\nAnswer: 2, 3, 3670333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-836)\/(-57))\/44)\/(-4*4\/(-24)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -982 = -3*m + 158. Let g(x) = m + x - 384 + x. Let l(y) = -4*y + 7. Let n = 0 - 5. What is n*g(a) - 3*l(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/3 + 19*n + 17278\/3 = 0. What is n?\nAnswer: -106, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104882 and 1603.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -1\/2, -2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 34 - 34 - 2*p**3 - 48*p**2 + 40*p**2 in the form s*p + t*p**2 + l + v*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743110839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 divided by -1?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162771653.\nAnswer: 11, 14797423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - 10 - -14. Solve u*f + 15 = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9524 - -0.1624. Let d = g + -0.21. Let y = d + 8.00000044. What is y rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3105, -3106, -3107, -3108, -3109, -3110?\nAnswer: -3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 2, i: 5, z: 5}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0. Let l be (18\/8)\/(6\/(-4)). Which is the third biggest value? (a) l (b) v (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 2112?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4998*c**3 + 2496*c**3 + 2493*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2 + p. Let h(i) = -i**3 - 4*i**2 + 5*i. Let n(s) = h(s) - 5*y(s). What is the third derivative of n(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 32 - ((-1 + 9 - 0) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22817 is divided by 157?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190656 and 593152.\nAnswer: 5338368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28226 + 28384.7. Which is greater: j or 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**6 - 92*t**3 + 299*t**2 wrt t.\nAnswer: 240*t**3 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813?\nAnswer: 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -57*j + 133. Let s be l(2). Suppose -21 - c**2 - 9 - 43*c - 12 - 19*c + s*c = 0. Calculate c.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 n when four letters picked without replacement from vpnponnnooaonon.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8*f + 23 = -4*f, -29 = -4*x + 5*f. Suppose -14*k + 20793 = -x*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 5 + 3*l**2 - 4630*l + 1632*l + 1637*l + 1361*l.\nAnswer: 3*l**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9709883*d = 9709959*d - 304 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9 - 2*x + x + 8. Let k(l) = 203*l - 28. Let d(p) = 21*p - 3. Let j(n) = 77*d(n) - 8*k(n). Give -6*i(t) + j(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 2\/9 (c) 0.45 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 63.6101 millennia?\nAnswer: 6361.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(1\/(-42))\/((-5)\/(-15))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39058 is divided by 39058.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56688 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(4\/22 - 9642497\/(-506)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-7) + 3472\/(-784). Let o be 20\/(-30) + (-4)\/3. What is the nearest to 1 in q, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95152, 190296, 285440, 380584?\nAnswer: 475728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 - 9*o - 16. Let p be q(8). Does 5 divide 54\/p*(-32)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373405 is divided by 177.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -16\/9, 5\/386?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 751006*t**2 + 15*t + 21. Let y be m(-2). Suppose -y = 8*v + 1035985. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 193*i + 192*i + 250, 256 = 2*j - 2*i. Calculate the least common multiple of j and 1827.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 51564*a**2 + a - 11. Give w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/((-496)\/(-48) + -10)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131.80306 + -0.07694. Round n to zero dps.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143853239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 4*n**2 + 0*n**2)*(n - 4*n + 2*n + 3 - 3 + 2*n + (-25 + 25 + 20*n)*(2 - 1 + 1)).\nAnswer: -41*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*b**2*m - 18*b - 8433*m with respect to b.\nAnswer: -52*b*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1 - -3) - (-54)\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056002 + 15?\nAnswer: 14.943998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 507710213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/87 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**3 - 49*k**3 + 27*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*f - 3 - 0, -2 = 2*y + 3*f. Let v = -7 - -28. Let r be (3 + v\/(-6))*y. Which is the nearest to r? (a) 5 (b) -1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 + -982\/7. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1400 divided by 4\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:34 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -14) + -4 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1113 (b) -4\/5 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmorrrmmommamm. What is prob of picking 1 r and 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362571103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5200*w**2. Let n(j) = 11*j**2. Determine u(n(x)).\nAnswer: -629200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 33 - 6 - 9 - 356*v.\nAnswer: -356*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 + 2*k**2 + 6*k**2)*(183*k + 183*k - 366*k + 188*k**2) to the form d*k**4 + y*k + l*k**2 + w*k**3 + c and give d.\nAnswer: 1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 - 80 = -4*l. Let t = l + 88. Sort 2, t, -3 in increasing order.\nAnswer: -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15))**(-45)\/((v**(-18)\/v)\/(v\/v**13)) assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*i**2 - 1060*i**2 + 2108*i**2 - 235*i + 235*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -4*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, -5, -2, 21 in increasing order.\nAnswer: -293, -5, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**2 - 315*p + 501 wrt p.\nAnswer: -4*p - 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 910196*z\/13 + 24573834\/13.\nAnswer: 2*(z + 27)*(z + 455071)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a9db - -13?\nAnswer: -1a9c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (1 + sqrt(500)))*6)**2 - (-4 + -1*sqrt(500) - sqrt(500))) + -1 + ((0 + sqrt(500))*-1)**2 + sqrt(500).\nAnswer: 30*sqrt(5) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 8 = -7*i. What is the third derivative of -507*x**2 + 505*x**2 - 19*x**3 + 5*x**3 - i*x - 12*x wrt x?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*z + 11*z + 1229*z = -345*z - 20720 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = 7. Suppose -14 = -3*x - h. Suppose 24 = -5*v - 2*w - 93, -v - x*w - 26 = 0. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28677 and 726.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, -1\/3, -26?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -1, -9, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 - 2*m**2 - 2*m - 1. Let k be c(-1). Suppose k*b = 2*b + 54. Calculate the greatest common factor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327893*b*i*q**3 - 191*b*q**3 + b*q - 44358994*i*q**3 wrt b.\nAnswer: -327893*i*q**3 - 191*q**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/15*(-1 + -2). Suppose q - 4 = m. Calculate the least common multiple of 2 + (-4 - 0) + 13 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Solve 2*s - 10 = 0, -l*n + 0*s + 8 = s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -5. Let r = o - 1. Suppose -4*a = -20, 0*l + 5*a = -5*l + 45. What is the remainder when r is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from lxjbqxmlxllbxm.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose 0 = 3*j + x - 2*x + 21, 0 = -y*j + 5*x - 27. What is the units digit of 3*-3*j\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 7087, 23922, 56703, 110746?\nAnswer: 191367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*t - 1 + 6, -4*c + 16 = -2*t. Suppose -3*k = -2*p + 17, -2*k - 16 = -2*p - t. Solve -5*x = -6*x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 459 and 1324674.\nAnswer: 1324674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1416695.\nAnswer: -1\/1416695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k**2. Let l(h) = -8207*h. Determine l(i(p)).\nAnswer: 131312*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 11. What is the remainder when (3\/1)\/(1\/8) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - 9\/7. Let c be (1 + (-3)\/2)*1412\/1765. What is the closest to c in 4, -6\/11, w, -1\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {y: 3, l: 5, e: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4584, -32, -3, 2, 3 in ascending order.\nAnswer: -32, -3, 2, 3, 4584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-4\/7)*b\/(b*b*b*b**(8\/11)) assuming b is positive.\nAnswer: b**(-177\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/58872718 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1791 - 1790.3. Do r and -0.93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 284373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t. Let s(m) = -6*m**2. Let w(g) = 13*g**2. Let l(x) = -9*s(x) - 4*w(x). What is l(k(o))?\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 701, 717, 733, 749?\n\"Answer: 16*a + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.196698 (b) -4 (c) 53 (d) 0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6185261*u. Let c(d) = -39*d**2. Calculate q(c(k)).\nAnswer: 241225179*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/4 of a century?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from sccsctzjzzczczsjcz?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1790 (base 12) to base 8\nAnswer: -5434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from gffgff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1082464*z. Let g(f) = -3*f**2. Give g(c(l)).\nAnswer: -3515184933888*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Suppose -2*o = 2*o + 32. Suppose 0 = -w + 3*h + 11, 0 = -4*w - 5*h + 1 - 8. What is the smallest common multiple of w and l(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/93699531 and 10\/24292471.\nAnswer: 655896717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(4\/(-20)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**7\/7 - 2*i**5\/5 - 1244*i**3\/3 - 193. What is the third derivative of r(f) wrt f?\nAnswer: 120*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 813177*m**2 + 55104329520*m - 55105142700.\nAnswer: 3*(m - 1)*(m + 135530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*w**5 - 14*w**5 - 12*w**5 + 16 - 2 + 2 + w**5 + (2*w**2 + 4*w**2 - 4*w**2)*(3*w - 3*w + w**3).\nAnswer: 4*w**5 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27592 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 42814283.1 to the nearest one hundred thousand.\nAnswer: 42800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 - -363. List the prime factors of c.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + -39 + 8 + 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u - 12*u + 3*u + 2*u. Let b(r) = 11*r. What is x(b(n))?\nAnswer: -165*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b + 12 = 171*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 9*u + 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:31 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5 - 620*g**4 + 2528*g**3 - 2544*g**2 = 0. What is g?\nAnswer: -159, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62\/(-15) - (-1)\/3*(-231 - -232). Let l = 6.13 + -0.13. Let r = l + -5.5. Which is the second smallest value? (a) -2\/15 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -0.09. What is the smallest value in -0.3, 3\/4, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 4) to base 3.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/11 and 0 - (-3 - (-217)\/231).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 1 - 2*d - 1 + 1. Let q be p(1). Is 12 a factor of (q\/4)\/((-5)\/240)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230 - -230.00000093. Round v to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - g - 45021, -2*n - 2*g - 12659 = -42681. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 72.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7*u)\/(u\/(u\/u**4)))\/(u*u*u\/(u\/u**(-2))*u)**29*(u**(-1\/9)\/(u\/(u*u**6)))\/(u**1)**10 assuming u is positive.\nAnswer: u**(-262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38203*w**2 - 853*w + 58503904.\nAnswer: -76406*w - 853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h + u - 15, 0 = -3*h + 4*u + 15. Suppose -4*y - 12 = 4*x, 0 = -h*y + x - 2*x + 5. Solve y*c + 8 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 77840992*g - 378701252221504.\nAnswer: -4*(g + 9730124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 46 = 11*h, h - 3*z = -2 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 94914454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1833, 3743, 5623, 7473, 9293?\n\"Answer: -15*k**2 + 1955*k - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-760)*(-6818)\/4383*30\/14\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*s**2 + s**3 - 8*s**2)*(-2 - 1 + 2*s + s) to d + k*s + n*s**2 + h*s**4 + y*s**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 27. Let c be p(17). Suppose 11*n = c*n + 967. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1397 and -6501687.5.\nAnswer: -6500290.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -323*z. Let v(y) = -y - 16. Calculate v(a(m)).\nAnswer: 323*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 523981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22559466*w**3 + 5*w**2 - 12745192*w.\nAnswer: 135356796*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -484.44508 + -1.02492. What is w rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-6)\/285 - (-128)\/133. Let d be (-2)\/(-4) - 14\/44. Let t be 0\/(-10)*1\/(-2 - 0). Which is the nearest to t? (a) x (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-21\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8) + 10413\/(-52). Let j = x - -305. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let v = -12361\/1386 + 152\/77. What is the common denominator of 190\/g*3\/(-44) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*i. Solve i = -5*l + 3 - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/(-3) - 0). Let x be 1*(2\/(-2) - c). Suppose 0 = g - 3, 4*g - x*g = z - 68. Is 37 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90 - -1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300 + -307. Which is the third smallest value? (a) v (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -g + 2*y - 7, -4*g + 5*y + 28 = 0. Suppose -g*c + 24 = 6. Let x(m) = c*m - m**2 - 2 - 5 - m - 2*m. Determine x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*p + 54*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2155 * 68.\nAnswer: 82.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25566*b**2*q**2 - b**2 + 65151*q**2 with respect to b.\nAnswer: -51132*b*q**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = l - 0*l - 2*u, -2*l = u - 3. Is l\/(0 + (-2)\/(-6)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 530154*m**5*s - 2*m**2*s + 2*m**2 - m*s - 3*m - 136*s wrt m?\nAnswer: 31809240*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/108*288\/64\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58380)\/(-661640))\/((-21)\/(-24) + 2\/(-4)*1)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-662.97\nAnswer: -66.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 16*c**2 + 3*c - 1. Let k be z(-15). Suppose 3*l = 2*x + 616, 440 + k = 3*l + x. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*v - 1972 - 6309 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - 19\/(-7). Suppose -a*d = i + i - 206, 0 = 4*i - d - 440. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -1.3. Put -3, -4, 0.4, v in ascending order.\nAnswer: -4, -3, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.01, -1, -61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2780 (base 12) to base 5.\nAnswer: -121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 3582\/29917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -475 - -314. Let s = 156 + b. Suppose 2*l + 4*x - 22 = 0, -2*l = -6*l + 5*x - 21. What is the biggest value in s, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 253, 250, 247, 244, 241?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 5, 2\/971 in decreasing order.\nAnswer: 5, 2\/971, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1366 - -1329.65. Let z = -56.45 - -58. Let u = z + l. What is u rounded to zero decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205077026?\nAnswer: 2, 7, 11, 151, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -52. Let f = 23 + -18. Suppose 3*h + 2*p + 5 = -0, 0 = 4*h + f*p + 16. Solve -i = -n + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3\/6 + 55*d**2 + 230*d + 700\/3 = 0. What is d?\nAnswer: -2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)\/m*m**(7\/2))\/(m**(-1\/10)\/m**(4\/5)))**(-1\/15) assuming m is positive.\nAnswer: m**(-134\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1463.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 48 = -5*y + 7, 4*y - 40 = -2*f. Let p be (-4)\/f - 34\/(-10). Let c be ((-1)\/p)\/((-3)\/27). Solve 0 = c*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 252, 533, 886, 1347, 1952?\n\"Answer: 6*b**3 + 239*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let t(k) = 28*k. Let c be t(j). Suppose 2*f + 4*l - 42 = 0, -4*f + 2*f + 3*l = -c. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 7*f - 9 = -5*k, -2*f - 15 = -3*k. Solve -9 - k = -6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 2. Let w be 130\/(-6) + 32\/((-352)\/(-231)). What is the third smallest value in -10, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 4 = -11*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5428*u**3 + 1146.\nAnswer: 16284*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -2*v, -3*v - a + 0*a + 10 = 0. Suppose 2*y**v - 8 + 2 - 3*y + y + 2 + 4*y**2 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8931 and 50838.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 9) to base 15\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnf when three letters picked without replacement from {f: 1, n: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(2)) - (0 + sqrt(2))*-6.\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 20*d**2 - 20*d - 17. Let y be t(21). Solve -7*u = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 653, 1, -2, -95, -1 in increasing order.\nAnswer: -95, -3, -2, -1, 1, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 + 9656*m**4 + 19298*m**3 - 28972*m**2 - 77224*m - 38608 = 0.\nAnswer: -4826, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 84721070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9926215?\nAnswer: 5, 13, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -3*m + 7*b + 27457, 5*b - 18303 = -2*m. List the prime factors of m.\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1700 and 24514340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - s. Let a = -38 - -39. Let l be (2\/6)\/(4\/12). Let r(d) = -9*d + 0 + l - 1 - 6*d**2. Calculate a*r(x) - 9*w(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:40 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3629, -2 in ascending order.\nAnswer: -3629, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-5))\/((-10)\/25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2002?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(3\/8)\/w*w)\/w)\/w)\/(((w**(-6\/11)\/w)\/w*w)\/w))\/(w**(-2\/5))**(-35) assuming w is positive.\nAnswer: w**(-1151\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/369 in -6, 0.029, 0.3, -9, -1\/5?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + j**2)*(4*j + 3*j - 4*j + (0 + 1 + 1)*(4*j + 0*j + 0*j) + j - 2 + 2 - j + 0*j + 0*j) to d*j**2 + l*j**3 + k*j + m and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1 - -2) + -3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 10 = -4*x, 4*x = -5*s + 2375. Suppose n = -2*k + 559, 4*n - s = -2*k + 85. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 2*s + 1. Let i be g(-3). Let d be (i\/(-10))\/((-3)\/(-393)). Let t = 26 - d. Which is the second biggest value? (a) -3 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -43, -3, -188, -9, -10.\nAnswer: -188, -43, -10, -9, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-5181035)\/(-20))\/((-2)\/(-8)). Let p = 209223 - h. Round p to the nearest ten thousand.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 84, -60, -304, -654, -1116, -1696?\n\"Answer: -m**3 - 44*m**2 - 5*m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*901\/636*-6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 divided by 3578?\nAnswer: -139\/3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 + 2*c + 4. Let q be g(5). Suppose -26*t + 22*t + q = 0. What is the smallest common multiple of 20 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5273024.306 take away -425?\nAnswer: -5272599.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*s - 1578, -2*j - 5*s + 143 = -1420. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n + 2. Let a be c(0). Suppose -3*k = -g - 6, -a*g - 8 = -k - 3*k. Solve 4*z = -g*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 7*g = 1722. Let k be g\/8 + ((-38)\/(-19))\/(-8). Solve 1 = k*p - 9*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -0.5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w + 95. Suppose 11 = -2*h + 3*h. Calculate the remainder when h is divided by f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/90*(-85)\/(-7) and (-3)\/(-9)*(-41)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i + 22 - 22)*(2 - 1 - 4) as j*i + r and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*f**5 - 2*f**4 - 2*f**3 - 2*f**2 + 3549*f wrt f?\nAnswer: -15420*f**2 - 48*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g + 41. Let m(j) = -4*j + 21. Let u(h) = -3*b(h) + 5*m(h). Let f(l) = -l**2. Calculate f(u(y)).\nAnswer: -y**2 + 36*y - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 19. Suppose 0 = -5*p + 3*g - 5*g + u, 15 = 5*p - 5*g. Solve -p = -2*f + a, -6*a + 2*a = 5*f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y**2 - 104*y**2 + y - 3*y in the form f + v*y + w*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56\/42)\/(4\/6). Let m(n) be the third derivative of 1\/10*n**5 + 0 + 4\/3*n**3 + 0*n + 2\/3*n**4 + 3*n**x. Factor m(b).\nAnswer: 2*(b + 2)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 1. Let y be d(-1). Let b = 5 + -1. Suppose 371*j + 1250 = -373*j - 982. Sort -4, j, b, y.\nAnswer: -4, j, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 + 14*w - 1. Let m be g(-8). Solve -3*x + 0*x = m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = -2*v + 2*m, v - 2*m - 16 = 0. Suppose 8*c = v*c - 72. What is the lowest common multiple of 58 and c?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 192061679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1088252 and 7964.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111281 and 1285?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h - 40. Suppose 0*a = -a + 9. Let i be h - a\/(-3)*1. Solve -5*n + i = 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 2)\/2 - (-455 + -5).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960885 and 4716.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1581 and 7697424?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.051 and 0.69661.\nAnswer: 0.74761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/24*12)\/((-11)\/((-341)\/(-2))).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -168\nAnswer: 319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/30 + 2*h**4\/3 - 16*h**2 - 2*h. Factor n(p).\nAnswer: -2*p*(p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-60) + (-72774006)\/(-15). Round c to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4033227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 16*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*b - 51*b - 91*b)*(b + 0*b - 4*b) + b**2 + b**2 + 2*b**2.\nAnswer: 361*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/6 - 650809*v\/3 + 423552354481\/6 = 0. Calculate v.\nAnswer: 650809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + -5 + 0 - (5 + 8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/11)\/((-8)\/(-43466)). Let f = u - -12846. Let g = -2\/3493 + 192127\/20958. Calculate the common denominator of g and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28538432 and -6.\nAnswer: 28538426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.5 (b) 3\/52 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -5300. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/21 - 24*j**5\/35 + 253*j**4\/14 - 568*j**3\/7 - 36*j**2 + 1728*j\/7 - 7366. Suppose i(x) = 0. What is x?\nAnswer: -24, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + m - 1. Let s(h) = -6*h**2 + 4*h - 8. Let p(a) = 5*c(a) - s(a). Let n be p(-3). Solve 5*g = n + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -53*z - 2. Let m(j) = -3*j**2. What is k(m(i))?\nAnswer: 159*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 586528, 586518, 586508, 586498?\nAnswer: 586488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n**(-1\/18)*n))\/(n**4)**(-5\/6) assuming n is positive.\nAnswer: n**(133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g - 67*g + 1380 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (492\/64)\/(-3) and -113\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/5, 0.9, 1\/4, 2\/11683?\nAnswer: 2\/11683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1377801038 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/9*18\/(-8)*78\/156?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7*k = -37, -462*k = -2*y + 14*y - 467*k - 286 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1 - 7*f**2 - 1 + 6*f**2. Let a(l) = -l**2 + 2*l. Let w(o) = 3*o**2 - 7*o. Let g(i) = -14*a(i) - 4*w(i). Determine g(q(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((14\/5)\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/9 - 8*m - 1564.\nAnswer: 4*(m - 69)*(m + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 319719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - (-1017)\/(-126))*12\/(-2). Sort 1, y, 640\/9 in descending order.\nAnswer: 640\/9, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114162423285*v**2 + 91*v**3 + 114162423285*v**2.\nAnswer: 91*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m + 357 - 713 - 464 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2439945 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531951?\nAnswer: 3, 7, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 72204 - 17429. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 35*l**2 - 145*l - 115. Let j be i(30). Calculate the greatest common factor of 77 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-8)*6\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19285*b**2 - 19320*b**2 + 57956*b**2 - 19295*b**2.\nAnswer: 56*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - f + 126 = 0, 4*f = -3*k + 2*f + 190. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**2*x**2 - 29094*k**2*x + 6*k*x**2 + 451*k*x + 6*k - 2*x**2 wrt k?\nAnswer: -8*x**2 - 58188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from {u: 5, t: 8}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 29, 15, -11, -55, -123, -221?\n\"Answer: -u**3 + 3*u**2 - 10*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1 - 8*x + 0 - 12*x. Suppose -13 + 1 = 2*v - s, -28 = 4*v - 4*s. Let m be a(v). Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -179108, -179103, -179098, -179093, -179088?\n\"Answer: 5*v - 179113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-2) - (-70)\/30 - -4. Solve -y*d - 2\/3*d**3 - 8\/3*d**2 - 4\/3 = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000287460139 to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*f + 64 = 197*f - 4*r, -5*f + 229 = -19*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**(13\/2))**(-39\/4) assuming d is positive.\nAnswer: d**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23073, -46235, -69397, -92559?\n\"Answer: -23162*y + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (0 + -6 + 16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7887 less than -159712220?\nAnswer: -159720107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t + 52. Determine g(-8).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) 12988 (c) 2 (d) -5 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.28. Let n = 0.08 - h. Let q = n + 0.1699987. What is q rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17523105 rounded to the nearest 10000?\nAnswer: 17520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-142)\/(-8) + 32\/128. Do n and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*z + 28. Suppose -6 = z*d + 29. Sort d, 4, -12, 3 in decreasing order.\nAnswer: 4, 3, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (-3*sqrt(96)*4 + sqrt(96)) - sqrt(96))\/(-3*sqrt(432)))\/(((sqrt(16) - sqrt(16)*1)\/sqrt(4) + sqrt(196) + sqrt(196)*2)*4).\nAnswer: -11*sqrt(2)\/1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + j + 0 + (-j + 0*j + 2*j)*(0 + 2 + 5) to the form i*j + b and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y**2 - 13*y + 3. Let w be o(5). Let f = w - -56. Suppose 0 = -2*a + 26 - f. What is a rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 704 and 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -99734?\nAnswer: -99737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -36, -59, -102, -171?\n\"Answer: -f**3 - f**2 + f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*s**2 - 2163*s**2 - 365*s**2 as d*s + h*s**2 + p and give h.\nAnswer: -2432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2175\/(-203) + (-4)\/14 - (-307 + 254)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008405 to five dps.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32760587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*a + 18251 = -1558*a - 22597 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3280*u**2. Let g(q) = -4410*q**2. What is z(g(v))?\nAnswer: 63789768000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-34) + (-2247168)\/(-238) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 15 - 27 - 12*p as w*p + h and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1699 + 1712. Let y = -25 + 43. Let r = y - -19. Calculate the remainder when r is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 2 = -7*j. Suppose -25 = -2*z - 3*z. Suppose j*a - 1 = z. What is the smallest common multiple of 1 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1571 and 173171.39?\nAnswer: 174742.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.243 + 33.357. Let x = -34 + d. Let t(z) = z**2 - 13*z + 28. Let w be t(3). What is the biggest value in -1\/29, w, x?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10891\/702 + -200\/13. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**6\/180 + a**5\/30 - 7*a**4\/12 + 17*a. Let o(k) be the third derivative of b(k). Suppose 8 = -21*u + 19*u. What is o(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/67)\/(x\/(x\/(x\/(x*x**(-2)\/x)*x))))\/(x**(4\/9)\/x**(2\/21)) assuming x is positive.\nAnswer: x**(-18232\/4221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -408\/1510369?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807310193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*l + 2*j, 2*l - 3*j = -8*j + 1. Let d be 0 - -6*(-472)\/l. Let a = d + -112. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9b95 (base 14) to base 3\nAnswer: -1101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3462 and -25\/5193.\nAnswer: 10386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/127 - -6453\/254. Find the common denominator of 15\/56 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbblblb. What is prob of picking 2 l and 1 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 1\/9*v**3 + 0*v**4 + 1\/90*v**6 - 1\/30*v**5 - 1\/6*v**2 + 0 - 5*v. Factor n(f).\nAnswer: (f - 1)**3*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33952 divided by 33952.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 21. Let a = 39 + -27. Calculate the remainder when i*4\/(-3) + 2 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -5*f**4\/6 + 4*f**3\/3 + 5*f**2\/2 + 2*f + 2087. Let d(k) = -19*k**2 + 15*k + 9. Give -6*d(n) + 11*r(n).\nAnswer: 4*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 3. Suppose -4*s = -5*s + 3*n + 17, 0 = n + 5. Let l(c) = 8 - 5*c**s - 3*c**2 + 5 - 8. Give 5*a(f) + 3*l(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4557 - 9.8207. Let n = o - -0.675. Let u = 8.3 + n. Round u to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3098 is divided by 142.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -43*g**2 - 21*g + 4. Let d(x) = 21*x**2 + 9*x - 2. Calculate -7*d(m) - 3*p(m).\nAnswer: -18*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Suppose -b*n = 5*p - 55, -61 = -3*n + 4*p - 0*p. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110101101110001111110 (base 2) to base 10\nAnswer: 12246142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3305*m + 0*m**2 + 24 - 24 - 3*m**2.\nAnswer: -3*m**2 + 3305*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -851 + 853. Solve -o + v*o - 5*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-14)\/(-32)*60\/210?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*r + 4*d, 4*r - 3*d - 20 + 10 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -34*u - 34. Let n be x(-5). Let v(s) = s**2 - 8*s + 17. Let z be v(8). What is the greatest common factor of z and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2 + 6. Suppose 0 = -r - f*r, -x + r = 12. Let b be x\/18 - ((-2)\/(-6) + -1). Solve b*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(2\/5))*m**(-20)*m)**(5\/2) assuming m is positive.\nAnswer: m**(-93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18119520.8 to the nearest 100000.\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*((-91)\/(-7))\/143\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110937.3 * -0.7\nAnswer: -77656.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*-1*sqrt(275))**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 166657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3604, -7209, -10812, -14413, -18012, -21609, -25204?\nAnswer: -28797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/23646 and 46\/567.\nAnswer: 638442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2289*l - 34118. Determine f(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 7:35 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7750 and 8742.\nAnswer: 1092750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(210\/24))\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1635 and 52216014?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 - 5*w**2\/2 - 2*w + 2. Let g be v(7). Suppose y + 0*y = g. What is the remainder when 34 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.3 plus -4.782?\nAnswer: 19.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -468 divided by -117\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from {o: 1, w: 5, g: 1, v: 4, a: 1, k: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 4*p + 0*p**2 + p**4 - 2 + p**2 - 11*p**2 in the form o*p**2 + l + v*p**3 + y*p**4 + c*p and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -696 - -314. Let l = 439 + n. Calculate the greatest common factor of l and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14 and 5\/58098124?\nAnswer: 58098124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 35 - 11. Suppose -1 = -3*m - 4*u + f, 4*u - 8 = m. Suppose m = n + 5*g - 21, 4*n + 3*g = 32. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*4*((-73563)\/(-14322) - 1*5). Let b = -239 - -1669\/7. What is the closest to 2\/3 in b, -0.3, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 30. Suppose u - 6 = -p - p, u + v = 4*p. What is the remainder when p is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h)**(-3\/8)*(h\/(h*h*h**(1\/4)))**(-19)*((h*h*h**(-8)\/h*h)\/((((h**(-2\/7)*h)\/h)\/h)\/h))**12 assuming h is positive.\nAnswer: h**(-295\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 + 8\/10*(-35)\/14. Suppose -14*p = -t*p - 285. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95466 divided by 15911?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u**2 + u**3 + 0*u**3 - 5 + u**2 + 3*u**2 - 3*u. Does 5 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 8*z**5\/35 - 2*z**4\/7 - 22*z**3\/21 + 6*z**2\/7 + 18*z\/7 - 12. Suppose k(f) = 0. What is f?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001851 rounded to 5 decimal places?\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-6)\/(-4)*(-64)\/(-24). Let u be 0 + 2*(h + 5). Solve -u*i + 5 = -3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 3*n**2 + 7\/60*n**5 + 0 - 19\/24*n**4 + 0*n**3 + 0*n. Find the second derivative of k(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*a - 3. Suppose -7*m + a = -2*m. Suppose 3*b = q - 24, -2*b = -0*b + m. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 1 + 1 + 68*l**2 - 56*l**2 - 33*l**2 + (-l + 4*l - l)*(-5*l + 5*l - 2*l).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)\/(i**(-11)*i))**(-39\/2)*(i**2)**(-39)*(i**0)**(-47) assuming i is positive.\nAnswer: i**(-4680\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -105*a**2 - 31*a + 10. Let d be y(-5). Let k = 3759 + d. What are the prime factors of k?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*b = -1 + 13, -37*b + 73*b + 216 = 72*h + 40*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14499487729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and (-4802)\/18480 - (2 - 40\/22).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + r)*(3*r - 2*r + 2*r + (3 + 2 - 4)*(-2*r + r + 0*r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5399 is divided by 455?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 112 = 4*x. Let j(a) be the third derivative of -a**6\/120 + a**5\/6 + a**4\/24 + 5*a**3\/6 - 2*a**2. What is the remainder when x is divided by j(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8949 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, 10\/9, 5, 2\/7, 1, 12663 in decreasing order.\nAnswer: 12663, 5, 10\/9, 1, 2\/7, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 - (1 + (-18)\/24). Let l = -1 + 2. Is l >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.4, 0, 312?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(273\/18))\/(-3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*j**5 + 15*j - 15*j + j**3 - j**3 - j**5 + (-1 + 1 - 2*j)*(3*j**4 - 3*j**4 - 2*j**4) + j**5 + j**4 - j**4 + 2 - 2 + 2*j**5 + 11*j**5 + 65*j - 65*j.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962333 is divided by 1481120.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 2*n - 0, 4*w + 5*n = 19. What is the least common multiple of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.99113 - 0.00887. Which is the closest to 1? (a) -2\/3 (b) p (c) -123 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2374*n**4 + 10*n + 2372*n**4 + 13*n + 33*n**3 wrt n.\nAnswer: -24*n**2 + 198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -20. Suppose 329 - 329 = 18*v. Solve -k*s + 4 + 12 = v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44420945 by 8884189.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 2 - 2 + 16*x**3.\nAnswer: 16*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180746 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 4*m**5 - 2*m**5 + (-2*m**2 + 2*m**2 - m**4)*(-2*m - 3 + 3).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1*3 - sqrt(104))\/((-1*sqrt(32))\/sqrt(4)))**2*5*-1 + -4.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 14) to base 6\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 9*h - 31. Let a be k(12). Suppose -a*f - 84 = -39. Let l(u) = -u**2 - 9*u + 1. What is l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 3*f**2)*(-f + 1 - 1)*(2 + 2 - 5 + (-1 + 1 - 1)*(-1 + 0 + 2) + 0 + 1 - 2).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24454634.\nAnswer: 2, 19, 157, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 436100161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 172833.369?\nAnswer: 172832.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-24)\/((-4)\/2). Let z be 1\/((-14)\/l)*7. Solve -f + 5 = 2*g, -4*g = -z*f - 6 + 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20461, -40910, -61359, -81808?\n\"Answer: -20449*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(68))*-6 - (sqrt(153) - sqrt(153)*2)*2)**2.\nAnswer: 216*sqrt(17) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14342\/(-568)*(-8 - 0). Let a(n) = -n**2 - n + 4. Let c be a(0). Suppose 3*m - x = m - 4*r, c*m - 4*r - 464 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. Let n be ((-105610)\/4)\/((-2)\/k). Suppose 270610 = 3*i + n. What is i rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -2)*64\/(-24). Let m be (-4)\/2*(-3)\/2. What is the greatest common factor of x and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkkqkuu. What is prob of sequence kuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 5332*r**3 - 42704*r**2 + 85440*r.\nAnswer: r*(r - 4)**2*(r + 5340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10637 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15178 = 3*q - p + 2*p, 5*q + 4*p + 25292 = 0. Let a be -10 + (q\/(-45))\/11. Factor -2\/3*z + 0*z**2 + 4\/9 + a*z**3.\nAnswer: 2*(z - 1)**2*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/105 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 2 - -15) + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 1 s when three letters picked without replacement from ozzszzzuuqqqszqzqq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*f**2*i**2 - 2*b**3 - 3*b**2*f*i - 8*f**2*i + 22*i**2 wrt i.\nAnswer: -2*b**3*f**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o = -i - 24, 2*o + i - 24 = 0. Let h = 7 + -4. Let x be 0 - (-3 - 33)\/h. What is the highest common factor of o and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*h - 5*h. Let m be 1 + 3\/(-3 + 0). Let l(k) = k**2 - 4. Let b be l(m). Sort b, h, 5 in increasing order.\nAnswer: b, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 22*d - 5*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406990429.\nAnswer: 9067, 44887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*1 + 7\/40. Let x(f) = f**2 - 10*f + 9. Let k be x(9). Suppose k = -4*p - 2*v - 8, 2*v + 8 = 3*p - 8*p. Are p and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 + 1207?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -p, 3*s - 5*s + 20 = -4*p. Do 2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 148.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 786363029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 689.33\nAnswer: -2067.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 6*k**5 + 18*k**5 - 2*k**5 + 0*k**3 + 0*k**3 + 0*k**3 + 0*k**3 + 2*k**5 + (-k - k + 3*k)*(-4*k**4 + 7*k**4 - 2*k**4) - 12*k**5 - 5 + 5.\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 62, 70, 92, 134, 202, 302?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*n = 301*n + 1539. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 96. What is the second biggest value in j, -1\/3, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, i: 8, x: 1, r: 3, l: 1}. Give prob of sequence iiiz.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k**4 + 393035*k**3 - 93979140*k**2 - 165863540*k + 47333440 = 0. What is k?\nAnswer: -19888, -2, 1\/4, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 - 23 + 8)*(-o + 0*o + 2*o)*(-1 - 2*o + 1) as g + j*o**2 + m*o and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, g: 1, p: 4}. What is prob of picking 3 p and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 8*z**3 - 5*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 6*v**3 + 0*v + v - 17*v**3 + 44*v**3 - 4*v**3.\nAnswer: 17*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1\/12*o**4 - 1\/2*o**2 + 0 + 7*o + 7\/12*o**3 - 3\/40*o**5. Factor a(p).\nAnswer: -(p - 1)*(p + 2)*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644979776 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqaaqaqaqqq. Give prob of picking 3 q and 1 a.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46\/5 - 179\/20. Let v(n) be the second derivative of 0 + 21\/40*n**5 - 7\/4*n**3 - 3*n - 3\/2*n**2 + u*n**4. Factor v(t).\nAnswer: 3*(t - 1)*(t + 1)*(7*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**3 + 45. Let j(k) = 15*k. Calculate j(m(i)).\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8707807 is divided by 114?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*r + 55, 5*r - 5891 + 6021 = -15*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*g + 16 = -0*t, -2*g - 14 = -3*t. Suppose 0 = -t*y + 4*q - q - 86, 2*q = 0. Let n = 47 + y. Solve v - 13 = n*b, 2 = 3*b + 3*v - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:46 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 32*b - 142. Let h be c(5). Let i be 1\/(-6) + -1 + 57\/h. Let a be 2\/(-9)*(-3)\/(-1). Is a at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40a + -27?\nAnswer: 3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -13 (c) -0.3 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69988, -139828, -209668, -279508?\nAnswer: -349348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38895 divided by 1989.\nAnswer: 12965\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -8 - (-1 + 6) - (212 - 201)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 58801?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 483257517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 9*s - 10. Let i(f) = -f**2 + 2*f + 2. Let d(c) = 22*i(c) + 4*r(c). Suppose -2*g - 12 = -2*b, -2*g - 20 = 3*g + 5*b. Does 5 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 4}. What is prob of picking 3 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -0.32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*d + 39 = -8*m, 10*m = -3*d - 7935 + 7890 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/(-20)*15\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383 and 22.\nAnswer: 8426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (129\/430)\/((-51)\/(-68))*-4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 7, -i - o = -44. Suppose -r + 4*r = -4*f + 32, -3*r + i = -5*f. Suppose -y - r + 61 = 0. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4762167536 rounded to the nearest 100000?\nAnswer: -4762200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4854945 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -2*w - 3, -4*y + 15 = 3*w. Solve -y = 3*a + b, -5*a - 9 = -b + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-1)\/(25\/20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 + (-2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.43893 + -28.47. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*w + 471, -2*o - 3*w + 274 = -41. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, r: 14}. What is prob of picking 2 u?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/9*(315\/(-98))\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 1 + -3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/9 + 148*j**4\/9 - 7097*j**3\/9 + 99854*j**2\/9 + 163132*j\/3 + 57800 = 0.\nAnswer: -2, 50, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -6, -5, -19, 0, 38 in descending order.\nAnswer: 38, 0, -3, -5, -6, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/2)\/(f*f*(f\/(f*f**1*f)*f)\/f*f) assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102159661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a68 + 7e4?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b - 32519 - 53881 = 0. What is the greatest common divisor of b and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 16a?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -60211.7685 to the nearest one thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61799 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 4*o - 52, 12 + 17 = w + 5*o for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5523448.180541 - -5.\nAnswer: -5523443.180541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -p - 39, 2*p + 48 = 4*y + 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 112*g + 1. Let p be m(3). Let u = p + -134. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 43.7. Let n = 15 - 13.5. Let z = n - 1.7. What is the closest to z in -5, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 478, 500, 536, 592, 674, 788?\n\"Answer: s**3 + s**2 + 12*s + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162135159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374 - 316. What is the remainder when 122 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in -0.2, 2\/7, 11\/1777, -3, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31157.7, 2, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 10. Suppose z + 12 = -2*z. Let l be u(z). Suppose 120 = l*m - 13*m. Calculate the highest common factor of m and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 6?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 + v**2\/2 + 4*v - 2. Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-3012)\/(-6) + -5. Suppose 3*a - 2*a = 4*w - 1949, -w + p = -3*a. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 30, 55, 78, 99, 118?\n\"Answer: -l**2 + 30*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*h - 3178 = -106075, 3*h = 3*k - 154368. List the prime factors of k.\nAnswer: 51461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01493092 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 11*q**2 + 11. Calculate the remainder when 18 is divided by r(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -59 - (6 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959395447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/(58\/(-10)). Let i = 6771 + -6771.1. Put -2, g, i in decreasing order.\nAnswer: g, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:08 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 2, l: 1, p: 2, m: 2}. Give prob of sequence vm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -22.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.357429 rounded to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -226, -450, -674?\n\"Answer: -224*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 48*v = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 5. Let j = -5 - x. What is the first derivative of -10*m + 14*m + j - 8*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13*(-2 - 27\/(-12)) + -3. What is the closest to 0.2 in j, -6\/11, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 35*o - 245. Suppose -51*u + 21*u + 210 = 0. Let v be f(u). Solve 8*i - 41 + 9 = v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 6*k + 6. Let y be t(5). Let x = -2 + y. Let b be -2*3*(-15)\/x. What is the highest common divisor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1568 and 53\/26954452?\nAnswer: 1509449312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, -18, -5 in descending order.\nAnswer: 5, -5, -18, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -202, -2 in descending order.\nAnswer: 1, -2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14321.916 minutes to hours.\nAnswer: 238.6986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -43, -29, -1, 47?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/12*h**4 + 0 - 3*h + 0*h**2 + 0*h**3. Let n(x) = -6*x**2. Determine n(v(d)).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7526 divided by -3763\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:29 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -353 + -25.08\nAnswer: -378.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 4.90666.\nAnswer: -117.75984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85309 is divided by 316.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7576 - -7806. Calculate the remainder when k is divided by 94.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r**2 + 84627*r + 2887431 wrt r.\nAnswer: -12*r + 84627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46728.9 - -46729. Which is the fifth smallest value? (a) u (b) -1\/5 (c) -1 (d) -5 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9604 + 858?\nAnswer: -8746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -34 + (16 - 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7 + 3. Suppose g*u = -u. Suppose u = -4*n + 3*n + 4000. Round n to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8690\/280 - (-153 - -184)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1910609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5853, 5897, 6013, 6237, 6605, 7153, 7917?\nAnswer: 8933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 37*m**3 - 4*m - 86*m**3.\nAnswer: -123*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let y = k + -1.5. Sort 5, 3, y in decreasing order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4 - 8*y**3 - 20*y**2 + 56*y - 30 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 395 - 202. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/8 + 37*f**3\/8 + 635*f**2\/8 - 19041*f\/8 - 103455\/4 = 0. Calculate f.\nAnswer: -19, -10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let h(o) be the second derivative of 0 - 2*o + 0*o**2 - 1\/2*o**4 + 0*o**3. What is h(a(t))?\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 - 210*p - 59*p + 2877*p.\nAnswer: -21*p**3 + 2608*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/133980 and 193\/9570.\nAnswer: 133980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -747 and -0.2?\nAnswer: 149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372914.7 millimeters in kilometers?\nAnswer: 0.3729147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:52 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38364 > 38363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6)*6512\/(-1036).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 30*t**3 - 10 - 6173749*t + 6173749*t - 4*t**2 + 3*t**2.\nAnswer: -30*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2161053, -4322108, -6483163?\n\"Answer: -2161055*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/3)*(-10)\/15\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-33) + (-46)\/(-11). Suppose -v + 6*v = 15. Suppose 0 = 3*t + 5*x + 17, -p*t + 2*x = v*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*x = 31, 0*q + 2*q - 4*x = -10. Suppose -4*b + 81 = -3*c, -2*c = -q*b - 3*c + 77. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*j - 3)*(112*j**2 - 197*j**2 - 166*j**2).\nAnswer: -1506*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 222. Let u(x) = 3*x**2 - 1. Calculate u(a(t)).\nAnswer: 147*t**2 - 9324*t + 147851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 150169.5*2.1\nAnswer: 315355.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11.67687 millilitres?\nAnswer: 0.01167687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/54 + w**2\/9 - 10*w. Suppose h(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**5 - 1\/6*m**7 + 0*m**3 + 0 + m + 0*m**6 + 0*m**2 - 13\/12*m**4. Find the third derivative of h(x) wrt x.\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvs when four letters picked without replacement from {r: 2, z: 1, h: 7, v: 3, s: 7}?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -15. Let u = l - -8.1. Which is the biggest value? (a) 2 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 8 = 100 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - 5. Suppose 5*z + h = 92, 3*h + 0*h + 9 = 0. Calculate the remainder when f(-5) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3276 + -3278. Sort 1, -11\/4, f, 4 in descending order.\nAnswer: 4, 1, f, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246827 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 + 16*l**3\/9 - 14*l**2\/9.\nAnswer: -2*l**2*(l - 7)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 6. Let q be n(4). Let x = 0 - q. Sort 2\/9, -4\/3, x in increasing order.\nAnswer: x, -4\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6778\/6*(-30 - -27). Let h = -40601\/12 - m. Let k = 93964\/15 - 6267. What is the common denominator of k and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -10*z + 31. Find the second derivative of -3061*g**3 - 2*g**z - 11*g + 3084*g**3 - 20*g wrt g.\nAnswer: -24*g**2 + 138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5404142?\nAnswer: -5404138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 331*k**3 + k**2 + 298*k + 584. Let p be d(-2). Is -2656 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let s(j) = 486*j + 1. Determine s(v(m)).\nAnswer: 972*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x + 80. Give a(5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -372071?\nAnswer: 2\/372071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 5 + 6 - 13*n + 6*n. What is d(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) 0.002 (c) -13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = t + 4783, t - 21103 = -5*z + 2842. What are the prime factors of z?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i - 70*i = 36*i + 68*i - 45*i. Let l = 21333 - 12010482\/563. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -38. Suppose 26*i + 139 = 1153. Let r = h + i. Calculate the greatest common factor of r and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 84 = -k. List the prime factors of -2*2\/2 + k + 104.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383386610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -2) + -4 + -4 + 17 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 11883025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1d?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3424531.\nAnswer: 11, 17, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7 + 19 = 0. Suppose -2*d - c*z = -37 + 13, -4*d = -2*z - 8. Solve l - 2*u + 3*u = 0, 0 = -d*l + 4*u + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 2, s: 2, l: 1, i: 1}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4 + 2 - 5 - 30*y. Is q(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12134275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 14*a**2 + 3*a - 15. Let d be m(7). Suppose -5*n - 51 = -4*u, u - 3*n = -4*n + 6. Let p = 23 - u. Solve 5*r - d = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*t**3 - 4558*r**3*t**2 - r**3 + 2*r**2*t + 1386*r**2 + 2 wrt t?\nAnswer: 12*r**3*t - 9116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c + (-c + 0*c - c)*(1 + 0 + 1) - 3*c - c + 3*c + 0*c - 5*c + 18*c + (-c + 6*c - 3*c)*(3 + 2 - 2))*(-c**2 - 2*c**2 + c**2).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o + 4*j, -3*j - 15 = 0. Suppose -325 = 3*z + o*a, 0*z + 3*z + 360 = 3*a. Let k = z - -182. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/7 + 114*p**2\/7 - 12672*p\/7 + 36936\/7 = 0.\nAnswer: -114, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 50?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -13. Let d = o + 15.5. Which is the smallest value? (a) -1 (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 72, 57, 36, 9, -24?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmvm when four letters picked without replacement from nfmnvfmnnvmbnnf?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 + -67 + (-22 - -63).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, r: 1, x: 1, s: 1, k: 2}. What is prob of sequence nqkx?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.28 rounded to 1 dp?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**2 + 7. Let h(x) = -7*x**2 + 6. Let a(v) = v**3 - v**2 - 6*v + 2. Let n be a(3). Let l(b) = n*y(b) - 3*h(b). Let t(k) = k**2. Calculate t(l(w)).\nAnswer: 49*w**4 - 56*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26134 - t + 0*t - 2*t + 26134.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 50*b**2 + 150*b + 2. Let w be r(-3). Solve -w*t + 233 = 245 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260.6 - -229.1. What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.09 - 2.08999869. Round o to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14303229 divided by 647?\nAnswer: -22107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-6) + (-1247)\/(-258). Suppose a*x - 3*x = -2*r + 92, 6 = -2*r. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231632, 231664, 231696, 231728, 231760?\nAnswer: 231792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -62 (b) -236327 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 59. Suppose -3*l + 1928 = d*l - 4*k, 3*l = -k + 1150. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33077 - -2203?\nAnswer: 35302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/12)\/(2*(-6)\/288). Suppose -2*k + 1 = q, -4*q - 23 = -f*k + 5*k. Solve k*p + 9 + 3 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 360\/42 - 8\/14. Suppose -h - 3*w + 7*w + 5 = z, -2*h + 30 = 2*w. Sort -2, h, 2, 4 in increasing order.\nAnswer: -2, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99832070 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1204\/154) + 30\/(-165)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 less than 2?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f**2 - 50*f + 17. Let n(o) = -26*o**2 + 17*o - 5. Let v(u) = 4*h(u) + 11*n(u). Is v(-7) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/165 and 163\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 12*w + 22. Let f be h(10). Solve -4*q = -f*l - 14, -5*l + 0*q - 17 = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 35805 = -8*q. Let o be (-2)\/(-5) + q\/(-15). Is o\/3*1\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a + 1\/72*a**4 - 1 + 0*a**5 - 1\/2*a**2 + 0*a**3 - 1\/360*a**6. Let h(k) be the second derivative of d(k). Factor h(n).\nAnswer: -n*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -634752*k - 15234044. Calculate g(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 927555702 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(30)\/(1*sqrt(2)) + 1*sqrt(135) + sqrt(135))\/(sqrt(50)\/(sqrt(40)\/sqrt(64))))**2 + -1.\nAnswer: 83\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t + 1. Let q(v) = 7*v. Let j(h) = 2*d(h) - q(h). Suppose 2*m = 7*m - 30. Let w be j(m). Solve -u + w = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 0 - (23\/(-1) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167\/4 + 1\/4 is divided by (-13)\/(-1) + (-12 - -4 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-3 + 4)*-1). Let y(d) be the third derivative of d**5\/60 - 5*d**4\/24 - 4*d**3\/3 + 23*d**2. What is the units digit of y(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.073 - 22.873. Let t = 23 + o. Are 0 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7503 + 13466 = 267*r - 3862 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:48 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118307?\nAnswer: 1097, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {b: 1, y: 1, a: 2, m: 1, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20*-1*63\/(-15) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 2*z - 2. Let k(d) be the first derivative of d**4\/4 + d**3\/3 - d**2\/2 - d + 18. Calculate -2*k(a) + m(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {z: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 2*g - 11*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4602 (b) 0.4 (c) -85\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.773 centuries to decades.\nAnswer: 867.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 279941? (a) -1 (b) -2\/3 (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 16\/3*y**3 - 3\/2*y**2 + 37 + 6*y. List the prime factors of s(3).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17551 is divided by 1347.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-11)*162987\/(-5388) - 36.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4355 and -61\/151106306.\nAnswer: 755531530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -524*j*k*y**3 + 2*j*k*y**2 - 635*j*o*y - j*o - 10*j*y**3 + 3*k*o*y - 4*y**3 with respect to k.\nAnswer: -524*j*y**3 + 2*j*y**2 + 3*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*z + 58092, 0 = -5*b - 2*z + 45093 + 27549. List the prime factors of b.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(14)\/sqrt(7) + sqrt(2))**2 + 4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1515707 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmzz when four letters picked without replacement from {m: 6, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1820 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(20\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 323 - 336. What is the smallest value in 2\/15, -4, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u + 236. Calculate the remainder when 375 is divided by n(-21).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*s + 34118 = 101052 for s.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25734\/3859 + -14081561\/4098258. Let w = l + 160\/59. Let q = 787 + -1535\/2. Calculate the common denominator of q and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let j(d) = -308*d - 7. Let v(z) = 2*c(z) - j(z). Let x be v(3). Let u be (2 + 5)*(-5 + x\/35). What is the greatest common factor of 60 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243212 (base 9) in base 5?\nAnswer: 14143302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*1193935\nAnswer: 4775740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238671002, -238671001, -238671000?\nAnswer: -238670999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117) + -5 + -2 + (-6*(sqrt(65) - (sqrt(65)*-2 + sqrt(65))))\/(-6*sqrt(15)\/sqrt(3)))**2.\nAnswer: 14*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g - 23. Suppose 3*u - 2 + 4 = 2*r, -2*u - r + 8 = 0. Put -5, g, u in ascending order.\nAnswer: -5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -186*o - 870. Calculate q(-2).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q**2. Let f(m) = 2*m + 1. Let t(l) = 3*l**2 - 24*l - 12. Let a(u) = -12*f(u) - t(u). Give a(c(x)).\nAnswer: -363*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10100001110?\nAnswer: -10100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-122)\/(-66) + (-4)\/6 and 1\/(-9)*(-21 + 5064\/256).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7472 by 19687.\nAnswer: -7472\/19687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5260376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.69? (a) -2\/9 (b) 24 (c) -1111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2312 - 1092 - 1221 + 47*v. Let a(l) = 1. Calculate -a(j) - d(j).\nAnswer: -47*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -880 - 47?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 5*q**2 + 2*q. Suppose z - 15 = 2*u - 1, 0 = u - 2*z + 13. Let a be g(u). What is the lowest common multiple of 6 and 5\/a - 50\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 92, 104, 116, 128, 140, 152?\n\"Answer: 12*o + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2080 and 36?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(-2) + 1694\/(52 - -25).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 21*a**2\/2 + 3*a + 3. Suppose -2*l = 4*s - 18, -28*l = 3*s - 31*l - 9. What is the units digit of f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2. Let d(x) be the first derivative of 0*x - 4\/3*x**3 + 0*x**2 + 114. Give u(d(i)).\nAnswer: 112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(52) + sqrt(13) + 0)*2 - -2*(1 + sqrt(1573) - sqrt(1573)))**2*5.\nAnswer: 160*sqrt(13) + 4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/25*5 - 19\/((-190)\/(-420)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/55 and -61\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -34, -116, -272, -526?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215106, -215111, -215118, -215127, -215138, -215151?\nAnswer: -215166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*l*q**3 + 131*l*q**2 - 3*l*q + 15*l + 280*q**3 - 4268*q**2 - 1 with respect to l.\nAnswer: -35*q**3 + 131*q**2 - 3*q + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/89 and 99\/2426.\nAnswer: 215914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.227 - 19.3.\nAnswer: -19.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209842 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(-2196)\/13176*3\/(-28)\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*693\/(814\/(-74))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 458. Give p(-155).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (1 + 0)*-11. Suppose -q + 18 = 5*p, q + 3*p = b - 1. Let r = 7 + q. Solve s = -r*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/2 - 2\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -7.1. What is the third smallest value in 1, -1\/12, j, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-31)\/12 - 6\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 32, 64, 114, 188, 292, 432, 614?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 divided by 5?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.027 - 3.067. Let p = t + 0.04. Let l = p - -4. Is 0 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3098097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 20*n**3 + 6*n + 26. Let m(k) = 41*k**3 + 13*k + 53. Let i(p) = 6*m(p) - 13*o(p). What is the derivative of i(g) wrt g?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 12\/23788781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozz when four letters picked without replacement from {o: 2, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 5. Suppose 5*v - 5*k = 10, 0 = k - 0*k - 1. Suppose 0 = -4*u - 8, -3*u + 7 = -v*r + 1. Calculate n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 3. Let w be (-90)\/120*(-16)\/6. Which is the smallest value? (a) 2\/13 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:58 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17369, -34387, -51405?\n\"Answer: -17018*g - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.271635448 + 0.5?\nAnswer: 0.228364552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216.08 - -240. Let k = -24 + a. Put k, 3, -4 in ascending order.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -8 (c) -1\/5 (d) 3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d. Let u(z) be the first derivative of 0*z**2 + 0*z + 25 - 2\/3*z**3. Give x(u(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - (14 + 14 + 7 + -37 + 8).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 4*w**2 - 28*w + 27*w.\nAnswer: -8*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0.103, 26\/3, -5 in decreasing order.\nAnswer: 26\/3, 0.11, 0.103, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 884496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2038915761110 and 0.01?\nAnswer: 2038915761110.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7*c = 5*u - 302, -5*c = -5*u + 290. Suppose 48*d - 28*d = u. Let w be 2 - 0\/(-2) - -1. Solve 0 = -l + w, d*n = 2*n + 3*l - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26.89 in 3, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 104.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9970*y + 4954. List the prime factors of x(6).\nAnswer: 2, 139, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-336)\/(-54) - 34\/(-9). Solve o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -10479?\nAnswer: 1\/10479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by ((-1)\/((-2)\/150))\/(-100 + 101)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:00 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - 27. Suppose 5*q = 4*d + 45, -d = q - 0*d. Suppose 0 = -4*x - 12, -q*x = 2*h + 3 - 4. Calculate the highest common factor of s and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 6*y - 6. Suppose 10 = 2*k - 0*k. Let w be t(k). What is the units digit of 18 - -2*w\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 2*d - 59, 485*d - 1698 - 5831 - 5571 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*w - w + 2*x, -6 = -2*w - 5*x. Suppose -2*q - 5*u - 5 = 0, -1 = 5*q - w*u - 4. Suppose q = 3*p + 2*p - 460. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in -1\/5, -3\/11, 1.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 15 = r, 4*c + 4*r = 0. Find the second derivative of 10 + 2*z**c - 4 - 2*z - 6 wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -21*x + 6. What is y(-13)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 5, 0.12, -1\/2, -1867?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 55*k**3 - 74*k**3 + 132*k**3 - 52.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (3 - (-15 + 5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 980*i - 8003 wrt i.\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 15) + 50 + -48\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*q = -8, -4*v + 94*q = 98*q - 20. Sort v, 15\/2, -40, -1\/2 in decreasing order.\nAnswer: 15\/2, -1\/2, v, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8086 - -8090. Sort 7, 0, -4, -2, w in ascending order.\nAnswer: -4, -2, 0, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8894 - -18199. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2370860?\nAnswer: 2, 5, 118543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-445)\/56 - (-78)\/1092 - -8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-22)*924\/56. Let s(f) = f**2 - 3*f - 9. Let h be s(8). Is h less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from mtxtttttmxxtx?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*t + 264 = -225*t. Solve 3*h = t*h + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.963307 or -17?\nAnswer: -0.963307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 356000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.174 plus 0.47?\nAnswer: 1.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 54 = -2*q, n + 7 = 4. Suppose t + 51 = -2*s, -4*t - 65 = 2*s - 11. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11535770*u + 7914964?\nAnswer: -11535770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/41)\/(w*w**(-2\/5)))**(-2\/31)*(w*w*w\/w**14*w**(-11))**(-28) assuming w is positive.\nAnswer: w**(3914946\/6355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -196\/5 - 4\/5*g**2 + 56\/5*g = 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 32892759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w**2 - 4*w**2 + 2*w**2)*(1 - 1 + w) - 1 + 1 + w**3)*(-56*w**2 + 31*w**2 + 30*w**2).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1581 * -0.28.\nAnswer: 442.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 431566 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 7. Let q(u) = -13*u + 20. Give 17*l(p) + 6*q(p).\nAnswer: -61*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 109 + (47 - (102 + -22))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 1\/84*n**7 - n**2 + 5\/96*n**4 - 1\/12*n**3 - 1\/48*n**6 - 1\/448*n**8 + 0 + 0*n**5 + 0*n. Solve h(u) = 0 for u.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8 + 96*j - 192*j + 7 + 92*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -0.1. Let j = w - -1.4. Suppose -3*x - 5*n + 31 = 0, -3*n + 33 = 4*x + 2*n. What is the third biggest value in j, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100900 divided by -2\nAnswer: 50450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-20)\/(-15)*-2. Let c = -301\/22 + 68\/11. Is y greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.255 milligrams to kilograms.\nAnswer: 0.000066255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190915595 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-1)\/(-4) + (8 - (-315)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/283, -5\/12, -5 in ascending order.\nAnswer: -5, -5\/12, -1\/283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504 is divided by 102.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*j + 4*j = 7, -5*j - 32 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-4))\/((-5)\/20). Let c(u) = 99*u - 2. What is the units digit of c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.9 * 43.\nAnswer: 769.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18))**(2\/115) assuming s is positive.\nAnswer: s**(-36\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13280?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68488*a + 34237*a + 34265*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 4*g - 4*g - g + 3*g + (-1 - 3 + 3)*(1 + 2*g - 1) + g - 3*g + g + 2 - 3*g - 6*g + 6*g - 2 + g + 2)*(0*g + 0*g + 8*g**2).\nAnswer: -48*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-20)*x*x**10 assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27130 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/f**0*f*f)**5*(f**(-3)\/f)**(-2\/83) assuming f is positive.\nAnswer: f**(2083\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(1\/7))\/(p*p*p\/(((p\/(p*p**(-1))*p)\/p)\/p))*p**(1\/6)\/((p\/((p*p\/p**1)\/p)*p)\/p)*((p**(-4))**37)**(-10\/11) assuming p is positive.\nAnswer: p**(61247\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/5 + 42*b**3\/5 - 349*b**2\/5 - 1932*b\/5 - 2116\/5 = 0 for b.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, j: 2, g: 1}. What is prob of picking 3 q?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 205 = 5*x + 8*v, 123 = 3*x + 4*v. Suppose 2*m - 6*m - 12 = 0, -27 = -3*g - 5*m. Calculate the remainder when x is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - (-50)\/4. Let o = -295 - 420. Let v = o - -721. What is the greatest common factor of v and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*y + 111, 98 - 11 = 3*y - 3*m. Suppose -57*a = -56*a - y. What is the remainder when 110 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -786a1 - 10?\nAnswer: -78701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13214 is divided by 110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -7*l**5\/30 + 3*l**4\/4 - 2*l**3\/3 + 31*l**2. Determine i so that q(i) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (18 + -16 + -24 - (-6 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*z**2 + 0*z**2 + 0*z**2)*(2 - 2 + 2*z**2 + (-4 + 2 + 3)*(-2*z**2 + z**2 + 2*z**2)).\nAnswer: -153*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6be - -621?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5 + 100*k**4\/3 - 436*k**3\/3 + 728*k**2\/3 - 518*k\/3 + 44 = 0.\nAnswer: 2\/3, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3\/1 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48b3 (base 15) in base 16?\nAnswer: -3c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443 - 105?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -67, -64, -59, -52, -43, -32?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2479.08401 - 2479. What is t rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3530, 7059, 10586, 14111, 17634, 21155, 24674?\nAnswer: 28191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let j(t) = t**3 + 4*t**2 + 4*t + 12. Let v be j(-4). Let m be v - (1 + -2)\/(5\/25). Sort -5, f, m, 5.\nAnswer: -5, m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 0.027283.\nAnswer: -0.0300113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/10 + b**4\/10 - 3*b**3\/5 - 2*b**2\/5 + 4*b\/5 = 0. Calculate b.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005086 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2334632738.\nAnswer: 11673163690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12311, -24614, -36915, -49214, -61511, -73806?\nAnswer: -86099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/54 - (-1)\/(-2))*-4. Solve c*t = 3*k + 19, k + 18 = -3*k - 2*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 8 = -33*l + 36*l, -10 = -2*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181405, 181493, 181639, 181843, 182105, 182425, 182803?\nAnswer: 183239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022023.\nAnswer: 17, 79, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 43*y - 79*y - 178 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-490137)\/(-42) - 2*-1. Let k = -11664 + g. What is the common denominator of k and 2 - ((-185)\/30 + 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7439121 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21572213171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46265465 divided by 2\nAnswer: 46265465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -11 + 20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1278*k + 3756*k + 1222*k + 4192*k.\nAnswer: 10448*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -113557024 divided by 28389256\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**7\/315 - a**6\/2520 - a**5\/210 - a**4\/12 + a. Let n(w) be the third derivative of d(w). Factor n(m).\nAnswer: 2*(4*m + 1)*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 - j + 4*j**4 - 9*j - 2 + 8*j + 2*j**3 to the form l*j**3 + r + s*j**4 + w*j**2 + c*j and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p**2 + 3. Suppose 5*j = 5*m + 2*j + 30, 3*j = m + 6. What is the least common multiple of g(3) and (4\/m)\/(10\/(-165))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*p - 8, 20 = 2*l + 3*l + 4*p. Suppose -x = l*b - 16, b + x = 2*x - 1. Let w(u) = -b*u + 4*u + u. Let n(g) = g. Determine n(w(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -15. Let g(x) be the first derivative of 7 - 10*x + 3*x + f*x - 2*x**2. What is g(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3795, -7388, -10981, -14574, -18167?\n\"Answer: -3593*y - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3049 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61452 divided by 1707.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2800*c**2 - 9151*c - 1469*c**2 + 2500*c**2 + 9151*c in the form z*c + i + u*c**2 and give u.\nAnswer: 3831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n - 1. Let a be y(1). Let g = 46 + a. Let w = -11 + g. 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 n(x) = -2*x - 19. Determine n(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 67\/2, 4 in descending order.\nAnswer: 67\/2, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/3)\/(21\/(-354690))?\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*h - 20 - 20 = 0, 5*i - 4*h = -39. Let q = 16 + i. Suppose m - q = 10. Calculate the highest common divisor of m and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 14155 = -124*r + 52*r. Which is smaller: -730 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 14.2. Let d = -0.2 + p. Which is the nearest to d? (a) -3 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397376, -398837, -401272, -404681, -409064?\nAnswer: -414421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 12b?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 2*g**4 + 2*g**4 + (3*g + g**3 - 3*g)*(1 + g - 1) + g**4 - 5*g**4 - 9*g**4 + 7373*g**2 - 137*g**4 - 7373*g**2.\nAnswer: -151*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r + 18. Suppose 4*q = -16, -503 = -k - 0*q + r*q. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctt when three letters picked without replacement from {c: 6, t: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {u: 5, l: 3, p: 5, d: 6, n: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 34643 + 34641 + 88*f + 22*f.\nAnswer: 107*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 4*c - 6*c + 3*c - c - 3*c + (-2*c + 3*c + 0*c)*(-6 + 2 + 3) - 545 + 545 - 304*c.\nAnswer: -313*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1044084*m**2 - 1044068*m + 16.\nAnswer: -4*(m + 1)*(261021*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20 + 7)\/(-143)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 12) in base 7?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (2 - ((13 - 15) + (7 - 2) + 6))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 - 111 = -56*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tggg when four letters picked without replacement from {t: 5, g: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1 (c) 0.24 (d) 3\/8 (e) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/17 + 188*o\/17 + 4418\/17 = 0. Calculate o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-17 - -20)) + (-1 - 8) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o + 39 + 116 = 5*n, 10*n - 3*o - 13 - 27 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 383, 378, 373, 368?\n\"Answer: -5*z + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 13*w**2 - 27*w - 26. Calculate s(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1057, 4005, 8913, 15775, 24585, 35337, 48025?\n\"Answer: -s**3 + 986*s**2 - 3*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 bigger than 420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 - 1172\/(-13). Suppose 4*y = 14*y + w. Let o be (6\/4)\/(y\/(-24)). Solve 0 = 4*c - o - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*b + 16. Let i be 1\/(-2*b\/(-18)). Calculate the greatest common factor of 21 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 874 divide 54461048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-20)*i*i**28*i assuming i is positive.\nAnswer: i**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - h + 1. Let u(p) = 4*p**2 + 10*p - 10. Give -10*n(w) - u(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + q - 9, 3*w - 363 = -2*q - 366 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 21 - 4 - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -856 - -930.7. Let z = i - 75. Let x = -1 - -2. Which is the second smallest value? (a) x (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let y = 6 - 2. Let b = y + 1. Sort b, q, -3 in increasing order.\nAnswer: -3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189\/(-36)*40\/(-3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4013 + -4013.06. Which is the nearest to -0.1? (a) v (b) 2\/5 (c) -4 (d) 425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 436 (c) 36 (d) 1.1 (e) -2 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/5))**(-12\/5))**(-40) assuming d is positive.\nAnswer: d**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837 (base 13) in base 12?\nAnswer: -20b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -274 and 2714.\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8550003, 17100004, 25650005, 34200006?\nAnswer: 42750007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttututtt. Give prob of picking 2 t.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-3 - (4 + 80\/(-12)))*-1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3192617 divided by 4.\nAnswer: -3192617\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35681, -285203, -962477, -2281379, -4455785, -7699571, -12226613?\nAnswer: -18250787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 466. Let b(g) = 8*g - 419. Let c(k) = -10*b(k) - 9*l(k). Let w(n) = -n. Determine c(v) - 2*w(v).\nAnswer: 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 8*u**3 + 4*u**2 - 8*u = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4559250 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-3)*18704\/(-16366).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 3*r + 6. Determine v(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39*(0*6\/18 - 1\/(-3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1278 rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k**4)**(-1\/42)*((k**(1\/4))**(-1\/3))**(-22\/5) assuming k is positive.\nAnswer: k**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114056*z**3 - z**2 - 4003?\nAnswer: -342168*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. What is the least common multiple of q and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1001011?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6734622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - r**2 + r. Let a be u(1). Suppose 5*k = a*k - 9. Is (-2)\/(k*2\/609) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51 - 0.5. Let n = 2.3 - 1.8. Sort x, n, 5.\nAnswer: x, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6637675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/49, -0.2, 0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Let l = -6\/107 + 1\/1926. Which is bigger: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let a(u) = -u - 6. Let n(f) = 2. Let m(p) = -4*a(p) - 11*n(p). Determine m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8.04. Let o = 0.03996 - c. Round o to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4991, -9454, -13915, -18374, -22831?\n\"Answer: l**2 - 4466*l - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 + 188. Which is the closest to -1\/3? (a) i (b) -5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 - (-909)\/(-5 + 14) is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001328310772 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -3. Let t(r) = -1 - 6*r + 1. Let w(l) = -5*l. Let v(i) = z*t(i) + 5*w(i). Let y(x) = 2*x**2. What is y(v(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 21 + -23 + 33 + -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67593 and 4.\nAnswer: -67589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let q = 116 - 136. What are the prime factors of (-284)\/q + h\/(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -873*k + 54122. What is g(62)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + 4) - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, l: 3, d: 5, v: 4}. Give prob of sequence dx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*v = 39, 10*v = -3*i - 27 + 102 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {u: 4, y: 5, b: 2, z: 4, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3, e: 2, t: 3, i: 1}. What is prob of picking 1 t and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yinyiniuiimimimm. What is prob of sequence iyun?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 + 5*m - 4. Let d be a(1). Let h be 80\/d*(-5508)\/(-270). What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64093.0236 + -63974. Let h = j + -119. Round h to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or -1229?\nAnswer: -1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a9 + 35787?\nAnswer: 33589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1415 = -5*o, 1167 = 4*r - 54*o + 57*o. Suppose 0 = r*n - 287*n - 4. Solve -3*p = -2*i + 9, 4*p - n*i = -5*i - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -0.0711?\nAnswer: -4.9289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186428.8295 - 189010.1. Let f = -2582 - o. Round f to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 750, 1112, 1474?\nAnswer: 1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 24. Calculate the remainder when 38 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 12*k**2 - k - 14. Let v be b(-12). Let r(y) = -5*y**3 - y**2 + 2*y + 1. Let u be r(v). Is 33 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1053) + 2 + ((sqrt(1053) - -4*sqrt(1053)) + sqrt(1053))*4 + -4)**2.\nAnswer: 1350*sqrt(13) + 658134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/189 - -164\/189. Factor -2\/7 - k*y**2 - 6\/7*y - 2\/7*y**3.\nAnswer: -2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1200\/(-45))\/(-20))\/(3*20\/(-315))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00159789 to 5 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r + 3. Determine p(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 2*v**2 + 17*v - 7. Give s(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n + 36 = -4*c + 49*n, 3*c + 5*n = -31 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280952 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 10*n + 21. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**6*s)\/(s*s**(-1\/6)))**(-13\/4))**(-1\/14))**32 assuming s is positive.\nAnswer: s**(962\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7028 = -24*k + 31*k. Let m = -581 + k. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -27, -15, -1?\n\"Answer: z**2 + 7*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15557 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*i + 116*i + 3*i**2 - 368*i + 280*i to l + r*i + x*i**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**2 - 6*w**2 - w**2 + 11*w**4 wrt w.\nAnswer: 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 15. Let d(j) = -j**2 + 4*j. Let n(m) = 9*m**2 - 42*m. Let l(z) = 21*d(z) + 2*n(z). What is s(l(c))?\nAnswer: -9*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -194, -428, -756, -1226, -1886, -2784, -3968?\n\"Answer: -8*f**3 + f**2 - 181*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.019 - -0.011. Sort -5, g, 4 in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z**2 - 31*z - 5. Let w be k(-2). What is the remainder when 118 is divided by (w\/(-3))\/((4\/204)\/(-1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396797669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + 295. Let n = m - 144. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.899 + -0.9. Let o = 1.199 - z. Put 3, o, -1 in descending order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:08 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 3*t + 4. Let x be n(-3). Suppose x*w = 5*r - 68, -3*w + 51 = 3*r - 2*w. Calculate the remainder when 31 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-92)\/16 - 1\/4. Is 3 a factor of (-15)\/6*d\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-13182)\/(-338).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.534 rounded to one dp?\nAnswer: 127.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 8*z + 8. Let j(g) = 12*g**2 - 8*g + 9. Let f(r) = 2*j(r) - 3*n(r). Let b be f(6). Let a = b + 3672\/13. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 4, -9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:56 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29098260 to the nearest ten thousand.\nAnswer: -29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -66 + 16. Suppose -i + x*w + 2 = -11, w + 5 = 0. Let a(y) = -7*y - 24. What is the remainder when a(i) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 35 - 70 = -2*p, -5*p = 2*v - 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -30013?\nAnswer: -23312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*y + 5372 = 5374, 5*o + y = 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 106 - 112 + d - d. Let j(n) = -n**2 - 5. Calculate -5*i(v) + 6*j(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*d - 143 + 57 - 101 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + 0 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -5*q - 18*l, -4*q - 4*l - 1789 = -1741 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*v - 16 = 0, 4*v = -4*u - 29 + 5. Let w(s) = 4*s + 8. Determine w(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7160 and -125\/36.\nAnswer: 64440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663106 rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*10\/(-36 + 16). Which is the nearest to -60? (a) -3\/8 (b) 5 (c) 0.4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 0)*(-1 + 0 + 2)*(4 - 3 + 1) - 13 - 72 - 133)*(-b**2 + 0*b + 0*b).\nAnswer: 214*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 1:45 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) -0.1 (b) -1 (c) -2 (d) 28 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 91 = -k, -k + 20 = 3*k. Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12345*j. Let b(p) = 39*p - 1. Determine n(b(y)).\nAnswer: -481455*y + 12345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -50753.66366 to 0 dps.\nAnswer: -50754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*w + 148007 + 184278 + 133816. Does 77 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(11\/((-198)\/(-12)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 + o - 1. Let d be q(1). Suppose 0*z - d = z. Let p = 68 - 68.1. Which is the closest to -1? (a) z (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2566*s**2 + 890*s**2 + 1276*s**2.\nAnswer: -400*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*b - 1037*b**3 - 61*b - 1309*b**3 - 174*b**3.\nAnswer: -2520*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*y + 14. Suppose -y*o + 5*h + 45 = 0, o = -h + 24 - 5. What is the smallest common multiple of 11 + ((-4)\/6)\/((-14)\/(-21)) and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/4*50\/(-110)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/286*48\/12*-1?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {m: 3, u: 1, k: 8, i: 1, s: 6}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 12, p: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 14, k: 1, y: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-44))\/((-1078)\/(-592900)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13919952 + -13919951.91460743. Let m = -0.0854 + n. Round m to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592 - -598. Sort 0, j, -7 in decreasing order.\nAnswer: j, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 16) in base 4?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**8\/100800 + a**7\/5040 + a**6\/900 - a**5\/4 - a**2. Let m(f) be the third derivative of d(f). Factor m(w).\nAnswer: (w + 1)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 2. Determine x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3298745 is divided by 964?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115829953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a + -163?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4183\/6 + -697. Which is the closest to 3\/19? (a) 4\/7 (b) -0.5 (c) q (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/9 - (-344)\/6. Which is smaller: s or 58?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6539 + -6539.4. What is the nearest to 2\/5 in 2\/263, -1\/4, o, -1?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/11 - 2008888*o**2\/11 + 164738902*o\/11 - 3377216412\/11 = 0. What is o?\nAnswer: -1004526, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.107 - 0.227. Let m = -0.77 - z. Let s = 1.07 + m. Round s to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.06232\nAnswer: -0.3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - 223. Let k = w + 125. Let s = -107.2 - k. What is s rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) + -2*sqrt(6300) - sqrt(6300))\/(-5*(sqrt(81) - sqrt(9))) + (-2 + -3*sqrt(7) - -1*(sqrt(7) + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szss. What is prob of sequence ssz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4515 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14301?\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 2. Let z be t(0). Suppose -w - h + 14 = 0, w + z*h - 13 = 2. Calculate the least common multiple of 9 and w.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 34. Suppose m*f - 9*f = 0. Suppose -k = -3, -4*l + f*k = k + 13. What is the second biggest value in -2\/9, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -1403, -3157, -5613?\nAnswer: -8771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -878\/5 - -1414\/15. Let u = 82 + h. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165147400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*c + 9 = -0*c, 0 = -2*c + 8. Is 0 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 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 units digit of 4120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -747440 (base 8) to base 14\nAnswer: -66d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 109499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5))\/sqrt(5) + -5 + -6*(sqrt(105)\/sqrt(5))\/sqrt(7).\nAnswer: -5*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11 = 1. Let z = -83 - -55. Let b be (-1)\/3 - z\/12. What is the third biggest value in 3, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4, 5*z + 0*d + 3*d - 23 = 0. Suppose -3*b = -4*m + 43, m + 0*b = -z*b + 6. What is the lowest common multiple of 3 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.28 rounded to 0 decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -312.086?\nAnswer: -315.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96676757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2798 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j. Determine d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 27*i + 16. Let y be (201\/9)\/(4\/(-48)*i). Is y bigger than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjajjjjjjjj. Give prob of sequence ajjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*b + 153 + 64. Solve -3*f - 2*z - b = 0, 5*z - 22 = -f - 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:42 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-12) - 59\/177. Put 1\/5, t, 6\/11, -5 in increasing order.\nAnswer: -5, 1\/5, t, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/2))**(-1))**(-42)\/(c**(-5)\/c*c**11\/c*c)**22 assuming c is positive.\nAnswer: c**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (64 - 67) + (9 - 0) - -25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53101 = 3311*c + 23683 - 10564 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -14.9. Which is the nearest to i? (a) 3 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73440683*n**2 - n - 656347988.\nAnswer: 146881366*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3772 - 3774. Which is the closest to 1? (a) 0.04 (b) -0.5 (c) u (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 0 + 3)*(24 - 24 - 7*g)*(-1 - 5 - 1).\nAnswer: 1274*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -k - 0*k. Suppose 3*r - 13*w - 52 = -9*w, 4*w = -r + 44. List the prime factors of ((-90)\/r)\/((-6)\/k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkkdfkkkkffkkkd. What is prob of sequence kd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -5 - 3610\/(-855). Let g = 12 - 8. Suppose 20 = 2*c - 5*t, 0 = -5*c - g*t - 9 + 26. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 9 = -17*y. Suppose 6 = 2*u, -7070 = -5*z + y*u - 1779. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34215, 34210, 34203, 34194, 34183?\nAnswer: 34170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 7. Let k = a - -25. Solve 3*h = -0*h - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 492 and 246?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j. Suppose j = -5*a - 0*z - 2*z + 315, -4*a - 3*z = -245. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 18. Let g(q) = 4*q + 73. Let m(d) = -2*g(d) - 9*w(d). Does 28 divide m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2*y**5\/5 + 2*y**3\/3 - 4. Suppose f(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = 3*w. Let j be (-2)\/(-2 + w + 1). Let m(q) be the second derivative of q**2\/2 - q. Let t(h) = -h + 2. Give j*t(r) - m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2865)\/(-21010)*11\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10109, -20079, -29795, -39131, -47961, -56159, -63599?\nAnswer: -70155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 580824 and 10899.\nAnswer: 591723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 92.7877 seconds?\nAnswer: 92787700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 - 4368*v**3 - 17655*v**2 + 197100*v = 0 for v.\nAnswer: -9, 0, 5, 1460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3161 divided by -75.\nAnswer: -3161\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -846445, -1692863, -2539281?\n\"Answer: -846418*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4) - 0\/2. Suppose 4*a = 3*a - 3. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*j + 7*v + 772, 5*v = -4*j + 1050. Suppose 76 = 24*z - j. Solve -4*t + 9*t = 2*g - 11, t = -5*g + z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15779195?\nAnswer: 5, 3155839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 9}. What is prob of sequence ttff?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -88, -0.1, -4214, -4 in ascending order.\nAnswer: -4214, -88, -4, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 - -349. Suppose 0*w = w - n. Suppose 5*s + s - w = 0. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1329\/(-14176))\/((-2)\/264)*(-4)\/(-3))\/3.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 110*m + 43*m - 7888 = -7036 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -30. Let v = -14 - j. Solve -4 = -v*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuffqffqfwq. Give prob of picking 2 u, 1 q, and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4, -2\/73, -12?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 269, 266, 259, 248?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 7 + 8 - 15 to v*u + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/7)))**(-12) assuming p is positive.\nAnswer: p**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0529*-120.907\nAnswer: -6.3959803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5, 1, 19672, 5 in descending order.\nAnswer: 19672, 5, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*u = -16, x + u + 3*u + 11 = 0. What are the prime factors of 5 - (x + 1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11 = -4*k + 2, -3*k + 26 = 2*p. Let l = p - 1. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -4, -0.069, -0.77, 0 in descending order.\nAnswer: 0, -0.069, -0.77, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 - 6*s - 4. Suppose 1 = 2*q - 9. Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 11533669?\nAnswer: 92269352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 3 - 3. Let i(o) be the first derivative of o**4\/12 + 21*o + 18. Let f(q) be the first derivative of i(q). What is u(f(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -8*l - 1350. Let z be l\/195*(-30)\/1. What is the greatest common factor of z and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -39 - (13 - (215 + -111)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 a factor of 264019059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208722 is divided by 3022?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6816 + 9132. Is 81 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*a + 8*a**2 - 3 + 18*a**2 - 5*a - 2*a**2 - 2*a**2 to p*a**2 + o*a + g and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3 + d - d**4 + 1\/3*d**3 + d**2. What is the lowest common multiple of p(-1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18250, 36500, 54750, 73000, 91250?\n\"Answer: 18250*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*n. Let r(x) = 3 + 6*x**2 + x**3 - 4*x + 5*x - 2*x**n. Give r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 76*f**2 + 855*f - 206. Let u be h(-86). Solve -215 = 9*r - u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30 and -14\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265*x**3 - x**2 - 79*x?\nAnswer: -1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*c**5 + 116*c**5 - 62*c**5 + (c**4 + 1 - 1)*(-c + c + c) - 388*c**5 + 229*c**5 + 248*c**5.\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 342?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102022220 (base 3) in base 2?\nAnswer: 10000001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w - 7*w + 3*w to j + i*w and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27875, -111542, -250991, -446222, -697235?\n\"Answer: -27891*y**2 + 6*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5956, -5954, -5938, -5902, -5840?\nAnswer: -5746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3 - 0)*1. Let p be (j + -2)\/((-8)\/112). Let q = 6 + p. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3705*c + 6787566. Calculate n(-1832).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*o = o + 20, 4*f + 28 = 5*o. Suppose 5*l = -2*c - 15, -c + 3*l = 4*c - 9. Put f, -3, c in increasing order.\nAnswer: -3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 287, 285, 283, 281, 279?\n\"Answer: -2*z + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 4, q: 12}. What is prob of sequence qp?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591036 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y - 19. Let s(b) = -4*b - 9. Let t(q) = 6*f(q) - 13*s(q). Give t(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1781b3 (base 14) to base 4.\nAnswer: -3022121301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 16*d = -7. Sort d, 1, -19 in ascending order.\nAnswer: -19, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89445, -89512, -89569, -89610, -89629, -89620?\n\"Answer: o**3 - o**2 - 71*o - 89374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**11*a*a\/(a\/(a\/((a*a**(-4\/5))\/a))))\/(a**(-3)\/a**15) assuming a is positive.\nAnswer: a**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.2. Suppose 556*v + 293*v = 231*v + 1236. Let u be 10\/(-6)*2\/5. What is the second biggest value in v, u, 4\/5, s?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 45*f - 20. Suppose 8*l + j + 24 = 10*l, 5*l = 3*j + 60. Is 26 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**6\/10 - 3*b**5\/5 - 3*b**4\/2 - 2*b**3 - 3*b**2\/2 + 10*b. Let l(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1334515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - 27*c - 16*c + 43*c.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -908290\/1533 and -592 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2665 = -3*v, 2*g + 0 - 4 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:12 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 + 0.3. Let g = 4.2000041 - n. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 468977.4 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1 + -2*sqrt(117) + sqrt(117))**2 + 1*(2 + sqrt(117)).\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8073 - 39678 = 15*n. Let u = n - -3681. List the prime factors of u.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/24 + 1821*f**2. Let j(k) = 6*k - 19. What is j(u) + 5*n(u)?\nAnswer: u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -8, 45, 162, 367?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + -3. Let u = m - 0.2. Let v = -4.13 + 4.43. Put v, u, 0 in ascending order.\nAnswer: u, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 + 202 = -105*h - 670. Put -114, 6, h in ascending order.\nAnswer: -114, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 77, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1091 + 1808. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from {k: 1, d: 4, b: 6, g: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 11. Let d be s(-9). Let p(w) = 0*w**3 - w - 5*w**3 - 8*w**d + 4*w**3. What is the smallest common multiple of 20 and p(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i + 71*i**2 + 24*i + (-4*i + 3*i + 0*i)*(-5 + 2*i + 5) to u + q*i**2 + t*i and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658039, -1316054, -1974069, -2632084, -3290099, -3948114?\nAnswer: -4606129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(-5*sqrt(180)))**2*-2 + ((sqrt(38)\/(sqrt(16)\/sqrt(8)))**2 - -2*(sqrt(171))**2).\nAnswer: 162431\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 24. Suppose -18*q + 224 = 14*q. Let j be l(q). Solve -j*x - 9 + 21 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23711399\/8 or 2963924?\nAnswer: 23711399\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 106*x**3\/3 + 971*x**2 - 5512*x\/3 + 2704\/3.\nAnswer: (x - 52)**2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-11 - (40*-3)\/12)*1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3 + 993*v**2 - 4890*v = 0?\nAnswer: 0, 5, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/18*591\/(-394).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0*y + y)*(-5*y - 16*y - 3*y) to the form j + z*y + v*y**2 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 4*g - 6. Suppose 0 = 2*y + 3*y + 4*a - 65, 5*a - 7 = 2*y. Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 - v + 146. Let f(d) = 1773*d**2. Calculate f(b(s)).\nAnswer: 1773*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p - 20*p + 5*p + 7*p. Let f be 42\/(-7) + (-48)\/8*1. Calculate s(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16 and (1\/6 - 0)\/((-12)\/279).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -185, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 1288869?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/2)\/(-5)*4\/192*-15\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3892, 15523, 34926, 62101, 97048, 139767, 190258?\nAnswer: 248521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - g - 148 = 0, g + 114 = 4*f - 2*g. Suppose -3*w - 2*w + f = 0. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.1 + -10.1. Which is the nearest to 1\/3? (a) p (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 0, -5*o + 4*s - s + 5 = 0. Is 0 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2635*c = -5*w + 2633*c + 1, 8 = 2*w - 3*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4 + 119*b**3 + 78*b**2 - 259*b + 58 = 0?\nAnswer: -29, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1801128 and 184884?\nAnswer: 55834968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*l = -6*x + 25, l + 11 = 4*x. Let f = 5902 + -40974\/7. Let h = f + -48. Is h smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9199742770 to the power of 1\/2, to the nearest integer?\nAnswer: 95915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/15 and -91\/144052365.\nAnswer: 144052365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -26. Suppose q = -5*q + 96. Suppose -5*j = 3*x - 41, -x - 3*j - 1 = -q. What is the remainder when f is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2077, 4159, 6263, 8401, 10585, 12827, 15139?\nAnswer: 17533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 38046*x**2 - 684099*x + 3077352.\nAnswer: -3*(x - 12664)*(x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 236 (b) -4\/11 (c) 1\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) -2\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27318091543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)\/j**5*(j**1\/j*j)\/j*j\/j**(-3)*j*j*j**(-1\/3)*j\/((j\/(j*j\/(j*j\/(j**(-2\/17)\/j))))\/j)*j**(2\/3)*j**3 assuming j is positive.\nAnswer: j**(164\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/48*2*-9 - (6 + 5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**8\/5040 + d**7\/1260 - d**6\/15 + 11*d**5\/12 - 10*d**2. Let n(z) be the third derivative of k(z). Find r such that n(r) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8809319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -360 + 355. Let z = 6 - 8. Let h = z + 4. Which is the third biggest value? (a) h (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(3) + sqrt(3)*-2) + sqrt(224)\/(sqrt(8)*-1))\/(3*sqrt(4)*-1 - 2*-3*sqrt(4)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000870196944 rounded to 5 decimal places?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31721*x**2*y - 9*x + 19*y - 5 wrt x.\nAnswer: 63442*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747?\nAnswer: 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 3, x: 2, o: 5, h: 1, p: 3, q: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(9\/6 + -2). Let p(i) = -i**3 - 7*i**2 + 14*i + 9. Let n be p(-9). Let g be (b\/3)\/((-15)\/n) + -989. What is g rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 + 4 - 2)*((-3 - 5 + 6)*(-3*l - 3*l + 2*l) + 2 - 2 + 3*l + 2*l + 3*l - 4*l).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:45 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -92644.99826 to 0 dps.\nAnswer: -92645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6083469 and 22.\nAnswer: -6083447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12594 + -8304. What is the greatest common factor of 312 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12967, -16237, -19483, -22693, -25855?\nAnswer: -28957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -42*d. Let m(i) = -5*i**2. What is m(c(j))?\nAnswer: -8820*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 6*g - 4. Let t be f(-4). Suppose -5*w - 5*q = -t*q + 14, 2*q + 13 = -5*w. Let a(p) = -3*p**2 + 4*p + 4. Give a(w).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:51 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2055666 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 496856*z**4 - 2996*z - 78?\nAnswer: 5962272*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 5750*g - 2481072.\nAnswer: 2*(g - 381)*(g + 3256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2640*v - 5600 + 552\/7*v**2 - 4\/7*v**3 = 0 for v.\nAnswer: -2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 times -31389\nAnswer: -1035.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3465 - -3413) + (-1 - -9)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k - 91568 + 91568 + 16*k.\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2554 + -2550. Which is the fourth smallest value? (a) -1 (b) f (c) 1 (d) 0.022 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-10)\/(-40) - (-41248002)\/(-8)). Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.197 < 0.2916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {l: 5, p: 11, e: 1, m: 3}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2*n + 27. Let j be c(8). Let a = -183 + j. Let y = a - -110. Solve 0 = 3*i - y*b + 7*b - 34, 5*i - 2*b = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1560 by 5.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:41 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*v, 0*v + 3*v + 2*c + 7 + 9 - 7 = -3*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 52. Calculate the common denominator of 190\/(-330)*(-3 + 1 + b) and 65\/81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101211012000 (base 3) to base 8.\nAnswer: 640013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7324 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270 + -160. Suppose 4*q + 43 = -x, -5*q - 44 - 141 = 5*x. Let k = -25 - x. What is the greatest common divisor of u and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26190*g - 995213. What is j(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 19295?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*sqrt(65)*-6 + sqrt(65) + sqrt(65))\/sqrt(5))**2*-3 - (sqrt(143)\/(sqrt(275) - (-1*sqrt(275) + sqrt(275)) - sqrt(275) - sqrt(11)) + 5)).\nAnswer: -3774 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 5*x**2 + 5*x - 3. Let a be m(-6). Let i(r) = 44 + r**2 - a*r - 43 + 5*r. Determine i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 16*t + 66. Calculate the common denominator of 29\/12 and t*(-531)\/(-336) - (-1)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90948900 to the nearest 1000000.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1209 - 322. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 46 = -0. Suppose 26*o - 47 = 31. Suppose -4*j = -o*c + m, -5*j + 46 = c + c. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 18 - -37 - (-26 - (-3 + 8))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236018713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z**4 - 110*z**3\/3 + 172*z**2\/3 - 98*z\/3 + 5 = 0. Calculate z.\nAnswer: 5\/21, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*t - 2*t - 19, 5*t + 15 = 0. Suppose -50 = -w*d - 38. Which is the third smallest value? (a) d (b) 26 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**16*(r*(r**(-3)\/r)\/r)\/r*r*r*r\/r**(-1))\/(r**10\/((r\/(r*r**(-2\/5)*r))\/r))**22 assuming r is positive.\nAnswer: r**(-1301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10\/7 (b) -0.2 (c) 3232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 3570 = -52*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u + 323. What is d(17)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2463428.\nAnswer: 3\/2463428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -29a23a9?\nAnswer: 29a23a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 7 - 11. Suppose 0 = -2*t + 3*t - 6. Suppose -t + 50 = i*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpp when four letters picked without replacement from wwpwwpppfwwwp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2986, -5974, -8964, -11956?\nAnswer: -14950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-8)*z*z)\/(z*((z**0*z)\/z)\/z)*z\/((z\/(z*z\/(z**(-2\/17)\/z)))\/z)*z*z**(4\/9))**(-2\/7))**(-24) assuming z is positive.\nAnswer: z**(1376\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 210 = -5*v, -2*v + r + 3*r + 100 = 0. Suppose j - v + 21 = 0. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 1146421 - 16551. Let u = l - 112103. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9815286 divided by 1.\nAnswer: 9815286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909219037.\nAnswer: 3853, 1274129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maammmmmama. What is prob of sequence mm?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/629 - 1871\/2516. Let s = -0.04 - -0.34. Which is the second biggest value? (a) s (b) h (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 - 18\/12*8\/(-6). Suppose -16*g + u*g = -3. Suppose 10\/3*c**2 + 2*c**g - 2\/3 + 2\/3*c = 0. Calculate c.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60424 and 398944.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118402 + -118399.00135. Let b = d + -3. What is b rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1906*t = -63665 + 288573 for t.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 5. Determine n(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 253 = -5*k - g, k - 130 = 4*g. What is the greatest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -5. Suppose 0 = -s*c - 0*q + 4*q, -4*q = -5*c. Let i = c - -7. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7495 + -7503.394. Let q = 3.561 + h. Let l = q + 0.033. What is l rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.58923km to meters.\nAnswer: 74589.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -55. Let i = t - -47. What is the nearest to -2\/7 in 4, -2\/17, i?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 + -26146?\nAnswer: -26026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 17274*v\/5 + 4741623\/5.\nAnswer: 3*(v + 289)*(v + 5469)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.343, -3, 1\/4, -5 in descending order.\nAnswer: 4, 0.343, 1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 4\/(-3). Let i be (-4)\/g - -5 - 0. Suppose -v + i*o + 4 = 8*o, 5*v + 5*o = 0. Is -2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0 - 133\/20*n**5 - 35*n - 149\/2*n**2 + 0*n**4 + 0*n**3. Find the first derivative of g(s) wrt s.\nAnswer: -399*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*k**5 + 127*k**3 - 127*k**3 - k**5 + 0*k**5 + 2*k**5 + (-5*k**5 - k**5 + 3*k**5)*(2 - 2 - 1).\nAnswer: -74*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -7 (c) 2\/315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/16)\/(6\/4))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 25*q**3 - 17*q**2 + q + 1. Let f(j) = -6*j**3 + 4*j**2. Let r(c) = 9*f(c) + 2*w(c). Let g(o) = -3*o**3 + 3*o**2 + 3*o + 3. What is -2*g(n) + 3*r(n)?\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 - 224. Let f(k) = k**2 + 4*k - 7. Let m be f(-6). Let j(l) = 2 - 2*l**2 - 2*l + 2*l + l. Let y(d) = 3*d**2 - d - 2. Calculate m*j(i) + x*y(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:18 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -0*t. Is (-315)\/t - (-2)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.285700948 to 3 decimal places.\nAnswer: 1.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222 (base 4) in base 16?\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 64 and -909.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 + 69*o - 2241\/2.\nAnswer: -3*(o - 166)*(o - 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((9\/6)\/(-1))\/((-12)\/272). Suppose -27*p = -k*p + 35. Put p, -20, 3 in ascending order.\nAnswer: -20, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*a + 44 = -120*a. Put -1, -50, a, 5, 0 in increasing order.\nAnswer: -50, -1, 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u + 140. Let w be g(6). Let i(b) = b. Let x(j) = 5*j + 2. Calculate w*i(p) + x(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.8 + -2. Let c = a + 23. Let h = -4.2 + c. What is the third smallest value in h, 0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 54 (c) 47 (d) 0.8 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/92487500 and -197\/1331820?\nAnswer: 832387500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/28*6\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - (5 + -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:18 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.136 + 0.136. Let n = -0.02 + 0.32. What is the nearest to l in 3, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-4)\/(-60)). Suppose q*c - 3 - 7 = 0. Let f be 0 + 0 - (c - 0). Is -2 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 999 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 3*c - 11777, 3*c + 2951 = a. Suppose 4*d + 2293 = 5*g - a, 4209 = 4*g + d. What are the prime factors of g?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 851858548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 - 1347821.018361\nAnswer: -1347818.218361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130134720 by 7664.\nAnswer: 16980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 8*y**2 + y + 3. Let k be p(8). Let f = k - 6. Let q(m) = -197*m - 390. Let u be q(-2). Solve r = f*n + u*r - 15, 0 = -3*n + r + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 474769520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 + 6. Let q be o(0). Let f(j) = -4*j + 4 + q + 3*j. What is f(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -64. Is 32\/19 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 417, 640, 863, 1086?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - -0.8. Let w = p + -2.4. What is the third biggest value in w, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44953 is divided by 737.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*1*-2*sqrt(208)*1 + (-1 + 1*sqrt(208))*4*4))**2.\nAnswer: -2560*sqrt(13) + 83456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.6 + -22.6. Let j = 69 + -66. Let w = 23 + -21.9. Which is the nearest to w? (a) 1\/3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/55 + (-14)\/5*-2. Let t(d) be the third derivative of 0*d**3 - d**2 - 1\/6*d**4 + 0*d + 0 - 1\/30*d**v. Find the second derivative of t(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 + 3965*b**2 - 15*b + 3. Let w(u) = 6*u**3 + 3964*u**2 - 20*u + 4. Determine -3*w(l) + 4*x(l).\nAnswer: 2*l**3 + 3968*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.3, -224728, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 18268752.\nAnswer: 18268758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*s. Suppose 4*f - 4*t - 6 = 2, 0 = f + 3*t + 6. Suppose f = 2*r + 6 - 16. Sort -4, s, r in ascending order.\nAnswer: -4, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 9 = -b, -35*b = -m - 459548 + 459307 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 2*q. Let k(u) = -56*u**2 - 8*u + 21. Let n(s) = 4*a(s) - k(s). What is the first derivative of n(o) wrt o?\nAnswer: 104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1314503*c**5 - 9401113*c wrt c.\nAnswer: 26290060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7)*-1)*1 + (((sqrt(190) - sqrt(190)*2 - sqrt(190))*4)\/sqrt(10))**2.\nAnswer: -sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53190.61 millimeters in nanometers?\nAnswer: 53190610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.053075\nAnswer: -0.0265375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 - -186. Is 0 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 6*a. Let o be n(-4). Let p be (-2)\/13 - -4*60\/39. Calculate the remainder when 103 is divided by ((-26)\/(-4))\/(p\/o).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15036.\nAnswer: 1\/3759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 + 7. Determine i(5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Let q = 8 + g. Let a = q - -16. Do 2\/3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/60 + (-3)\/(-2))*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/(-19) + 143 + (-4)\/2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2. Let o(i) be the second derivative of 7*i**4\/12 - i**3\/6 + 38*i. What is o(b(x))?\nAnswer: 7*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/8 (b) 0.6 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + 167. Let u = q - 136. Suppose j + 4*h = 6*j - u, -3*j + 86 = 5*h. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from {j: 3, h: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2)*p)\/p)**(4\/5)*(p**0)**(-25))\/(p**(-4)\/(p\/(p*p**(-5))*p)*(p*(p*p**(-4))\/p)\/(p\/p**(-2\/5))) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.1857 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y - 126. Does 6 divide k(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-2 - 0)*1. Let d = 4.8 - 1.8. Let b = d - 7. What is the second smallest value in -0.1, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(42\/4))\/(320\/(-355)). Let r = y - -1\/32. Is r greater than or equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 10*x + 24 = 0. Let u be (4\/(-6))\/(x\/(-18)). Let j = -4.3 + 0.3. Sort 3\/4, j, u.\nAnswer: j, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 - 10*p**2 + (-4 + 4 + 2*p)*(-1 + 1 - 4*p) - 2*p - 4*p**2 - 6*p**2 + 6*p**2.\nAnswer: -22*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 69500?\nAnswer: 69497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1399, -1, 4 in ascending order.\nAnswer: -5, -1, 3, 4, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1221 + 1273. Let t be (10\/6)\/((-3)\/(-9)). Determine c so that z*c**5 + 58*c**t - 109*c**5 - c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -712*y - 9 + 710*y - 10 to the form c*y + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2264 + -2252. What is the least common multiple of 8864 and q?\nAnswer: 26592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 57 = -5*t, 4*t + 2*f - 36 = 6*f. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -922 - -905.536. What is u rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.7 - -15.7. Let u = 0.22 - -0.08. Suppose -v = -2*y - 0 + 2, 4 = -4*y + 4*v. Which is the second biggest value? (a) n (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.1. Let y = -0.3 + r. Let x = 0.1 - 0.2. Does x = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 4*j + 944, 3*j = -4*d + 1888. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(78)\/sqrt(6))*6)**2.\nAnswer: -360*sqrt(13) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ise when three letters picked without replacement from {e: 5, s: 3, i: 6, x: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 2*t - 3*t)*(-t**2 - 3 - 6*t**2 - 2*t**2).\nAnswer: -18*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/19348 and -1\/140.\nAnswer: 96740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(1200)*-1))\/((sqrt(486) + (sqrt(486) + sqrt(486)*-2 - sqrt(486)) - sqrt(486) - sqrt(486)) + sqrt(600)*1).\nAnswer: sqrt(7)\/170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*k**2 + 4*k**2 + 0*k**2)*(6*k + 2 - 2) - 3*k**3 + 6*k**3 - 4*k**3)*(0*k - 2*k + 0*k)*(1 + 3 + 5).\nAnswer: -90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 75, 129, 203, 303, 435, 605?\n\"Answer: r**3 + r**2 + 30*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 4 + (-821 - -829) - 94.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**3 - 43355*u**2 + 43355*u**2.\nAnswer: 59*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*1*((-10)\/(-2))\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1368 divided by 114\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/360*-5)\/(8\/(-12)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9541*r**2 - 47196*r**2 + 9405*r**2 + 9416*r**2 + 9528*r**2 + 9489*r**2.\nAnswer: 183*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n + 3*p = 369, 5*n + p - 363 = 0. Calculate the remainder when n is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let r(g) be the second derivative of 2*g**2 + 48*g + 0 - 1\/6*g**3. Give r(l(j)).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 3589685?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) -4 (c) -6 (d) -1 (e) -1\/8 (f) -20 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**4 + 8*w**4 + 4 + 3*w - 2*w**4 - 2*w**4 as m*w**3 + b + p*w**2 + v*w**4 + l*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.00037 kilometers to meters.\nAnswer: 43000.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetteetcwte. Give prob of sequence wc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*(-2)\/4*-8. Factor -15*l**3 + 3*l**5 - 12*l**4 - 5 - 18*l**r + 5 + 18*l**4.\nAnswer: 3*l**2*(l - 2)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 - 8*r**2 - 174*r - 330. What is p(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/12 + (-3 - (-12)\/10). Let g = 364 + -361.03. Let y = g - -0.03. Put -1\/3, n, y in ascending order.\nAnswer: -1\/3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -2*m, 2*p + 5*m = m - 14. Let y = 6 - 10. Let j = 38 - 37.8. Which is the nearest to p? (a) j (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 61*n - 138. Let o be k(-53). What is the highest common divisor of 7007 and o?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-60)\/50*10\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -208159 + -2?\nAnswer: -20815b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -540 or -1616\/3?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -21 + -46 + 52 + -28 + -8.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 4. Let f be i(0). Let k = 36 - 38. Sort k, 1, f.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834812714 a multiple of 5200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3963*z**2 + 3964*z**2 - 11888*z**2 + 3960*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1033 + -476. Let m = y + -534. Solve 0 = 3*r - 26 + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497750 divided by 1?\nAnswer: -497750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + -0.05. Suppose -s + 5 = 10. Let z = -0.36 + -0.04. What is the second biggest value in z, h, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1\/2*a**6 + 171 - 9\/2*a**4 + 3*a**5 - 9*a - 2*a**3 + 21\/2*a**2. Find l, given that z(l) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.400448 rounded to 2 dps?\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 711525013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-3\/2)*c)\/c)\/(c*c\/(c\/((c\/(c\/c**(-11)))\/c))))\/(c**(-2))**(4\/21) assuming c is positive.\nAnswer: c**(457\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 672 and 1152?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - k - 3)*(2*k**2 - 2*k**2 - 2*k**2) + 2*k**3 + 0*k + 0*k - 159*k**3 - 76*k**3 - 195*k**3 to the form z + q*k + i*k**2 + s*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 106*h + 111*h - 5, 0 = -3*h + 3. Solve 21*f = -v*f + 42 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5519*t**3 - 3895 - 529 - 13*t + 13*t wrt t.\nAnswer: -16557*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4626*h**2 + 4386*h**2 - 9010*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/383 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = -4207 - 4958. Let k = -669 - v. Solve -4*z - k = 8*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114396.\nAnswer: 2, 19, 43, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from lrpplrrww.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8136293817?\nAnswer: 3, 2712097939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 452849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/6 - 2*u**3\/3 + u**2 - 4*u - 10. Let n(z) be the first derivative of g(z). Factor n(v).\nAnswer: 2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21309 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + 1 + 3 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224542 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 480.8 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 3*q**4 + 2*q**4 + q**2 - 3*q**4 + 4*q - 2*q**2 + 2*q**4 - 7 as x + n*q**2 + v*q**4 + m*q + z*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*z = -3726*z - 18075*z + 480144 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1540 = -8*p. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1775962447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4920)\/513 - (-10)\/45. Let x be (-22574)\/1140 - (-2)\/6. Let g = b - x. Find the common denominator of g and -47\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32338409?\nAnswer: 2111, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5192.\nAnswer: -5192, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 164. Let y be -1 - 0 - (-598)\/(-6). Let l = y + w. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 - 165. Let y be (4 - n\/(-6))*-3*-13. Solve y = -6*f - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-486)\/16 - 3\/(-8). Let y be (-23)\/(-15) - (-1)\/t*-4. Which is the closest to 1? (a) -0.1 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*f + 23, 23*f - 2*b + 351 = 364 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 238, 3\/2, 25, 0.1 in decreasing order.\nAnswer: 238, 25, 3\/2, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3124978, 3124975, 3124974, 3124975?\nAnswer: 3124978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*z - 1146 + 520 = 1103 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1560 and 14462292?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 128 - 9 = 5*b - 88*c + 98*c, -3*b + 2*c = -55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 23. Solve j = k*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/273 - (-4194)\/(-31122)?\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 - 54781 = -1913*u + 87571 - 18258 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = v + r, -8 = 2*v + 4*r. Suppose -4*b = -2*y - y - 67, v = b - 2*y - 18. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 15. Let g be o(-11). Suppose 56 = g*a - 32. What is the units digit of 766\/a - 18\/(-99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233212121 (base 4) to base 2.\nAnswer: 101111100110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15958, 31946, 47934, 63922, 79910, 95898?\n\"Answer: 15988*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = 5*y + 22*y - 4*q + 9, -5*q + 15 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m)*(-4*m**4 + 18*m - 2*m**2 - 18*m).\nAnswer: -8*m**5 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:19 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20799482833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157366 is divided by 732?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2522.94 - -0.3.\nAnswer: 2523.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 121293001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:19 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316948 and 8673.\nAnswer: 46591356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**7\/357 - 4*z**6\/255 + 3*z**5\/170 + 2*z**4\/51 - 4*z**3\/51 + 39*z. Find v, given that f(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/18)\/46 - 6\/(432\/4984)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 2b7ab?\nAnswer: -2b79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 3. Let s be k(-5). Suppose 0 = 31*n + 15 - 77. Suppose n*j + 138 = 130. Sort s, 5, j, 4 in ascending order.\nAnswer: j, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + 2. Let v(x) = 5*x + 1. Let y(n) = -3*f(n) + 7*v(n). Determine y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6349 and -65503274.\nAnswer: -65509623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + q - 1. Let v(k) = k**3 - 8*k**2 + 7*k + 1. Let w = 21 - 14. Let c be v(w). Calculate the smallest common multiple of 11 and h(c).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) - 3\/(135\/(-80)). Suppose a*m = -k + 64645, 9*m - 2*k + 96969 = 12*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 114. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 6*r)*(668 - 1356 - 653).\nAnswer: 8046*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 92*p**2 - 2*p + 19. What are the prime factors of v(-3)?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 33. Let s be b(8). Let f(z) = 2*z**2 - 2*z + 28. Does 18 divide f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*a - 156*a - 528 = 0. Solve 0 = -7*r - 9*r + a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*h - 64*h + 228. Solve -71*l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:24 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Suppose -99 = -2*a - g, 5*g - 255 = -z*a - 0*g. What is the remainder when a is divided by ((-104)\/20)\/(12\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 7*d - 3*d + (-499670 + 499670 - 802*d)*(0 - 2 + 0).\nAnswer: 1608*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in nineteen sevenths of a week?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -62. Let j = 26 + l. Let m = 8 - j. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2906 + -2721. Which is greater: 190 or d?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgggzggggggzgzggzz. What is prob of sequence gg?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 843a (base 12) in base 3?\nAnswer: 201211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 6. Let f(t) = -t - 1. Suppose -3*b - 5 = -2. Let c(h) = -7*h**2 + 1. Let w = -1 + 2. Let l be c(w). Calculate b*g(v) + l*f(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -1987*u**5\/60 + 2495*u**4\/24 - 34*u**2 - 10*u. Find the second derivative of a(d) wrt d.\nAnswer: -3974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4419*-30.653.\nAnswer: 13.5455607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21370717 to the power of 1\/2, to the nearest integer?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/519 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:55 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -50. Let s = 19 + j. Solve d = -4*b + s, 6*b - 3*b - 20 = -5*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9168 - 9168.1. What is the closest to y in -0.26, 4, -0.3, -18\/7?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75361*f**4 + 4*f**3 + 2*f**2*o**2 - 458*f*o**2 + 3*f - 33*o**2 + o + 17 wrt f?\nAnswer: 904332*f**2 + 24*f + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268150431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 28, 4, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*s**3 + 23*s**4 + 9 - 40*s**3 wrt s?\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*w - 12, 0 = -f - 8*w + 5*w + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 2*x**2 - 5*x - 3. Let v = -13 - -42. Calculate the remainder when v is divided by z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(245) + sqrt(245) + 5 + 2)**2.\nAnswer: 336*sqrt(5) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1364.4 - 1357.4. Is z bigger than 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 247 = -7. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + x = -23, 0 = -h - 9*x + 96 - 107 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c - 1878 + 2862 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453a8 (base 14) in base 8?\nAnswer: 510270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -354909 divided by -1222\nAnswer: 354909\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 5091135.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 10. Let y be r(6). Let f be (-4)\/6 + (-3)\/9. Suppose -45 = -6*m - 9*m. Sort f, m, y.\nAnswer: f, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2051617846\/69 - 29732174. Suppose -4*p + 2*c = 5678, 5*p + 530 = 5*c - 6575. Let k = p + v. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3551899 rounded to two decimal places?\nAnswer: -19.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r + 74. Let s be c(4). Suppose 0*o - 243 = -o - 2*l, 0 = 5*l - s. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 - 442*a**2 + 729*a - 2390. Give g(-149).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:51 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*(2 - 2). Solve q*g - 9 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5262\/3463 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2675bb3?\nAnswer: 2675bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*t**3 + 191 - 16317*t + 16317*t - 189.\nAnswer: 610*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 153 - -6. Let d = -160 + j. Let p = 18 - 18.3. What is the smallest value in -2, p, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 184, 694, -4 in increasing order.\nAnswer: -4, -1, 2, 184, 694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1451*r**5 - 2434*r**4 + r**2 + 878*r + 108.\nAnswer: -87060*r**2 - 58416*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (9 - 7) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 65 = -52. Suppose 4*s - 86 = -2*z, 113 - 12 = 4*s + 5*z. Suppose -3*f - y = -s, y + 15 = -2*y. Solve -f = -j - l*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 11. Let i = -7 + v. Which is the closest to i? (a) -3 (b) -2\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 45*t**8\/2 - 323*t**4\/6 + t**3\/3 - t + 458. Find the third derivative of k(y) wrt y.\nAnswer: 151200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 38 = -2*k - 138, 215 = 5*t - 5*k. Let a = -36 + 71. Let o = t - a. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 4*c**2 + c + 22. Let h be (-507)\/(-104) - 2\/(-16). Let x be f(h). Calculate the greatest common divisor of 14 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 654 - 650.93. Let j = b - 0.07. What is the closest to -0.4 in j, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cc6 + -12e3?\nAnswer: -3fa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 299*u - 38. Let i(t) = -199*t + 24. What is 8*i(w) + 5*l(w)?\nAnswer: -97*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25629715*l**4 - l**2 - 6752463*l + 1 wrt l?\nAnswer: 615113160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 19262693 = 5077728. Let k = 477203 + g. Round k to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 482*g + 484.\nAnswer: -2*(g - 242)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + sqrt(19))*-1*1 + sqrt(19) + ((sqrt(190) - 2*sqrt(190)) + sqrt(190) + sqrt(190))\/sqrt(10) + (sqrt(1539)*2 + sqrt(19))**2.\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29151 from 0.02216773.\nAnswer: -29150.97783227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2957 or -2958?\nAnswer: -2957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251420426 and 40090?\nAnswer: 8018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273 - -3?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 9120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 465429 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10887*h**2 - 368*h + 5 wrt h?\nAnswer: 21774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11913 is divided by 3946?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 49*z = -5*m + 7439, z = 1. List the prime factors of m.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/((39\/117 - 7) + (-12)\/(-2))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (sqrt(17) - sqrt(170)\/(sqrt(80)\/sqrt(8))) + -6*sqrt(51)\/(sqrt(336)\/sqrt(7)))**2.\nAnswer: -6*sqrt(17) + 169\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let x be 14 - 4*(14 - (-342)\/(-24) - -1). Solve -x*g + 8*g + 9 = r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1366 + 1366. Solve -21*l - l + 66 = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -1, 7, 21, 41, 67, 99?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40210776 divided by 2\nAnswer: 20105388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 8. Let z be i(0). Find the common denominator of (-39)\/10*(-10)\/z and 149\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/9 - 1588*c**2\/9 - 9584*c\/9 - 12800\/9 = 0.\nAnswer: -4, -2, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 19*y**5\/10 + y**4\/8 - 16*y**2. List the prime factors of n(1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -3 in increasing order.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-36)\/8 - -3)*-40?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -9, -3 in increasing order.\nAnswer: -9, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -79. Let y be 1\/(-2)*3*o. What is the highest common divisor of 210 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469759 + 448855 - 973562)*(i**5 - 5*i**5 + 3*i**5).\nAnswer: 54948*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0271 and 47433?\nAnswer: -1285.4343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -4. Suppose 0 = -4*v + k + 6. Solve 4*l + 2*n - 10 = 5*n, -2 = l - v*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let y be j(4). Let n(m) = 2*m**3 - m**2 + 2*m + 3 - 6*m + 0. Does 18 divide n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and -652.44?\nAnswer: 652.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1080 + 1075. What is the third smallest value in s, 17, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689983978 to the nearest integer?\nAnswer: 26268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**3 + 4. Let j(n) = 9*n**3 + 5. Let h be ((-10)\/15)\/(1\/225). Let c be ((-2)\/6)\/((-10)\/h). Determine c*v(r) + 4*j(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331175219 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10726 is divided by 122.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*y - 12, 3*y - 2 + 11 = 3*z. Suppose 8*q - 23 = -a + 3*q, -z*a = -q - 21. Let j be a\/(-20) + 2\/5. Solve -o + 4 + j = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3505 + -2?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 + 52 + 6*p**5 + (6*p**4 - p**4 - 4*p**4)*(2 + p - 2) + (-5*p**3 + p**3 + p**3)*(2*p - p + p)*(5*p - 3*p - 5*p).\nAnswer: 25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82169?\nAnswer: 127, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18 = 4*x, y - 3 = 2*x - 5*x. Let f = y + 6. Let t be 2 + 0 + f\/3. Sort -2, t, -4 in increasing order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(76) + -4*2*sqrt(76) + sqrt(76) - sqrt(76))\/(sqrt(4)*2*-3 - sqrt(4)))**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-2 - -19) + -2. Suppose t = -3*t + w. What is the units digit of (-35 - (t + -2))*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-35))\/((-4)\/(-14)). Solve 5*j - c*x - 4 = 0, 20 = 3*j + j + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 12:21 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -730 + 692*p + 4515*p**2 + 52*p - 1 + 718*p. Let b(s) = 37*s**2 + 12*s - 6. Let g(r) = -731*b(r) + 6*c(r). Let x(n) = -n. Determine g(x(y)).\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633640?\nAnswer: 2, 5, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 2*h**2 - h**2. Let y(k) be the third derivative of k**5\/20 - 6*k**2. Determine q(y(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526749?\nAnswer: 3, 71, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6913.730333 - -6957.73033357. Let m = v - 44. Round m to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**2 - 7. Let j(w) = w**2. Let z be 8\/32 + 4\/(16\/(-13)). Let c(k) = z*n(k) + 3*j(k). What is the derivative of c(m) wrt m?\nAnswer: -78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 729\/7 - (34 + (-10004)\/287). Which is the fourth smallest value? (a) -1 (b) 3 (c) p (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5218 * 0.3\nAnswer: 1565.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 11:21 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23837663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -6*z - 752100. Round z to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = 5*r, 5*r + 18 = y. Suppose 0*c + 320 = y*c + 5*s, -2*s - 4 = 0. Calculate the remainder when c is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-1 + (-143)\/(-165)). Which is the second biggest value? (a) -0.1 (b) 2\/17 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)*(m\/m**(1\/14)*m*m)\/m*m*(m*m**(2\/9))**(-27) assuming m is positive.\nAnswer: m**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 37*g**2 - 14*g - 1582. Give n(38).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a*y**3 - 6*a*y**2 - 2*a - 9*y**5 + y**2 wrt y?\nAnswer: 96*a - 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 598?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169416 divided by -4.\nAnswer: -42354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b + 3. Let u be j(-2). Let p be (-232)\/(-9) - (-2)\/9. Suppose 162 = u*a - 0*a - 4*h, 0 = -a + 4*h + p. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c - 50*c = 4*k - 12, 4*c = -16. Sort 0, k, -5, 24.\nAnswer: -5, k, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, w: 2, p: 2, i: 1, q: 6}. Give prob of picking 1 i and 2 q.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 92 + 36 = 0. Let o(w) be the third derivative of -1\/6*w**n - w**2 + 0 + 0*w - w**3. Differentiate o(f) with respect to f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**3 + 6790*c**2 - 2058455*c - 6236610 = 0.\nAnswer: -3, 463, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + 26 + -4 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + h)*(-2 - 2 + 1)*(0 + 2 + 22 + 1 - 1 + 2 + 1 - 3 + 3 + (2 - 2 + 2)*(1 - 3 + 1)).\nAnswer: -75*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.15 (c) 0.4 (d) 225 (e) 0.21 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 27 = -5*m, 0 = 366*m - 371*m + 29 + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111619, -223238, -334859, -446482, -558107, -669734?\n\"Answer: -s**2 - 111616*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86451283\/49806 + 1028\/2767. Let s = -1733 - n. Let k = 56017\/5820 - -1\/11640. What is the common denominator of s and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f + 25*f)*(-f**2 + 0*f**2 - f**2)*(-2 - 1 + 1).\nAnswer: 116*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = -4*w - l, -2*w + 5 = -5*l. Suppose -i + 2*i - j + 3 = w, 4*j + 23 = -3*i. Sort i, -4, -3 in decreasing order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 - 49 + 6*p)*(0*p - 3*p + p) as j + o*p**2 + t*p and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (74 - 62) - -24 - 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-63)\/(-18) - 3\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 11133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and 31\/2744.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let b = 0 + f. Suppose -4*h - 3 + 23 = 0. Calculate the highest common divisor of h and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*m - 203 = -37 + 238. Let s(j) be the second derivative of -11\/6*j**m + 42*j + 0*j**2 + 0 + 1\/6*j**3. Find the second derivative of s(n) wrt n.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -15*s + 4*s. Suppose z + 2*j - 2 = 3*j, z + s*j = -8. Solve z = -5*v + 28 - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - r - 5*r)*(0*r + 7*r + 2*r) + 11 - r**2 - 11 + (3 - 4 + 7)*(0 + 2*r - 3*r - 1)*(-r + 0*r + 3*r) in the form q*r + p*r**2 + d and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18829 is divided by 6276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -492, -1 in increasing order.\nAnswer: -492, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 13*d - 33. Let j be f(-9). Let g(s) = -5 - 8*s + j + 10*s. Let w = 4 + -2. Calculate g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 183, 266, 347?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 - 4?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48679 = -4*c + 62305. Suppose -3*w + 4*a + 18 = 2*w, 4*a + 6 = -w. Is (w\/6)\/(3\/(c + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34277875.\nAnswer: 5, 274223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 514?\nAnswer: 513.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 - 8*r - 7. Let k be x(-7). Suppose -5*d = k, 2*g + d + 4 = -d. Let q(a) = -a**3 - 2*a**2 - 3*a - 2. List the prime factors of q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1194)\/15)\/(4 - (-6140)\/(-1525)). Let a = n + -3053. Find the common denominator of -61\/65 and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -2*n**4\/3 - 697*n**2. Let u(d) = -d - 22. What is k(u(p))?\nAnswer: 16*p + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*z - 44730 = -1905*z + 43490 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/7 - 55143*o**2\/7 + 2376828*o\/7 + 347424 = 0. Calculate o.\nAnswer: -18424, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/18*3)\/(3\/72). Solve -2*d + x*d - 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*2\/6*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -14, -1 in descending order.\nAnswer: 5, 3, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27039483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -612910 and 2.\nAnswer: -1225820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 4 + 4 + (5 - 3 + 0)*(-3*w - w + 2*w) + 3*w - w + 0*w - 412*w - 1344*w + 377*w.\nAnswer: -1382*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-26)*q)\/q)\/((q*q**(-13\/3)*q)\/q) assuming q is positive.\nAnswer: q**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 - 18*y**2 - y + 85. Let d(v) = v**3 - 6*v**2 + 28. Let r(u) = 7*d(u) - 2*o(u). Calculate the remainder when r(6) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 = 4*k + 5*f - 278, -5*k = -5*f - 1250. What is the highest common factor of 182 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:25 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*m + 3362 = 0, 101*r - 10087 = 98*r - 5*m. Calculate the remainder when r is divided by 841.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*l**4 - l**2 + 262*l - 2.\nAnswer: -828*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2019610.8 months in centuries?\nAnswer: 1683.009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -32480.2411 to the nearest ten.\nAnswer: -32480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -5 - 4) + -1 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 39, 45, 49, 51, 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(5\/(-10)*-1). Let d(h) = 3 - 13 + 2*h - u. Let b be d(9). Solve -j - 4*s = b, -3*j + 6*s = 5*s + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(6)*-1 + (sqrt(3168)*-3 - sqrt(3168)) + sqrt(3168))\/((-6*(sqrt(132) + sqrt(132)*-2))\/((sqrt(132) + sqrt(132) + 2*sqrt(132))\/sqrt(11))).\nAnswer: -74*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672 = -78*j - 76 + 32 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 + -126. Suppose 3*s + c - t = 0, s - 2 - 6 = 5*c. Is 28\/15 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/7 - 57*f\/7 + 18 = 0. What is f?\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 + 246. Suppose 0 = 2*y - 5*m - 59, -4*y - 2*m + o = -y. Suppose -a - 3*n = -y, 4*n - 2*n = a - 17. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/(-11))*(-220)\/(-110).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00811 - -0.09189. Is o < 31\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d**3 - 10*d**3 - 3*d**3 - 28*d**2 - 18*d**2 in the form h + m*d**2 + z*d**3 + o*d and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -683.2064?\nAnswer: -683.2064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 x when three letters picked without replacement from qxqqqdhcqccqqcqqxc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 + 3*j + 5. Determine w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 29. Suppose 2*m = 3 + 5. Calculate the remainder when q is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220586.8 + -0.0827.\nAnswer: -220586.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895596.\nAnswer: 2, 3, 13, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 31*j**2 - 12*j - 143. List the prime factors of r(5).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (104\/(-130))\/((-18)\/45). Put -1, -16, -5, q, -2 in ascending order.\nAnswer: -16, -5, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 18 + o + 0*o - 4*o with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2 - 14088*n - 9582084 = 0. What is n?\nAnswer: -2601, -921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40ada (base 15) to base 5.\nAnswer: 23024310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126691903.\nAnswer: 13, 71, 317, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*b**3 - 139*b**3 + 475*b**3 - 165*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292\/12 - 0)*(125\/(-5) - 560\/(-20))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2*s**5\/75 + 4157*s**4\/15 - 11525974*s**3\/15 + 34552984*s**2\/15 - 34544672*s\/15 - 15523. What is c in u(c) = 0?\nAnswer: 1, 4156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3813480 divided by 127116\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9792 - -9791.62. Put 0, x, 1, -3\/2, 4 in decreasing order.\nAnswer: 4, 1, 0, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9293\/37204 + 2\/9301. What is the third biggest value in 0.3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/95 and 43\/12688?\nAnswer: 1205360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let w(z) be the third derivative of -z**6\/720 - z**4\/8 - 7*z**2. Let m(x) be the second derivative of w(x). Give m(g(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1232 = -896. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 16*k + 9. Let t be h(-10). Let i = -27 + t. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*j + 3. Let x be ((-12)\/10)\/(j\/10). Let f be (x\/(-2))\/((-1)\/8). Solve -z - 4*d + f = -3*z, -2*d + 14 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/(-225) + -12*(-16)\/(-320)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4108*l**2 - 208*l + 832. Let z(j) = -99*j**2 - 5*j + 20. Give 5*p(v) - 208*z(v).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(304) - (-5 + -2 + sqrt(304) + sqrt(304)))*1*4*6 + -4)**2.\nAnswer: -33024*sqrt(19) + 204688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808 and 26?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 + -2?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -59 - (1 - 2 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135690 divided by -11?\nAnswer: -135690\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482\/7 + -69. Let k = 87 - 608\/7. Which is the closest to 0.1? (a) h (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573879.\nAnswer: 1573879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198093937.99999955 + -198093945. Let r = 5.4 - -1.6. Let n = p + r. Round n to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/897 and 119\/1794?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2407, -3, -1309\/5, -2, 0.1?\nAnswer: -2407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**6\/120 + 2*p**5\/15 + p**3\/3 + 19*p**2 - 85. Let l(w) be the second derivative of t(w). Calculate l(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 7, c: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/9 + 17\/18. What is the closest to -0.1 in r, -5, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1966 = -626. Let t = -270 - x. Which is the nearest to 0.2? (a) t (b) 1 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 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: List the prime factors of 42846802.\nAnswer: 2, 3413, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:52 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*v - 378 = 0, 6*v - 5*v - 1106 = 3*c. Let m = -6292\/17 - c. Suppose 3*o = -3*d - 6, -3*o + 4*d + 2 = 8. Sort m, 3, o in descending order.\nAnswer: 3, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1477 and -398?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(126))\/sqrt(6))\/(sqrt(33)\/(-2*sqrt(11) + sqrt(11)))*-5*-4*4.\nAnswer: -160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2415*o + 8836 - 8836)*(-3*o**2 + 3*o**2 - o**2) to u + s*o**3 + i*o + v*o**2 and give s.\nAnswer: -2415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 5}. What is prob of picking 3 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2\/13 (c) -101 (d) 4 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23165745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1382624?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 0, 0*b + b - 10 = 2*r. Let a be (-4)\/(-8) - r\/4. Is ((-89)\/a)\/((-4)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350318 or -350480?\nAnswer: -350480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 9*f + 2. Let t be j(-9). Suppose -3*h + 12 = l - 0*l, -t*l + 18 = 4*h. Solve s + 8 = -h*q, -s - 1 = -2*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 629 - 616. Solve 19 = 6*w + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 53*z - 184. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 4 + 14 - 48.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 5*i**4\/24 + i**3 - 2*i**2 + 105*i. Let t(k) = 9*k + 13. Determine -7*c(o) + 4*t(o).\nAnswer: o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 34. Suppose 2*j - 946 = -q*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l*l*l*l*l**(2\/11)*l)\/l)*l**(-3)*(l**(-1\/12)*l)\/l*l**2 assuming l is positive.\nAnswer: l**(-695\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 10*w. Suppose w = 3*y + 2*r + 12 + 13, -4*y + 2*r = 10. Let a be (-18)\/y*15\/9. Solve -3*p - 7 = x, a*p - 5*x = p - 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(209))\/sqrt(11) - (sqrt(1216) + 1))*2)**2 + ((sqrt(209) + 3*sqrt(209)*5 + sqrt(209))\/(2*sqrt(1100)))**2.\nAnswer: 72*sqrt(19) + 2469491\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o. Let s(v) be the second derivative of v**4\/12 + 12*v. Calculate d(s(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/88 and 63\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30353 + -3371. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 9. Let b = -13 - -19. Give k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61905*h = -61649*h + 6656 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 5*v - v)*((-5 + 3 + 3)*(-3 + 3 + 2) + 97 + 46 + 95) in the form y + x*v and give x.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269\/1395 + -2\/279. Which is greater: -1.25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14255881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnsnwks?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8646497429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794.1889 months in millennia?\nAnswer: 0.232849075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8115450 divided by 6.\nAnswer: -1352575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - j - 1 = 0, 5*h = 3*j - 0 + 3. List the prime factors of (1 - h)*1 + 25.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/109? (a) 1\/4 (b) -1 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25816 is divided by 5146.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217.9 - 218.4. Which is the second biggest value? (a) 5.86 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(1\/5)\/a)*a*(a*a**(2\/3)*a)\/a*a*(a\/(a*a*a\/(a*a**(-2))*a))**(-2\/19)*(a**(-11)\/(a*a\/(a**(-11)*a)*a*a))**(-48) assuming a is positive.\nAnswer: a**(343678\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/7)*d*d**(9\/2) assuming d is positive.\nAnswer: d**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/24 - -3\/8. What is the closest to 0 in -1\/2, 2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -244, -836, -1990, -3892, -6728, -10684?\n\"Answer: -31*a**3 - 2*a**2 + 7*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5 - 13) + 19 - (-1 - 7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373086, 746303, 1119520, 1492737, 1865954?\nAnswer: 2239171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1053) + sqrt(1053) + 1 + -4 + -1 + sqrt(1053))**2 + (-1 + 2*sqrt(1053) - (sqrt(1053) - (sqrt(1053) + -1)*2))**2)*-6.\nAnswer: -113874 + 2268*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42960*h + 738 = -43001*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -163416.48 and 30247?\nAnswer: 193663.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2983479, 11933935, 26851369, 47735781, 74587171, 107405539?\nAnswer: 146190885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2. Suppose -p + 3*p - 2*m + 2 = 0, 0 = 2*p - 3*m. Let l be 5 + (0 + 3)\/p. Let u = l - 0. What is z(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -5\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -p - 13, 0 = -2*p - 0*p + 5*o - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.446543t to kilograms.\nAnswer: 8446.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538770 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 942493552 to the power of 1\/2, to the nearest integer?\nAnswer: 30700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.73 + 0.53. Let l = 8.3 + x. Let t = 1 - 0. What is the third smallest value in 2, t, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 14\/(-6) - 4\/(-6). Suppose l*h + 0*h = -5*h. Is ((h - -3) + -4)*-753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 12:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62787 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:19 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, w: 8, n: 1, g: 5}. Give prob of picking 1 n and 1 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011001 + 10?\nAnswer: -2010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-111 + 3)\/(-4) - (-1 - -2). What is the highest common factor of 65 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*u = -f + 6, 0 = 2*f - 4*u - 36. Let i(j) = -14*j + f*j + 3*j**2. Let h(q) = 2*q**2. What is i(h(g))?\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1 - -7.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v\/(v\/v**(-1))*v*v*v*v)*v)\/((v\/(v\/(v**(2\/9)\/v*v)*v*v*v))\/v)*(((v\/(v*v**(1\/3)))\/v)\/v)\/v**(-2\/15) assuming v is positive.\nAnswer: v**(-19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60769, 121626, 182557, 243556, 304617, 365734, 426901, 488112?\nAnswer: 549361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 454655*f - 206283000.\nAnswer: -5*(f - 90475)*(f - 456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -0.309725?\nAnswer: 0.190275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 51*u**2 - 21*u + 107. Is j(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 4, -5, 58072?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 120, 0, 0.1, 33, -6 in increasing order.\nAnswer: -6, -0.3, 0, 0.1, 33, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5397641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2054, -236, -1 in decreasing order.\nAnswer: 2054, -1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*s**3 + 29994122*d**4*s + 2*d**2*s**3 + 2*d**2 - 52*d + 12*s**3 + s**2 - 249 wrt d.\nAnswer: 48*d*s**3 + 719858928*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*d - 7, 3*d = -0*d - 6. Let q = 5 + h. Solve 10 = -4*n + q*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q. Suppose 4 = -o - q*o. Is -3 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*q + 7*q + 3*q - 4)*(107 - 38 - 35 - 26)*(1 - 3 + 1) to the form a + w*q and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 16*w + 2255 = 0. Let h = w - 218. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + 2221124?\nAnswer: 2221225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 4*l - 3*l)*(-4*l**2 - 3*l**2 + 5*l**2) - l**3 + 23 + 4*l - 23 to the form w*l**3 + k*l**2 + t*l + z and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26945 by 5.\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a - 1. Let s(u) = 3*u + 1. Let y(d) = 6*k(d) + 5*s(d). Let f be y(-1). Solve 5*n + f = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128464788 divided by 18903.\nAnswer: 6796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3 + 1. Suppose 0 = 2*t + t - 4*c + 67, 3*t = -c - 62. Let s be (-46)\/(-11) - t\/(1848\/(-16)). Put 12, s, q in ascending order.\nAnswer: q, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-2) - (-2 + (-36)\/(-8))\/(289\/(-578))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.62 * -123329\nAnswer: -323121.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (262\/(-6))\/((-22)\/66). Let p = 383 - k. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/12*(2 - -1). Let l = -1193.4 + 1193. What is the nearest to 2\/7 in 0.3, x, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.4 + 37. Let m = h + -1.6. Let r = m - -5.95. What is r rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (-20)\/(-3). Let i = 35 - 35. Sort -0.1, i, r in decreasing order.\nAnswer: i, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2576144 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13.108 + -62155053\nAnswer: -62155039.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234175 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1238, -2480, -3722, -4964, -6206?\n\"Answer: -1242*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/(-102))\/(((-36)\/24)\/(96\/(-128)))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-14)*(1\/(-4)*-4)\/1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 164832354.\nAnswer: 1\/164832354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o**2 + 3*o - 3. Let m be 2*2\/(12\/39). Suppose 0 = -a - 2*z - m, 0*a - 3*z = 4*a + 32. What is the units digit of x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-1 + -2) + 6. Suppose -3*d + 37 = -r*t, 0*d - 3*t - 33 = -2*d. What is the third derivative of 4*g**2 + d*g**4 - 71*g + 71*g wrt g?\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 - 2*y**2 - y. Let l be r(-1). Suppose -l*a = 5*w + 37 - 13, -1 = -3*a + w. Is -4\/7 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 9*k**2 - 1048*k + 5174. Calculate l(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -161 - 4\/(-1). Let q = 347 - j. Let u = -97 + q. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 34786.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250158 and 83386.\nAnswer: 250158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 11700495137417.\nAnswer: 11700495137413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddi when four letters picked without replacement from {i: 5, d: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3847844?\nAnswer: 2, 7, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012 - -73.212. Let q = s + -73. Suppose 0*v - 2*v = -5*l - 7, 3*v + 15 = -l. Which is the closest to 0? (a) v (b) -8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skkkkkksskkkkkskkkkk. What is prob of sequence ksk?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 792460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {k: 6, s: 2, t: 2, h: 1, w: 1, g: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5691401195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2948 = -292*l - 4959 - 1145 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -60. Suppose y + 80 = 5*y. What is the smallest common multiple of y and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 11*v**2 + 0*v**2 - 5*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281340 and 8640?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 2*y**3 - 9*y**3 - 6*y**3 + 13*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c + c**2)*(-40*c + 33*c - 151*c) + 4*c + c**3 - 4*c + (-4 - 2*c**3 + 4)*(3 - 4 + 3) in the form r*c + v*c**2 + o*c**3 + t and give o.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 17 + 43. Let f(d) = d - 8. What is the remainder when 15 is divided by f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -7. Let k be (-191586)\/(-27) + y\/(-18). Let f = 142007\/20 - k. What is the common denominator of 27\/4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7782300 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 153, -7, 2\/385?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21077 + -20915. Sort 0.4, o, 0.5 in ascending order.\nAnswer: 0.4, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 170 = -10*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131456 - 262912 - 629*f + 9*f**3 + 131456 - 11*f**3.\nAnswer: -2*f**3 - 629*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b - 10. Let n be f(5). Solve -2*x = -n*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 924 divide 914329350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:44 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1121\/(-2280) - 15\/(-24). Factor -294\/5 - 28\/5*r - d*r**2.\nAnswer: -2*(r + 21)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*f**2*p**4 - 18*f**2*p**3 - 38*f**2 - p**2 - 20 wrt p.\nAnswer: -888*f**2*p - 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18087462 and 3572832?\nAnswer: 289399392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3 - 1\/3*h**4 + 1\/3*h - 2\/3*h**3 + 1\/3*h**5 + 2\/3*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*n - 80 = 0, 4*n - 9 = 11. Suppose -2*k - m + 7 = 0. Which is bigger: k or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11776121 is divided by 4737?\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (1 + sqrt(75) - sqrt(75)))**2*4*1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -264, -330, -396?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = -2*s, 0 = s - 5*z - 24. Let i = -12 + 18. What is the derivative of 10 - 7*a**s + 9*a**4 - 5 + i wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10684.28?\nAnswer: -10684.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10455)\/(-30)*(-232)\/(-1972).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -12, 3\/4, -5 in descending order.\nAnswer: 3\/4, -5, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, d: 4, y: 2, q: 3}. What is prob of sequence jqy?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/5)*i*i)\/(i*i**(-11)\/i*i))\/(i\/(i**(-13)*i)*i\/(i*i**11)) assuming i is positive.\nAnswer: i**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262059 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = -3*t, -2*n + 2*t - t + 11 = 0. Let y be ((-6)\/(-2))\/(3\/n). Suppose 308*x = 339*x. Put 5, x, y, 1 in descending order.\nAnswer: 5, y, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.3 (c) 0.184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2251 (base 7) in base 5?\nAnswer: -11240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-32 - -17) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 0.2 (b) 0.3 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53620.\nAnswer: 2, 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -5.132?\nAnswer: 2.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 16 = -5*m. What is the common denominator of 5 + 104\/(-24) - (-112)\/6 and (3 - 50\/m)*-31?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*n + 4703 - 954*n + 2056.\nAnswer: -1953*n + 6759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 73 - 81 = -3*i, -2 = 2*a. Let h(f) = -f**3 + 12*f**2 - f + 22. Let o be h(12). What is the greatest common divisor of i and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -46. What is the remainder when 49 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 19*f - 54 = 0. Let n(g) = 2*g**3 - 12*g**2 + 15*g - 3. Let k(a) = -a**3 + 6*a**2 - 7*a + 1. Let q(p) = f*k(p) + 4*n(p). Give q(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:36 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -1) + -2 + (93 - 91).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -17*c - 112. Calculate the lowest common multiple of 712 and c.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10103 - 121379\/12. Find the common denominator of 117\/14 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 8*j**4 - 1872*j**3 - 1407*j**2 - 352*j - 1619. What is f in l(f) = 0?\nAnswer: -1\/4, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let a(t) = -4*t - 11. Let c(d) = -a(d) + 3*n(d). Determine c(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57668970 to the nearest 10000.\nAnswer: 57670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47425 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246341807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/105 - f**6\/10 - 2*f**5\/5 - 2*f**4\/3 + 10*f**2. Find g such that x(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 879 + 1766 - 887.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 875 - 17605\nAnswer: -16730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/2 + 8341*o**3\/2 + 58453*o**2\/2 - 141925*o\/2 + 37566 = 0. Calculate o.\nAnswer: -9, 1, 8348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(144\/120) - 3*-3. Solve -b + 5*b - 16 = p*g, -b - 5 = 2*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 296 in -1.7, -4, 4\/5, -173, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 49 = -6*q. Let b(g) = g**3 - 5*g**2 - 3*g + 2. Let r be b(5). Let i = q + r. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 + 4. Let t = -3 + 2. Let o = 26\/5 - 5. Sort t, o, l.\nAnswer: t, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 11) in base 14?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16098860 at least -16098860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39957 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 993*t - 134 + 2*t**4 - 986*t + 277*t**3 + 136 as v*t**3 + g*t**2 + o + b*t**4 + n*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 6\/13, -1\/6?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1478)\/(-84) - 72\/(-126) and 89\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 68. Let k(t) = -2*t**2 + 14*t. What is k(g(s))?\nAnswer: -8*s**4 + 572*s**2 - 10200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1.81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 67, 111, 173, 253, 351?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/120 + 3*t**4\/2 + t**3\/6 - 10*t. Let h(s) be the second derivative of k(s). What is the tens digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21766319 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(187))\/sqrt(11) + -1)**2*-1.\nAnswer: -84 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74\/119, 0, 5, -0.11.\nAnswer: -74\/119, -0.11, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:42 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 54*d**2 - 12*d + 216.\nAnswer: 3*(d - 18)*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32744343811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let h = 452 + -452. Suppose -i*a - 5 - 15 = h. Let b(w) = -w**2 - 6*w - 2. What is b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*l - 44928 = -341*l. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 14*j + 150 = -2*i, 4*j - 177 = -5*i. Suppose -17*z = -j + 14. Solve -z*o + o = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633005 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvjvjvvvv. What is prob of sequence vj?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*r*t**2 - f*r*t + 2*f*r - 4*f*t**2 + 2*f*t + 16*f - 6700*r*t**2 - 122*r*t - t**2 wrt t.\nAnswer: 4*f*r - 8*f - 13400*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*b = -3*b - 12, 3*b + 24 = 5*f. Suppose 6*m - m + f*w - 51 = 0, m - 7 = w. Find the first derivative of -3*x + m + 3 - 10 wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-7)))**45\/(q\/q**(-21)*q\/(q\/((q*q\/(q*q*q\/(q**(-4\/17)*q)))\/q))) assuming q is positive.\nAnswer: q**(5002\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppfffpnpnf. Give prob of sequence ppff.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1. Let v(t) = 3*t + 3. Let a(s) = -v(s) + 2*z(s). Let p(b) = -35*b - 42. Let d(m) = 42*a(m) - p(m). Let w(f) = -2*f - f + 6*f. What is d(w(x))?\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 1154002*v**4 + 2308010*v**3 + 1154006*v**2 = 0. What is v?\nAnswer: -1, 0, 577003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 divide 53301159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 15\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i + 124. Let q be n(-20). Suppose 0 = -q*l + 5*m - 29, -2*l = -3*m - 7 + 22. Let z(y) = 4*y + 18. Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*m**4 - 94*k**3*m**3*n**3 + 2*k**3*m**2*n**3 + 74*k**3*m*n**3 + k**3*n - k*m**2*n**3 wrt m.\nAnswer: -24*k**3*m - 564*k**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 11*n + n**2 - 2*n**2 - n**4 as y*n**3 + j*n + m + z*n**4 + d*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11126497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303448.3mg in grams?\nAnswer: 303.4483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-10))\/9)\/((-112)\/70).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725 - -3622\/5. Which is the closest to -50? (a) -4 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/684*((-146)\/(-73))\/(20\/(-6))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -659 (base 12) to base 14\nAnswer: -4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10696507 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 22. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008709462 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + -8 + (-39)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210210 (base 6) in base 13?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 455108 to the power of 1\/2, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 - 36*z**3 - 30744*z**2 - 804400*z + 7140000 = 0.\nAnswer: -50, 7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 784, 1205, 1664, 2173, 2744, 3389, 4120?\nAnswer: 4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 26*k + 6. Let g be l(27). Is 2 a factor of (-3 - -2)*(g + -46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 1, k: 5, o: 7, z: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -603.9 less than -2.046948?\nAnswer: 601.853052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26 and -19\/2346?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29770, 29764, 29756, 29746, 29734, 29720, 29704?\n\"Answer: -f**2 - 3*f + 29774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-15))\/(2\/(-3))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -668 (b) 435 (c) -28\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by ((-4)\/(-12))\/((-2)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/3*(-1113)\/1855\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367976381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = -4*j + 5*j. Suppose 0 = -a + 2, -3*r + j = -2*a - 2*a. Let d = r + -44. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*x = 118, -2*q - 92 = -5*q + 2*x. Solve 5*z - q = -n, 6*n - 4*n - 3*z = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(33\/6)*3\/(3\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 232 = -2*n + 244, -6*c = -3*n + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3575*n + 3575*n + 7*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**3 + 9*t**3 + 5*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7361.946 millennia in centuries?\nAnswer: 73619.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -255495 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -3505*n**4\/6 + 7233*n**2\/2 - 6*n + 1. What is the derivative of l(o) wrt o?\nAnswer: -14020*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -114, -5.3, -1\/3, 0.3, 4 in ascending order.\nAnswer: -114, -5.3, -1\/3, -1\/4, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17258.2 grams in kilograms?\nAnswer: 17.2582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/(-6) + (-4)\/6. Let c(n) = n - 2. Let y(o) = -3 - 3*o - 2*o + 9 + 5. What is x*c(d) + 4*y(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 338*l + 536*l - 198*l + 0 - 44*l**2.\nAnswer: -44*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2 + 0*r**3 + 5*r**2 - 3*r - 5*r**2. Let t be c(-1). Let u(d) = 3*d**3 - 2. Let v be u(t). What is the highest common divisor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to -1064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 51*i**4\/4 - 3*i**2\/2 + 12*i - 304. What is the second derivative of q(r) wrt r?\nAnswer: 306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 41. What is a(2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2503 - -906095\/22527. Let d = 40 - h. Suppose 26 = -1211*m + 1207*m + 3*t, -m = 4*t - 22. What is the second smallest value in -0.9, d, m?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = -z + 12, z - 10 = -t. Suppose z*l - 133 = 3*l. Suppose u = l + 29. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4873579?\nAnswer: 4873579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3206415707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -12.7, -1\/7, -7, 0.3 in increasing order.\nAnswer: -12.7, -7, -1\/7, 0.3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -63. Let h = 23.8 + -24. Sort -0.5, -3, o, h in decreasing order.\nAnswer: h, -0.5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 3:35 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 0, -1\/12, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20312 (base 5) to base 11.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-1333)*10\/6)\/((-300)\/(-360))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*j - 793*j + 398*j + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -5*o - 18. Suppose -3*z + 12209999 = x, 2*z + o*x + x = 8139996. What is z rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 + 22. Suppose -5*u - 160 = 5*a, 0*a - 3*u - 201 = 6*a. Is k greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*10\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 35402886\nAnswer: 1062086.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-8))\/(-7)*-20. Let i be c - (2 + 1 - 0). Let s(l) = l**3 - 8*l**2 + 8*l - 10. Determine s(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/40 + f**3\/3 + 2*f**2 + 4*f. Let k(a) be the first derivative of h(a). Find the first derivative of k(p) wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/40 + z**3\/2 + z**2\/2 - 2*z. Let c(b) be the first derivative of r(b). Differentiate c(y) with respect to y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in -23636, -3\/13, 5?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1650052 times 0.4\nAnswer: -660020.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63233*u**2 - 93533*u?\nAnswer: -126466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128689 is divided by 122409.\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36261, -288, -1 in descending order.\nAnswer: 36261, -1, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3)\/a**(2\/23)*(a*(((a*a*a**5*a)\/a)\/a)\/a*a*a)\/(a*a**(-14)))**26 assuming a is positive.\nAnswer: a**(11310\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33829 + -28545. What are the prime factors of z?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41224 plus 31457051?\nAnswer: 31415827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*g + 1 = -2, -5*h + g = 10. Let s(f) = -10*f**2 - 123*f + 96. Let n be s(-13). Put h, n, 1, 3 in descending order.\nAnswer: n, 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let f = -3\/122 + -223\/854. Which is the nearest to 1? (a) f (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.5, 2\/3786059?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/13)*t**(-4)*(t**0)**48)\/((((t*t**(-3)*t*t)\/t)\/t)\/t**(-2\/3)*t**(-3\/7)\/t*t**5) assuming t is positive.\nAnswer: t**(-1682\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6581*f + 5366 = 6643 - 53925 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - 5*s**2 + s**5 + (s - 2*s + 0*s)*(-s**4 + 0*s**2 + 0*s**2) + 32*s**5 + 2 + s - 2*s**5 + 6*s**5 - 2*s**3.\nAnswer: 38*s**5 - 2*s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 5 + 5)*(64 - 64 + 26*d)*(-8 + 8 - d).\nAnswer: -104*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/5 + 384184*g**3\/5 + 18449284042*g**2\/5 - 36900104836*g\/5 = 0?\nAnswer: -96047, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1764.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -74.8. Let i = -1083 + 1153. Put h, i, 5, 1\/4 in ascending order.\nAnswer: h, 1\/4, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, 0.4.\nAnswer: -3, 0.4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3969229 months in millennia?\nAnswer: 0.000199743575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5075957082.\nAnswer: 2, 3, 7, 127, 951623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 3. Let y be h(4). Let u = y - 3. Let g(c) = -c**2 + 3*c + 3. Let j be g(3). Solve -w + 8 = u*k - j, 4*k - 5*w = 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1998 + 3038 - 4448)*(2*a - 5*a + 4*a) in the form o*a + c and give o.\nAnswer: -3408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3537495 by -139.\nAnswer: -3537495\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 22*k + 78. Suppose 29*f + 465 = 88. Let w be o(f). What is the greatest common factor of w and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4654890.0159 + 4655084. Let x = d - 194. Round x to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39376, 39352, 39338, 39340, 39364?\nAnswer: 39416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74250 or 222752\/3?\nAnswer: 222752\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 8. Let z = c + -2. Suppose a - 2 = -z*a. Calculate the greatest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -791, -5, 1 in descending order.\nAnswer: 1, -5, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1513398 - 10613583\/7. Let c = -2820 - l. Calculate the common denominator of c and ((-141)\/9 - -2) + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11))**(1\/31))**(5\/9) assuming p is positive.\nAnswer: p**(10\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308175167?\nAnswer: 17, 18127951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - x - 2*x - 8 = 0, 0 = 3*x. Let r(t) = -3*t - 1. Let b be r(w). Let n(y) = 2 + 3 - 3*y + b*y. Calculate n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 95*b**2 - 7*b + 5. Let a be 0 - -4 - 2\/4*0. Is r(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q + 1. Let d be j(1). Let z = d - -12. Suppose -z*t + 15 = 2*a + a, 3*t + a - 13 = 0. Calculate the remainder when 14 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}