diff --git "a/data/dm_maths/full_data_1/1406_11255.jsonl" "b/data/dm_maths/full_data_1/1406_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1406_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the ten millions digit of 1172317489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/773 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 68545?\nAnswer: -1370900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/217 in -6, -3\/2, -111?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 354 - 0?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/23 + 11\/161. Let u = -7 - -5. Let l = -2.5 - u. Is w > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w - 13*w + 3600 = -23*w - 10*w for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3 + 8, b - 8 = -w. Let l = b - 11. Let r(p) = 6*p - 229. Let j be r(39). Sort j, l, 0 in increasing order.\nAnswer: l, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-98)\/35)\/((-2)\/(-10)). What is the common denominator of -24\/5 and 1\/r*(-94 - -8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 3, y: 6, c: 3, x: 2}. Give prob of picking 1 t, 1 y, and 2 o.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1495.911 years to decades.\nAnswer: 149.5911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -34, -85185 in decreasing order.\nAnswer: 10, -34, -85185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50370, 50271, 50172, 50073, 49974, 49875?\n\"Answer: -99*y + 50469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*d = -12, -2 + 16 = 4*n + 3*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11556 is divided by 1050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 10515 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -27. Suppose 0 = -g + s + k + 3, 5*s = -3*g + 44. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from jncnjnjjcqjcxjjjc?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5, 3*q - 4*w - 364766 = 31856. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 - 3*r**2 + r**2)*(3*r + r + 1 - 5*r).\nAnswer: 9*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4315?\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 7293*m + 72942\/5.\nAnswer: -3*(m - 12157)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.634 and 7.6?\nAnswer: 4.8184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:02 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2613748013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*x = 91, 3058*b - 6108*b + 3045*b = -5*x + 115 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noso when four letters picked without replacement from snwonowsooonnooooooo?\nAnswer: 44\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srt when three letters picked without replacement from trksrkkkkksrkkrrks?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 9*x**2 + 196*x - 1788. What is the lowest common multiple of 78 and g(9)?\nAnswer: 18642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34be - 15d7?\nAnswer: 1dd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6469261 is divided by 684?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1}. What is prob of picking 1 t and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2058975441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from zzyyyyyyzzyzyyyy.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(114)*-1*1 + sqrt(114))\/sqrt(6) + -6*(6*sqrt(76) + sqrt(19) + sqrt(19)).\nAnswer: -84*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -21 (b) 2 (c) 16917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15990 or -15986?\nAnswer: -15986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 259*c**2 - 7*c - 96. Is f(-14) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 670856.6ml?\nAnswer: 670.8566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 37. Calculate the remainder when y(-2) is divided by (1 - 3 - -15) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) 2823 (c) -348 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15744 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/23 - 33244*v\/23 - 138145442\/23.\nAnswer: -2*(v + 8311)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8886 + -31501.364?\nAnswer: -31483.4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.78 - 44.7. Round h to zero decimal places.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d**2)*(38199 + 16238 - 24870 + 7532 + 45054).\nAnswer: 82153*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3192 and -11\/7448.\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48326 and 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(70)*-2 + sqrt(70))*-5)\/(sqrt(640) - -4*(sqrt(640)*-2 + sqrt(640))))**2.\nAnswer: 8575\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.57 - 26.97. What is the third smallest value in p, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3 - 3 + 9*f - 7.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (24 - (-7 + 15)) + 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 592 divided by 2\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -266524646.7 rounded to the nearest ten thousand?\nAnswer: -266520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.3 + 8. Let i = f - -2.2. Which is the nearest to i? (a) 1\/2 (b) -2\/17 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 11) in base 9?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.9 - -21.74. Let t = -1.54 + l. Which is the nearest to -1? (a) -2 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from vvvvkvkvvkkkkvkkkv?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 5 + 1*sqrt(200)) + 3*(-2 + sqrt(200)*-2)*2.\nAnswer: -160*sqrt(2) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 75.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*i = -240, 12*q = 8*q - 4*i + 324. Suppose 0 = 72*f - q*f + 438000. What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 30*f**2 - 4*f + 123. Let n be x(30). Sort -3, 11, 5, n in descending order.\nAnswer: 11, 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229396 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -29*r - 972. Determine a(-7).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 34 + (9 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8960 - -8956. Let f(b) = b**3 - 4*b**2 - 4*b + 6. Let i be f(4). Sort 5, i, c.\nAnswer: i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 291 = -f - 124, 4*t - 1676 = 4*f. Let s = f + 436. What is the remainder when 688 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000240755 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2172084 + 2172084 - 225*r**2 + 221*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus -0.04224?\nAnswer: -0.13224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 86*j**3 - 564*j**2 + 1160*j - 784.\nAnswer: 2*(j - 2)**3*(j + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/89? (a) -8\/15 (b) 3 (c) -4\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47\/2 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:01 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 - 8*a + 2. Let y be k(2). Suppose -23*d = -y*d - 15. Suppose -d*s - 4*n = -11730, 0 = -5*s + s - 4*n + 15640. Round s to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 7599384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Let c = 5976 + -29879\/5. What is the biggest value in c, -0.1, b, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*g + 14 + 5 - 19 in the form x + b*g and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9489618029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 + 2*d**2 - 1. Let l be j(1). Let h = -1.91 - -0.91. Which is the biggest value? (a) h (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -x, 2*x - 3*s = 7. Let r(b) = -b**2 + 15*b - 12. What is the units digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 527463317 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*m**6 - 7*m**4 + 11*m**2 - 17*m.\nAnswer: 2880*m**3 - 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q*q)**(-15\/4) assuming q is positive.\nAnswer: q**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -29. Calculate the greatest common factor of w and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 550 (b) 8\/9 (c) -1\/4 (d) 1\/10 (e) 0.3 (f) 1 (g) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/9, -1, -3\/5 in decreasing order.\nAnswer: 1, -1\/9, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 302. Is w(0) 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) 2\/61 (b) -0.03 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let v = -39336.4 + 39336. Sort v, 3, w, -16 in ascending order.\nAnswer: -16, v, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 133 - 19. Suppose 5*o = 3*o - b. Let p = o - -29. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4321*v**3 - 3*v**2 - 4*v + 11. Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k + 12 - 641*k**3 + 11*k**2 + 640*k**3 + 5*k. What is the tens digit of d(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 0.071\nAnswer: -24.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*u = u + 69, 0 = -w - 6*u + 46. What is the highest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.08186 centimeters in micrometers?\nAnswer: 880818.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:49 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:27 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182163.\nAnswer: 3, 41, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2042 (base 5) to base 3.\nAnswer: -101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3018 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.49 and -25.2.\nAnswer: -591.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 807922*z + 993*z**2 - 267*z**2 - 807922*z.\nAnswer: 726*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -99, -477 in ascending order.\nAnswer: -477, -99, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/40)\/(210\/(-420))*(-19)\/((-399)\/14)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 68) + 6 + (0 + 5 - 11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 - 2*y**3 + 3*y**2 - 6*y - 2. Let c be h(4). Is 1\/(-5) + c\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 135 + 445 = 0. Suppose 0 = -5*g + 3*y + 300 - p, 0 = g - 4*y - 30. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-7 + 4)*4\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2 + 2*l + 1. Is x(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - -2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b07 (base 15) in base 3?\nAnswer: 10220020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.031 - 0.069. Let y = 0.2 - m. Which is the second smallest value? (a) y (b) -0.05 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.306686ml to litres.\nAnswer: 0.003306686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1996812\/(-210))\/(3208\/(-2)). Let r = -1\/2005 - y. Calculate the common denominator of 149\/60 and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*o = -x - 2, -6*x - o - 11 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 125.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*1)\/(-2)*-5. Let g(y) = 9*y**2 - 5*y + 17. Let t(o) = -5*o**2 + 3*o - 9. Let r(i) = -6*g(i) - 11*t(i). Determine r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 11 + 5 - 2. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 258604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 7:41 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*8\/64*(-7)\/((-63)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 1 + 5, 0 = -c + 4*h + 3. Suppose -21*g + 55 + 50 = 0. Let t(u) = 12 + 23 + g*u - 4*u**2 + 18 - 46 - u**3. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 1 + 2 + 3 + a. Let w(h) = -h + 1. Let o be w(5). Let t be f(o). Let c(k) = k**3 + 7*k**2 + 5*k - 8. Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)*(-26)\/4. Let i = w - -15. Calculate the remainder when i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 16\/3, -4, 3, -0.3, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*k - 720 = 0, -4*f + 732 = -5*k + 169. Let w = f - 146. Which is the nearest to w? (a) -1 (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zzttzzzzzzzt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/99 and 79\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4864 (base 13) in base 6?\nAnswer: -115154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -17.7. Let h = -779 - -776. Which is the third smallest value? (a) -14 (b) h (c) 2\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -26 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in hours?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + 0)*(-3 - 1 + 5)*(-1 + 2*j**3 + 1).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1353*h**2 - 7*h + 9*h - 2*h.\nAnswer: 1353*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (2 + sqrt(17) + 0) - (1 + sqrt(2448) + sqrt(2448)))**2.\nAnswer: 144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14628 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 2}. Give prob of sequence ii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9507 and 9.\nAnswer: 28521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1\/4 (c) 0.1 (d) -0.11 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-3310\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 1. Let f(z) be the third derivative of -z**5\/30 - 7*z**4\/12 - 7*z**3\/3 + 1196*z**2. Give 2*f(l) - 28*w(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let v(q) = 44 - 95 - q + 52. Suppose 3*w = 7*w. Let t be v(w). What is c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2\/15*f**6 + 0 + 0*f**3 + f + 0*f**5 - 5\/12*f**4 - 2*f**2. What is the first derivative of v(b) wrt b?\nAnswer: -16*b**3 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -130. Let h = 4159\/3 - 1349. Let x = h - u. What is the second biggest value in -3\/5, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99160?\nAnswer: 2, 5, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42811381, 42811380, 42811379, 42811378?\n\"Answer: -a + 42811382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 19*f + 6. What is the closest to 0 in f, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5347*l**2 - 5333*l**2 + 15971*l**2 - 5297*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -5, 2, -14 in descending order.\nAnswer: 35, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1013159, 1013161, 1013163?\n\"Answer: 2*d + 1013157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -75546 (base 9) to base 14\nAnswer: -1432b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - s - 32, -3*s + 0*s = -n. Let y = 127 - n. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 7*z - 5*v - 14 = 0, 0*z - 5*z - 24 = 5*v + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1662 - 1521. What is the highest common divisor of o and 2162?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.20852ml in litres?\nAnswer: 0.02620852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27355 and 5795.\nAnswer: 31704445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23660 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - -2*sqrt(2448))**2 + 3 + -4*sqrt(2448)*1 - 6*-6*sqrt(2448)*-2)*-4.\nAnswer: -88140 + 3648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 - 3 = 0. Sort 11, g, 0 in descending order.\nAnswer: 11, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32999*j**3*n*o**3 - 3738*j**3*o - j*n*o**2 + n*o**3 - 2*n wrt o?\nAnswer: -197994*j**3*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766798.708470710436 - 6.638470870436. Let r = n + -766792. Let p = r + -0.07. Round p to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 1:23 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 13) to base 8.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141.8 + 473.2. Let g = l - 618.2. Round g to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -281. Suppose -4*b - 4*g = -u, g = -3*b - 3*g + 92. Let v = 1302\/17 + -9073\/136. Calculate the common denominator of v and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*d**3 - 406*d**2 + d wrt d.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6)*(-5 - -2). Suppose m*p + 8*b - 5584 = 3*b, -3*p + 4157 = -4*b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34033 or -34039?\nAnswer: -34033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -v - 74. Suppose 0 = -v*h - 4, -2*x - h + 24 = 3*x. Calculate the remainder when 19 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, 5, 2\/999?\nAnswer: 2\/999","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 4*c - 4*c. Let v(t) = 12*t - 25*t + 12*t + 3*t. Determine u(v(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -26*y**2 - 7*y - 999. Let r(a) = -18*a**2 - 5*a - 666. Determine 7*r(v) - 5*s(v).\nAnswer: 4*v**2 + 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -3\/5, 75, 28?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/955, 2, -5, -0.046?\nAnswer: -2\/955","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3982\/79 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 580*u**2 + 28306*u\/7 - 4624.\nAnswer: 2*(u - 1)*(u + 8)*(u + 2023)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q**2 - 28*q - 2. Calculate h(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234350180 or -234350178?\nAnswer: -234350180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25575281\/3220 + -55599\/7. What is the common denominator of i and -83\/52?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - g**4\/24 - 49*g**2. Let w(n) = -10*n**2 + 8*n + 4. Let b = 4 + -5. What is b*w(x) - 8*j(x)?\nAnswer: 2*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*m - 0*q - 270, 0 = -3*q + 9. What is the common denominator of 15\/44 and (5 - 0 - 2)\/(m\/112)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let p(c) = 4939*c**2 + 9*c + 2. Calculate p(h(a)).\nAnswer: 4939*a**4 - 9*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1, -732, 10 in descending order.\nAnswer: 10, -1, -33, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -264*q + 678. Let z be n(2). Solve -5*w - 155 = -z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 + 376 = -11*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19887 = 40*a - 40793. Does 92 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(3)*3 + sqrt(16) + sqrt(1024)*3)\/(((sqrt(88) - sqrt(88)*2 - sqrt(88) - sqrt(88))*6)\/(sqrt(176)*-5)).\nAnswer: 280*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000301144119 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - -7 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22*q**2. Let j(r) = -r - 2. Let s(o) = -5*o - 9. Let y(d) = 9*j(d) - 2*s(d). Give p(y(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.36 + 53.36. Sort n, 0.2, 1\/6, -4, 3 in increasing order.\nAnswer: -4, 1\/6, 0.2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0792 from -79.\nAnswer: -79.0792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23302 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b**2 - 37*b**2 - b**3 - 2*b**4 + 53 + 12*b**2 + 3*b**3 - b in the form y*b + c + v*b**2 + x*b**3 + d*b**4 and give c.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/6 or 1588?\nAnswer: 1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -4484?\nAnswer: 1\/2242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 2, v: 4, f: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02724284297 rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350548 - -5258222\/15. Suppose 11 = -5*z + 36. What is the nearest to 1\/8 in z, -1\/5, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42149477?\nAnswer: 17, 2479381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1126, 2951, 9746, 19259, 31490?\n\"Answer: 1359*m**2 - 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -35552 * 0.05\nAnswer: -1777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(24)*-2)\/sqrt(12)*1)**2 + (-2*(sqrt(18) + 3 + 0 + sqrt(18)))**2.\nAnswer: 144*sqrt(2) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1005385 + 175586\nAnswer: 1180971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 28 = 3*c - 10, 0 = -2*c - 4*n - 28. Let o = c - -16. Suppose b = -3*a + 2*b + 28, -a = -b - o. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 13368*f**2 - 80316*f + 120528.\nAnswer: 4*(f - 3)**2*(f + 3348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 0.056, -0.5, 1.\nAnswer: -0.5, 0.04, 0.056, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-1 - -2)) + (-498)\/130. Let t = c + 92\/455. Calculate the common denominator of 9\/5 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 1. Suppose -r - 14 = -3*a, 2*r + 7 = 38*a - 39*a. Let g(b) = -2*b - 3. Calculate a*g(j) + 7*i(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 35, -52, 0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23975 and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 40*i - 375. Let t be m(-23). Solve h + 3*h = 5*y + t, -4*y - 19 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 24*y**3 - 39*y**2 - 18*y = 0. What is y?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(204) - 2*sqrt(204)) + (sqrt(204) - (-3*sqrt(204)*-1 - sqrt(204))))\/(-1*-3*sqrt(972))*-3)**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 603 and 6?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -398*f + 27 + 22 - 49 to the form r + n*f and give n.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2801.5*0.591\nAnswer: 1655.6865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t + 12, -5*p + 4*t = -2031. Suppose -5*s + 47 + p = 0. What is the greatest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + v + 82 = 0, 0*f - 3*v + 90 = -3*f. Let w be -1 + -1 - (f\/7 + 0). Suppose -4*t = -5*t - 5*i + 45, -180 = -4*t + w*i. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18879994*c + 6. Let l be h(-1). Round l to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-15)*(6 + -3). Let z be ((-9)\/12)\/(-1 + 7). Which is the closest to t? (a) 2 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(5\/6)\/d*d*d*d*d)\/d)**(9\/2)\/((d\/d**28)\/(d*(d*d**(-15)*d)\/d*d*d*d*d)) assuming d is positive.\nAnswer: d**(177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 22. Suppose 144 = 4*j - 3*u, -4*j + 2*j + 70 = -u. What is the greatest common divisor of j and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175122817.\nAnswer: 11, 1759, 60733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, c: 1, b: 3}. Give prob of sequence rrrc.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (37 - (12 - (4 + -3))) + 12 + 0\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 23166, -2, -5 in descending order.\nAnswer: 23166, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -0.0152 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -37. Factor -5*b - 3*b**4 - 8*b**3 - 15*b**s - 4*b**3 - b.\nAnswer: -3*b*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 9*m - 16*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 + 64*j - 193\/3 = 0 for j.\nAnswer: -193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 12. Let k be b(9). What is d in -12*d**3 + 8*d**2 - 5*d + 5*d + 4*d**2 + k*d**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**4*x + 6*f**4 + 5*f**3*x - f**2 - 74*f*x wrt f?\nAnswer: 72*f*x + 144*f + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 - 2263558.\nAnswer: -2263481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 + 3*y - 2. Let u be o(-4). Suppose c - 14 = -u. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)*(6 + 303\/2). Let t be 279\/c + 9\/15. Which is greater: t or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**4 - m + 0*m**4 - 3*m**4 - 6*m wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 13*j**3 + 264. Let c(i) = -8*i. What is c(a(r))?\nAnswer: -312*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 1. Let q(w) = -w - 1. Let p(g) = k(g) - 4*q(g). Suppose 0 = -4*y + 6*y + 14. What is the remainder when p(y) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:21 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = c - 7*c. Let w be -2 - 75\/3*1. Let g = c + w. Does -2 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 235*q**2 + 3*q**3 + 1 + 237*q**2 as m + h*q**2 + b*q + t*q**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - -3) + 4 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 18. Let j be (-10)\/45 - (-454)\/h. Suppose 0 = -3*i + 6*i + 4*o - j, -4*i = -5*o + 8. Solve 0 = i*s + 4*p - 1, 1 = -2*s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5 + 0 + s + 0. Suppose 0 = 3*u + 13 - 4. Let c be (-18)\/u - 4\/2. Determine t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10745769*h**4*m - 2*h*m**2 - 68*m**2 - 20218*m wrt h.\nAnswer: 42983076*h**3*m - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -827425, -827427, -827429, -827431?\n\"Answer: -2*j - 827423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203854299 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*2 + sqrt(84)*-2*-3)\/(sqrt(192)*-5 + (sqrt(108)*1 - sqrt(108))).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*d - 5*u, -3*u = 2*u + 40. Solve 331*o + d = 319*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 501*o**2 - 71*o + 16. What is the hundreds digit of c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/105 + (-44)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 4*f**2 + 3*f - 3. Let a be p(4). Let c(h) be the second derivative of -h**4\/12 + 7*h**3\/6 - 3*h**2 - 2951*h. What is c(a)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3086 times 128.53\nAnswer: -425.254358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -0.02 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9196 - -15053. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*b + 392*b - 100605 = 0. What are the prime factors of b?\nAnswer: 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -1515.\nAnswer: 1515.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:06 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**4 + 2*i**3 - 2*i**3)*(844 + 2299 + 135) to d*i**3 + k*i**4 + t*i + x*i**2 + y and give k.\nAnswer: 3278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5048 - 5045. Solve -4*v - 5 = -m*g, 0*g + 1 = v - 3*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-532)\/57*(-1 - 23\/(-2)). Is (11794\/6 + 0)\/(b\/(-294)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -54. Suppose 4*s + t = 444, -t - 4 = -f*t. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 26 + 51 = 0. Suppose 0 = -2*p + 5*b + 33, 0 = 3*p + b - 0*b - 7. Which is greater: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.437 - 84.4034. Let k = g + 55. Round k to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**3 - 1445. Let i(a) = a**2 - a. Let k be i(2). Let b(y) = 8*y**k + 1 + 1 - 2. Calculate s(b(u)).\nAnswer: 384*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8709869?\nAnswer: 7, 211, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35155 and 5340.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-43)*y)**35*(y**(-20)\/y)\/y**46 assuming y is positive.\nAnswer: y**1508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -575 - -593. Let z(v) = v**2 - 4*v + 4. Calculate the remainder when a is divided by z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*133\/399.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*y**3 + 667*y wrt y?\nAnswer: 1128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -7) + 0\/29. What are the prime factors of (-140)\/(2\/(50\/f*-3))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r - 4 = -2*c, 2*c - 4 = 4*r. Suppose f = -3*z + 15, r*z - 26 = -2*f - 5*z. Solve 4*o - 11 + 31 = 4*j, 20 = f*j - 4*o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 485*n - 110646. Give b(229).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44123867 to the nearest integer?\nAnswer: 6643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 88\/5 of a micrometer?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 371089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a**3 + 3 - 4*a**2 - 2*a + 2. Let k(s) = 2*s**3 - 3*s**2 - s + 2. Let d be k(2). Is n(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = -2*a - 5*l, 2*a + 16 = -3*l. Let f(q) = -5 - 2 - 1024*q - q**3 + 1022*q + 4. Determine f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990596297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 0. Solve 4*b + x = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**2 + 9*v - 2. Let m(i) = 7*i**2 - 5*i + 1. Let a(d) = -3*h(d) - 5*m(d). Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2053 and -0.683?\nAnswer: -0.1402199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(171) - (sqrt(171) + sqrt(171) + 1*sqrt(171))**2)*5 + (1*sqrt(171) + -3 - (-4*(sqrt(171) + 0 + sqrt(171)))**2) + -1 + -1.\nAnswer: -126374 + 228*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 - 2*h + 1. Let j be x(1). Suppose 13 - 33 = j*c. Let d(v) = v**2 + 4*v + 5. Calculate d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:50 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -50. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c**3 + 5*c**2 - 100*c - 7. Let t(r) = -4*r**3 + r**2 - 3*r - 1. What is -d(g) + 5*t(g)?\nAnswer: -39*g**3 + 85*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2224 - 2191. What is the least common multiple of z and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/2)\/(12\/(-72)*3) - -81?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1013083 and 71\/24.\nAnswer: 24313992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1488, -2899, -4764, -7077, -9832, -13023?\nAnswer: -16644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q + 0*q**2 - 8*q + q**2. Let p(x) = 104*x**2 + 39*x - 39. Let s(u) = 13*u**2 + 5*u - 5. Let i(g) = -5*p(g) + 39*s(g). Calculate i(j(w)).\nAnswer: -13*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -168265\/737 > -227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + (-44 - -47) + 79?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g + 12. Let y be o(-10). Solve 0 = y*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*p = -2*f - 1041, -644697*p = -5*f - 644696*p - 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49022 is divided by 23592.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 321, 7, 3, 1\/376?\nAnswer: 1\/376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -234111220?\nAnswer: 234111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) 1\/43 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015300114 rounded to 7 dps?\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13203 + 31?\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -4. What is the greatest common factor of g and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.59, 5, 2.223, -4 in descending order.\nAnswer: 5, 2.59, 2.223, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712148795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -211 - -215. Solve 5*a = -4*v - 13, -2*a - d = -3*v - 3*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/756 and 151\/4548.\nAnswer: 286524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*k + 34 = -28, -k - 4 = 0. Let j = 28 - z. Factor 2\/3*m + 0 + 2\/3*m**3 + 4\/3*m**j.\nAnswer: 2*m*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, f: 1, z: 2}. What is prob of picking 1 f and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:13 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/42*105\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 + u - 4. Let q be r(9). Solve q*z + i + 30 - 11 = 0, 4*z + 4 = 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6909\/7644 + 2\/(-13))\/(2\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62733622 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31358071.\nAnswer: 41, 47, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**6 - 1217*j**3 + 191*j**2 - 2*j?\nAnswer: -360*j**3 - 7302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14137.\nAnswer: 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23147.7372ms in days?\nAnswer: 0.000267913625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8600*s**2 - 2*s - 17625 wrt s.\nAnswer: -17200*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11370866 is divided by 67.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*(-1)\/((-48)\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-35720)\/16*(-28)\/35 and 3.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 7*z. Let s be (1 + -1)*(-1)\/z. Let q be -1*(-7 + 2 - -1). Solve 4 = -2*g - t, q*g + s = t - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 317407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 513009349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3\/2, 3\/358, -0.0036?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.1 - 12.9. Let q = -18 - y. Let n be (-1 - 10\/(-12))*(-69 - -73). Which is the closest to n? (a) 3 (b) q (c) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 104*d**4 + 2*d**2 + 13*d - 1. Let s(g) = -208*g**4 - 5*g**2 - 25*g + 2. Let x(a) = 5*i(a) + 2*s(a). What is the second derivative of x(q) wrt q?\nAnswer: 1248*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 54 - 86 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-414)\/216*(-3432)\/29601.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.1 (b) 3\/2 (c) 2 (d) 7599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4242*a**2 - 2*a + 2*a - 956*a**2)*(4 + 2 - 4).\nAnswer: 6572*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19292 (base 14) in base 13?\nAnswer: 22c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*-3)\/sqrt(2).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -2*y - 1970, -3*n - 1946 = -4*y. Let d = 973 + n. Calculate the remainder when d is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.73 and -0.5137.\nAnswer: -11.162701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**2 + 0 + 0)*(-6 + 6 - 1)*(z + z + z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let v(p) = 3*p - 7. Let a be v(m). Suppose 133*b + 24 = 139*b. Solve a*t - b*j = -8, -4*t + 6 = 4*j - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4245511 > -4245512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*l + 370, 59 = -3*g + 2*g + 4*l. Is g less than or equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.6 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0957857 centuries in decades?\nAnswer: 0.957857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27679 - 27660 + 110688 - 4*w - 27676 - 27673.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*k + 3. Let m be (-3351)\/(-126) + 3\/(-6). Let i = m + -26. Which is greater: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n**3 + n**2 + 3*n + 2. Let b be a(-1). Suppose 2*o = -2*y + 3*o - 21, -y + 4*o - 21 = 0. Let i = y + b. Put -5, i, 29, -4 in increasing order.\nAnswer: -5, -4, i, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -11b843?\nAnswer: 11b842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -966 - -1398. What is the highest common divisor of 48 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/4 (b) 1 (c) -371\/8 (d) 1\/6 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-1*-4)\/(-1*sqrt(847) + sqrt(847) - sqrt(847)) + -4 + -3 + sqrt(5) + sqrt(5)*-1 + sqrt(5) + sqrt(560)\/sqrt(7) + -4)**2.\nAnswer: -102*sqrt(5) + 27646\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 911, 1319, 1607, 1775?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0419 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 5. Let x be h(0). Let n = x - -5. Suppose -26 = -o + 5*u, o + n*u - 26 = -3*u. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 + 1. Let d be s(1). Let u be 0\/(0 - (d + -1)). Let f(n) = n**2 - 5*n + 3*n + n. Calculate f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 20*s - 216. Suppose s*g - 55 = 2*g. Suppose 3*q + 45 = g*b, -b + 9 = 5*q - 0*q. Calculate the greatest common divisor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 - 125. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 469733*s**5 - 2 - 6*s**3 + 470782*s**5 + (0*s**4 + 2*s**4 - 4*s**4)*(2 - 2 + 2*s) - s**5 + s**4 - s**4.\nAnswer: 1044*s**5 - 6*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -24198*a**3 + 3*a**2 + 10*a + 9. Let u be w(-7). What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 + 12*u - 9. Suppose 0 = -4*o + 49 + 83. Calculate the remainder when o is divided by z(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -13. Let m(t) be the first derivative of 0 - 1 - f*t**4 + 2*t**2 + 5*t**4. What is the second derivative of m(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-55)*(-15)\/25 + 1152\/(-3256)\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:57 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:54 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - d + 1. Let f(z) = -z**3 + 5*z**2 - 4*z + 5. Let x(k) = -5*c(k) + f(k). Let i(b) = b - 2. Let m be i(2). Let j be x(m). Is j >= -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593.8 times -0.1\nAnswer: 59.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 294659 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171555 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85429067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -150*f**2. Let t(r) be the third derivative of 13*r**5\/30 - 24*r**2 + 4*r - 5. What is t(z(v))?\nAnswer: 585000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 55 = -10*w. Suppose -c = 2 - w. Let q be (c\/(-27))\/(1\/(-3)). What is the highest common divisor of 8 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(153) - sqrt(153))**2 + -1 + (-3 + sqrt(68) + sqrt(85)\/sqrt(5)*-2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110.51 - -110. Let n = g + 0.18. Let p = -0.3205 - n. Round p to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.50871 rounded to two dps?\nAnswer: 11.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018766 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 4*36\/(-27). Let z = -2.9 + 3. Let i = z - -0.1. Is i at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n - 19 - 20 = -39 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (4\/10)\/((-3)\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and 3.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1799984 at least -1800029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, 0.5506727?\nAnswer: 0.5506727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.13, -1.3, 1, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4*i**3)*(668 - 1351 + 682 + 789*i).\nAnswer: -3156*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 + 55*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246582 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaoboboaoa. What is prob of picking 2 o and 2 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1398.7?\nAnswer: 2797.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 23222.\nAnswer: 92888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9983*b - 3348 = -9947*b for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*l = -543, -5*o - 2*l + 730 = 2*l. Suppose -2*a = 2*k + 38, 2*a - 31 = 2*k - k. Let z = k + o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -16)*((-1680)\/160 + (-1 - -11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2972 + 120 = -2*i. Suppose -3*l - 313 = -i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 451029 or 449902?\nAnswer: 451029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:49 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -12*n**2 + 1\/84*n**4 + 0 + 0*n**3 + 1\/42*n**5 + 1\/105*n**6 + 0*n. Determine a so that c(a) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/15)\/((-1430)\/975). Put g, -0.032, -0.3 in ascending order.\nAnswer: g, -0.3, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 11660*d - 4959064.\nAnswer: -4*(d - 2398)*(d - 517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (2 - 0)) + -1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 59. Calculate the remainder when x is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326788 and 301324?\nAnswer: 23201948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 18 + 278. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from uaaayyuuuyyayy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1494 and 19422.\nAnswer: 19422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - -2*sqrt(209) - sqrt(209)))\/(1*sqrt(539)) - (sqrt(19)*-1 + -5 + (-3*sqrt(76))\/sqrt(4)).\nAnswer: 5 + 20*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 6. Let h(o) = o - 42 + 128 - 47 + 0*o - 40. What is h(j) + m(j)?\nAnswer: 3*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657283.\nAnswer: 11, 59753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18750435 divided by 3750087\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29124832811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*z + 2864 = 2914, 8*c + 3*z - 75 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -508287.4984665.\nAnswer: -508290.4984665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - 10\/(-45). Let m(x) = x - 3. What is m(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*r**4\/5 + 443*r**3\/5 - 8043*r**2\/5 + 31697*r\/5 - 1682 = 0. Calculate r.\nAnswer: 2\/7, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -138*r**3 - r. Let b be l(-1). Let k(u) = -u**2 + 7*u - 3. Let x be k(6). Suppose -h = 5*p - 160, 0 = 2*p + 2*p + x*h - b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 122207248660 - -0.0609.\nAnswer: 122207248660.0609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**2 - 104 + 104 - i**2 - i + i + (1 + 4 - 3)*(2*i**2 - i**2 + i**2) + (i - 2*i + 3*i)*(i - 6*i + 4*i).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 115\/7, -0.1?\nAnswer: 115\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2 + sqrt(2800) + -2) + 2)*-5)**2*6.\nAnswer: -180000*sqrt(7) + 3795000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-38)\/(-3) - 18\/(-54). Let m(o) = 6 - v + 5 + 2*o. Let y(r) = 2*r**2 + 54. Calculate m(y(d)).\nAnswer: 4*d**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2746)\/110 + (-540)\/14850?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = s + 3*s. Suppose -10 = -3*b + s. Solve 4*p + 0*p - 5*t = -24, 2*t - b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -184.6.\nAnswer: -187.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**3 - 18*f**2 + 12*f + 2. Let m(q) = -9*q**3 + 35*q**2 - 25*q - 3. Let o(l) = 4*m(l) + 7*v(l). What is the tens digit of o(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 21 = 35. Let b = 13 + q. Let p = 1 - 7. Sort 3, p, b.\nAnswer: p, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2412 = 109*l - 422 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.800762 days in hours?\nAnswer: 19.218288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5377 - 5377 + 991*b**3.\nAnswer: 991*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 3*c + 8*c + 5*c to u*c + g and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2628\/16 - 3\/(-4). Suppose 37 - o = -8*g. Calculate the least common multiple of g and (0 - (-11)\/(-2))*-4.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.24 and -3.9620217.\nAnswer: -4.2020217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/72 + 4\/(-18). Let x be (-3)\/((-1 + 2)\/(-1)). Suppose h - x = -0. Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let i(j) = -2178*j**2 - 6*j. Determine i(h(y)).\nAnswer: -2178*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26291, -2 in descending order.\nAnswer: 26291, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 3*r - 2*r)*(-4 + 2 + 3) - 12909*r + 32651*r - 10627*r as k + d*r and give d.\nAnswer: 9114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -34. Suppose r - 4*q + 10 = -r, 3*r = -4*q - s. Is ((-42)\/r)\/((-27)\/(-90)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23.04. Is -1\/2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.9. Suppose 4*t - 675 = -t. Let z = -537\/4 + t. Put z, l, -0.1 in decreasing order.\nAnswer: l, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/15 and -43\/376596?\nAnswer: 1882980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14477, 116113, 391985, 929213, 1814917, 3136217, 4980233, 7434085?\nAnswer: 10584893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 2*r**5 + 2*r**5 + (-586 + 132*r + 586)*(-2*r - 2*r + 2*r)*(5*r**3 + r**3 - 2*r**3).\nAnswer: -1055*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 47. List the prime factors of (-2964)\/n - (-6)\/(-4).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/(-7))\/(3\/(-8)). Let o be ((-12)\/j)\/((-3)\/(-384)). Suppose 4*x - 8*x = -o. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i + 63 - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -4 - (3 - (450 - 0)). Suppose 2*i - w = 5*r, -4*i + 2*r + 886 = 4*r. List the prime factors of i + 1 + (1 - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 31\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) - -2*(sqrt(96) + (sqrt(96) + sqrt(96)*1 - sqrt(96)) + sqrt(96))))\/(sqrt(300)*-1))\/((sqrt(2880)*2)\/sqrt(5)*-4).\nAnswer: -sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307 + 17*b + 307 + (86 - 35 + 8)*(0 + 0 - 2*b))*(-2*b + 4*b + 0*b).\nAnswer: -202*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from wyzzawea.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770.19988 rounded to the nearest 10?\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 18 + -44 - -40?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 15. Let b = l + 5. Solve -4*n + b = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w = -5*r + 95, 5 = w. Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 59*r - 11*r = 828 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302 by 22610.\nAnswer: 151\/11305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 282, 480, 716?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -736*t + 42. Let p be u(-3). Let o = -1265 + p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60488 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(4*sqrt(8)) + sqrt(448) + -5)**2 - 3*sqrt(14)\/(sqrt(4)\/sqrt(50)).\nAnswer: -195*sqrt(7)\/2 + 8023\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.14609 rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.17, 1.5, -355 in descending order.\nAnswer: 1.5, -41.17, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 346\nAnswer: -5\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*i - 3*b**3*y**3 - 2*b**3*y**2 - 2*b**3*y - 6*b**2*i*y**3 - 14*b*y**3 + 4*i wrt y?\nAnswer: -18*b**3 - 36*b**2*i - 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3161800 rounded to the nearest 10000?\nAnswer: -3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t + 1. Let a(h) = -9*h**2 + 10*h - 4. Let j(k) = -a(k) - 4*f(k). What is j(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/168 and 4\/(33180\/(-2943)) - (-17)\/(340\/8)?\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 4, -336.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u. Let b(d) = 2*d - 1. Let x(z) = -z + 1. Let a(i) = 2*b(i) + 2*x(i). Calculate a(h(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 40 + 5. Let n = 21 + j. Let t be (-7)\/n*-3 - -2. Which is smaller: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4 + 8\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168730 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47773.\nAnswer: 11, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) - (-52)\/(-6). Let h be ((-2)\/5)\/(5\/(-275)). Suppose -6 = -2*s - h. Is k greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y, -5*y - 8 - 2 = -x. Suppose -a + 5 - 2 = x. Suppose -2*t = -a + 1. Solve 5 = 4*g + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t + 47*t = 99 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*((3 + 4 - 5)*(-3 + 0 + 5) - 3 - 3 + 4 - 13 + 6 - 5)*(-l + l - 2*l**3).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 3. Let n(b) = 5*b**2 - 8. Let j(a) = -3*n(a) - 8*o(a). Let c(d) = 22*d. Calculate c(j(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 - -4. Let f = -74 - a. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**12\/p)\/p*p*p*p**(4\/5)*p*p*p*(p\/((p*p**2)\/p*p*p))**24 assuming p is positive.\nAnswer: p**(-271\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.25083ug to nanograms.\nAnswer: 81250.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 48, -5, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2 and ((-6)\/380)\/(210\/17675).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36567 and 6.\nAnswer: 73134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 - 3*n - 1. Let x = 5 - 7. Let j be a(x). Let u = 10 + j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372854400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -39, 0, 3 in increasing order.\nAnswer: -39, -1, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 5, k: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2468, -2006, -1532, -1046, -548?\n\"Answer: 6*k**2 + 444*k - 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*f = -85*f - 48000. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0437 plus 8.631?\nAnswer: 8.5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823491 is divided by 317?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 360, -6\/5 in ascending order.\nAnswer: -6\/5, -0.5, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c + 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345820 - 921830 = -13561*g + 753975 + 93920 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21702 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 5*p - 4. Let k be m(3). Suppose -k*u + z + 61 = -3*u, u - 13 = z. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02213 - -0.97787. Let b = 7 + -2. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - ((24 - -3) + -19 + 7 - -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -132a (base 11) in base 2?\nAnswer: -11010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**2 - 108\/7 - 218\/7*w - 2\/7*w**3 = 0.\nAnswer: -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70945038881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446075407 is divided by 148691798.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5359752 to the nearest ten thousand.\nAnswer: -5360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2\/2 + 2. Let a(d) = 2 + 2 + 10*d - 2*d**2 + 10*d. Let x be a(10). What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(720))**2 + sqrt(720) + (sqrt(2880) + (sqrt(2880) - -1*sqrt(2880)))\/sqrt(4) + 4*(-2 + (sqrt(60)\/(sqrt(24)\/sqrt(2)))**2 + 5).\nAnswer: 48*sqrt(5) + 752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 179, 289, 397, 503, 607?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4999 + 4995. Put -1, o, -2\/13 in decreasing order.\nAnswer: -2\/13, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1083920 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1110 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p - 76. Give a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-3)\/(-2))\/(-3))\/((-3)\/(-108)). Let d be ((-4)\/(-30)*5)\/(3\/g). Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*p + 4*l**2 - 415*l*p**3 - 219*l - p**2 - 1 wrt p.\nAnswer: 2*l**2 - 1245*l*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -29. Suppose -66*y = -68*y + 26. Calculate the remainder when y is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + -23.23. Let i = 28 + v. Let x be ((-2)\/8)\/(30\/40). What is the third smallest value in i, -0.5, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263364, 263423, 263522, 263661, 263840?\nAnswer: 264059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 6*g + 5*u + 27315, 0 = -3*g - 4*u + 16354. What are the prime factors of g?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9182612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 275 = 38*q. What is the remainder when 404 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -1 + 35 + -67 + 40?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:21 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z. Let w(u) be the first derivative of u**3\/3 + 9. Give j(w(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 9142512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*s*y**2 + y**2 + 4 wrt s?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 39. Let z be p(-17). Suppose 4 = -3*y - 2*l + 2, 5*l + z = y. Suppose -8*c + 2264 = -y*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7290.3 and -2008037.\nAnswer: -2000746.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 4*k + (0 - 3 + 4)*(k - 2*k - k) - 3*k - 5*k + 0*k)*(1 - 1 + 1)*(0 - 3 + 2).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1585 - 52310\/33. Which is the closest to 0.1? (a) 3 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161\/1520 - 1\/1520. Which is the smallest value? (a) 40 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**4\/12 + 7*z**3\/6 - 11*z**2\/2 + 2*z - 7. Let f(y) be the first derivative of a(y). Determine f(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953*l - 2008*l + 2920*l.\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1196 and 208?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.75304s in hours?\nAnswer: 0.0299314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -50 + (90 - (-23 - -9))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18664, -37328, -55990, -74650, -93308, -111964, -130618?\n\"Answer: u**2 - 18667*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162372 = -58*k - 85190 + 164620. What are the prime factors of k?\nAnswer: 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 6039, -0.7, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.1. Let m = 0.4 + y. Let p = 4 + -2. What is the smallest value in -2\/3, p, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 23*c**3 - 4*c + 16. Let y(q) = -47*q**3 + 9*q - 33. Let t = 17 + -13. Let n(b) = t*y(b) + 9*z(b). What is the derivative of n(d) wrt d?\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-32)\/(6 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*j**3*l**2 + 2*j**3 + 302*j**2 + 10*l**3 wrt l.\nAnswer: -16*j**3*l + 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6048209944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-6)*6*503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:55 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222223341.\nAnswer: 3, 5783, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*s - 1964 + 704 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u**2 - 21. Let n(a) = 3*a**2 + 4. Let z(f) = 21*n(f) + 4*s(f). Let m(y) = -2*y + 2*y - 2*y**2. Give z(m(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 14, 26, 38?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 10. Let z = 174 + -175. Is t equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 693, -4, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 6*w + 13. Let y be h(7). Let i be (-12)\/18 - (-52)\/y. Suppose 0 = -x - 4*c + 38, -2*x + i = 4*c - 52. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*f - 0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 5*j**2 + 5*j + 6. Let h be n(6). Suppose h = 3*a - 12 - 6. Suppose -a = 2*g - 2. Is -4 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.01. Let b = 3 - 3. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -17*o - 9. Let q(f) = 4*f + 2. Let k(j) = 6*d(j) + 26*q(j). Suppose -4*u = -20, 3 = i + u - 4. Let c be k(i). Solve 0 = c*w + 3 + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymys when four letters picked without replacement from symsmymsymycsmmmmymm?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, -15, 0.2, 4, 8 in descending order.\nAnswer: 8, 4, 2, 0.3, 0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.754?\nAnswer: -2.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4 + 4*b**3 + 16. What is the third derivative of m(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714169223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44 and 26851.\nAnswer: 26807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let o = m - 3. Let c be o\/3 + (-9)\/(-1). Solve 0 = i - p + 6, -3*p = 3*i - c*p + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 219950 and 11952353.\nAnswer: 12172303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (77\/154)\/((-1)\/(-6914)). Suppose -80*k + i + 383 = 0. What is the remainder when 284 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10024 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 917 = -3*h - 3153, 0 = 2*h + 7*m + 1408. Suppose 3*o + 1522 = -671. Is h equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -360 + 360. Solve -h + q*h = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*w**3 - 385*b*w + 3*w**4 + w**2 - 3 wrt w.\nAnswer: 12*b*w + 36*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 13*m + 45. Suppose -o + 8 = -b, 4*o - 4 = 3*o. Let f be c(b). Suppose -3*h = 2*x - 2 - 3, 0 = 2*h - x - 15. Solve -h*p + 1 = -f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-1))\/((-78)\/(-1508)). Let m = -54 - z. Solve 0 = -m*h + h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/4)\/(-30 + 225170\/7476).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25353733 and -0.02?\nAnswer: -507074.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 11. Let h be g(-11). Suppose h = 7*c - 9*c + 12. What is the lowest common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961384.5l in millilitres?\nAnswer: 961384500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -9.6, 5, 1 in decreasing order.\nAnswer: 5, 1, -0.4, -4, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 5. Let b be a(5). Suppose 3*j = -b*j + 9. Calculate the remainder when -3*j\/(18\/(-10)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1641?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -33*d**3 + 18*d**2 - 15*d - 14. Let n(x) = 5*x**3 - 2*x**2 + 2*x + 1. Give -h(m) - 7*n(m).\nAnswer: -2*m**3 - 4*m**2 + m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8470)\/2310*2\/(-110)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -5 (d) -124 (e) 10970 (f) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -7*f - 66. Solve -r + 3*n - f = 0, 2 = -4*r + 2*n - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -739.68 + 753. Let b = 0.32 - r. Is b < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 14. Let h = 280 + -292. Let g be d(h). Let s be (-4)\/6 + 141\/9. Solve -s = -l - g*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t - 14*t - 13*t - 2*t + 3*t - 7*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Let q be (91 - 84) + 3\/(-1). Suppose 2*m + 5*a = 0, -2*m + a = 4*a. Solve x + 2 = -m*x - y, -q*x + 6 = -s*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v + 55. What is the tens digit of k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -22. Suppose 10 - r = -4*p. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 54. Let h be f(22). What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1162 (b) -1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 27190683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + p - 46. What is the tens digit of v(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/91)\/((-10)\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 - 82881*h**2\/4 + 141679692*h + 19800944691.\nAnswer: 3*(h - 13882)**2*(h + 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-536)\/20)\/(6\/(-390)). Let z = j - 1147. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 - 3*n**2 - 7*n - 3. Let w be ((-3 + 11)\/4)\/(6\/(-9)). Is d(w) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 116 = -5*c, -c + 16 + 12 = 2*l. Suppose -c = -4*n + 2*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/58392 and -11\/82722?\nAnswer: 992664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3816573, -3816570, -3816567, -3816564?\n\"Answer: 3*m - 3816576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/13017 - 1392791\/182238. Find the common denominator of b and -13\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 + f + 2. Let i be o(0). Suppose u = 2*g - 3 + 35, -2*g = -i*u + 72. Calculate the remainder when u is divided by 13 + (-4 - (0 + -5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddyddddydy. Give prob of picking 3 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8481 - 2*o - 8481.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 474815*m**2 + 830491*m wrt m.\nAnswer: 949630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -819*r**3 + 24568*r**2 + 53*r + 209. What is y(30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1129*c + 86. What is the thousands digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573611626?\nAnswer: 2, 7, 463, 88493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 - 1906\/9. Let c(v) = v**2 + v. Let g be c(-2). Factor -2\/9 + 4\/9*t - j*t**g.\nAnswer: -2*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 2. Let y be i(-2). Suppose -y*p + 30 = -3*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d = 40*d + 66*d + 828 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (20 - 19) + -12 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01446, 2.4, 0.5, -495?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2645 greater than 2\/6257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5342346.2000022 - 5342345. Let h = l + -1.2. Round h to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + l + 18 = -3*v, 7 = v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1 - -48)*76\/114. Let x = k + -29. What is the first derivative of -24*t**4 - x*t**4 + 0*t**4 + 3*t**4 + 21 wrt t?\nAnswer: -96*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*s + 1020, -s = -5*i + 2*s + 1020. Let n = -149 + i. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 + 15*z**2 + 1 + 5*z**2.\nAnswer: 50*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:38 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 60. Let s = a - -24. What is the tens digit of ((-246)\/(-9))\/(2\/s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 23*a + 884741 = -4*x, -4*x + 2654351 = 3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14*a**(1\/4))\/((a*(a**(-3\/19)\/a)\/a)\/a**(4\/9)) assuming a is positive.\nAnswer: a**(10843\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 1652 - 102. What is the greatest common divisor of s and 30907?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 48. Suppose 0 = -5*v - 2*t + u, -2*v = v + 2*t - 12. Solve -k - v = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:46 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 4*p + 2*p)*(-2 - 2 + 2) + (-1 + 2*p + 1)*(4 - 2 - 3).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w + 6. Let f(j) be the third derivative of j**4\/24 - 2*j**3 - j**2. Let l be f(5). Let m(o) = -8*o + 5. Let y(z) = l*m(z) + 6*t(z). Give y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 3*v**3 + 148 - v**3 - 151 to the form z*v**3 + y*v**2 + h + a*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 116200 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 212, 274, 336, 398?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/55*825\/(-1980).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/17)*o**(-7)\/o)\/(o**(-1)\/o)**(-33) assuming o is positive.\nAnswer: o**(-1256\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*g + 4*g + 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 120*w**2 + 138*w + 2060. Let n be p(-121). Solve -3*j + n*q - 27 = 0, -4*j + 2*q + 10 = 38 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 522.46 + 2.34. What is l rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1162 divided by -91\nAnswer: 166\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypnv when four letters picked without replacement from pnqkvpnppkkvqvpqkvyv?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.87*0.1\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -145*a**3 + 2*a**2 - 11*a + 11. Let v(r) = 49*r**3 - r**2 + 4*r - 4. Let s(m) = -11*v(m) - 4*x(m). Find the third derivative of s(z) wrt z.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let d(g) = -5*g + 27. What is d(r(q))?\nAnswer: 5*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -694 + 686. Let l be 450\/144 + 1\/s. Solve 3 = 4*i - z - l, -2*i + 12 = -5*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*n**4 - 45*n**3 + n**2 + 11034 wrt n?\nAnswer: -132*n**3 - 135*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 + -413. Let t(p) be the second derivative of 0 - 1\/4*p**4 + 1\/3*p**3 - 7*p + p**m. Give t(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwjw when four letters picked without replacement from {j: 4, g: 2, e: 1, b: 3, w: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5769*f**4 + 14007*f.\nAnswer: -69228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - -2) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/11 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19507939*x**2 - 20152058*x?\nAnswer: 39015878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 11757886.\nAnswer: 11757886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19309 is divided by 19309.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.4616 rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 9 - (7 + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -104. Is (-4580)\/(-135) - w\/(-81) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 - 257*z + 9. Let m(n) = -5*n**2 - 129*n + 4. Give 4*h(u) - 9*m(u).\nAnswer: u**2 + 133*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*a = 35, 5*f + 5*a - 4 = -14. Suppose 3 = 3*t + j - 10, t - j = -1. Find the second derivative of -h**3 - 5*h**3 - 3*h + 3*h**t + 2*h**f wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 17a?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112)*-2 + sqrt(112))**2)) + (1 + sqrt(112)*-1)*4.\nAnswer: -2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**2*s**4 + 16*o**2*s**3 - 337*o**2*s**2 - o**2*s wrt s.\nAnswer: 72*o**2*s + 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -671, -668, -663, -656, -647, -636, -623?\n\"Answer: g**2 - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6045019.721 rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 - u**2 + 3*u + 20. What is m(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/58114116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 74*y**2 - 5*y - 115. Is 7 a factor of x(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 25*r**2 + 35*r + 18. Let c be (3\/3 + -22)\/((-22)\/(-22)). List the prime factors of a(c).\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*c + c. Suppose -4*f - 4*m + 8 = 0, -5*f + 3*m + 0*m = -c. What are the prime factors of (-24)\/(3\/f*-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4724 = 5*v, 2*v - 1443 = -2*q + 919. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 403 - 15*c + c**3 - 403 - 3*c**3 - c**2 as m*c**2 + n + l*c**3 + y*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -8.4. Let w = -0.2 - t. Which is the third smallest value? (a) w (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(4\/5)*m)\/(m\/(m*m\/(m\/((m*m**(-1\/4))\/m))))*((m\/((m*m**1)\/m))\/m)**(7\/5)*((m**(1\/3)*m)\/m)\/m**(2\/11)*m**0\/(m\/m**(-1\/10)) assuming m is positive.\nAnswer: m**(397\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -83. Calculate the remainder when 228 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/4, -12, -2\/13, 3\/13?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 125*o**4 - 39300*o**3 + 2876330*o**2 - 1145820*o + 114425 = 0.\nAnswer: 1\/5, 115, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32547 - -33046. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5. Let f = 2.9 + 1.1. Let n = f + u. Which is the third biggest value? (a) 0.5 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/4*w**2 - 1\/72*w**4 - 1\/9*w**3 + 0 - 3*w. Factor o(y).\nAnswer: -(y + 1)*(y + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754458 less than or equal to 9807948\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -5853.489683.\nAnswer: -5853.089683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1968*v. Let p(b) = -12*b**2 + 1. What is p(d(c))?\nAnswer: -46476288*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709 is divided by 1227?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17026 divided by 17058.\nAnswer: -8513\/8529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 17*u + 1. Let z be i(11). Suppose 0 = -4*p + 73 + z. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1818 and 483210?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*50\/(-2475)*(3\/9)\/((-6)\/9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -99, -228, -357, -486, -615?\n\"Answer: -129*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, d: 9, n: 1, a: 2}. What is prob of picking 1 a and 2 z?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z. Suppose z = -55*t + 51*t + 132. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*r - 84*r + 8845 - 1442 + 9658 = 0 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730897637 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18870 - 18883. What is the third smallest value in 0, 2\/7, w, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-20))\/(294\/(-168))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 53*x**2 - 3*x + 137. Let y be z(54). Suppose 15*d - y = 7294. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*x - 21, -6 = 89*y - 88*y + 2*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 5)*(-34 - 55 + 74 - 55*f).\nAnswer: -110*f - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*-3*(-3)\/9. Suppose k*a = 2*a. Let x = a - -1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 5*m - 8. Suppose 2*i - m - 12 = 0. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 326\/(-46)) + -3 + -1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-72)*1)\/(4\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 574115.67999951 + -574116.78. Let c = 1.1 + h. What is c rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = -5*v, 5*v + 4*d - 5 = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -128 + -5?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*d*l**5 + 4*d*l*n**3 - 4*d*l*n + 10*d*l + 6*l**4*n**3 - 2*l wrt l.\nAnswer: 580*d*l**3 + 72*l**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38407 is divided by 941.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffng when four letters picked without replacement from {f: 8, g: 1, n: 4}.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6)*y**(-6)*y*(y*y**(-2))\/(y**(-4)\/y*y))\/(y**(-3\/2)*y**(4\/3)\/y*(y**(-2))**(-32)) assuming y is positive.\nAnswer: y**(-347\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(4\/12 - -1). Suppose g*c - 23 - 12 = s, 3*c = -s + 35. What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s)*(7*s**3 - 5*s**3 + 3*s**3) + (3 - 4 + 2)*(-5 + 3 + 1)*(5*s + s - 3*s)*(2*s**3 - s**2 + s**2).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/30 - (-31376)\/(-160). Is k greater than or equal to -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t + 107*t + 3060 = -10*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + -1120?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 108 = -11*a. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -87*w**3 - 16*w**2 + 22*w + 141. Let s(b) = 26*b**3 + 6*b**2 - 7*b - 47. Let h(j) = 10*s(j) + 3*u(j). Determine h(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -97, -157?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*p - 77 = -5*y, 0 = p + 4. Let s be 3 - (117\/(-6))\/(-3). Let r = s - y. Find the common denominator of -121\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let k be 2\/(-4)*(-3 + -61). Let b be (2\/(-24))\/((-12)\/k). Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + w + 67504 = 19776, 0 = -5*f - 3*w + 119364. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**8\/112 - n**7\/210 + n**6\/45 + n**5\/45 - 14*n**2. Determine z, given that q(z) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-6)\/(-4) + 2 + (-716)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 1.3. Let j = -299 - -299.334. Let o = j + -0.434. What is the second biggest value in o, -0.4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 251. Let b = u + -173.927. What is b rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 10. Let k be i(-9). Let f be (-1 - -1) + 5 + -23. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 10*s + 9. What is the remainder when h(-10) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 4, -9193 = -2*r - 5*i. Is r a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076*z - 1126*z + 3291 = 691. Calculate the remainder when 787 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*j - 10 - 1, -4*j = -m + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 30. Suppose -2 = -c*n + 2*n. Let q(b) = -b**3 - 6*b**2 - 2*b + 7. Let k be q(-5). Put -5, n, k in ascending order.\nAnswer: k, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 0 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + -154. Let p(h) = 2*h**2 + h + 4. Let w be p(x). Solve 0 = -t + 3*r + 8, w*t + 3 = -r - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 431, 59 in descending order.\nAnswer: 431, 59, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 3*z)*(1 + 1 + 2*z + 0).\nAnswer: 4*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - f + 2 + 3 = 0, -3*f = -4*w - 15. Suppose 3*d - 5*d - 24 = w. Let b(z) = -2*z - 18. Let p be b(d). Solve 0 = 3*l - 0*l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.23 millennia in months?\nAnswer: 9506760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 115 + 34 + 38*z**2 + 2*z**3 + 112*z**2 + 2*z + 41 to the form u*z**2 + p*z**3 + o + g*z and give u.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - -34. Let i(f) = 2*f**3 - 7*f**2 + 5*f - 3. Let b be i(3). Suppose 38*g**b - 6 + 4*g**4 + 2*g**4 + 21*g + 9*g**5 - z*g**3 = 0. Calculate g.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 3) + 5 - (5 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 43 = 3*l, -6*l + 25 = 4*s - 43*l for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*k**2 - 60*k**2 + 1 + 4 + (-k - 1 + 1)*(2*k + 0 + 0) - 4*k**2 + 0*k**2 + 3*k**2 to the form a*k + u + w*k**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42300 + 0?\nAnswer: -42300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230667 is divided by 409?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 5\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -3 + -6 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/22 and -51\/3364.\nAnswer: 37004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -9, -4, 3, 12, 23, 36?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -5, -58 in decreasing order.\nAnswer: -5, -50, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 261\/27. Let m(w) = w**3 + 9*w**2 - 10*w - 1. Let k be m(p). What is the remainder when 15 is divided by (2 + -1)\/(k\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004305 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -47.5. Let m = r + -9.7. Which is smaller: m or 8\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651587831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - b - 3. Let d be z(4). Let f be -3 + ((-924)\/(-8))\/d. Let a = f + 197\/10. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 6 - 7*y + 10 + 7*y to the form m + b*y and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916 = -153*y + 13619. What is the highest common divisor of 50 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 5*r**8\/56 + 109*r**5\/60 - 11*r**4\/24 - 91*r**3\/6 - r**2 + 411*r + 1. What is the second derivative of y(d) wrt d?\nAnswer: 600*d**3 + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93, 30, 153?\n\"Answer: 123*v - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = -5*p, -4*p - x + 1 - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12300 - 53?\nAnswer: 12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8551 is divided by 1944?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 125870?\nAnswer: 125870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 277*k**8\/56 - 39*k**4\/2 + k + 112. What is the third derivative of z(p) wrt p?\nAnswer: 33240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**2 - 24*y - 2. Let v(x) be the first derivative of -x**2\/2 - 4018. Calculate k(v(l)).\nAnswer: -12*l**2 + 24*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o. Let z(f) = 21*f + 25*f - 51*f. Give z(l(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31b4 (base 12) in base 7?\nAnswer: -21634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9943, 39303, 87397, 153535, 237027, 337183, 453313, 584727?\nAnswer: 730735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3297)\/(-69237)*(1 + -2 + 1 + (-27)\/(-6)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1062 <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.428609 and -951123.\nAnswer: -951123.428609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -6066619?\nAnswer: 18199857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 735780.5 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/6 + w**3\/6 + 5*w**2. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493650 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*b + 305*b - 4*c + 52 = 0, -4*b - 8 = -3*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 6304 = 5235. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7, 3, -19, -14, -0.2, -2\/5 in ascending order.\nAnswer: -19, -14, -16\/7, -2\/5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puupuppppupppu. Give prob of sequence uup.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2182, -4377, -6576, -8779, -10986?\n\"Answer: -2*u**2 - 2189*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4225 and 252325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3*((-4)\/6)\/(-1). Let g(m) = -m + 2. Let k be g(2). Suppose u*y - 374 - 276 = k. Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.2 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 + -90. Suppose -4*o - 12 = -y. Let m = 13 - o. Solve 5*i + 2*t - m = -3*t, 3*i - 4*t - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 4*a = q - 190, -387*a = 1399*q - 383*a + 58778 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) -7 (b) 2\/11 (c) -1\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-9))\/(4\/12). Let q(z) = -3*z + 5. Let i be q(h). Let s(w) = w**2 + 15*w + 1. What is the tens digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*1*-2 + -2 + sqrt(325)*-2 - (4*(-1 + sqrt(325)) + -1 + sqrt(325) + 0).\nAnswer: -45*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -56. Let b = h + 23.08. Put 1, b, 0 in ascending order.\nAnswer: 0, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99040329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659282357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**3 - 16*c**2 - 20*c + 35. Let y(l) = -5*l**3 - 8*l**2 - 10*l + 17. Let j(h) = -6*s(h) + 13*y(h). What is the units digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -266239179 and -51.\nAnswer: -266239230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j = 47351 + 70011. What are the prime factors of j?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*3*(-3)\/2. Let q be ((-10)\/8)\/(1\/8). Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from rnroc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2. Let c be 5\/3 + (-10)\/15. Let d be 3*c - (-19 - -20). Let v(t) = -5*t + t + t - d*t. Calculate v(w(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20896.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3620 + -3604. Calculate the highest common factor of x and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761987597?\nAnswer: 7, 108855371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 13) to base 11.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -18*x**3 - x**2. Let c = -19 + 50. Calculate the remainder when c is divided by z(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 2, f: 1, q: 1, a: 2}. Give prob of picking 1 q, 2 l, and 1 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3061, 2464, 789, -2504, -7955?\n\"Answer: -90*m**3 + m**2 + 30*m + 3120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + l - 1296 = 0, -7*j + 2*j + 1280 = 5*l. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - (2 + -5))) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052434 to three dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2937868 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**5\/7 + 12*t**4\/7 - 3*t**3\/7 - 30*t**2\/7 + 12*t\/7 + 24\/7.\nAnswer: -3*(t - 2)**3*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233032032110 - -2?\nAnswer: -233032032102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**3 + 633*x**2 - 9760*x + 26336060?\nAnswer: -3*x**2 + 1266*x - 9760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 6*c - 1)*(-90*c**3 - 171*c**2 + 171*c**2).\nAnswer: -540*c**4 - 180*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/12)*d)\/(d**(4\/3)\/d))\/((d*(d*d\/((d\/((d\/(d\/((d*d**(-1\/17)\/d)\/d*d)))\/d))\/d*d)*d)\/d)\/(d**(-7\/8)*d)) assuming d is positive.\nAnswer: d**(313\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-224)\/(-21)*25\/15*(-36)\/80. Let o = -3 - -4. Sort o, j, 7 in decreasing order.\nAnswer: 7, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 28 - 2167*q - 52 + 2118*q.\nAnswer: -49*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let c(f) be the third derivative of f**6\/360 + f**3\/6 + 4*f**2. Let t(d) be the first derivative of c(d). Calculate t(b(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12)\/((400\/30)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 18*l + 36. Let n(k) = -k**2 + 9*k + 17. Let z(a) = 5*n(a) - 2*y(a). Give z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472865302.\nAnswer: 2, 7, 13, 17, 152833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3320 - 793. Let c = -136579\/54 + g. Calculate the common denominator of 49\/12 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 11676*p**2 - 715204*p - 726876.\nAnswer: 4*(p - 61)*(p + 1)*(p + 2979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/150 and 141\/70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y - 9*y**2 + 15*y**2 + 13*y**3 + 11 - 17. Let q(b) = 14*b**3 + 7*b**2 - 7*b - 7. What is -7*h(x) + 6*q(x)?\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-14)\/63).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 3. Let f be -2 - (2 - 18\/d). Suppose -19 = -w + 3*z - 4*z, 0 = -f*w + 4*z + 8. Calculate the remainder when 54 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/100 - 119*h**4\/10 - 474*h**3\/5 - 670*h**2 + 4. Factor f(v).\nAnswer: -3*(v + 2)*(v + 474)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -21*g**2\/2 - g + 1. Let n be 66\/(-110) + (-2)\/5. Does 11 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = 2*z + 37*v + 14, 45 = -15*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = 108. Suppose -d*i + 29*i = -459. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3117 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030203 (base 6) in base 12?\nAnswer: -92363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 7.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -128933+-0.5\nAnswer: -128933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 38*i**2 - 103*i + 71. Determine p(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = -15. Suppose -u*x + 4*f + 18 = 2*f, -24 = -4*x - f. What is the derivative of p**4 + 11 - p**4 - 2 + x*p**4 wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1645 + 1643.5. What is the second smallest value in -3, f, -0.06, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14401 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 r when four letters picked without replacement from rrttrrrttt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41591714.\nAnswer: 2, 131, 158747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.07. Let f = 1.03 + y. Which is the nearest to f? (a) 0.5 (b) 5\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573416.\nAnswer: 2, 229, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5940 by 66.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = -5*d + 1, -4*i - d = -18. Suppose -37 + 2 = -i*n. Suppose 0 = -j - 2*k - 0*k, 4*j = -k + n. Solve 0*x - j = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -735, -48 in decreasing order.\nAnswer: -23, -48, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.9759*194.\nAnswer: 2129.3246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.439934 kilometers to millimeters.\nAnswer: 9439934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103311 (base 4) to base 13\nAnswer: -768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25104 and 394704.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 80 = 3*d. Factor -3\/2*q**2 - 1\/2*q + 0 - 3\/2*q**d - 1\/2*q**4.\nAnswer: -q*(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/23947 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57611512 divided by 1028777.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yilylmr. What is prob of sequence yi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1082 + -672. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 5*r - 16. Let g = -65 + 131. What is the lowest common multiple of d(-5) and g?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(5\/98))\/((-14)\/(-28)). Let s = d - -204. Calculate the remainder when 182 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-27)\/(-6))\/((-27)\/(-360)) and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2180 - -2482. Is 302 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23657.8509ns?\nAnswer: 0.00000000027381771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -6*p + 3*n + 3 + 35, -4*p + 5*n + 74 = -2*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -4c34?\nAnswer: 4c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*o + 5*k, 3*o - 3*k - 4 = -16. Let c be (17 - 16)*(6\/o)\/2. Sort c, -28, 5.\nAnswer: -28, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(891)).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16050 and 67945.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = 22. Suppose 39 + 17 = 4*f. Suppose 3*t + 10 = q, q - 2*q - f = 3*t. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + i**4 - i**4 + (-5*i**3 - i**3 + i**3)*(-i**2 - i**2 + 5*i**2).\nAnswer: -13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - 6) + (-1 - (4 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x**2 - 112*x - 1226. What is g(16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 898*l**3*q**3 + 38*l**3 - q**5 - 467*q**2 wrt q.\nAnswer: 5388*l**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.24 + -25.1. Let h = 1.48 + -7.58. Let o = h + c. Sort -2, o, 0, -1 in descending order.\nAnswer: o, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33252\/72 - ((-14)\/12)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1347328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jejjjjjujuue. Give prob of sequence jeuj.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 - 2 = 0. Let a(x) = -3*x**3 - 5*x**2 + 5*x. Let l(m) = m**3 + 160*m + m**2 - 265*m + 104*m. Suppose -3 = -5*f + 2. Calculate b*l(w) + f*a(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/3 - 504958*q**3\/3 + 1009922*q**2\/3 - 504962*q\/3 = 0.\nAnswer: -252481, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/120 + 3*h**5\/5 + 17*h**4\/12 - 19*h**3\/6 - 52*h**2. Let w be y(-35). Is 4 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g)**(2\/29) assuming g is positive.\nAnswer: g**(16\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*(6\/567)\/((-564)\/1316)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23591 or -141541\/6?\nAnswer: -141541\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 32 = -o, -5*t - 3*o + o = -54. Let g = 6 + t. What is the lowest common multiple of -3 - (-23 - (3 + -1)) and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5824 and 2912?\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 385055*m**3 + 4620670*m**2 + 120*m.\nAnswer: 5*m*(m + 12)*(77011*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 + 15*h**2\/2 - 4*h. What is the remainder when 23 is divided by g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/20782778 and 55\/2.\nAnswer: 20782778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 + 2. Let u be s(-2). Let l = u + 24. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 h when three letters picked without replacement from {w: 2, q: 4, h: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.832 + -59. Let f = 0.16919 + m. What is f rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 76, 103, 150, 223, 328?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t + 5. Determine w(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23118 in 18, 3\/7, 3, 3\/5, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6610 and -48\/5?\nAnswer: 6610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:48 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 4. Let z be i(6). Let s(g) = 30*g + 350. Let h be s(-12). Calculate the common denominator of (-2)\/z*11*h\/8 and -13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*q**5 - 417*q**2.\nAnswer: 9060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8596 and -129\/616.\nAnswer: 189112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - ((-2 - 175) + 59)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**8\/1680 - m**6\/720 - m**4\/3 + 3*m. Let o(i) be the third derivative of z(i). Find the second derivative of o(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374506741 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401a (base 11) in base 7?\nAnswer: -112161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 65*c**3 - 135*c**3 + 84*c**3 as d*c**2 + z + f*c**3 + l*c and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-440))\/(6\/4)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1029 + 1030. Solve -3*c - k = n, 2*n + 4*c = c - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357792088454 - -32.5?\nAnswer: -1357792088421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/55 + 146\/165. Let 0*c + k*c**3 + 0 + 0*c**2 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1, 4 in decreasing order.\nAnswer: 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -1\/3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = 34*j + 38565 - 42220 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286 + 307.3. Let h = z + -21. What is the closest to -1\/2 in -1, h, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 0.114, 2\/25, -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.4 less than 0.2?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 232539451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l - 40. Suppose 0 = 8*y - 54 + 46. Let f be y + 3 + l + 2. Which is bigger: f or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 330, 723, 1272, 1977?\n\"Answer: 78*w**2 + 3*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000449618 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6297, -6316, -6343, -6378?\n\"Answer: -4*q**2 - 7*q - 6286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40241 (base 6) to base 2.\nAnswer: 1010010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let d = -16.4 + 13. Let w = d + 5.4. Put i, w, 0 in ascending order.\nAnswer: 0, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 475764793*m**2 - 867263830*m wrt m?\nAnswer: 951529586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d**3 + 5*d - 16*d**3 - 4 - d**2 - 19 - 5 + 4. Determine m(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1174 - 1207. What is the closest to z in 0.1, -3, 0.3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3255, -6423, -9591?\nAnswer: -12759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -10 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1066 and 5904?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - sqrt(132)*-1)\/sqrt(12) + (2*sqrt(176))**2.\nAnswer: 2*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(117) - 3*sqrt(117)) - -2*sqrt(117)*-1)\/(-1*sqrt(9)*-3 - (-3*sqrt(54)\/sqrt(6) + sqrt(9)))*-2)**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 42. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 641.98 litres?\nAnswer: 641980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2543314943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -222?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -34. Suppose -n*f - 4 = -2*a + 3, -2*f - 4*a = -22. Let j be (-3 - (1*-26)\/f)*1. What is the highest common factor of j and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -488\/1773?\nAnswer: -488\/1773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 + 11*p - 13. Let y be n(7). Suppose -y*m = -11*m - 20. Solve -7 - m = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*c + 8, -22944 = -2*c - 5*s - 22980 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 88*z + 8286. What is w(-94)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(2 - 3 + 0)*(442*t**2 + 257*t**2 + 340*t**2)*(-4*t**2 + 2*t**2 + t**2).\nAnswer: -1039*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 5 + 23. Suppose -b = 5*n - 9*n. Let w(g) = 4*g - 6. Let m(q) = -q + 1. Calculate n*w(y) + 5*m(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 2.1. Let p = -50\/13 - -476\/117. What is the nearest to p in n, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2960682 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65750372.5 and 4.\nAnswer: -263001490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54888233 and 951.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-14)\/56). Solve -5*u = -g*a - 9, -u + 3*u = -2*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1758.1899 months to years.\nAnswer: 146.515825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 68, 74?\n\"Answer: 6*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - -150. Suppose 0 = -5*k + 50 + p. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -209 (c) -8 (d) -5 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1195, 1369, 1543, 1717?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*-4*1. Let t(f) = f - 3. Let z be t(g). Let l be (-6)\/21 - (-38)\/35. Which is the third biggest value? (a) l (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 655 - 1153 = -561 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/84 and -111\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 20*x + 500. Let d = x - 68. Suppose -163 - d = -4*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67\/46 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 40, 1, -0.1275, -1\/8 in increasing order.\nAnswer: -4, -1, -0.1275, -1\/8, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010100100 - 0?\nAnswer: 10010010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -5, -2, -24, 3 in descending order.\nAnswer: 3, 2, -2, -5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2357*g + 4746*g + 6102*g - 483987 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*l**5 + 172*l**4 - 102*l**3 - 198291082*l**2 wrt l?\nAnswer: -3660*l**2 + 4128*l - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 4*i - 9 = 35*o, 5*i - 12 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by ((-45)\/5 + 8)*0 - -182.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m*m**(-2)*m*m*m)\/m)\/m))**(-39)\/(m*m**2)**(-40) assuming m is positive.\nAnswer: m**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 201582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 808 - 802. Suppose 20 = -x + w*x, 0 = 5*h + 3*x - 2. Let g(i) = -i**2. Give g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1395 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(((-132)\/(-308))\/(280\/(-55615)))?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5864*k = 1666*k - 56476 - 152314 - 92410 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.060254km?\nAnswer: 9060254000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31226135869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/85? (a) 3\/7 (b) -6 (c) -3\/7 (d) -0.1 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 87745481041828 and 0.05.\nAnswer: 87745481041828.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/102 - 1008\/1428?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 146*x**2 + 162*x**2 + 160*x**2 - 599*x**2 + 153*x**2. Let g(i) = 312*i. What is h(g(k))?\nAnswer: 2141568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5\/3 (b) -0.1 (c) -2\/1341 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192124288 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*q**2 - 48*q**2 + 136*q**2)*(3 + 2 - 3) - q - 47*q**2 + 53*q**2 - 3*q.\nAnswer: 342*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*w + 10*w - 564*w - 444*w + 189*w - 139*w.\nAnswer: -1344*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5504)\/1032 + (-8)\/108*-21.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/3)\/(-19)*1*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -150. Suppose 3*d - 117 = -5*o, z*o - 2*d = 3*o + 97. Calculate the lowest common multiple of 3 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13064?\nAnswer: 2, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 96. Suppose 10*m - 5*m = -4*w + 29, -4*w + 27 = 3*m. Suppose -528 = -w*p + 42. Calculate the remainder when p is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1903.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxhxxppxppppxph. Give prob of picking 3 p.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = -2*t - 55, 2*y + 22 = t. Let z = -8 - y. Suppose z*f = -2*f - 2*r + 28, 4 = r. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -3*k, -12 = 10*a - 7*a. What is the nearest to 5 in -2, -0.01, k?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -147. Let w = h + 104. What is the remainder when w is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*p + 23*p**2 + 11*p**4 - 10*p**2 - 8*p**2 + 5*p**4 - 4*p**2 + 2 wrt p.\nAnswer: 192*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/4 + 4*z**3 + 27*z**2\/2 + 18*z + 4. Let u be j(14). Solve -4*t - 4*r = -r + 16, -4*r = u*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -9*r**2 + 1\/12*r**4 + 0*r**3 + 0 + 0*r. Let l(n) = -22*n**2. Calculate l(u(b)).\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + s - 9 = -0*s, 2*s = 3*v - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 15*j + 140 = 4*h, h - 3*j - 45 = 0. Let u(m) = m**3 - 35*m**2 + 66*m + 16. Is 2 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 896*x**2 + 17032*x + 27. What is p(-19)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.097 + -1.107. Let c = m + 1. Let z = 0.41 + c. What is the nearest to 0.1 in z, 3\/5, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:51 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26398, -5, -965.\nAnswer: -965, -5, 26398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1)\/(u*u\/u**(-12)*u)*(u*u\/(u**(-19)\/u))**(-18) assuming u is positive.\nAnswer: u**(-409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14*n - 16*n + 20 = 0, -25 = -4*s - n. Suppose -4*l - 5*c = 64 - 1855, 2*c = s*l - 2247. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(3\/(-36)). Suppose 4*p - 16 = 0, -c*p + 2*p = -4*w. Let f(t) = 6*t - 6. What is f(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Let d be f\/((-112)\/(-37) - 3). Suppose -2*p - 2*g + 26 = 0, d = 2*p + g + 14. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**3 - 102395*v**2 + 400*v - 61?\nAnswer: 18*v - 204790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5941494650 rounded to the nearest 1000000?\nAnswer: -5941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let l(h) = -4*h - 7. Let p = -18 + 35. Let o = p + -10. Let a(k) = -3*k - 5. Let z(u) = o*a(u) - 5*l(u). Calculate s(z(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -613\/2 in -3, 0.1, -0.03614?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -32, 32, 2, -366 in descending order.\nAnswer: 32, 5, 2, -3, -32, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -386.55 - -6.55. Let u = -380.000004856 - o. Round u to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.171486021 to three dps.\nAnswer: 5.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:33 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 8. Let z(s) = -388*s - 7. What is z(r(l))?\nAnswer: 1940*l - 3111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 24*l + 17. Let f be q(-11). Sort 3, f, 4 in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 5 = -2*h - 18*q, 35 = -5*h + 7*q. Let d(j) be the third derivative of 0 + 0*j**4 + h*j - 1\/60*j**5 - 2*j**3 - 18*j**2. Differentiate d(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8976 and 127\/36?\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.612606m to millimeters.\nAnswer: 6612.606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9862339*-4.\nAnswer: 39449356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose -3*h + 21 = w*d, -d = -h - 2*h + 41. Let u = -8 + h. What is the lowest common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*12.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i*j**6*p + 21261*i*j**3 + 43*i*j**2 - i*j + 192*i*p + 2*i wrt j?\nAnswer: -480*i*j**3*p + 127566*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31208\/25, 4\/3, 292?\nAnswer: 31208\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 2*t**2 - 5*t - 5. Suppose 4*b + 25 = 5. Let x be n(b). Let r = 242 + x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {l: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 8. Let z be m(8). Let g(w) = 6 - 10 + w + z. Give g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -73. Let i = w - -219. List the prime factors of i.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14431 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 17*a + 11. Let x(t) = -142*t**2 + 6*t + 144*t**2 - 4 + 8. Calculate -6*u(q) + 17*x(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 169 (c) 0.3 (d) -0.5 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukxkukdxjwx. What is prob of sequence jwud?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 10. Let u be g(5). Suppose u*i + 7 = -2*t, 4*t - 5*t = 4*i + 8. What is the units digit of (-3 + t)\/((-1)\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 256\/14 - (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffwwfeffwpwpwfwlp. Give prob of picking 2 w and 1 l.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8746.\nAnswer: 2, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7699*a + 176619. Give y(23).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36*273\/2646)\/(2\/(-21)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-20349)\/850)\/((-9)\/5)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 1926*l**2 + 2*l - 779 + 1928*l**2 - 5*l to s*l + m + n*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26e - 6?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*b - 54*b - 7*b + 3313050. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 110960160?\nAnswer: -110960162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**3\/f)\/f**6)\/((f**(2\/31)*f)\/f*f*f**4)*(f**(-1\/4)\/f*f)**(-2\/17)*(f**(2\/7)\/f)**(1\/26) assuming f is positive.\nAnswer: f**(-338700\/47957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 12*h**2 + 7*h + 1. Let x = 50 - 9. Let j = -52 + x. Is 35 a factor of b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0 - 3 = -v, -3*h + 2 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94164 divided by -14?\nAnswer: -6726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 116748970 divided by 23349794\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201008039?\nAnswer: 139, 479, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139454 is divided by 139449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*w - d + 6, -4*w - 4*d - 40 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - k + 1. Let r = -2 + -4. Let a be (35\/15 - 12\/9)*1. Let o(u) = 7*u**3 - 6*u + 6. What is a*o(s) + r*h(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thm when three letters picked without replacement from {h: 1, m: 2, t: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 1, h: 3}. What is prob of sequence mh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269504 divided by 4.\nAnswer: 67376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 451\/1335 + -2\/445. Sort r, 0, -0.4, -7\/5, -9.\nAnswer: -9, -7\/5, -0.4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11804846 is divided by 1406.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-39)*p)**48\/(p*p**7)**49 assuming p is positive.\nAnswer: p**(-2216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 3*k. Suppose g - 5 = -7*d + k*d, -4*g - 5 = -5*d. Let z = 58 - 63. Put -1, z, g in decreasing order.\nAnswer: g, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6\/2 - 21*a**5\/5 - 45*a**4\/4 - 13*a**3 - 6*a**2 - 110. Solve v(d) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -124*x. Let k(y) = -y. Determine v(k(p)).\nAnswer: 124*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 52.031. Let n = y - -0.03037. Round n to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3286?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 70. What is the least common multiple of 16 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43405.59 - 0.04?\nAnswer: -43405.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 5. Let y(j) = 14 - 3*j - 19 + j + 4*j. Let u(z) = 4*p(z) + 3*y(z). Determine u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-36)\/(-30)*(-25)\/(-2) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.06 - 13. Let m = k + 0.34. Let f be (-6)\/(-4) - (154\/(-12))\/(-7). What is the biggest value in f, -4, m, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38476 >= 731038\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 3*a**2 - 10*a + 4. Let m be v(-5). Suppose 34 = b + m. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -522 - -565.9. Round o to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/704252230 or 0?\nAnswer: -3\/704252230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44 + 0)*(-7)\/6. Let p = -51 - f. Let j be (2\/(-28))\/(2\/(-8)). Which is the closest to p? (a) 0 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-552)\/644*(2\/4)\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 - 140. Let m be 25\/((1 - 2)\/1). Let l = x + m. Solve 6*c + 3*v = c - 23, -v - 9 = l*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*p - 65 + 69, -p + 4*t = -8. Let v be (2\/(-4))\/((-3)\/18). Solve v = p*r - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/28956 and -86\/21489.\nAnswer: 10916412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.126 + -1.526. Which is the second biggest value? (a) 0 (b) -5 (c) -1\/2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s - 2. Suppose 0*g - 6 = -2*g. Let p = g + -5. What is the remainder when y(p) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/120 + 11*o**4\/6 - 211*o**3\/3 + 280*o**2. What is the derivative of x(s) wrt s?\nAnswer: 3*s**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.58, 4, -5?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106\/21 + 40\/7. Let w be (-609)\/(-12) + (-1)\/2. Let y = -50 + w. Put i, y, -1\/5 in descending order.\nAnswer: i, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 77. Let z = m - 10. Let q = -50\/57 - -4\/19. Which is the closest to 1? (a) q (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (184 - -2)*(-1)\/(-3)*40. What is q rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 21669476*k\/3 + 4815440 = 0 for k.\nAnswer: -2\/3, 3611580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6678, 26710, 60074, 106752, 166726, 239978, 326490?\n\"Answer: -3*d**3 + 6684*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -63 + (1 - 2) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2440 + 212?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5752 nanoseconds in microseconds?\nAnswer: 0.0145752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.972 - -40. Let o = d + -0.228. Which is the closest to 2? (a) o (b) -4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2857, -2862, -2867, -2872, -2877?\nAnswer: -2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15*b**3 + 689*b**2 + 35*b + 506. Let x be f(46). Factor 0*u + x + u**2 - u**3 - 1\/4*u**4 + 1\/4*u**5.\nAnswer: u**2*(u - 2)*(u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= 228679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 0.01. Let g = -0.23 - c. What is the nearest to -1\/4 in g, 4\/3, 1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) - 112\/112?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 105*b + 72*b**4 - 105*b + 6*b**4 - 6*b**3 + 6*b**3 + (-b**4 + 3*b**4 - 3*b**4)*(-2 + 1 + 2) + 0*b**4 + 3*b**4 + 2*b**4.\nAnswer: 82*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/1264)\/(7\/8))\/(1361\/9527)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 26.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2.072 (b) 74 (c) 0 (d) -1\/3 (e) -1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18336776 and 92586.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 180 (b) -25 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6897433 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23926455 divided by -886165.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k**7*k*k*k)\/k)\/k*k*k)\/k)\/(k*k*k**(-2\/7)))\/((k\/(k*k**(-1)))\/k)**11)**29 assuming k is positive.\nAnswer: k**(1479\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = j - 0, 19*j = -3*i - 3*j - 34 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*x = -365842 + 1250870. Is 62 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 7*v + 2. Let d be q(-7). Suppose -d*y + 53 = 17. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 138834 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -22, -27, -32, -37?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 252*w + 937. Determine b(39).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -246, -224, -166, -72?\n\"Answer: 18*z**2 - 32*z - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 3*t**3 - t**3 + (3*t**2 + 4*t**2 - 5*t**2)*(-t + 4*t + 3*t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13254 + -14928. Is -1674 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = 5*y. Let n be (11*1)\/(y\/10). Suppose q - n = 125. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11131 + -152?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/63454 - 27552075\/63644362. Let y = i + -30\/59. Let j = 1199 + -9575\/8. Calculate the common denominator of j and y.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37\/(2\/(0 + 2)). Is (a\/2)\/(4\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 972104974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*u = r + 16, -4*r - 4*u - 32 = 0. Suppose 0 = -4*h - 5*z + 25, 0 = -2*h - 0*h + 4*z + 32. Let p = h + -5. Put r, -3, p in ascending order.\nAnswer: r, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*v + 277*v - 60 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 3 (c) 0.0136 (d) -0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -2*s - 16*m + 35, 3*s + 24 = 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767761.\nAnswer: 767761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*z + 87*z + 14. Sort 1, -5, -4, z, 2 in decreasing order.\nAnswer: 2, 1, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {g: 1, t: 3, k: 7, s: 6}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = -b + x, -2*b - 2*x + 16 = 0. Suppose b*z + z = 354. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + r)*(-4 + 2 - 6)*(-5*r**3 + 3*r**3 - 3*r**3).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 = 2739*w - 2813*w - 665 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4 + 24*c**3 + 77*c**2 - 78*c - 360 = 0.\nAnswer: -20, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -61*q**3 - 3*q - 70. Let a(o) = -1326 - 1129 - 2624*o**3 - 553 - 128*o. Let d(h) = 3*a(h) - 128*l(h). Differentiate d(r) with respect to r.\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -114976 (c) -1\/2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a)**(-8\/5)*((a\/a**(1\/4))\/a*a*a*a)\/(a**(-6\/11)*a*a) assuming a is positive.\nAnswer: a**(57\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4 + 56*w**3 + 302*w**2 + 144*w - 504 = 0. What is w?\nAnswer: -21, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3842 and 2034.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2378)\/546 + (-7 - -11). Let n = 2\/91 + f. Which is greater: n or -15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614030.\nAnswer: 2, 5, 61403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -955, 491, 2901, 6275, 10613, 15915, 22181?\n\"Answer: 482*r**2 - 1437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 l when three letters picked without replacement from hvdvvlllekkkedv.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) 0.01 (b) -1\/2 (c) 5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*(-2)\/10)\/((-2031)\/27080). Factor -n - 4\/3*t**3 + 0*t + 4*t**2.\nAnswer: -4*(t - 2)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e2ec8 (base 15) to base 11\nAnswer: -1299151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 48. Let s(n) = 3*n + 92. Suppose 0 = 7*q - 10*q - 5*g - 30, q + 17 = -4*g. Let i(x) = q*l(x) - 2*s(x). Let h(a) = 2*a**2. Determine h(i(m)).\nAnswer: 2*m**2 - 224*m + 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + h**2 + 0*h**2)*(-36*h + 25*h - 18*h**2 + 6*h**2).\nAnswer: 48*h**4 + 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 + -29 - 7)*-56?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33373 and 11608.\nAnswer: 266984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1999912943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38620 and 23172.\nAnswer: 115860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h - h)*(-2 - 1 + 1)*(9 + 20 - 4) to the form a*h + n and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*r + 239*r + 267*r + 38*r**2 + 252*r.\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + (-3522)\/(-54) + -3. Let q(z) = -2*z**3 + 2*z**3 - c*z + 2*z**3 + 59*z. Let l(d) = -2*d**3 - d**2 + 4*d. Give 3*l(t) + 4*q(t).\nAnswer: 2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*x + 3*f, f - 2*f - 7 = -2*x. Let y(i) = i**2 - 16*i - 12. Let c be y(17). Does c = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0.36?\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millisecond in microseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2755\/3 + 46\/(-138). Let d = i + -227. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**3 + 2*u**3 - 3*u**3 + (0*u**3 + 3*u**3 - u**3 + (-2*u + 1 - 1)*(0 + 0 - 2*u**2) - u**3 + 2*u**3 + u**3)*(1 + 1 - 1).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-5 + 10 + 4 - (14 + 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -0.561, -0.5?\nAnswer: -0.561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -2.88, -117 in descending order.\nAnswer: 5, -2.88, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 3. Let z(t) be the second derivative of -t**3 - 2*t**2 - 7*t. Let y(k) = -4*m(k) - 3*z(k). Let v(b) = -6*b. Give y(v(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 2, m: 1, j: 5, n: 4, v: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 9*d - 5. Let s(l) = -l. Let p(v) = f(v) - 4*s(v). Let n(r) be the first derivative of p(r). Does 11 divide n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 2*z + z**2 + 5*z + 0*z**2. Let l(b) = 9*b**2 + 6*b. Calculate -6*c(g) + l(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30.19*0.1\nAnswer: 3.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/10)\/((-24)\/80). Suppose -3*y**3 + 95*y**t + 3*y**4 - 51*y**2 - 47*y**2 + 3*y**5 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(200) - sqrt(200)) + -5 + -2 + (sqrt(200) - (sqrt(200) - (sqrt(200)*-1 + sqrt(200))))*2 + 5 + -1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 21*x - 4*x**3 - 28*x**2 + 10*x**3 - 12 - 19*x + 62*x wrt x.\nAnswer: 36*x - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let y(j) = 3*j**2 - 1. Suppose 4*o = -2 + 6. Determine o*a(b) + y(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 46946 = -37*d + 81844. What is the remainder when d is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 996*h**2 + 76125*h - 1066242.\nAnswer: -3*(h - 47)*(h - 19)*(h + 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldquq. What is prob of sequence duqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:18 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 33 (c) -625\/19 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8973 - -8996.712. What is d rounded to zero dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + (15 - -7 - 53) + (8 - (1 + -3))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 + 3*o - 7. Let x be c(6). Suppose -950 = -x*u + 6*u. Suppose 7*t - u = 2*t. What is the greatest common factor of 114 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 67 - (-3420 + 3438)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 48211.\nAnswer: -29\/48211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 2506*p**2 + 5*p - 25. Let w(b) = 2*b**3 + 1253*b**2 + 2*b - 10. Calculate -2*l(a) + 5*w(a).\nAnswer: 4*a**3 + 1253*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/42 and 31\/190225?\nAnswer: 1141350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6475\/(-370)*(1 + 1 + 57 + -61).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 651*p + 140080.\nAnswer: (p - 1030)*(p - 272)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = 20. Suppose 0 = j - 2*j + q. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 144 = 3. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603232653 rounded to the nearest 1000000?\nAnswer: -603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 2*g**7\/147 - 4*g**6\/35 + 11*g**5\/35 - 2*g**4\/21 - 8*g**3\/7 + 16*g**2\/7 + 187*g. Let k(p) = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 226 - 146 = 0. Let h(x) = -x**3 + 9*x**2 + 10*x + 20. Let v(k) = -3*k**3 + 28*k**2 + 32*k + 61. Let g(o) = 7*h(o) - 2*v(o). Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2 + 1768*v + 7040 = 0.\nAnswer: -880, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (4 - 6) - (3 - (7 + -6 + -2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 16*k + 19. Let p be y(15). Solve 9 = -p*q + 5*i, 0 = 4*q + 2*i - 15 - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(9*4\/126)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0 + (-9)\/18)*0. Suppose z = 9*t - 32 - 58. Solve 11*h - t = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 6*u + 1. What are the prime factors of s(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/24*(-32)\/144\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -545 (b) -3\/7 (c) -3\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1809*a + 5697 + 1364 - 1634 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-8)\/(-30)))\/(16\/(-28)*2142\/(-272))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvy when three letters picked without replacement from yvyyrvyvyyyvyyvyyyn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 + u + 8935. Let m be w(0). Suppose 2999 = -4*x + m. Is (x\/8)\/((-2)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1867992 and 1575?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (8 - 7) - -13) + -108 + 9?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12*l = -9*l + 222, -2*l - 220 = -2*g. Suppose -6 + 18 = f. What is the greatest common factor of g and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - -65. Let b be d\/56 - 2\/(-7). Factor 1 + h**2 - 4*h + 8 - b*h.\nAnswer: (h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230081092.\nAnswer: 2, 4451, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 241 and 100256.\nAnswer: 100256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/25 + 13\/25. Which is the third smallest value? (a) i (b) 3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(200)*5 + 0 + 4*sqrt(200)*-6)**2.\nAnswer: 1155200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c + 2*z + 1, -c = -3*z + 11. Let i = -0.187 - 3.813. Sort i, -0.1, c.\nAnswer: i, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3 + 56*p**2 - 240*p + 288 = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-1\/18))**(-2\/37) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 95, 1559, 3023, 4487, 5951?\n\"Answer: 1464*s - 1369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h + 2. Suppose -4*y + 6*y = -10. Let p be f(y). Suppose -1076 = -p*b - 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529512609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 20\/4 + -4. Let n be (r\/5)\/((-342)\/(-60) - 3). Let l = 0.09 - -5.91. Which is the second smallest value? (a) l (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*c - 12, 5*a - 9 = -c + 4*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10028.37 litres to millilitres.\nAnswer: 10028370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 - 144\/(-81). Let p be -4*2*r\/8. Let b(a) be the third derivative of -a**6\/120 - a**5\/20 - a**4\/24 - a**3\/6 + 3*a**2 + 1. What is b(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*h - 2)*(h + 5*h - 4*h) + 2*h**2 - h**2 + h**2 + (-25 + 3 - 10)*(-3*h + 3*h + 2*h**2).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22251995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*0.024\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 7. Let d = -11 - q. Suppose 4*g + 9 = g. Put d, g, -2\/5 in decreasing order.\nAnswer: d, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2 + 5*k. Let i(l) = 2*l**2 - 15. Let d be i(-3). Let r(h) = -h**2 + h. Calculate d*r(w) - b(w).\nAnswer: 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002318 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/105*-1*-1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-3))\/(3\/(-57)). Let v = t + -10. What is the first derivative of -9 - v + k + 16 wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12940 divided by -26\nAnswer: 6470\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5181 - 2987. What are the prime factors of j?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 5. Suppose 0 = 5*c + 1 + 24. Let r be m(c). What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2240, -2225, -2202, -2171, -2132, -2085?\nAnswer: -2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1029 and 7077?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1758705 = -5*v + 34*v. Suppose 9*t + v - 170490 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 + 1 + (1 - 2 + 3)*(4 - 2 - 4))*(-2*d**2 + d**4 + 2*d**2) in the form n + p*d**3 + l*d**4 + r*d + c*d**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*c - 818, p + c + 409 = 6*c. Let z = -345 - p. Calculate the greatest common factor of z and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 13*p**2 - 61*p**2 - 54*p**2 - 379*p**3 + 2*p + 18*p**2.\nAnswer: -379*p**3 - 115*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.11 + -673.89. Let b = x + 678. Let v = 3798\/19 + -200. What is the nearest to b in v, -0.2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -2, 31, 92, 181?\n\"Answer: 14*p**2 - 37*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 2. Suppose 0 = -x - 0 + 2. Suppose -2*z = -v + x*v - 5, v + 1 = z. Let m(l) = 6*l - 6. Let g = -1 - -8. What is g*k(c) + z*m(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l - 85. What is s(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/11 in -4, 2, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 0*m**2 + 3*m - 1 - 3*m - m. Let i(p) = -17*p**2 + 3*p + 4. Let q(c) = -7*h(c) - 2*i(c). Give q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -219, -357, -495?\n\"Answer: -138*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 3. Let f = -89.8 - k. Let y = -101 - f. Which is the second smallest value? (a) 3 (b) y (c) 0.41 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2361 - -2497. Calculate the highest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7843626 rounded to three decimal places?\nAnswer: -1.784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1605)\/6741*279\/155\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(-9 - 156\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39baab8 (base 12) in base 3?\nAnswer: 210112102202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39059?\nAnswer: 139, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/54*-3)\/(358\/537)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1590, 12813, 43340, 102819, 200898, 347225, 551448, 823215?\n\"Answer: 1608*w**3 + 4*w**2 - 45*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5891626 divided by 453202.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*h - 7 = 1, -4 = 4*h. Let n be r\/((-7)\/6 + 16\/24). Solve a = -0*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 5*a - 5. Let y be d(2). Let q = y - -4. What is the tens digit of (-1 - -7)\/((-1)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. What is the least common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -2251\/100?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:20 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33154, 33152, 33148, 33142, 33134, 33124?\nAnswer: 33112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340.2 - 4927?\nAnswer: -2586.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11975 divided by 25\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050 + 3*(3 + -2 + -3).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000403929529 rounded to 7 dps?\nAnswer: -0.0004039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/((-6)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-184)\/(-44) + -5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7886252 litres in millilitres?\nAnswer: 788.6252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -25499*d + 127608. Calculate a(5).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -96?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(2548) + -1*sqrt(832) + -3*sqrt(468) + 1)**2.\nAnswer: -48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:45 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let a(k) = -k + 1. Give -4*a(z) + y(z).\nAnswer: 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*((j\/((j**(-11)*j)\/j*j))\/j)\/j)**(1\/20) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -168, 46 in decreasing order.\nAnswer: 46, -1, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 87. Let v(k) = 4*k + 11. Let b(d) = -d - 1. Let h(u) = -2*b(u) - v(u). List the prime factors of h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187121 less than 748489\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*h - 4*t, 5*h + 14*t - 15*t - 342 = 0. 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: What are the prime factors of 11079?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4353623 to three decimal places.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*a**3\/4 - 3*a**2\/2 + 747*a\/4 + 3\/2 = 0.\nAnswer: -1, -2\/249, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/3 + 838*v**2\/3 + 3575*v = 0?\nAnswer: -825, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 1589602?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6534\/(-110))\/(-33))\/((-1)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, w: 2, s: 3}. Give prob of sequence kks.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(512))**2.\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-19 - (-48 + 22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**(25\/4)*((z\/(z\/(z*z*(z\/(z*((z**(-5\/3)\/z*z)\/z)\/z)*z)\/z*z)))\/z*z)\/(z\/(z\/z**(-3\/10))*z) assuming z is positive.\nAnswer: z**(3239\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i - 8. Let u be n(8). Let t = -8 + 14. Suppose 0 = -2*v - 2*p + p + 5, -t = -5*v + 4*p. Solve f + 3*f - 12 = -4*x, -v*x + u = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*v + 1 + 31*v - 25*v + 0.\nAnswer: 71*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -369 - -651. Suppose -79 = -19*j + o. Let v = 37 - 16. Is j > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3311, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3969, -7957, -11945, -15933?\n\"Answer: -3988*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16902086 to the nearest integer?\nAnswer: 4111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -4. Let m(t) = -6*t + 2. Let p(z) = 1. Let v(b) = m(b) - 2*p(b). Let x(a) = 7*a. Calculate h*v(g) - 4*x(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 296 (b) 5 (c) 2 (d) -2\/9 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(3\/948). Suppose -59 = -z - q + 17, -m = -2*z + 4*q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 1. Let d be j(-2). Does 16 divide (8\/(-3))\/(d\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 4 - (-3 + 8)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + 3*(sqrt(20)\/sqrt(256) + 3 + -1))**2.\nAnswer: 15*sqrt(5)\/2 + 6445\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 102*v**2 - 44410*v + 105658. Calculate h(433).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161 - 161. Solve 4*o - 5*x - 18 = r, o = 4*x + 8 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 16. What are the prime factors of -1*(2 + r - 44)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*i + 3*q + 50, -q - 7 = -i. Find the third derivative of -15*d**4 - i*d**4 + 3*d**2 + 2*d**4 wrt d.\nAnswer: -600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1535542, -0.052, -4, 4\/3 in decreasing order.\nAnswer: 4\/3, -0.052, -4, -1535542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 3. Suppose 0 = -4*h - 2*h - 18. Let d(g) = -g + 2. Let x(k) = h*d(k) - 2*c(k). Let u(t) = 4*t + 1. Determine u(x(f)).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 2*u + 1. Let y(b) = 10*b**2 - 8*b - 4. Let f(o) = 6*o + 80. Let l be f(-14). Let r(m) = l*a(m) - y(m). Let c(t) = -758*t. Give c(r(i)).\nAnswer: -1516*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*z - 2, 3*v = -2*z - 0*v - 8. Let i be 0\/5 - z\/1. Let l = -1 + i. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066264526 rounded to six dps?\nAnswer: 0.006626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 - 50*t**2 + 344*t - 8. Is c(37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 15. Is 59 a factor of (-165)\/(-10)*11 + 2\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 9*r + 13. Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83702 in -64, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*i = -7*m + 389, -5*m - 5*i + 485 = 0. Suppose -7*x + m = -0*x. Suppose -5*g - g + 234 = 0. Calculate the remainder when g is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kec when three letters picked without replacement from feekkecqkkclk?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = -2*r + 6861, r = -v + 2288. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*w**4 - 75*w**3 - 1814 wrt w.\nAnswer: 32*w**3 - 225*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z - 5. Suppose -28 = 2*k - 6*k + y, -5*y = k + 14. Let u be o(k). Let x(d) = -20*d + u*d - 3 + 3*d + 9*d. Give x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-48584)\/6)\/(-23 - (-1292)\/57))\/2.\nAnswer: 2, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(5)*-1 + (4 + sqrt(500))**2.\nAnswer: 83*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:36 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:17 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2)*(-79*w + 54*w + 45*w) + (4 - 5 - 1)*(-w - 2*w + 4*w) to g*w + v and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/3, 7, 52, 136\/19, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 247*t**4 - 1080*t**3 + 1070*t**2 + 122*t - 357 = 0.\nAnswer: -1\/2, 1, 3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4057 + 2*b**3 + 11248*b - 302*b**2 + 3587 + 3908.\nAnswer: 2*(b - 76)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times -4?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -8. Let f be (-1 + 0 - s) + 2. Is 2\/f - (-182)\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2713 (b) -1\/41 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5893 and 1.5141.\nAnswer: 8922.5913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3564*b**4 - 77*b**3 - 124*b - 543.\nAnswer: -42768*b**2 - 462*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14732 and 7366.\nAnswer: 14732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-3)\/(-4)). Let j be (-6)\/7*(-2)\/(-6). What is the nearest to -1 in j, f, -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450 + 471. Let a(q) = 8*q - 15*q + o*q. Let s(n) = -8*n. Determine s(a(x)).\nAnswer: -112*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 311\/9 - 314\/9. Which is the fourth biggest value? (a) 2\/5 (b) x (c) -6\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 95*k**3. Let n(r) = 19*r**3. Determine -4*m(j) + 19*n(j).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*n + 4, 4*a + 0*a - 5*n - 6 = 0. Let d(u) = 2*u + 37. Does 9 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -4*a, 3*a - 5*h + 20 = -2*a. Let w(c) = -c. Let x be w(a). Solve x*n - 4 = o, -3*o - 2 - 2 = 2*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2852*k + 6334*k + 313*k)*(0*k - 4*k + k) to the form u*k**2 + n*k + f and give u.\nAnswer: -28497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-1 - (-15 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 6*k**3 - 24*k**3 + 13 - 25 + 51*k**3 + 69*k**4 in the form y*k**2 + d*k + p*k**4 + x + h*k**3 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 212. Sort 5, -1, m, 37 in increasing order.\nAnswer: m, -1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/12 - 7*g**3\/6 + 2*g**2 - 2*g + 2. Let d(u) be the first derivative of m(u). What is d(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111 (base 2) to base 7.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2725 + -8171\/3. Factor 2\/3*z**2 + u*z + 2\/3.\nAnswer: 2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.419, 2.42, 5, 0.3 in increasing order.\nAnswer: 0.3, 2.42, 5, 6.419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 13 - (-1 - 2)) + (-10 - -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 697555 divided by 13\nAnswer: 697555\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 18. Let b(k) = -4*k + 36. Suppose -5*q + 85 = 5*h, -3 = q + 3*h - 28. Let s(x) = q*w(x) + 6*b(x). Let i be s(12). Solve -j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821430 is divided by 18567.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/27)\/7*-51.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113000021 (base 4) to base 2.\nAnswer: 10111000000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 + 289*i + 7 - 15 + 9 - 16*i**2 - i**2.\nAnswer: -i**2 + 289*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:34 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142186029?\nAnswer: 3, 337, 140639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692713?\nAnswer: 11, 37, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -22*k**3 - k**2 - 3*k - 1. Let u(r) = -133*r**3 - 35*r**2 - 49*r - 8. Let p(d) = u(d) - 6*z(d). Give p(-28).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -529\/4 - 1\/4*a**2 - 23\/2*a = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12080 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -j - 0*j + 66, 5*g - 3*j + 324 = 0. Let s be (-490)\/g + -3 - 4\/(-18). Factor -7*c**4 - 1 - 13*c**3 - 11\/2*c - 3\/2*c**s - 12*c**2.\nAnswer: -(c + 1)**4*(3*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -27. Let i = 30.999912 - b. Round i to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1588\/(-5))\/(29\/(-290))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lliiiiiiiliiiiiiii. Give prob of picking 1 i and 1 l.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 395924017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82136?\nAnswer: 2, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -9.95. Let p = -26 - z. Let r = p + 24. What is the third biggest value in -2, -0.4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20459 divided by -3172?\nAnswer: 20459\/3172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpzpppkpppppznknpn. What is prob of sequence kk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -2*u**5\/5 + 3*u**4\/2 - 2*u**3\/3 + 17*u. What is w in i(w) = 0?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/9*i**2 - 2\/3 - 4\/9*i = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-3 - (-32 - -3)). Let s be (-1)\/(-6) - v\/(-6). Solve 2*p - 4*k = -s, -p = p - 2*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/3 + 1172*v**2\/3 + 756320*v + 159695808 = 0 for v.\nAnswer: -348, 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*m**6 - 38*m**2 wrt m?\nAnswer: -12360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + 2 - (5 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -562174137+-3.4\nAnswer: -562174140.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152448 - s + 304893 - 45*s**2 - 152445 + s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + (4 - 1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**3 + p - 1. Determine j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 2, n: 1, z: 1, h: 2}. Give prob of sequence cxzn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 115801045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 + (5 - (-36)\/(-6)) and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6 = 5*h - 8*h, 2*i = -4*h + 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*c = -1069222, 5*i - 227*c + 223*c - 1782034 = 0. What is i rounded to the nearest 1000?\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834345+-6429\nAnswer: 827916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10)\/(w\/(w\/w**14)) assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.6, -2, -10, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + (2*sqrt(96) - sqrt(96) - sqrt(96))*1)\/(sqrt(16)\/(sqrt(2)*2)))\/(sqrt(900)\/sqrt(9) + (sqrt(132)\/sqrt(3) + sqrt(44) + sqrt(44))\/sqrt(11)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 18*s**5\/7 - 184218*s**4\/7 + 44025564*s**3\/7 - 2647276536*s**2\/7 - 1784472528*s\/7 = 0.\nAnswer: -2\/3, 0, 122, 9991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35528639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 + 12*w - 12. Calculate a(-8).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 488*o**2 - 75*o - 250. What is the ten thousands digit of a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.67 and 0.4032272507765.\nAnswer: 4.0732272507765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4*(-2 - -1). What is the third biggest value in 2\/7, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26556 + -26556.1. Let l = 0.89 + 0.01. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y - 3*c = 85, -y + c = 85. Let l = 38 + y. What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnt when three letters picked without replacement from {t: 2, n: 1, b: 4, d: 6}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(684) - sqrt(684)) + sqrt(684) - sqrt(684)) + 5 + 4)**2 + 0.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 562541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w - 1. Let y(z) = 20*z - 2. Suppose 18*t - 16 = 16*t. Calculate t*c(f) - 3*y(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2404*l**2*s*y**2 + 39*l**2*s*y - l**2 + 6*l*s*y**2 - 67*l*s*y - 3*s*y wrt y?\nAnswer: 4808*l**2*s + 12*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 12*l + 16. Let k be h(-13). Let z(t) be the first derivative of -8\/15*t**k - 4 - t**2 - 2\/5*t. Factor z(a).\nAnswer: -2*(a + 1)*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37550.8235 - 1.8235. Let j = -37564.123 + u. Let o = -0.023 - j. What is o rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -r - 4*r. Solve -r = -3*d + 3*z, 5 = 3*d - 4*z - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221717616 or -221717621?\nAnswer: -221717621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13294 and 419917?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2845*-64\nAnswer: 18.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6263 or -6256?\nAnswer: -6256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 32.002. Round z to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(880)*-4)\/sqrt(5).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, n: 5}. What is prob of picking 2 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**3 + 2*r**2)*(5*r**2 + 0 + 0) - r**5 - r**4 + 0*r**4 + 0*r**5.\nAnswer: 9*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6. Suppose u = -m + 2, 0 = 3*m + 2*m - u + 20. Let y be g(m). Suppose y*r - 30 = -d - 3*d, -d = -3. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242472475 to the power of 1\/2, to the nearest integer?\nAnswer: 56943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) 1\/2 (c) -3405 (d) 0.3 (e) -0.4 (f) -18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.8 + 7.7592. What is i rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 - -1) + -9)\/1. Let j be m\/(-4)*(0 - -2). Let i(h) = 0*h**3 + 6*h - 7*h - 1 + 4*h**j - 2*h**3. Determine i(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -68382913.\nAnswer: 2\/68382913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 2912*l + 2119936.\nAnswer: (l + 1456)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/218461 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/(0 - -2) + 0. Suppose -h - 3*h = -p. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -446a + 1867?\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -4*i + 27, -5*i + d + 7 = 0. Solve i = 5*v - w - 20, -29*v + 5*w + 19 = -31*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, f: 3, l: 6, j: 3}. Give prob of picking 2 l, 1 b, and 1 j.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from mjjmjmmjmjjmmmmmmm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 + 3)\/20 - (-45)\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 29. Let o = k - 6.64. Let s = o + -0.36. Which is the nearest to s? (a) 0.2 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:55 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256937 rounded to 4 decimal places?\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)\/((-9)\/(-6)). Suppose 3*k - 53 = u*k. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = z - 2, -4*z = z - c - 52. Let n = z + -2. Let p = 0 + n. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254785 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44044 and 242?\nAnswer: 44044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228) - sqrt(228))*6)\/(sqrt(36)\/(sqrt(6)\/sqrt(2)) - sqrt(12) - sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, 11, 66 in descending order.\nAnswer: 66, 11, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2 - 55*p - 14 - 4. Let t(j) = 4*j**3 + j**2. Let b be t(-1). Is n(b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 7) + (8 - 1). Suppose a*w - 1882 = 2*v, -2*v + w - 447 = 1451. What is v rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)\/((-483)\/(-21)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from ffxfmkmwfmffffxxfx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and ((-1)\/5*27)\/((-8)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(((-120)\/(-165))\/(-8)) and 6\/(-9) + (-58)\/(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2210522 + 0?\nAnswer: -2210522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8018*2.\nAnswer: 7.6036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -628\/5. Let z be 1\/(-10) - (2 + -2). Let p = -8\/5 - z. Which is the closest to -0.1? (a) 5 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, z: 5}. Give prob of sequence zzz.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-7) + 42\/28*975\/1260?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = -10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (247\/13)\/((133\/7)\/(-38)*1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m**3 - 2*m + 1231 wrt m.\nAnswer: -39*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3\/6 + 4*s**2 - s. Let c be r(-4). What is the third smallest value in c, 1, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 - (-307 + -39) - (-2 + 1 + -2)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 + 458.1. Let u(n) = -n**2 - 10*n - 7. Let r be u(-9). Sort -1, r, k, -1\/8 in decreasing order.\nAnswer: r, k, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423162 times 3?\nAnswer: 10269486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2929.3*4.\nAnswer: -11717.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4336 + 4317 + (1 - (-1 + 2)) - -37.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1543 times -0.31\nAnswer: 478.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8805 - 5512. Is 89 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121768, -121795, -121820, -121843, -121864, -121883, -121900?\n\"Answer: g**2 - 30*g - 121739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 66*l - 1633. Let c be x(25). Solve c*s - 10 = 19*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**2 + 13*d + 11. Suppose -64 = -37*f + 5*f. Let o(a) = -a**2 - 7*a + 16. Let c be o(f). Let g(h) = h**2 - h - 1. Give c*j(k) - 22*g(k).\nAnswer: -2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1848 - -1847. Sort f, -12, -10\/7.\nAnswer: -12, -10\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 2*z**3)*(-z**2 - 2*z + 2*z) + 31*z**3 + 6*z**5 - 31*z**3.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 17*a = -z - 9, -4*z = -2*a + 18. Suppose d - 5 = -0*d. Suppose -d*l + 8 = -7. Calculate the smallest common multiple of l and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-931)\/931)\/(7\/(-196))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 11. Let o = -47 + 50. Let u be l(o). Suppose -q - 2*k + 7 = 0, -u*q + 4*k - 7 = q. Which is bigger: 12\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -24)\/((-12)\/(-6)). Let n(d) = -5 - 7 - 4 - d. Let k be n(j). Which is smaller: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -1) - -5 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(63))**2 + -3 - sqrt(28)\/(sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(3)).\nAnswer: 2*sqrt(7)\/3 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001610092153 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4) - (-5500)\/880.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millisecond in microseconds?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/184 (b) 0.5 (c) -2 (d) 2\/5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -281094 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.8 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1131 + 3937 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*a - 2*b - 30, -4*a + 4*b + 60 = 0. Let p be (-5)\/((-80)\/(-12)) + 9\/a. Factor 4\/5*g - 2\/5*g**4 + 6\/5*g**2 + p + 0*g**3.\nAnswer: -2*g*(g - 2)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 4*v**2 + 126 - 126 - 11*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(28\/(-12)))\/(102*5\/(-20))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1481909 and -23\/165.\nAnswer: 22228635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 5. Let a be (0 + 3 - (-3 + -217))*p. Suppose -5*d + a = 5*b, -d + 5*b + 50 + 161 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/((-4)\/6). Let y be (4 - c) + (-36)\/15. What is the smallest value in 0.5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*k + 10 = 0, -3*y - 3 = -4*k + 5. Suppose y = -a - 2 + 11. Factor -2*g**2 + 1 + a*g - 2 - g**2 - 5.\nAnswer: -3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -719*p + 436388 - 492470 for p.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = -37*o + 23882. Suppose -11*z + 6137 + o = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q + 6. Let v be z(5). Let n = v + -29. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:50 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.1, 27, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 521 divided by 19\nAnswer: 521\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.678609, 13\/4, -5 in decreasing order.\nAnswer: 13\/4, -0.678609, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 12:54 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/714 - 2\/9 and -1\/255?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 divided by -6428?\nAnswer: -365\/6428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let v = 0 - s. Let l = -3.3 + 3.1. Which is the nearest to v? (a) 0.3 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.064425 to 3 decimal places.\nAnswer: 8.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*z + z + 62, -18 = 3*z - 4*x. Let u = -5 - z. Suppose u*w + 3 = -2. Let c(t) = 5*t**3 - 2*t**2 + 1. Give c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*o + 42, -2*g = -4*g - 4*o + 32. Let d = g - 4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 995895 and 434970?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -590 - -594. Solve f - 5*f = -3*w - 28, -f - v = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 + -0.2. Let n be 10\/12 + 24067\/(-246). Let z = n + 97. What is the second biggest value in h, 7, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 6. Suppose 2263 = 3*s - 2*m, b*s = 5*m - 0*m + 2269. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449641197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -325*d**2 + 1454*d + 22. Calculate m(5).\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78912 divided by -145.\nAnswer: 78912\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 38126?\nAnswer: 38138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 23*u**3 + 33*u**3 + 3*u + 3 + 2*u**2 - 2*u**3 to f + i*u + d*u**2 + z*u**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3707718368.000000055 - 3707718757. Let x = f - -389. What is x rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76136 and 45756.\nAnswer: 28094184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7535, -30158, -67865, -120656?\n\"Answer: -7542*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1056.9?\nAnswer: 4227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/5, -0.2, -0.5, 0?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 x when three letters picked without replacement from {f: 4, x: 1, q: 2, p: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567923 and 23533?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 310*l + 2485. Let m be k(-8). Put 3, m, -1323 in decreasing order.\nAnswer: m, 3, -1323","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 1320.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k**(-1))\/(k**6\/((k**(1\/3)*k)\/k)))\/((k*k**(-2\/13))\/(k*k**(-1\/6))*(k\/(k\/((k**6\/k)\/k)))\/(k\/(k**(-1\/4)\/k))) assuming k is positive.\nAnswer: k**(-847\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77471481?\nAnswer: 3, 25823827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3099 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*z - 2*z - r, 0 = -z - r - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 6}. What is prob of picking 1 n and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**0)**16)**(-8\/11))**(4\/13))**(-35) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 0*k - 2*k, 4*k = -h + 23. Suppose 3 = h*z - 9. Which is the nearest to 1? (a) -4 (b) z (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189 + -36 - 16) + -77.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 9*i**2 - 1478*i - 8946. Determine y(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r, -6*y - r = -5*y - 4. Let q(o) = o**2 - 2*o - 130. Let i be q(0). Let z be 104\/i + 14\/30. Which is the closest to z? (a) 1 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 118483610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25740559 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(128) + sqrt(8)) + sqrt(19) + -1*(sqrt(19) + 2).\nAnswer: -2 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-630)*(-3)\/(-9)*14.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/20)\/(4\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 436 = 76*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1160768 divided by -62\nAnswer: -580384\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10575 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**4 + 1402*l**3*m**3 - 2932*l*m**3 + 2*m**3 wrt l.\nAnswer: 48*l**2 + 8412*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 9. Put h, -0.5, -3 in descending order.\nAnswer: -0.5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, j: 1, w: 1, h: 4, b: 5}. Give prob of sequence bbh.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 216032 times 9\nAnswer: 1944288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: c6c (base 14) to base 6\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + sqrt(3200)*2 - sqrt(3200))\/(1*sqrt(490))*5 + 3.\nAnswer: 3 + 80*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0, -4, 6, -26, -1, -10 in descending order.\nAnswer: 39, 6, 0, -1, -4, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -355*q**4\/12 + 6647*q**2\/2 + 1049*q. What is the first derivative of w(j) wrt j?\nAnswer: -710*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nufnfunfnfnnfnun. Give prob of sequence fnff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/21? (a) 0 (b) -0.5 (c) 6165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11131.\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(17)*5.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 87*m**2. Let r(y) be the first derivative of y**4\/24 + 165*y**2\/2 + 255. Let n(z) be the second derivative of r(z). Calculate n(i(t)).\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(432) + (sqrt(432) + (sqrt(432) + 2 - sqrt(432)) - sqrt(432))*-4)*4) + 5.\nAnswer: -192*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {t: 1, q: 1, y: 2, i: 1, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50655 and 1815.\nAnswer: 557205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5 + 3 - 8 - 5*z + 11. Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -31 - 158. Is 4 a factor of y\/6*(-48)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 11435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - -2. Suppose -2*g + 3*t - t = -12, -g = -3*t - 16. What is the nearest to 0 in a, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/9 and 28\/117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + (-33)\/(-6). Suppose -1 = d - c. Suppose 0 = 5*t - d*s - 38, -22 = -0*t - 2*t + 5*s. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**2 + 9*h**2 + 52*h**2 - 12*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 + 28 = -t, 5*d = 2*t + 19. Let s be -8*6*d\/(-8). Let l(a) = -2893*a - 8667. Let m be l(-3). What is the greatest common divisor of m and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 661.2053 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1719 - -1742. Put m, -0.3, 4 in decreasing order.\nAnswer: m, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j - 8*j + 13*j + 13*j. Let u(q) = q. Determine f(u(s)).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4641315 + 7.6.\nAnswer: 4641322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let c(j) = -9*j - 85. Let p(f) = 20*f + 177. Let n(x) = -9*c(x) - 4*p(x). Calculate n(d(s)).\nAnswer: -s**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -141212542 (base 6) in base 9?\nAnswer: -5343878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -11*y**5\/15 + 16*y**4\/3 + 2*y**3 + 8*y**2 + 14. Find v, given that c(v) = 0.\nAnswer: -1\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.5, -0.3, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 8) in base 9?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 562317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:42 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-17)*k\/k**(-1)*k*k**(-5))**18 assuming k is positive.\nAnswer: k**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (7 - (-7 + 9 + (-11 - -6)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-310)\/(-8)*(4 - (-240)\/(-75)). Put -49, y, 5, -1 in ascending order.\nAnswer: -49, -1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2484811 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 6224?\nAnswer: -6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-189))\/(16\/(-14))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqtqttqqqtt. Give prob of picking 1 t and 1 q.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-1) - -6 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose p*x + 5*x - 154 = 0. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14905*n**2 + 12990*n.\nAnswer: -29810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*b + b. Let i = b - -3. Suppose -i*u + 3*w + 3 - 15 = 0, -u + 5*w = 20. Is 0 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(4 + -3)*-1. Let v(s) = s**3 + s**2 - 4*s + 3. Calculate the remainder when v(2) is divided by (t\/(-4))\/(1\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6975752 is divided by 702?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 39 + 92*o**3 - 8*o**3.\nAnswer: 87*o**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1200605*t**3*u**2 - 3*t**2*u**2 + 2*t**2 + 32*t*u - 156*u**2 wrt t.\nAnswer: 7203630*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/13 in 0.17, 3, 2, 20?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 248*x - 9760 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 9*q + 9. Let s be o(-7). Let t be (2\/s)\/(-2)*-2. Which is greater: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 3*j + 3. Let u be l(-3). Suppose u*f - 6 = -0*f. Let q be (f + -2)*3\/6. Solve -w - 6*s + 17 = -2*s, 4*s - 20 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = 0. Suppose 3*i - 2*i - 26 = a. Suppose 4*p - 112 = -16. Solve 4*h = -2*y - i, -3*y - h - p = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:28 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2. Let y(r) = -4 + 4 - r**2. What is y(t(m))?\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2\/2 - 18. Let f = 0 + 2. Let g(h) = -2 - 6*h**2 + f*h**2 + 2. Give g(o(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 1. Let m be ((-2)\/(-4))\/(4\/(-8)). Let q be (3 - (-3 - -2)) + m. Determine a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -9. Suppose v*m = 645 + 995. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/6 + 26*f**3\/3 - 797*f**2\/6 + 514*f - 390 = 0. Calculate f.\nAnswer: -65, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from llxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 56. Suppose -4*w - 680 - 1840 = l. Is 8 a factor of ((-3)\/9)\/(6\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/(-90)*56\/70 - 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 119*o - 180. Let k be r(7). Let i = -257 + k. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*5)\/(sqrt(4)*2*6).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4 + i + 2*i**2 - 2*i**2. What is the units digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 1.93. Let v = -0.2 - -0.1. Which is the nearest to v? (a) 1 (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - ((-76 - -32) + -24)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + 3) - (sqrt(11) + 0 + 0).\nAnswer: 5*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to 2182985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1423640836 to the nearest integer?\nAnswer: 37731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*4 + 1*sqrt(152)*3)*6)\/((4*(sqrt(56) - 2*sqrt(56)))\/(sqrt(84)\/(2*sqrt(12)))).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-391)\/(-34)*6)\/(-2)*(-4)\/6\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4\/12 - m**3\/3 - 3*m**2. Let h be n(-2). Let v = h + 10. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 995370248 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = -4*c. Suppose z + 3*z + c*m + 26 = 0, 3*z + 3*m + 18 = 0. Let n be ((-21)\/(-12))\/((-2)\/8). Is n at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157029, 628157, 1413375, 2512689, 3926105, 5653629, 7695267, 10051025?\nAnswer: 12720909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**17)*(q*q**7\/q)\/q)\/(q**(4\/9))**4)**(2\/13) assuming q is positive.\nAnswer: q**(-248\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*u = -3*j + 17, -8 = 2*u. Let n(t) = 3*t + 3. Let w(s) = -2*s - 2. Let c(q) = j*n(q) - 5*w(q). Does 6 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61481841 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 8 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 13. Let m(h) = 2*h - 14. Let o(s) = 3*c(s) + 2*m(s). Let w(a) = -a + 6. Let d(j) = 6*o(j) - 11*w(j). Let r(v) = 2*v. Determine d(r(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1096 + 1576. Find the common denominator of (-8)\/(l\/(-321))*1 and -139\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 1770*g - 1790*g.\nAnswer: -3548*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 11*l**4 + l**3 - 454*l + 719. Differentiate q(d) wrt d.\nAnswer: 132*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 10464?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*m - 115 = 0, 2*w + w - 69 = 4*m. Suppose 2*s = w + 43. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 155886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/120 and -43\/3247860.\nAnswer: 6495720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111, 279, 717, 1557, 2931, 4971?\n\"Answer: 22*u**3 + 3*u**2 + 5*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 52 = 79 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**6\/900 - v**5\/30 + 32*v**3\/3 - 13. Let n(c) be the third derivative of h(c). Suppose n(l) = 0. Calculate l.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txet when four letters picked without replacement from tetex?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3330.000008388 + -3330. What is g rounded to 7 dps?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s*z**5 + s*z**2 + 10*s + 66*z**6 + 2*z wrt z.\nAnswer: 60*s*z**2 + 7920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 31.09.\nAnswer: 40.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12798.38t to grams.\nAnswer: 12798380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7050302249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:56 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -838 or -844?\nAnswer: -838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*u - 465*u + 230*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270)\/14 + 2\/7. Let x be (-3)\/(-2)*(-2 + 6)*-3. Is q at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44622106 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 71\/2*(-36 - (-70 - -33))\/(1\/2)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 - -7) - (-13 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: 4 - (-54)\/(-14) - 36\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let c be (-1)\/(-2) + 4*44\/32. Let z(j) = -5*j**2 + 6*j - 6. Calculate c*b(h) + z(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19279 - 19279.3. Which is the closest to j? (a) -3\/26 (b) 1.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3351324 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1910 and 12.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1842 = -17*x - 74. Let o = 451 + -415. Calculate the remainder when x is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15421, -31229, -47039, -62851, -78665, -94481, -110299?\n\"Answer: -a**2 - 15805*a + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. What is the remainder when 11 is divided by (-56)\/(-12) + (-4)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 3. Let d be k(-3). Let o be ((-15)\/d)\/5*0. Suppose -h - 2 + 47 = o. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 55\/44. Let b(f) = -7 - 8*f + 6 + f. Calculate the remainder when 17 is divided by b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 2*s + 4. Let m(i) = 188*i + 1319. Let r be m(-7). Let b = -12 - -7. Let q(n) = -4*n**2 + 4*n + 7. Give b*u(w) + r*q(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(10*8\/120).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 72*a - 344. Does 16 divide i(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 61*t**3 - 21*t**2 - 179*t - 38. Let h(b) = 9*b**3 - 3*b**2 - 26*b - 6. Let q(y) = 4*d(y) - 27*h(y). Determine q(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d**2 + 5*d + 5. Calculate the remainder when 80 is divided by g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + 48\/70. Let v = 0.57 - 0.07. Let u = -0.2 + -4.8. Sort u, v, j in increasing order.\nAnswer: u, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 + -244 + 1 + -24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-6)\/(-8))*88\/297. Let j(i) = i**3 + 4*i**2 + i + 5. Let z be j(-4). Let n be (0 + 1)\/(z + -2). Is q at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f - f**2 - 14*f - f**2 - f**2 - 4 + 4 + (f**2 + f**2 + 2*f**2)*(21 - 18 - 31).\nAnswer: -115*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14899140*z**3 + 12967490*z?\nAnswer: -89394840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4581, -2\/31 in increasing order.\nAnswer: -4581, -3, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 26*x + 7. Let d(t) = 17*t + 5. Let c be (-14)\/5*15\/(-12)*2. Give c*d(u) - 5*w(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 816 + 4*f - 816 + f**4 + 0*f**4 + 4*f**2 + f**3 in the form i*f**4 + y*f**2 + w*f**3 + b*f + o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 317*u. Let n(y) = 27*y**2. Give n(q(l)).\nAnswer: 2713203*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-286)\/(-91) - 4\/28. Solve -b - n = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + 7. Calculate the remainder when z is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4528, 9029, 13510, 17959, 22364?\nAnswer: 26713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4353144 + -2.24\nAnswer: 4353141.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 14*h + 8. Let d(s) = 27 + 3*s**2 + 26*s - 5*s - 15. Let m(j) = -5*d(j) + 8*o(j). Give m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55274727?\nAnswer: 3, 23, 227, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = -2*s, 14 - 10 = -3*n + 2*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 = 6, -2*l + 2*h - 6 = 0. Factor q + 2*q**2 + 0*q**4 + 3*q**3 + q**2 + l*q**2 + q**4.\nAnswer: q*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317 + -308. Suppose -t*b = 5*b - 126. Suppose 0 = -y + 2*y - 9. Calculate the highest common factor of y and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(13) + sqrt(13) - (1 + sqrt(13) + 0))*-2)**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*j - 48 = -2*w, 4*j = -4*w + 96. What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 205. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**47*(z*z**0)**15 assuming z is positive.\nAnswer: z**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, u: 4, d: 5}. Give prob of picking 1 v and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 2. Let p be y(7). Let s = -15 - p. Let l be 0*(2 - 6)\/8. Solve 0 = -o - l*o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - (1 - -1)) + 20 + -33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41a28 - 5492?\nAnswer: 37546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 12, 10 = 9*z - 11*z - 4*s. Solve 27 = 9*q - 6*q + z*o, -o = -4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g. Let x = -2 - g. Let w(h) = -4*h - 3. What is w(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -34?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1144 and 180003252.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + 44 + 13*b + 29 - 8. Is k(16) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21724)\/(-60) + 15\/(-225). Let z = 984 - c. What is z rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293437681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 2*z - 1. Let p be y(2). Let x(s) = -2*s**3 - 11*s**2 - s + 8. Let q be x(-8). Let r be 3 + p + q\/(-162). Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298683 and 6237?\nAnswer: 2688147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3255275 - 4741390. Let y = 1486149.00124 + b. Let v = y - 34. What is v rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -63259*d - 442844. Determine n(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:35 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 4*v**2 + 2*v**2)*(-9422*v + 29904*v + 242 - 242 + 11597*v) to b*v + u*v**2 + z + m*v**3 and give m.\nAnswer: 64158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*t - 201*t + 285 = 195*t. Let i(d) = d**2 - 14*d + 27. What is i(t)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 - 10980*n + 2715040 = 0.\nAnswer: 284, 1912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 22 + 3887\/(-105)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (29 + -58) - 292\/(-29)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32769 = -3388*y + 2395*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:42 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a*i**3 - 7*a*i + 128*a + 61197*i**3 + 13*i**2 - 2125*i - 1 wrt i?\nAnswer: -36*a*i + 367182*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -2*d**2 + 1\/28*d**4 + 1\/420*d**5 + 0*d + 3\/14*d**3 + 0. Find a such that s(a) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/2)\/a**(-5\/9)*((a**27*a*a*a*a*a)\/a)**15)**(-1\/33) assuming a is positive.\nAnswer: a**(-8299\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -5 (c) 8 (d) -13\/9 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/99)\/(180\/120*(-4)\/6).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277.3 - 275.5. Which is the nearest to d? (a) -13 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11818, 47370, 106654, 189670, 296418, 426898, 581110?\n\"Answer: 11866*x**2 - 46*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, t: 1, m: 2, b: 1, u: 5}. Give prob of picking 1 b and 1 k.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/7)\/(-1))\/((-35)\/(8330\/(-782))).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 3. Let p(x) be the first derivative of 1\/3*x**3 + 4*x - x**2 - 21. Let l(a) = -a**2 - 4*a + 3. Let r be l(-5). Give r*p(u) + 3*q(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39920 and 122420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 12*y**2 + 18*y - 14. Let n be u(-9). Let t = 70 - n. What are the prime factors of (7 - 4) + (-165)\/(-3) + t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2025672824 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 61194 divided by 6\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = -j, 2*u - 2 = -28*j + 26*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -421780 or -421779?\nAnswer: -421780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117653441.\nAnswer: 23, 5115367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 4ef6?\nAnswer: 4efa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.06 (b) -5117 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.3 - 4. Let b = 11773 - 11773.2. What is the closest to b in a, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 81 + 4 + (3 - 5) + 1. Calculate the highest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104.959 and 68.205?\nAnswer: 173.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1938 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381640 is divided by 126659.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*g**2 - 452*g**2 - 56*g**2.\nAnswer: -695*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 27*s**3 - 5391*s**2 + 3585*s - 597 = 0.\nAnswer: 1\/3, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023755166 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -330, -323?\n\"Answer: 7*r - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4460, 4464, 4468, 4472, 4476, 4480?\n\"Answer: 4*t + 4456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 63020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -24683.00175 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 136251.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -3*n**7\/14 - n**5\/30 - 68*n**3\/3 - 111*n**2. Find the first derivative of s(l) wrt l.\nAnswer: -180*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 - 4*i + 4. Let x(o) be the third derivative of 0 + 5\/24*o**4 + 0*o - 5\/6*o**3 + 37*o**2 + 1\/12*o**5. What is 7*m(z) + 6*x(z)?\nAnswer: 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 6 - 5) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28772*g**6 - 74*g**2 + g - 3.\nAnswer: 3452640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - k + 33 = 0, -i + 19 = 4*k - k. Suppose 460 = -i*r + 2550. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 91661?\nAnswer: -77\/91661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -3) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 78. Let u = 346 - 326. Let w be c(u). Solve 3*y - 2*y - w = 5*t, 5*y = -2*t - 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 448.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j**2 - 17\/3*j**4 + 0*j + 0 - 16\/3*j**3 - 1\/3*j**5 = 0. What is j?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 2 = -18*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from {s: 6, u: 2, f: 2, g: 4, e: 1, y: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/7 + 898*r**4 - 88574*r**3\/7 - 562174*r**2\/7 - 102828*r = 0?\nAnswer: -3157, -3, -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101505 = -2*m - 22*v - 101339, 7 = v for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3, -19\/10, 3\/52?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by (-225)\/(-1 + 4)*15\/(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + r**2*z**3 + 19*r**2 + r*z**2 - z**3 wrt r.\nAnswer: -20*r**3 + 2*z**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 4*t + 1. Let p be x(-5). Suppose 1 = c + p, 4*g + 5*c = -13. Suppose 5*q - 22 = g. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -28 + 4 + -12 + (-16 - (-1 + -13)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385787093 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 16300999 and 2.\nAnswer: 16301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906640 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.3, -0.5, 2\/3 in increasing order.\nAnswer: -9.3, -0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 5*h - 4*h)*(2 - 1 - 2)*(-12 + 2 - 14 + 1 + 1 + 1 + (-1 + 3 - 4)*(2 + 1 - 2) + 0 - 2 + 3) to x*h + p and give x.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1f8c3f (base 16) to base 9\nAnswer: -3801083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - -19. Let r be (-1)\/4 - 7\/4. Let h be 2*(-2 - r - -14). Calculate the highest common divisor of h and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 84 = 3*y - 35, -39*y - 141 = 3*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 28 - 19) + -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -62. Let b be (-2 - -6) + -2 + f + 1. Solve 4*s = 10 - b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3886443 and 28.\nAnswer: -108820404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i - 204 = 74*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84))\/sqrt(3) + sqrt(280)\/(sqrt(20)\/sqrt(2)))\/(6*sqrt(576)\/sqrt(4)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 166*r + 2. What is n(-1)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 479 * 4899\nAnswer: 2346621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85611?\nAnswer: 3, 28537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39821, 79648, 119475, 159302?\nAnswer: 199129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = f - 22, 21 = -3*f + f + 5*z. What is the lowest common multiple of f and 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*g + 16 = 0, -2*h + 4*g + 4 = -3*h. Suppose 74*p - 78*p - 4 = -4*k, -2*p = -5*k + 8. Put 0, k, h in increasing order.\nAnswer: h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53977247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2357 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 12) in base 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/27 (b) 0 (c) -369\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*g + 14 = 0, 4*g + 12 = -5*b - 19. Let j(y) = -14*y - 7. Let z(a) = 30*a + 15. Let l(c) = 13*j(c) + 6*z(c). What is l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 9.73, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2569\/4 - 618. Suppose -p + 114 = -2*z, -p + 2*z = 3*z - 105. What is the common denominator of -4 - (-3)\/(p\/130) and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 + 142*f + 96. Determine t(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54676*o**5 + 114*o**4 + o**3 - 212*o + 11858.\nAnswer: 1093520*o**3 + 1368*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (549\/7564*4\/(-3))\/(3\/(-2))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218794572 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126163, 125188, 124213?\n\"Answer: -975*o + 127138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 less than -129984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474025.\nAnswer: 5, 79, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114280*f**3*t**3 + 16*f**3*t**2 - 491*f**3 - 2 wrt t.\nAnswer: 685680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + 3. Let h be l(5). Suppose z - h*z = -6. Determine j so that 1 + z*j + 2*j**3 + 3*j**4 - 4*j**2 + 0*j**4 - 5*j = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**3 - 8*l**2 - 2*l + 44. Let k(a) = -12*a**3 + 9*a**2 + 2*a - 44. Let m(c) = -5*k(c) - 6*y(c). Find the second derivative of m(f) wrt f.\nAnswer: -36*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 2*i - 1. What is the units digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7628\/223119*1*-27?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13 and 20317.\nAnswer: 20316.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753281485?\nAnswer: 5, 11, 137, 99971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 - (2 - 12) - -1*8. Sort 43, x, -4, 0.\nAnswer: -4, 0, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:55 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 6. Let m be p(0). Let v(b) = -3 + 27*b**3 + 13*b**2 - m*b**2 - 2*b**3 + 2. Is v(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 8*i**2 - 15*i + 11. Let t = 1247 - 1241. What is n(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -913 times 6553\nAnswer: -5982889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45378419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1961, -3924, -5893, -7874, -9873?\n\"Answer: -i**3 + 3*i**2 - 1965*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1436 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**9\/6720 + r**6\/72 + 13*r**5\/60 + 9*r**2. Let x(n) be the third derivative of p(n). Differentiate x(s) with respect to s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 0 + 0*j**2 + 5\/12*j**4 + 25\/6*j**3 + 19*j. Determine v so that m(v) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 4*b)*(-20*b**3 - 16*b**3 - 4*b**3).\nAnswer: -80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 198*q**2 - 488*q + 75. What is the hundreds digit of i(105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4*(-14)\/(-84))\/(74\/(-12))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/12 + 5*z. Let r(h) = h**2 + h. Let k be r(-1). Let a(j) = k*j - 3*j + 5*j. Determine y(a(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 6.57858.\nAnswer: 13.15716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q + 16. Let g be z(4). Let o(h) = h. Let t(x) = -10*x - 29. Let w(m) = g*o(m) + t(m). Let k be w(-6). Solve 2*y - k + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 1951, 2926, 3901, 4876, 5851?\nAnswer: 6826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 19 + 2*a + 19 + 6*a**2 to the form v + i*a**2 + d*a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*p + 136. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 225472?\nAnswer: -225468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 11*v + 17. Let n(y) = y**3 - 10*y + 18. Let o = 57 - 63. Let r(m) = o*n(m) + 7*p(m). What are the prime factors of r(-8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400 - 398. Suppose -w + 10 - 8 = -i*b, -5*w + 1 = -b. Suppose 2*y + 3*y - 20 = 0. Put 2, y, w in ascending order.\nAnswer: w, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -22, -64, -144, -274, -466, -732, -1084?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 58 = -5*m + 20, -4*k + 60 = 4*m. Let p(h) = 2*h. Let l(v) = -19*v + 2. Calculate m*p(o) + 2*l(o).\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/3 - x**2\/2 + 4*x + 5. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w - 17. Give n(-6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3763 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 225665266?\nAnswer: 1\/225665266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-25) - 1)\/((-266)\/(-95)). Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-96)*-18)\/(15\/(-40)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120\/25 - (-12)\/(-15). Suppose -3*u = -f*u + 1. Let p = 7\/2 - 2. Is u <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*r*x + 2*j**2*r - 16*j**2*x - 71369*j**2 + j*r*x - 421196*r*x wrt j?\nAnswer: 2*r*x + 4*r - 32*x - 142738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/5 (b) -0.2 (c) -2 (d) -4\/237 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1019 * -0.3.\nAnswer: 305.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 2*t + 6. Let d(n) = -5*n**2 + 4*n + 5. Let r be d(-1). Calculate g(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**3 + q**2 + 5*q**3 + 4*q**3)*(3*q + 4*q - 6*q)*(0 - 2 + 1) in the form a*q**3 + i*q**4 + s*q**2 + m*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 987 = -11*g + 12*g, -n = -2*g - 993. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 1, g: 5, x: 1, v: 1}. What is prob of picking 1 y and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194958 is divided by 651.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -57.6, -1.6, 97, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*u + 292*u + 35*u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -89\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3172 (b) -4743 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-9)*(-6)\/(-3)*(-1)\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*j - 1515 - 1233 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p - 14. Let s be q(7). Factor s + 1\/5*d**2 + 2\/5*d.\nAnswer: d*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 36 = -h + 5*m, 3*h = -2*m - 4. Suppose 4*p - 13*y - 4112025 = -18*y, h*p - 2056015 = -3*y. What is p rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4241, 2\/11, 45 in ascending order.\nAnswer: -4241, 2\/11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*k + 645 + 1448 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, 91, -159, -5, 1, 3 in descending order.\nAnswer: 91, 4, 3, 1, -5, -16, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/100 + x**4\/15 - 2*x**3\/15 + 3*x - 15. Suppose n(u) = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:43 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**38*g)\/(g*g**(-2\/3)) assuming g is positive.\nAnswer: g**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/24 + 5*d**3\/6 - 3*d**2. What is h(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/2)\/n)\/n)\/n**(-1\/4))**8*((n**0\/n)\/n)**(-1\/12)*(n*n**2)\/(n*n\/(n*n*(n*n*n**(1\/9))\/n)) assuming n is positive.\nAnswer: n**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 416051*x**3 - 1664202*x**2 + 1664196*x + 8 = 0. Calculate x.\nAnswer: -2\/416051, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8934 (base 13) in base 7?\nAnswer: -106542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 - 4*m - 5. Let h be c(-3). Suppose 0 = -5*z - 2*t - 10, 4*t + 1 + h = -4*z. List the prime factors of (-444)\/(12\/(-3)) - (-4 - z).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d72f2 - 2?\nAnswer: d72f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2*p = -2496. Let y = -306 - p. Solve -t + y*t + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64582 and 296550.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3701 - -3703. Find i such that 21\/2*i**5 - 69\/2*i**3 + 24*i + 15\/2*i**4 - 6 - 3\/2*i**z = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 719580 to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 969 times 7\nAnswer: 6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1402\/47? (a) -0.2 (b) 6 (c) -2\/3 (d) 0.4 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.2745422\nAnswer: -0.12745422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2\/3 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**27\/o**(4\/9))\/((o\/o**(-38))\/o)**20 assuming o is positive.\nAnswer: o**(-6601\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**6\/180 + m**5\/20 + m**4\/8 + m**3\/9 + 2*m - 22. Suppose o(q) = 0. Calculate q.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**5 - 24150*l**4 + 241701*l**3 - 797820*l**2 + 967152*l - 386880 = 0.\nAnswer: -8060, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7520, 30398, 68634, 122228, 191180, 275490?\n\"Answer: 7679*i**2 - 159*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 56 - 52 - 3*d + 5*d. Let v(c) = -c. Determine f(v(q)).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 17, 3, -0.06 in descending order.\nAnswer: 17, 3, -0.06, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = -5*z. Suppose -2*j - 2*p + 0 - 8 = 0, j + 16 = -4*p. Let s(h) = -h - 924 + j*h**2 + h**3 + 920 - 3*h**2. Give s(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -6\/23, 0.046, -1.7?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s - 2. Let z(y) = 116*y + 10 - 4*y**2 - 38*y - 41*y - 40*y. Let i(p) = -10*w(p) - 2*z(p). Let i(t) = 0. Calculate t.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 25, -2*k - 145 = -4*z - z. What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 78949, 78924, 78873, 78784, 78645, 78444?\n\"Answer: -2*j**3 - j**2 - 8*j + 78960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 28\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 + 7*o**3\/3 - 11*o**2\/2 - 11*o - 3. List the prime factors of h(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-148)\/(-2405))\/((-28)\/(-26))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1116 - 1101. Calculate the remainder when 89 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let h(t) be the first derivative of -t**4\/4 - 3*t**3 + t + 1. Let k be h(-9). Which is the third smallest value? (a) 2\/5 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -49d60?\nAnswer: 49d5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/34 - 16*i**3\/51 - 21*i**2\/17 - 36*i\/17 + 125. Factor u(g).\nAnswer: -2*(g + 2)*(g + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1327*l*r*t + 332*l*r - 9194*r*t - 47704*r wrt t?\nAnswer: 1327*l*r - 9194*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8883\/5 - -1777. Let n = -4 + 2. Which is the smallest value? (a) -1 (b) 26 (c) n (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 24318*u + 7634680.\nAnswer: -(u - 310)*(u + 24628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*j**2 - j**6 + 0*j**6 + 31*j**2 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q. Let d be y(1). Let t = -5 + d. Suppose -t*h + h + 21 = 0. What is the remainder when 19 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 506966217 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d + 5. Let k(h) = h + 22. Let q be k(-7). Suppose 14 - q = x. Which is the nearest to x? (a) -0.4 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6687787315?\nAnswer: 5, 11, 4673, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - a**3 - 4*a**3)*(-3 - 3 + 5) + (0*a + 5*a - 4*a)*(a - a**2 - a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21376, -42516, -63656, -84796?\nAnswer: -105936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - 213\/(-9). Suppose 0 = -3*k - u + b, 2*k = -u - u + 10. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4068*s + 1982*s = 97715 + 56512 - 27177 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/16 and -83\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 3. Suppose -5*u + 7 = -p. Suppose 3*d = -4*a + 15, -4*a + d + 4*d - 25 = 0. Solve 5*l = -u*v - v + 14, a = -5*v - l + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720815834 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:01 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(84\/21).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:18 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -116.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -12*t + 4*t. What is the common denominator of 5\/6 + 4\/(-2) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrfrzrrfgzfr. What is prob of picking 1 r and 2 z?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 6*f - 4. Let l(b) = -3*b**2 + 5*b + 3. What is -3*l(w) - 2*t(w)?\nAnswer: w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 51545*f. Let y(m) = -52*m + 63. Calculate p(y(r)).\nAnswer: -2680340*r + 3247335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 + 4 + (3 - 12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112253, -112261, -112413, -112781, -113437, -114453, -115901, -117853?\nAnswer: -120381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6489\/618*12\/(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -299 - -554. Suppose -4*m - i = m - d, 4*m - 188 = -4*i. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-396)\/(-27))\/(-11))\/((-52)\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + t = 6*t - 465, 2*o + 2*t = -906. Let m = o - -916. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 9*f**2 - f - 3. Let w(k) = k**2 - 9*k + 9. Let b be w(6). Is 3 a factor of a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*k**3*z - 15*k**3 - 41*k**2 - 17*z**3 wrt z?\nAnswer: -46*k**3 - 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*t**3 + 7*t - 6*t - 2*t to d*t + a*t**3 + s + p*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3 + 13510*u**2 + 27014*u + 13506 = 0.\nAnswer: -6753, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*(sqrt(121) - (sqrt(121) + (sqrt(121) + 1*sqrt(121))*2))*-4)\/((2*sqrt(880) + sqrt(880) - sqrt(880))\/(sqrt(55)\/(sqrt(11)*-2))))**2.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14040864 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.2 - 3.8. What is x rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002636 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10116044 a multiple of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2541, -2532, -2525, -2520?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 127*d + 250. Is 7 a factor of k(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2013 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feepvxr. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10099*k. Let m(x) = -2*x. Determine a(m(u)).\nAnswer: 20198*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3043719369+-0.07\nAnswer: 3043719368.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*m - 1780*m - 39879 = -214*m - 118854 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 2*h**2 + 2*h)*(h - 1 + 1) - 704*h**3 - 146969*h + 146969*h as x*h + a*h**3 + v*h**2 + k and give a.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 - 3*i**2 - 6*i - 1. Let s(c) = 9*c**3 - 7*c**2 - 11*c - 3. Let w(q) = 11*k(q) - 6*s(q). Is w(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-2))\/((-63)\/(-6)). Let h = -15\/28 + t. Let i be -2 + (-34)\/(-8) + -1. Which is the nearest to 6? (a) i (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Suppose -2*z = -s*j + 640, 3*z = 5*j - 266 - 369. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -23396939.\nAnswer: -23396934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccxxcxiiixmc. What is prob of picking 1 i and 1 c?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 30*i - 5. Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**4\/8 - 4147*f**3\/4 + 461*f**2.\nAnswer: -f**2*(f + 922)*(9*f - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149162987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*h**5\/7 - 46*h**4\/7 + 14*h**3 + 46*h**2\/7 - 60*h\/7 = 0. Calculate h.\nAnswer: -2, -1, 0, 15\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhhhwnfyyyhw. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*n**2 + 64*n**2 + 2*n**3 - 4*n**3 in the form q*n**2 + p*n + g*n**3 + d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/10)*z)**(-4)*z\/(z**(-1)\/z)*z*(z\/((z*z*(z**(1\/11)*z)\/z)\/z*z))\/z)**(-34) assuming z is positive.\nAnswer: z**(6154\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(12\/(-126)). Let d be (-2)\/w - 57\/(-21). Solve d*m = -2*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 89. Let u be k(21). Let n = 0.06 - -3.94. Let r = n + -2. What is the biggest value in -1\/3, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2812151.5\nAnswer: -11248606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9\/2. Let q = -20.83 - -19.93. Which is the nearest to u? (a) q (b) -1\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 29. Suppose -5*w + r + 105 = 0, 2*r = 2*w - 4*w + 42. Calculate the remainder when 63 is divided by s(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3151929 or -3151932?\nAnswer: -3151929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shp when three letters picked without replacement from hprffrprrksk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q - 7. Let t(l) = l**2 + 2*l + 66. Is t(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 3*v - 2. Let z be p(-5). Suppose -81 + z = -2*d. What is the greatest common factor of d and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 22. What is the third biggest value in -0.5, 5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 9. Calculate the greatest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(72)\/sqrt(6))\/sqrt(3))\/((sqrt(12)\/sqrt(24) - sqrt(2))*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.06011 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*t - 2018 - 7879 = 286*t + 3415*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/((sqrt(140)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**5 + 53*o**5 - 26*o**5)*(-14 + 6 + 2)*(-2 + 1 - 1).\nAnswer: 264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 - (2 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 18*n - 1 + 18*n + (3*n - 3*n + 2*n)*(0*n + 3*n - 2*n).\nAnswer: 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8959450 to the nearest integer?\nAnswer: 2993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s + s + (1 - 1 - s)*(-1 + 3 + 0))*(s**3 + 0*s**3 - 3*s**3).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/251053 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2590 - 2590 + 446*a - 182*a).\nAnswer: -528*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.077 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -1\/3, -1, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11370704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59223*c - 124*c - 8561*c + 16978*c + (-2*c + c + 3*c)*(-1 - 2 + 1).\nAnswer: 67512*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98173500 rounded to the nearest one hundred thousand?\nAnswer: 98200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000390351 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13452044 and 67260220.\nAnswer: 67260220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 174000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 709*b - 1116512\/3.\nAnswer: -(b - 1184)*(b - 943)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.4, -225, 337.7?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 48*j - 2. Let z(k) = k**2 - 1. Let s(d) = -g(d) + 2*z(d). Let i(o) = 2*o. Calculate i(s(w)).\nAnswer: -6*w**2 - 96*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600 at most as big as 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-250 - -211) + (0 - -28)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44165, -44168, -44171, -44174, -44177?\n\"Answer: -3*h - 44162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + h**4 - h**4 + (-h**3 - h**3 + 0*h**3)*(-3*h + 5*h + 0*h) - 2*h**2 + h**2 - 2*h**4 + 12*h**4.\nAnswer: 4*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(77) + sqrt(77) + (sqrt(77) + sqrt(77) + -2*sqrt(77) - sqrt(77) - sqrt(77)) + sqrt(77))*5)\/((sqrt(99) - sqrt(11))*6))**2.\nAnswer: 175\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/(36\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**3*y**2 - 17267117*g**3 - 20000*g*y**2 - 3*y with respect to y.\nAnswer: 12*g**3*y - 40000*g*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -1 - 5. Let i be (-64)\/(-3) - (-12)\/18. Let q = b + i. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjus when four letters picked without replacement from sucujcjus.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3988, 3953, 3872, 3727, 3500, 3173?\n\"Answer: -3*t**3 - 5*t**2 + t + 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let t be 5*(63\/15 - 3). Let i be w(t). Solve 4*d - 12 = 2*f, 2*f + d - i*d = -14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by 37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(7\/98*(-126)\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 + 88. Let c = -34 - m. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9. Let p be o*(-2)\/4*1. Let r(x) = -x**2 - x + 8. Determine r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from ssigikovv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -90. Suppose -2*y = 3*y - t. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-1035))\/(1\/(-2))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 22*o = 5*h - 45, 2*o - 4*h = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2145 or 2146?\nAnswer: 2146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29364 - 29363.849112. What is c rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, n: 2, x: 1, v: 4}. Give prob of picking 1 o, 1 v, and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (5\/2)\/(-5). Let p = 76 + -108. Are p and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + 110322122?\nAnswer: 110321101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -481*l**3 - 3*l**2 + 25*l + 27. What is the remainder when m(-1) is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1798722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123517*b - 855 = 123508*b for b.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2114 + 12?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65861218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:25 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032 divided by -1008?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 285176 - 285176. Let z(q) = 153*q**2 + 2. Determine z(x(o)).\nAnswer: 2448*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*u + 28 = 0, 0 = 283*o - 280*o - 5*u + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 185 = -5*p, -2*p - 63 = -0*h + h. Let v = p - -39. Suppose 3*x = -3, 3 = 3*o + v*x - 4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256128 and 1177255?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*h**2 + 24*h**2 + 26*h**2 - 14*h**2 - 15*h**2.\nAnswer: 151*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058691?\nAnswer: 3, 359, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075*w + 2213*w + 1688*w.\nAnswer: 2826*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -2.1764.\nAnswer: 1.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.49 and -0.5.\nAnswer: -0.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 1, s: 5}. What is prob of sequence cy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-162)\/95 - (-162)\/(-5130)*20\/(-6)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46c4 - -258?\nAnswer: -446a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32627848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppuppppxupupppppx. Give prob of picking 1 x and 1 p.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*z + 6, -21 = -0*l + 4*l - 5*z. Suppose l = -x + 3. Differentiate -1 - 2*j**x + 2 - j**2 with respect to j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 33*n - 1. What is v(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -274*o**2 + 2461*o + 40. What is m(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -23 - q + 29 + 0*q. Suppose -2*z + 6 = -z. Let y be a(z). Solve y = -3*g + f - 6, -2*g + f = -f + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-12))\/(4*(-6)\/192). Which is the third biggest value? (a) 1 (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(76) + -3 + sqrt(76))**2 + -4 + (-2 + sqrt(76))**2*6 + -3)*5.\nAnswer: -11805 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68103*r**3 + 2717*r**2 + 2*r wrt r.\nAnswer: -408618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173 = -4*z + 2*g + g, 0 = -z + 5*g - 272. Let j = 0 - 2. What are the prime factors of (j\/(-6))\/((-9)\/z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620.828 kilograms in grams?\nAnswer: 4620828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -19. Let z = -8 + x. Let d be (428\/95 - (-44)\/(-110)) + -4. What is the second biggest value in -2, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 6. Let r(w) = 8*w + 17. Let b = 68 - 68. Suppose 2*a + 14 + 8 = b. Give a*x(t) + 4*r(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8 + 12 + -3 - 24)*-2467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 1.85.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-22)\/(-264)). Let w = 46 - 44. Calculate the lowest common multiple of (-1)\/(-5)*c*-60 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.5 - 0.3. Let n = g - -32.9. Let t = n - 18. Which is the smallest value? (a) -0.3 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 - 5)*-1 - 6 - 6978\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -8, 0.5, -2\/23, 3230, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4235 - -4871. What is the greatest common factor of 1431 and o?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 3. Let k(q) = -8*q**2. What is k(t(w))?\nAnswer: -8*w**2 + 48*w - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z + 3*z + 2 - 10*z. Let x = -41 - -38. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 b, and 1 m when four letters picked without replacement from {w: 1, b: 2, j: 4, m: 4, s: 3, x: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*b + 8*b + 19*b - 4*b as q + x*b and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11010001110100100 (base 2) to base 14\nAnswer: 2b216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1154, 1, 31, -3, -1, 4, 18 in increasing order.\nAnswer: -3, -1, 1, 4, 18, 31, 1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7. Let p(i) = -3 + 2 + d + i**2. Let r(u) = u**2. Calculate p(r(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 + 250116096*h\/13 - 250116098\/13.\nAnswer: 2*(h - 1)*(h + 125058049)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 79 + 1724 + 15*s**2 + 16*s**2 - 47*s**2.\nAnswer: -4*s**2 + 1645","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(2 + sqrt(11) + (sqrt(1100) - sqrt(11))).\nAnswer: 40 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 + 3*o - 5. Let f be u(6). Suppose 2*p + 10 = -4*i, i + 2*i - 20 = 4*p. Let a = f + p. What is the greatest common factor of 64 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g - 35 + 17 + 18 + 0*g + 0*g. Let z be (-4)\/(-14) + 24\/14. Let w(b) = 2*b**z + b**2 + 7*b**2. Calculate v(w(u)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 14 + -23 + (-2 - 1) - 37?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 + 18*m + 28. Give p(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/550 + 38873994\/(-33). Round a to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838801261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - 9*m + 6*m, -q - 3*m = -12. Solve q = -i + 8*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -37252?\nAnswer: -37251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-98)\/(-539) - (8\/10)\/((-44)\/(-10)). Sort 4, -4, z, -128, 8 in descending order.\nAnswer: 8, 4, z, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16055 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6330409*h**4 - 7499946 wrt h?\nAnswer: -25321636*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 7*m - 7. Calculate h(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-5)\/(5\/2)). Suppose -2*u + 2*y = -12, -1 = 3*u + i*y + 1. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00696138 + 7.90695398. Let o = w + -7.9. Round o to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 367\/3. Find g such that -x*g**3 - 10\/3*g - 4\/3 - 8\/3*g**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 71.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 19. Let v be (0 - 2)*(-3 - 74). Suppose 0 = -k - 3*r + 71 - 15, 0 = 4*k - 2*r - v. What is the remainder when k is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 15007?\nAnswer: -1500a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5106a + -1048?\nAnswer: 50022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -42*a**4 - 634*a**3 + 612*a**2 + 64*a = 0.\nAnswer: -16, -2\/21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5343284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b + 7. Let y be k(0). What is the lowest common multiple of 20\/(-70) - (-128)\/y and 13 + (-1)\/(-4) + (-30)\/24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299\/10 bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-2)\/(-6) - 28\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 20*p + 9. Let r be m(-5). Suppose r*y + 50486 = -66694. What is y rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121959587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/12 - 31*f**2. Let p(d) be the third derivative of 19*d**4\/24 - 75*d**2. Give p(b(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 + 52*g**2 - 32*g + 15. Give b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/27926996 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15805 divided by -5?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 161*p - 10134. Calculate g(40).\nAnswer: -2094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43150*w + 76 = -43131*w. Solve w*v + 5*k = 6, 2*v - 4*k + 10 = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(4 - 2) - -2. Suppose -2*i + q + 6 = 0, 5*i - t*i - 3 = -4*q. Suppose -6*o = -i*o. Solve o = -4*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30\/41 (b) 3\/10 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 482*k**3\/3 - 160*k - 537. Differentiate h(f) with respect to f.\nAnswer: 964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6892 is divided by 275?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1 + 4. Let y be 1*(-2 + 1 + -2). Let g = -1 - y. Solve 8 = -g*l, 4*c = -n*l - 2 - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 69*i**2\/5 - 120*i - 180.\nAnswer: 3*(i - 30)*(i + 2)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 10) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58836 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 710168766 divided by -6\nAnswer: -118361461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1424, 0.3, 16, -0.1, -2 in increasing order.\nAnswer: -2, -0.1, 0.3, 16, 1424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10518*p**3 - 1 + 11151*p**3 + 1.\nAnswer: 21669*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*h + 29*h + 1984. Calculate the least common multiple of 176 and h.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1126, 3458, 5788, 8116, 10442?\nAnswer: 12766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 61332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 239, 358, 497, 662, 859, 1094, 1373?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (568\/20 - 40\/100)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 291 divided by 621869\nAnswer: 291\/621869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 150 = 3*b. What is the hundreds digit of ((-79)\/1)\/(5\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c = -2188 + 608 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let i be (-6)\/((-2)\/(k\/2)). Suppose -i = 2*d, -61 - 6 = -2*y + 5*d. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -535200 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-39 + 20) - 30.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4\/2 - 5121*u**3 + 491664*u**2 + 2033289*u + 3073005\/2 = 0?\nAnswer: -3, -1, 103, 3315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31589547 is divided by 5851?\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 21 + -5 + -4 + 0 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*j - 122*j - 21*j)*((3 - 2 + 0)*(j - 4*j + 2*j) - 15 + 68*j + 39*j - 17 + 32) as b*j**2 + c*j + k and give b.\nAnswer: -17596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from jjgdggfjggjjjgqqmq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-7 - -6) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 106 = 4*h. Let d = -15 - h. Let q = 6 + -6. Solve q*t + t = 2*k + 1, 0 = 2*k - d*t + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:23 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17724 smaller than 17725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 5. Let r(j) = 6*j - 5. Determine 4*r(b) - 5*w(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4616*j + 2317*j - 76 = -2337*j. Let -4\/3*i - 5*i**j + 20\/3 + 1\/3*i**4 - 2\/3*i**3 = 0. What is i?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68861, 275442, 619761, 1101830, 1721661?\n\"Answer: 2*q**3 + 68857*q**2 - 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r - 21. Let a be i(-2). Suppose 4*t - w = 1779, 2*t + a*w = 17*w + 894. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 917304762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 3*t**6\/2 + 13*t**2\/2 + 7. Find the second derivative of a(g) wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0. Let i = t - -0.38. Suppose 15*f = 33*f + 61*f. Which is the second biggest value? (a) -4 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 - 277. Solve 0 = -3*y + b*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75993997?\nAnswer: 53, 1433849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*r**2*y**3 + 2*r**2 + 20*r*y**2 + 2*y**2 wrt y?\nAnswer: 264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-114)*19\/(-76)*3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131508 + 40692 = -232*v + 56*v. What is the highest common factor of v and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16379\/10 + 1636. Find the common denominator of h and ((-5)\/30)\/((-1)\/4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7129941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0266 and 279?\nAnswer: 7.4214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982 = -5*v + 4*o - 949, o - 3 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(9)*2) - (sqrt(110) + (sqrt(110) - sqrt(110)*4))\/sqrt(2))\/((sqrt(44)*-5 - -2*sqrt(11)*3)*6).\nAnswer: -5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344, -1264, -1130, -942?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2080 divided by -3.\nAnswer: -2080\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 + 10*d + 1. Let l(t) = 8*t**2 + 9*t + 2. Let c(q) = -7*a(q) + 6*l(q). Calculate the remainder when c(-9) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 2*m**4\/3 + 3*m**2 - 2*m. Differentiate x(o) wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*h - 1. Suppose 0 = 2*c + 2*n + 4, 5*c - 3*n + h - 7 = 0. Suppose c*g - 4*g = 0. Solve g*s + 5*s + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/sqrt(8) + sqrt(49))\/sqrt(7) + 2 - (3 + (sqrt(343) - (sqrt(343) + -1))**2).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 52. Let z = l + 9. What is the units digit of ((-12)\/14)\/(3\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10224a (base 11) to base 5.\nAnswer: 20222014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*i*n - 14*i*y**4 + 2*i*y + 8*i + 15*n*y - 1 wrt y.\nAnswer: -56*i*y**3 + 2*i + 15*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0690392 minus 288822?\nAnswer: -288821.9309608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/480*(-5)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 43 = -4*p, -3*p = -4*k - 23 - 4. Calculate the remainder when p is divided by (8 - (2 + 1)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -4*v**3\/3 + v**2 + v - 3. Suppose -2*z - 13 = 5*u, -u = 5*z - 4 + 25. Let s be o(u). What is the nearest to 2 in s, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 97 = 7*r - 67 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + (-9)\/(-2))*148\/16. Is -5 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 345 = -7*y. Let r = y - 61. Let k be (40\/6)\/(r\/12). What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9333810 divided by -3?\nAnswer: -3111270","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.246 (b) -5 (c) -0.06 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and -301 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.85 in 15, -108, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.2 + 448.\nAnswer: 499.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3 - 1 - 4*m - 2 - 3*m**2. Let f(a) = -3*a**2 - 17*a. Let v(l) = -l**2 + l. Let k(w) = -f(w) - 6*v(w). Calculate -3*k(y) - 8*p(y).\nAnswer: -3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -63.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 23*v**3 - 4*v**2 - 2*v + 8. Give i(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 474, 666, 808, 894?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 - b**3 - b**2 - 4*b - 7. Let q be t(-3). Solve 0 = 4*r - 3*g + 4*g - 8, 4 = 2*r - q*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 462 = 288. Let t(g) = -g**3 + 29*g**2 + 32*g - 48. Let z be t(p). Put 1, -5, z, -4 in descending order.\nAnswer: z, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-429)\/9 + 2)*(-3 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*y + 27837 = -545*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**18\/(r**13*r))\/(r**(2\/13)\/(r\/r**(5\/4)*r)))**(-2\/43) assuming r is positive.\nAnswer: r**(-239\/1118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26255 = 518*o + 22437 for o.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5556, 22211, 49976, 88857, 138860?\nAnswer: 199991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5 + 1922*c**4 - 436684*c**3 - 12264692*c**2 + 27547854*c + 39373938 = 0.\nAnswer: -27, -1, 3, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15102922 to the nearest ten thousand.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 369 + 166)*(-j - 2*j + 4*j).\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94869 or -3?\nAnswer: -94869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 - 30640352*o + 183842256 = 0.\nAnswer: -7660094, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1075717, -1075775, -1075835, -1075897, -1075961?\nAnswer: -1076027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 take away -0.219833?\nAnswer: 76.219833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)*19\/6 + (-28)\/(-168)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 117973 = -11*u + 74828, -5*s - 52549 = -3*u. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3766 and -0.51?\nAnswer: 3765.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**2. Let c(q) = -1744472*q. Determine c(j(k)).\nAnswer: 20933664*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 56\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 11*h + 121 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 16*o + 2*r = -2, -4*r + 8 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3994 divided by -2?\nAnswer: -1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 23. What is s(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651*h + 659*h - 1384 = 0. Which is smaller: h or 176?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*4)\/(-6*22\/(-66)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.21692, 4\/3, -2\/9 in ascending order.\nAnswer: -3.21692, -2\/9, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + 3*f)*(351*f - 492*f - 297*f).\nAnswer: 438*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3830944117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.246 times -14.5\nAnswer: 18.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1\/16, -3, 9\/19?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 23717*k**2 - 23717*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h + 71*h - 75*h - 342 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*y - 46, 0 = -y - 0*l + l + 10. Calculate the highest common factor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbdyuuzzuddyi. Give prob of sequence bzyu.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14 - 2*g + 28*g**2 + 4*g - 25*g**2. Let b be u(3). Solve 5*p + 3*q + b = 0, 0*q = -p + 4*q + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + sqrt(26)\/sqrt(2) + sqrt(13))**2 + sqrt(13))*6 - (-6*sqrt(26)\/sqrt(2))**2) + (6*(-4 + sqrt(1053) + -1 + sqrt(1053)))**2.\nAnswer: -6474*sqrt(13) + 152766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cow when three letters picked without replacement from ohhwwpowwwcphvoophpv.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.08, -7 in ascending order.\nAnswer: -7, -1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f, 0*g - 3*f = -g + 18. Suppose 2 + 4 = 2*r. Suppose -5*s - 4*i - 68 + 174 = 0, 0 = 2*s + r*i - 48. What is the least common multiple of s and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 0 + 0)*(5 + q**2 - 5) + q**3 + 4*q - 4*q + (-7*q - 2*q**2 + q**2 + 5*q)*(-588*q + 46*q + 21*q) in the form p*q**2 + f*q**3 + v + w*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:29 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203 + 37*a**3 - 2*a**2 + 161 + 107 wrt a.\nAnswer: 111*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 7, 3*c + 215 = 2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -19*f + 7. Let c(h) = -10*h + 4. Calculate 5*c(o) - 3*y(o).\nAnswer: 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 19 = -7*b. Let h(t) = b*t + 8*t - 10*t. Let w(p) = 26*p**2. Calculate h(w(a)).\nAnswer: 130*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-60)*6\/8*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 1. Let a be g(1). Let d be 2\/(-7) + (-2244)\/231. Let f(c) = 3*c + 33. Let p be f(d). Solve x = -a*x - p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244446275 to the power of 1\/2, to the nearest integer?\nAnswer: 15635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16631 = 3*x + 3*l + 16354, -33010 = 3*x - 2*l. Round x to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*l + 12, 4*v = 2*l + l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 86\/11. Let u = -1 - -1.3. Put u, b, 5 in decreasing order.\nAnswer: 5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 13. Let f be (2\/1)\/((-57)\/6 + 9). Let w(h) = -4*h + 11. Let v(k) = f*c(k) - 5*w(k). Let y(l) = -2 + 17*l + 2 - 7. Calculate 7*v(d) - 3*y(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-635)\/508 + 104\/32. Let -5*y**4 - 5\/2*y**5 + 0*y - 5\/2*y**3 + 0 + 0*y**a = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 - 11*a**2 + 3 + 11*a**2 in the form b*a**2 + i*a + t*a**3 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 1\/3 (b) 3 (c) -22 (d) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -4*n + 89. Suppose r - 10 = u + 1, 40 = 4*r - n*u. Find the common denominator of 44 - (r - (5 - 1)) and 38\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**(-2\/11))*a*a**(-1\/3) assuming a is positive.\nAnswer: a**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 81 - p**3 - 126*p + 450*p.\nAnswer: -p**3 + 324*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(h - h - h) - 3 + 3 + 10*h - 8*h + 15*h - 11*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729963.\nAnswer: 191, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + p**3 + 19 - 3*p**4 - 32108*p**2 + 32108*p**2 to f*p**4 + v*p**3 + t + c*p**2 + z*p and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 - 1219040*j**3 + 3657096*j**2 - 3657088*j + 1219028 = 0. What is j?\nAnswer: 1, 304757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23 + (-6)\/9*-6. Suppose 0 = 4*v, 0*v + x = m + 3*v. Suppose -5*k + 216 = -4*k. Calculate the highest common divisor of m and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.44*0.2.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*u + 5*u - 6 = 0, 2*p + 5*u = 15. Which is smaller: 10\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-4))\/(54210\/28912)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) 1.9583 (c) -718 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 2\/643, 2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4219 rounded to two decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 0.3, -1\/103, 9, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*a**4 + 9*a**2*q**3 - 18*q**3 - 9*q**2 wrt a.\nAnswer: -340*a**3 + 18*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 5*i - 3. Suppose 3*m + 3*d = 3, -7 = 3*m + 5*d - 20. Let c(j) = -4*j**2 + 6*j + 3. Give m*c(p) - 5*q(p).\nAnswer: p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.04861 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 minus -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hsshhshhhhh.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017351646 to six dps.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 745, 765, 785, 805?\n\"Answer: 20*z + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v. Let i be (1*2)\/((-26)\/39). Let k be (-3)\/i*2 - (2 - 4). Let l(r) = -8*r - 4*r - k*r + 6*r. Give s(l(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 13. Let i be (-5*l\/(-105))\/(4\/(-486)). Let t be 3\/(-2) + 999\/18. Calculate the highest common divisor of i and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/10 - t**4\/6 - t**3 - 5*t**2\/2 - 182*t - 2. Let j(x) = 6*x**3 + 6*x**2 + 17*x + 14. Give -17*g(c) - 6*j(c).\nAnswer: -2*c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -34\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46 * 0.2\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -201*l. Let h(s) = 21*s. Give h(v(x)).\nAnswer: -4221*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15 - 44 - 2*g - 13. Let y(b) = -133*b - 17. Let c(i) = -47*i - 6. Let j(u) = 17*c(u) - 6*y(u). Determine r(j(o)).\nAnswer: 2*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8191 and 647089?\nAnswer: 647089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h**2 + 2*h - 1. Let k be q(5). Let g = k + 36. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 2*v - 2*v + 2*v**5 - 3*v**5 - v**5 - 2*v + (v + 0*v - 2*v)*(v**4 - v**4 - v**4).\nAnswer: -3*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*s - 1034, 1412 = 4*s + 5*k - 660. Calculate the smallest common multiple of 24 and s.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 6*o - 5*o + 0*o. Let z(d) = d. Let r(h) = -5*h. Let j(n) = r(n) + 2*z(n). Give j(i(c)).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 38. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/((-1*sqrt(56))\/sqrt(7)))\/(5*(sqrt(6) + sqrt(6) + sqrt(216))*5).\nAnswer: -sqrt(3)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*36\/(-621)*1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-85)\/17)\/((-1)\/14478)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15578311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = 20*z - 0*z. Let h be (6 - 1 - (-143)\/z)\/6. What is the closest to h in -4, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1698)\/(-114615) - 428\/(-270).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*p - 4, x - 6*p - 6 = -8*p. What is the third derivative of -6*z**6 - 7*z**2 - 2*z**x - 11*z - 11*z**5 + z**6 + 7*z**6 - 20*z**5 wrt z?\nAnswer: 240*z**3 - 1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/166 (b) -875 (c) 0.3 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 18*c - 534 = 0. Calculate the remainder when c is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1728274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5329987*s**2 + 4239758*s?\nAnswer: -10659974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2592))\/(-4*sqrt(18)\/sqrt(2)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 0*b + 10*b**3 - b**3 as d + z*b + q*b**2 + m*b**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o + 20. Suppose 0 = 5*m + 3*d + 36, -o*m - 5*d - 22 = -4*m. What are the prime factors of (m\/4)\/(3\/(-364))?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/2212 + -130553\/33180. Find the common denominator of -67\/140 and z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1525.35 - 1525. What is the nearest to 0.8 in -2, v, -1, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14579218.\nAnswer: 2, 7289609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - (0 - 2). Let y = 325 + -2267\/7. Suppose 2\/7*u**p + y + 8\/7*u = 0. Calculate u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let m be a(-5). Suppose -7*n + 74 = -3. What is the highest common divisor of n and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 46.3 (c) -1523 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*(-2 + 2) - -2)*2. What is the third derivative of 2*g**2 + 4*g**2 + 16*g**4 + 12*g**2 + 3*g**i wrt g?\nAnswer: 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 1344665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -91. Let n = -124 + l. Let b = -68.49 - n. What is b rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121515466?\nAnswer: 2, 60757733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052 divided by -57.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68471.71 micrograms in kilograms?\nAnswer: 0.00006847171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2862, 2447, 2032, 1617?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -5*t**7\/42 - t**4\/4 - 7*t. Find the third derivative of i(o) wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -3250, -10955, -25952, -50671, -87542, -138995?\nAnswer: -207460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (0 - 3 - -6). Suppose -3*a + n = 2. Sort 5, a, 4.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3053 - -21314\/7. Let a = 123\/28 + m. Calculate the common denominator of -43\/252 and a.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 52*f + 3*f - 7 + 2 - 18*f - 6*f.\nAnswer: 31*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -dba?\nAnswer: -db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 19*j**3 + 4*j - 3. Let a be l(1). Suppose -t - 12 = 3*y, 2*t - a*y = -18*y + 16. What is the second smallest value in -87, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 35 = 3*p - 19, 5*p + 24 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -116 - -83 - 109?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2517474288 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-2)*69\/1035*(-10)\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 10*y**2 + 27*y + 102. Let b be n(-6). What is the highest common factor of 3108 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 + 2*g**3\/3 + g**2. Suppose -5 = 3*r - 14. Suppose -2*m + 21 = 5*p, r*m - p = -5*p + 14. Calculate n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t - 48 = -38*t. Suppose -645 = 10*v - 13*v. Calculate the remainder when v is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*q - 175*q - 13*q + (-1 + 1 + 2*q)*(3 + 2 - 1).\nAnswer: -76*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(112)*-3.\nAnswer: -12*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3\/6 - h. Let s(d) = -6*d. Let o be (162\/(-12))\/(1\/2). Let f(j) = o*a(j) - 4*s(j). Let x(c) = c**2. Determine f(x(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + 11*m**4\/6 + 47*m**3\/6 + 21*m**2\/2 - 970*m - 1. Give j(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1039.\nAnswer: -415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 1, b: 2, w: 1, c: 3, e: 1}. What is prob of picking 1 w, 1 p, and 2 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: c475d (base 15) to base 9\nAnswer: 1148117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5536178 rounded to three decimal places?\nAnswer: -0.554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 147\/35 + -5 + (-11)\/(-20). Which is the second smallest value? (a) 4 (b) 0.5 (c) 2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*c = 88477, 4*m - 2*c - 2*c - 70784 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 16411\nAnswer: -4923.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144817 is divided by 20581.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 20, 9, -8, -31, -60?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35606603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1119 and -137\/26076.\nAnswer: 9726348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 249, 0 in decreasing order.\nAnswer: 249, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 8*x - 3*x - 10, -6 = -x + 3*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 328357122 a multiple of 2238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -35*i**5\/2 - 2788*i**4 - 30513*i**3\/2 - 29744*i**2 - 23714*i - 6456 = 0.\nAnswer: -1076\/7, -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 542*t**4 + 1284 - 272*t**4 - 269*t**4 - 2*t**3 + 2*t**3 + 603*t wrt t.\nAnswer: 4*t**3 + 603","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30325588 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125038 and 34.\nAnswer: 2125646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16359 = -5*h - 4*v, -9818 = -3*h - 10*v + 5*v. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 3 + -5 - (1 + sqrt(1584) + 2*sqrt(1331)).\nAnswer: -33*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14757, -14682, -14567, -14418, -14241?\n\"Answer: -h**3 + 26*h**2 + 4*h - 14786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 426*q**2 + 146476*q + 2063\/2.\nAnswer: (6*q + 2063)*(142*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -h. Suppose 4*o - i + 9 = 21, 0 = -3*o - 3*i - 6. Suppose -2*p - o = -p. Sort h, -1, p in descending order.\nAnswer: h, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27488600.\nAnswer: 2, 5, 137443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-89 - -91 - (1 - 3))) + -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5)*2\/4. Suppose -55*x + 56*x = 4. Suppose -l - 5 = 0, -n - x*l - 31 = -8. Which is the biggest value? (a) n (b) 0 (c) j (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 3*y**6\/10 - 78*y**5\/5 - 55*y**4\/6 + 88*y**3\/3 - 35*y**2\/2 + 27*y - 2. Factor m(t).\nAnswer: (t - 35)*(t + 1)*(3*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:10 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*i - 13*i + 12*i.\nAnswer: -43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 27*b - 11*b)*(0*b + 0*b - b)*(-b**2 + 0*b**2 + 0*b**2).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 34. Let b = j - -63. Calculate the remainder when 46 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -39, 3, -290\/17?\nAnswer: -290\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, 7886, 1, -1 in decreasing order.\nAnswer: 7886, 2, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.6404443 to two dps.\nAnswer: -60.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**2*t**2 + 52*c**2*t*z - 21275*c**2 - 5*c*t*z - 26*c*t + 2*t**2*z - 3*t*z - 5*t - 121*z - 2 wrt c.\nAnswer: 24*t**2 + 104*t*z - 42550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-7 - -2)*-157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8277*g**3 + 2062*g**3 + 2058*g**3 + 2106*g**3 + 2056*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9598481 or 9598442?\nAnswer: 9598481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 6381120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:06 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(40)\/sqrt(5)) - ((sqrt(15) - sqrt(60))*-1 + sqrt(15)))\/(-1*-3*((sqrt(405) - (1*sqrt(405) - sqrt(405))) + sqrt(405))).\nAnswer: -sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**8*t**5)**(-1\/24)*((t**0*t)**(-1\/30))**(-2\/33) assuming t is positive.\nAnswer: t**(169\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -777 + 1570. Let b be (8\/11)\/(-8) + s\/11. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154 - 10 - 49 - 9\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, 4*n - 19 = -r - 2*r. Let q be (4 - n)*64\/6. Suppose -4*y + q - 12 = 0. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 25 = 0, -153*m - 25 = 5*l - 147*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 11 = 4*d. List the prime factors of d\/1*-4 - -1709.\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55944, -111850, -167706, -223512, -279268, -334974?\nAnswer: -390630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - -14?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270398290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -6)\/(1 + -3). What is the biggest value in x, -3\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1385.2 - 1383. Which is the second biggest value? (a) 0.09 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooiio. Give prob of sequence oi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 - 5*b + 7. Suppose 22 = -5*i + 2. Does 15 divide m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 377339175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 510\/4 + -3*4\/24. Let u(q) = p - q - 5*q + 2*q. Is u(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 248 - 155. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a millennium in centuries?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/10 - a**4\/4 - a**3\/6 - a**2 - 7*a. Let y be n(-2). Suppose 9 = -20*u + 23*u. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + -1 + 80 + -82?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 11121411?\nAnswer: -11121413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*o = 8, 0*j + 3*o + 12 = 3*j. Suppose 0 = 2*k - 0*k - 16. Solve -j*g - 2*d = 9 - 1, 0 = g - d + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 + 928817*x = 0. Calculate x.\nAnswer: -928817, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -98. Let j be (-4)\/(d\/(-12))*-5. What is the third derivative of -5*p**3 + 0*p**j - p**2 + 16*p**3 - 4*p**3 wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/75)\/(26\/(-6))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 6 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrmvrlv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 36 = 24. Suppose 3*w = 6*w - g. Solve -w*v + 5 = -11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -15. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/(m*m*m**(-2\/17)*m)*m*m)\/m**(-4\/3))\/(m\/(m*m**(2\/7))*m**(-2)))**24)**28 assuming m is positive.\nAnswer: m**(65536\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2981*d + 14. Let z be w(-4). Suppose o = -2*o + 4*y + z, -3*o - 2*y = -11914. Suppose -5*g + o = -1001. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17595 divided by 15?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v - 4*v - 19*v)*(134*v**3 - 79*v**3 + 15*v**3 + 409*v**3).\nAnswer: -17723*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (sqrt(135) + (2*sqrt(135) - sqrt(135) - sqrt(135) - sqrt(135)))\/sqrt(9))*4)\/(1*2*sqrt(3) + sqrt(108)\/sqrt(4)).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {p: 1, r: 2, x: 1, j: 1, z: 2, b: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 2*f = 4*i - 10, -20 = 2*i + 2*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194\/15 + 64\/5. Which is the nearest to 0.2? (a) -0.1 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4866*h - 6. Let n(i) = -3247*i - 4. Give -11*n(q) + 7*w(q).\nAnswer: 1655*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/5 (b) -3 (c) -1 (d) 0.4 (e) 0.71 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*c + 116 = -75*c. What is the units digit of (193*1)\/(c\/232)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 38. Let k = 6 + 192. Calculate the highest common factor of x and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**2 + 4\/3*l + 4\/3.\nAnswer: (l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z - 98. Let t be n(14). Suppose -13*s - 2813 + 12303 = t. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5\/5 - 8522511*t**4\/5 - 68180214*t**3\/5 - 187495698*t**2\/5 - 204540813*t\/5 - 15340563 = 0.\nAnswer: -3, -1, 2840845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.738394062 to 3 decimal places.\nAnswer: 1.738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6066 + -6066.03637. What is j rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 204*q**2 + 2*q + 4. Let d be o(2). Is 824 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/15 (b) -5 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(1\/6)\/(i\/(i**(-6)*i*i*i)*i*i\/(i*i*i*((i*i*i\/(i\/(i\/((i*i\/i**5*i)\/i*i*i*i)*i*i))*i)\/i)\/i*i*i*i)) assuming i is positive.\nAnswer: i**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/(-13 + (-120)\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*z + y = -689*z - 683*z - 39, -8*y - 6 = 2*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17067.26 and -45.\nAnswer: -768026.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643020 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10398 and 842238.\nAnswer: 842238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40131 + 12341?\nAnswer: 103022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*i - 8333 - 11886 - 1620 = 1607 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - z - 156, 0 = -28*h + 31*h + 5*z - 163. Solve -2*d - 58*c = -59*c + 6, -4*c - h = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 7. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 459, 451, 443, 435?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -122096.6 to the nearest 1000.\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536552, 537007, 537462, 537917, 538372?\nAnswer: 538827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-2) - -75 - -1. Suppose -5*g + 49 = 5*z - 6*z, -5*g + 53 = -2*z. What is the greatest common divisor of s and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.355 - -416.\nAnswer: 415.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 + 2*a - 4. Let m(s) = 6*s**2 + s - 5. Let i(f) = -5*k(f) + 4*m(f). What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1293 * 1.6.\nAnswer: 0.20688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.4. Let s = -0.5 + -0.35. Let w = -0.15 + s. What is the closest to w in -7, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 13009100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/25*(-3465)\/231\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/4 + 216881*d\/4 + 216883\/2 = 0.\nAnswer: -2, 216883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - q + 1. Let i(t) = 266*t**3 + 7*t + 242. Let n(l) = -i(l) - 5*m(l). Differentiate n(c) with respect to c.\nAnswer: -828*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-33))\/(4\/(-22))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 10*b + 11. Calculate d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96173, -200517, -304845, -409151, -513429, -617673?\nAnswer: -721877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709073375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2079 and 30.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*t + 195*t = -10 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 16. Let y be l(0). Let c = 39 - y. Let j = c + -19. Calculate the greatest common factor of j and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 1, r: 1, q: 1, w: 1, h: 1}. What is prob of sequence ahw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 58593659?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*g + 15 = 0, o + 13 = 8*g - 5*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*w + 6, -3*p - 11 = 3*w - 2. Suppose 5*m - 51 = 3*q, -2*q + p*q = -4*m + 36. List the prime factors of q\/(4\/1) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*w = -23, 4*w = -5*i - 4 + 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.232 and -48?\nAnswer: -11.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9504 by -18.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*i + 87*i = -33. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/15 - (-16)\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**19*m)*m\/m**(7\/5) assuming m is positive.\nAnswer: m**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -25*m - 61 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34496310.\nAnswer: 2, 3, 5, 359, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907270909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*l)*(-41 + 24 - 26*l + 23) + 0*l**2 + 2*l**2 - l**2 to the form q*l + y*l**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11176 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*r - 43 = -10, -21 = -2*d - 3*r. Suppose 0 = 12*z - 21 - d. Solve -2*i + z = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1027 + 4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-16*j - 34*j - 17*j) + 39*j + 26*j - 6*j - 3*j + 0*j + 4*j in the form m*j + h and give m.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 310632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/((-3606)\/(-225) - (-85 + 101)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.484 to two dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(187) - -2*sqrt(187)) + sqrt(187)))\/(sqrt(1100) + (sqrt(1100)*3 - sqrt(1100)) + sqrt(1100)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4821 by 137.\nAnswer: -4821\/137","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)*-2 - 3. Let d be (92\/10)\/((-16)\/(-80)). Let i = 50 - d. Put -5, x, i in decreasing order.\nAnswer: i, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 0, 4*o = 5*p + 67 + 33. Solve o = -6*y + y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 + 156.05. Let x = -0.05 + h. Let i = -4.0002 - x. What is i rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*o + 1. Let v(b) = -b. Let g be v(0). Let m(t) = -2*t**2 + 137*t - 74. Let k be m(68). Sort k, g, o in ascending order.\nAnswer: k, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8465*c**3 + 8468*c**3 + 126426*c - 126426*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 3. Let g(z) = z - 1. Let x(v) = 15*g(v) - 6*i(v). Let k be x(-2). Sort -2, k, -5 in decreasing order.\nAnswer: -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 2}. What is prob of sequence spss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 - 1551*u**2 + 195*u + 759. Give l(-194).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -33*i + 29*i. Calculate the greatest common factor of i and 175.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p + 102*p**2 + 1416 - 123*p**2.\nAnswer: -21*p**2 + 1416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12815*n**2 + 12*n - 12*n + 12801*n**2. Let c(p) = -215*p. Determine o(c(l)).\nAnswer: -647150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 2*f + 5 + 0 to i*f + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -789 minus -0.007?\nAnswer: -788.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-48 + 48 - -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmc when three letters picked without replacement from {e: 1, c: 7, m: 11}.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78264*c**3 + 78266*c**3 + 78272*c**3 - 234804*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose -c - 2*s = -2, 2*s - 20 = -v*c - 2*c. Solve -c = -l - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 2*f. Suppose -5*v + 42 = 4*m, -4*m = -f*v + v - 6. Solve 0 = l - v*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 54702 = -5*l, 2*l + 28*y = 24*y + 21894. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 2\/7, -4\/9, 34, 1.38, 1\/5.\nAnswer: -4\/9, 1\/5, 2\/7, 1.38, 34, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-16) + (-109)\/(-4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 9. Let v(z) = -2*z - 6. Calculate the remainder when c is divided by v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 - 26304*v**4 + 3766000*v**3 - 126281580*v**2 - 555136238*v - 425062356 = 0. Calculate v.\nAnswer: -13294, -3, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450 - 427. Suppose 0 = -u*q + 12*q + 132. Solve q = -2*p + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1453942 - 0.1.\nAnswer: -1453942.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 3*(-1 - (4 - 3)). Suppose -8*v + p*v = -21. What is the remainder when 60 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h - 14. Let o(q) = -7*q - 5. Give -4*f(y) + 11*o(y).\nAnswer: 7*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -89*p**2 + 1250*p - 28. Let g be m(14). Let b be (-1)\/((-3)\/(-9)) + 6. Let f be ((-56)\/(-6))\/(1\/b). Is f bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-42))\/((-12)\/28). Suppose -3 = -0*v - 3*v. Let g be (0 - -2)*v\/(-2). Which is the second biggest value? (a) g (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + v**5 + v**5 + 73*v**5 - 5*v**5 - 27*v**5 + (-6*v**4 + 2*v**4 + 3*v**4)*(-v - v + 0*v).\nAnswer: 45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*i + 25, i + 128*u + 2 = 123*u + 21 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 53157 + 73035. What are the prime factors of n?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37130 (base 8) to base 3\nAnswer: 210220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*y - 5207 = -n, -4*n = -3*y - 20792. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f + 0 - 1 + 17*f + (-107*f + 178*f - 103*f - 3)*(1 - 2 - 1).\nAnswer: 67*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 7*p**2 + p - 2. Let y be j(-6). Let a = -13 + y. What is the remainder when 26 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5319605 less than 223?\nAnswer: -5319382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.7 + -17. Which is the smallest value? (a) -0.2 (b) y (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146590679 + 146590513.999813. Let t = 165 + a. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22828524, -22828543, -22828574, -22828617?\nAnswer: -22828672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1925)\/(-50)*(-2)\/(-14))\/((-12)\/24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**5\/60 - a**4\/4 - a**3\/2 + a**2\/2 - 29*a. Let w(d) be the first derivative of v(d). What is w(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 380, 571, 764, 959, 1156, 1355?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -35cad?\nAnswer: 35ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l**3 + 5*l. Let j(o) = o**3 + o. Calculate -15*j(i) + 3*n(i).\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2635*c + 143. Let g(k) = -2636*k - 172. Give 5*g(j) + 6*i(j).\nAnswer: 2630*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 - 87 = -111*f - 76 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**5\/5 - 474*x**4\/5 - 1596*x**3\/5 + 15756*x**2\/5 + 6714*x - 9450 = 0.\nAnswer: -75, -7, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6531 is divided by 1088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(3\/5)*r))\/r*(r*r\/(((r\/(r*r**(-3\/7)*r))\/r)\/r*r))\/r)\/(r**(-5)\/r**(-2\/7)) assuming r is positive.\nAnswer: r**(199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668618243 - 668618243 - 45*s**2.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1000010100100100 (base 2) to base 14\nAnswer: c5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5*v - 285*q**3*v**3 + 134*q*v**3 - 9*q*v wrt q?\nAnswer: -40*q**3*v - 1710*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00224421735 to seven dps.\nAnswer: 0.0022442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4367724*a + 6464021 wrt a.\nAnswer: -4367724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176047 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*f - 32. Find the third derivative of 5*v**3 - f*v**2 - 2*v**3 + 14*v**2 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 72*b + 86*b**2 - 85*b**2 to the form j + i*b**2 + x*b and give x.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.3 + -31. Let z = s + -21.3. Let a = -21.00000061 - z. What is a rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548636800 rounded to the nearest 1000000?\nAnswer: 4549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855358968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 112*w - 4595. Let z be u(41). Which is the closest to -0.1? (a) 0.4 (b) z (c) -13 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (5 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40220 + 104.8\nAnswer: 40324.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let v be y(-11). Let l(a) = -a - 5. Let p be l(v). Factor -1\/2*w + 0*w**3 + p + 1\/2*w**5 - w**2 + w**4.\nAnswer: w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 + q - 9. Let b be y(9). Let r be b + 2 - (0 + 1). Suppose -4*g = -7 - r. What is the remainder when 2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3589342, -3, -12, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -854 divided by 1?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + 45*w**2 + 41*w - 19. Determine g(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22365 + -22368. Let o(n) = -n**2 + 9*n - 8. Let y be o(7). Let g be (2 - -1)\/(9\/12). Sort a, y, g in decreasing order.\nAnswer: y, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011449414?\nAnswer: 2, 29, 17438783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 + 3. Let j(r) = -3*r + 25. Let b be j(5). Suppose b*i + 8 - 38 = 0. Sort d, i, -2.\nAnswer: -2, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 z, and 1 i when four letters picked without replacement from {z: 5, i: 1, r: 1, p: 5}?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1.9, 8\/7, 3\/2, 34\/1361 in increasing order.\nAnswer: -3\/7, 34\/1361, 8\/7, 3\/2, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 5*i + 2. Let k be d(-2). Suppose -6*b = -k*b + 6. Is 880\/b + 5\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 383391582 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (730\/10)\/(-730)*38\/1.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 2. List the prime factors of d(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(272) - sqrt(17)) + (sqrt(17) + (-4*sqrt(153))\/sqrt(9))**2.\nAnswer: -13*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 3*f + 3. Let c be t(-4). Let g = 0.12 + -0.92. Sort g, 3, c in descending order.\nAnswer: 3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 12. Let m be a(-5). Suppose -2*l = -157 + m. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 2) + 16 - (1 + (-3 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*b = -37860, -2*g - b = -g + 9464. Let a be 2\/3 + 6316\/g. Let m = a - 4469\/4734. Find the common denominator of m and -41\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/234414 and 121\/11862.\nAnswer: 154478826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b. Let h = 265926136 + -530522625083\/1995. Let l = 155\/19 - h. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 247 = -2*l + 1209, -y = -4*l + 1929. Is (-6)\/(-9) + l\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c - 567*c + 229*c + 248*c.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(-5 + 6 + 26)*(-2 + 2 + x).\nAnswer: 81*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1096.5 and -583.89540101.\nAnswer: -1680.39540101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuz when three letters picked without replacement from {z: 2, m: 1, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 244. Let p = x + 88. What is the least common multiple of p and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 726, -1, 54131 in increasing order.\nAnswer: -1, 726, 54131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3192 by 8.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131488 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 3381.\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246921*p*w**2 + 2*w**2 - 28263*w + 3 with respect to p.\nAnswer: 246921*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19281 is divided by 860?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36187.2125 rounded to the nearest one hundred?\nAnswer: -36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 6. Give k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38340 divided by 426?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 53 + 60 = 4*f, 2*t - 106 = 5*f. Suppose -3*c - 5*g + 19 = -0*g, 3*g + t = 5*c. What is the greatest common divisor of 64 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 3, -23, -47, -69?\n\"Answer: c**2 - 31*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 21*g - 8*g - 88 = 0. Solve g*s + 3*o + 24 = o, -2*s - 8 = -o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 11*t**3 - 13*t**3.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*a - 1. Let c be 2\/(-4) - (-2042)\/a. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 12:22 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4327 divided by -837\nAnswer: -4327\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:30 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-1 + 4 + sqrt(108)))**2.\nAnswer: 660*sqrt(3) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*d + 102*d - 7*d**2 - 73*d as c*d**2 + j + y*d and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**2\/2 + 2*z + 3. Let q(n) = -n**3 + 6*n**2 - 2*n + 8. Let a be q(6). What is l(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -338*o**5 + 1323166*o**4 - 8839176*o**3 - 2813704*o**2 - 218848*o = 0. What is o?\nAnswer: -2\/13, 0, 7, 3908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10380.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:01 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 5*j)*(-45 + 12*j**3 + 45).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021925 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 i when three letters picked without replacement from {p: 1, g: 3, d: 2, i: 2, q: 1, j: 10}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 138*o**2 - 405*o + 602. What is u(66)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 8. Let j be l(9). Let p = -2\/6901 - 323663\/2360142. Let a = 1\/38 + p. Is j at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30 - 24) + (4*2)\/(-2). Suppose b*u - 261 = -u. What is the remainder when u is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00259592174 to 7 decimal places.\nAnswer: 0.0025959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09881004 to four decimal places.\nAnswer: -0.0988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 9738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 24 = -b - 4*b, -5*q - 3*b - 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193200?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190.000356 + 190. Round t to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a decade?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 126\/(-30) - 6\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31504 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:12 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/3 + 26218*s**3 + 515039084*s**2 - 58841313464*s\/3 - 86694032096 = 0. Calculate s.\nAnswer: -39346, -4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 2339760*r + 342154803600 = 0. Calculate r.\nAnswer: 292470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -52*v**2 - 6896*v - 41360. Calculate s(-6).\nAnswer: -1856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2 + 10*l - 1 + l**3 + 0*l**2 - 3 - 2*l**3. Let y be a(-13). What is the greatest common factor of y and 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/265 + -15398\/1855. Let m = -2\/393 - -4984\/1179. What is the common denominator of s and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.54 - 1.61. Suppose -b - 2*b - 32 = 2*h, 5*b - 2*h = -80. Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -413*s**3 - 34*s**3 - 59*s**3 + (1 + 1 + 0)*(-2*s**3 - 3*s**3 + 0*s**3).\nAnswer: -516*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let x(z) = z**3 + 5*z**2 - 8*z + 1. Let h be x(-6). Let s = -4 + h. Let r(a) = -a + 9 - s. Determine g(r(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - 9?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725 = -11360*l + 11389*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(8\/(816\/9)). Let x = -20 - a. Suppose -5*z - 4*b + 35 = 0, -5*z + 16 = 3*b - x. What is the highest common factor of z and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 - -0.9. Let o = n - -5.2. What is the fourth smallest value in 1, 0, -13, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -2\/13, -1400, 0.1, -1.\nAnswer: -1400, -5, -1, -2\/13, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -1) + 105967\/(-16). Let q = 6630 + n. Calculate the common denominator of q and 65\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 - 1. Let u(p) = -81*p**3 + p**2 - 2. Determine -u(d) + 2*x(d).\nAnswer: 79*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -17320.1 to the nearest 100.\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbb when three letters picked without replacement from wbhgfhbbffwgbwhfff.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12845*u - 16 = -12847*u - k, 5*k = 50 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 4. Let y = -191 + 221. Calculate the greatest common divisor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let k(u) = 2*u + 1. Suppose -3*p + 2 = -2*v, 2*p - 4*p = -4. Let m(a) = -6*a - 1 - 4*a + 9*a + 0. Give v*k(z) + y*m(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.467577 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.7976 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 539, 4, 3 in decreasing order.\nAnswer: 539, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - (-37 + (-17 - -55))) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -23 + -11 + 30 + (-2 - -6) - 18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*k = -416*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*n**2*o**2 - 2*n**2*o + 516*o**2 wrt n?\nAnswer: 140*n*o**2 - 4*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253924457?\nAnswer: 3, 417974819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 - 123. Suppose 92*y - 87*y = n. Solve -6 + 31 = -y*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 - 56 = 0. Let d = z + 20. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16836105 and 20?\nAnswer: 67344420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.26536 litres in millilitres?\nAnswer: 90265.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.213 - 1.007. Let w = -43 - f. Let d = w + -5.22. What is the biggest value in -3, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24705, -49440, -74175, -98910, -123645?\n\"Answer: -24735*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -4 (b) -0.026 (c) -3\/8 (d) 3\/50 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/132 + (-25 + 14)\/(-11)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t - 17. Give b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**4\/12 - 2*z**2. Let c(x) be the second derivative of -x**3\/6 + 7*x. Calculate k(c(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 3}. What is prob of sequence ao?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1. Let v(a) = 4*a - 27. Let s be v(6). Let q(h) = -h - 3. Determine s*d(k) + q(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 1 - (5 + 1 + -1 + -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56328651 divided by -3.\nAnswer: 18776217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 5. Let t(q) be the third derivative of q**5\/30 - q**2 + 566*q. What is t(s(l))?\nAnswer: 162*l**4 - 180*l**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1 = -m, -38*m - 6*w + 9 = -43*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -9, -4\/7, -4, 231?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*b = -75*b + 30. Calculate the common denominator of -83\/15 and (-164)\/6*(b - 1015\/(-168)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 619661 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656067 to the power of 1\/2, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/12 - (-43)\/(-26). Sort -0.2, -0.3, u in ascending order.\nAnswer: -0.3, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.34162 decades in months?\nAnswer: 1600.9944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(12 + -10). Solve t = 2*o - 0*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -88. Let t be (-10)\/(-2) - 6 - u. Let y = 18 + t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:13 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20002, -19875, -19530, -18859, -17754?\nAnswer: -16107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1, -0.04, 6, 108\/131?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(800\/96)\/25*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4800\/(-575))\/4 - -3*(-4)\/(-6)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (3 - (0 + 2)). Let c = z + 8. Suppose -8*d + 35 = -c*d - 5*y, -4*d + 3*y + 26 = 0. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6532362 by 6.\nAnswer: 1088727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5612486*w**2 + 794131*w wrt w.\nAnswer: 11224972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.745 and -5.\nAnswer: -3.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.72280117 and 3079.5.\nAnswer: 3078.77719883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-6*-1 - sqrt(99))\/(-3*sqrt(729)) + -1.\nAnswer: -1 - 5*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3467*j. Let d(l) = 2*l. What is d(w(z))?\nAnswer: 6934*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23c (base 14) to base 13.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141570617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**8\/168 - 23*y**7\/105 - 14*y**6\/5 - 32*y**5\/3 + 128*y**4\/3 - 332*y**2. Factor f(z).\nAnswer: -2*z*(z - 1)*(z + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/((-35)\/(-5))*-6\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -36 - (-1709 - -1677)) + (0 - (1 - 53))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 768 (base 12) in base 14?\nAnswer: 57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42519 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 7*w + 364 = 0. Let c = w - 50. Solve 0*x - c*k + 10 = -5*x, 2*x = 2*k - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*p = -0*z + 6, -15 = -3*z - 2*p. Suppose 0 = -z*u + 6*u. Calculate the remainder when 28 is divided by u*(-2)\/4 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 13*o**2 + 4*o + 1. Let d(p) = p**2 + p. Let q(u) = 4*d(u) + f(u). Let h be q(8). What is the closest to -0.1 in h, 3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59863145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4823964325 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 41*p + 37. Let r be i(-2). Let l be 23\/63 + 10\/r. Which is the biggest value? (a) -3 (b) l (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255\/88 - 36\/11. Which is the smallest value? (a) 2\/3 (b) -0.2 (c) 3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 35991409.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/12 - 35\/420)*22. Let s(f) be the third derivative of 0 + 0*f**4 - a*f**3 + 0*f - 11*f**2 + 1\/20*f**5. What is the first derivative of s(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -326, -332, -340, -350, -362, -376?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -7)\/(0 - -1). Let k(a) = -a + 2. Let f be k(t). Solve -6 = -y - f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-10) + (135720\/50)\/18 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5 + 1. Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 14*y**2\/5 + 32*y\/5 + 8\/5 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120160*s + 1170 = -560095*s - 560091*s for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2712 - -2715. Which is the nearest to -2\/9? (a) 1 (b) q (c) 2\/349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -17 + (-22)\/((-792)\/621). Which is the smallest value? (a) 0.118 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3113*l + 8640 = -2153*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 27 - 323 = 0. Solve 65*g - 61*g - 2 = 3*t, 0 = -5*t + c*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 + 3*k + 4. Let o = 24 - 18. What are the prime factors of j(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:42 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 619495, 1238993, 1858491, 2477989, 3097487, 3716985?\n\"Answer: 619498*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 - 4*y - 874. Calculate h(0).\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1)*(-5)\/(-10). Is (218 - a)*(-3)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3 + 93. Let h be (-130)\/n + (-4)\/18. Let b(r) = r. Calculate the remainder when 19 is divided by b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365705661?\nAnswer: 3, 121901887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 15*w + 2*d - 6 = 0, w - 52*d - 2 = -50*d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210211 - -10?\nAnswer: 210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z + 7. Let y be n(10). Let a = -77 + y. Solve -2*x + 5*x - 15 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48340459 - 2.\nAnswer: -48340461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68615, -274485, -617611, -1097999, -1715655, -2470585, -3362795?\n\"Answer: -u**3 - 68622*u**2 + 3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -633.8 and 0.1.\nAnswer: -63.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:52 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 3*b - 2. Let j be w(2). Suppose -7*u + 2*u = -20, 3*n - u - 5 = j. Solve -n*k - 12 = -6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1328\/475 + 2\/475. What is the second smallest value in 1.5, -3, j?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 95 + 102. Let l(c) = 2*c - 3*c + 12898*c**2 + 3 + c**3 - 12905*c**2. What is l(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 45 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**45*(o*(o**(-23)*o)\/o)\/(o\/o**(1\/5)) assuming o is positive.\nAnswer: o**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:35 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3 - 3)*(0 + 1 + 0)*(3 + 2 - 6).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-391)\/(-255) - (2 - 0)*(-4)\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-6))\/(-4) + (-42)\/63. Suppose 0 = -u*i + 4*i - 15628. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 7*y. Let p(v) = 2*v**2 + 3*v. Let c(a) = -5*p(a) + 2*s(a). Let t = -19 - -18. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15855 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5140.47 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 42 + 50 + 42 - 135 - 7*g. Let v(d) = d**2 + 5*d - 1. Let f be v(-5). Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5109201994 - 1508*m**2 - 5109201994.\nAnswer: -1508*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172396241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.2, 38, -2, -12.\nAnswer: -16, -12, -2, 0.2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3927518?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -43. Suppose -3*m - 28 = -4*q - y*m, 4*q - 4 = -3*m. What is the remainder when 35 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 258 = -72. Suppose 0 = 5*i - 2*i - t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121174 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/204 - (11\/6 + -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2a4 (base 11) to base 13\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*a + 4148 - 1700 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 19.\nAnswer: -117\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/24 and 49\/4424664?\nAnswer: 4424664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.75. Let a = 54.4098 - 54.4. Let y = 0.0098 - a. Sort i, 0.1, y.\nAnswer: i, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 320. Let d(i) = 5 - i + 4*i - 1 + i**2. Let k be d(-7). What is the greatest common factor of k and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-1\/4)*s)**(-38)*s**(-5)\/(s*s**(-2)*s))\/((s*s*s\/s**(-1\/4)*s**(-2\/9))\/(s**(1\/3))**14) assuming s is positive.\nAnswer: s**(-4567\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 11*s + 3*s - 13*s. Let v be 4\/(-14) - 9\/((-189)\/48). Let p(l) = -28*l**2 + 14*l**v + 13*l**2. Give p(u(i)).\nAnswer: -484*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*g = 51, 3*g - g - 13 = -3*h. Solve 3 = -2*i - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/112 - -3\/14. Let y = -1.8 - -2. Which is the second smallest value? (a) q (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3607 + 3608.5633. Round j to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 13. Let y(j) = -2*j**2 + j. Let g(c) = 7*c**2 - 4*c. Let n(r) = g(r) + 4*y(r). Give n(u(a)).\nAnswer: -81*a**2 + 234*a - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -12415.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = -u + 1, 2*u = 10. Let x be (k + -12)\/(409\/2). Does x = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 101*g.\nAnswer: -g*(g - 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13789 + 13868. What is the remainder when 1643 is divided by g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/3052)\/((-3)\/(912\/190)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + o + 0*o + (-o + 4*o + 3*o)*(-6 - 2 + 2) + 3*o - 3*o - 2*o in the form a + b*o and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202.32 or 2\/1009?\nAnswer: -202.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -487*c**2 + 4*c - 3. Let r be f(2). Let m = 846 + r. Let s = 2080 + m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*s**3 - 1973*l**2*s**2 - 509*l**2 - 36278510*l*s + 2*s**3 wrt l?\nAnswer: -4*s**3 - 3946*s**2 - 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*(187\/136*-4)\/((-22)\/4).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413161 is divided by 136.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-6 - -1) + -1 + (33 - 22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 + -465 - (-6 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 2*k - 2. Let n(x) = -3*x**2 - 2*x - 2. Suppose 3*i = -2*p + 18, -5*i + 0*p = -3*p - 30. Suppose i = -8*y + 6*y. What is y*d(o) + 4*n(o)?\nAnswer: -3*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447075543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 19. What are the prime factors of -1 - -2 - (-8 + q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -278087, -278090, -278095, -278102, -278111, -278122?\n\"Answer: -d**2 - 278086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -5. Let d = u + 7. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.3, -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-4 - 8 - 8)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -56*u**2 + 18*u + 46. Let k be a(-9). Let b = k - -6629. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48e + 2?\nAnswer: -48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1050756ml to litres.\nAnswer: 0.0001050756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let f(a) = -230*a**2. Determine f(i(p)).\nAnswer: -920*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 6:44 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 15985449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.3, -2\/3, 0.2, -0.029, -3.\nAnswer: -3, -2\/3, -0.029, 0.2, 0.3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -371603 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4154677 to the nearest integer?\nAnswer: 2038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**3 + 33*i**2 - 142*i + 38035?\nAnswer: 9*i**2 + 66*i - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58358*u**4 - 1517*u**2 + 20*u wrt u?\nAnswer: 1400592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/360 + 7*d**5\/120 - d**4\/3 + 61*d**3\/2 - 145*d**2. Let i(n) be the first derivative of s(n). What is z in i(z) = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -16, -7.19, -1\/6, -0.25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1757 + 1754. Which is the nearest to 0? (a) 7 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-234)\/(-28))\/((-354)\/413) - (-14 + 5). Let q = 1459\/42 + -209\/6. Put 0.2, -2\/5, q, r in descending order.\nAnswer: 0.2, q, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/(-52)*(1 + -41). Let t = q - -380. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 0, 7, 6 in descending order.\nAnswer: 7, 6, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1957986*m**2 - 3035507*m?\nAnswer: -3915972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-272) + (-3)\/6 + (-38)\/(-26)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let d(j) = -178*j**2 - 5*j. Let w(l) = -177*l**2 - 4*l. Let h(q) = 4*d(q) - 5*w(q). Give h(s(r)).\nAnswer: 173*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 231 - 0?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 412, 811, 1212, 1615, 2020, 2427?\n\"Answer: j**2 + 396*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -12*t - 57 - 3 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 38.023. Put 2\/5, q, 1 in ascending order.\nAnswer: q, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.286 and -0.3.\nAnswer: 4.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918765?\nAnswer: 5, 383753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 277a (base 14) to base 16\nAnswer: 1b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904 and 68616?\nAnswer: 8302536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -137. Let a = -91 - p. Calculate the greatest common factor of a and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -1377*v**4\/4 - 2577*v - 3650. What is the derivative of f(c) wrt c?\nAnswer: -4131*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1e2358b?\nAnswer: 1e2358b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 2, n: 10, u: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -31.076377\nAnswer: 30.976377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41765, 89417, 168837, 280025, 422981, 597705?\nAnswer: 804197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*-44 - 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20*f**3 + 4*f. Let o be k(-3). Suppose 3*i - o = -i + 2*v, 2*v = 0. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 73471 and 20395 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 2. Let y(f) = -f - 14. Let w(g) = 6*a(g) + y(g). Let z(v) = -2*v + 1. What is -3*w(h) - 8*z(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, -5\/3719, 5 in ascending order.\nAnswer: -5\/3719, 2\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 9129 (b) 4 (c) 2\/11 (d) 3 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 (base 7) in base 3?\nAnswer: 122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5688 a factor of 482262768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 + (-1 - 1 + 0)*(0 + 1 + 1) - 13 - 11 + 8)*(2*q + 0*q - q + (0 - 1 - 1)*(-4*q + q + q)).\nAnswer: -105*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100111100011011 + 11100?\nAnswer: -1110100111011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, 113, 3, -1\/4, 3\/31?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - 8*t**2 - 8*t - 11. Let a(y) = 11*y**3 + 23*y**2 + 23*y + 32. What is 6*a(d) + 17*c(d)?\nAnswer: -2*d**3 + 2*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 16360*j**2 + 325380*j + 585360.\nAnswer: 5*(j + 2)*(j + 18)*(j + 3252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a + a. Let j be 0\/((-3)\/(-3)) - 0. Solve j = -m + 5*x, 0*x + 22 = -a*m + 3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13719\/940 + 505\/47. What is the common denominator of 5*1*1\/(-14) and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38745352*j**3 + 819027*j**2 + 1 wrt j.\nAnswer: -232472112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*((1 - 1 - 2)*(0 - 2 + 0) - 1 - 1 + 0)*(0*p**5 - 4*p**5 + 6*p**5).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 6*u**2 + 6*u. Suppose -4*b + 31 = 23. Let k be (0 - (6 - 5))\/(b\/14). Let g be d(k). Solve 0 = -5*p - f + 2, -2*p + 4*f - 1 - g = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/20)\/(3\/4935). Let a = q + -544. Suppose -4*m + 0*m + 12 = 0, m = 5*v - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gtgtggtg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15440 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -724*(-5 + 54\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 907029, 907012, 906979, 906930, 906865, 906784?\n\"Answer: -8*u**2 + 7*u + 907030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 118*u**2 - u - 1. Is m(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3804526050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.5, -66.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.5619.\nAnswer: -0.16857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/8)\/(6\/(-24)). Let y = -64 + 110. Let c = y + r. What is the remainder when c is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 5. Let f be y(-5). Let z be 1\/(-3) + f\/(-15). Let b be 3\/(-6) + 9\/2. Solve 2*i = u + 14 - 7, -b*u = 2*i - z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 25. Suppose -27 = -2*o + 3*h, 2*h - 4*h = -o + 13. Suppose -12*x = -o*x. Give r(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -12. Let a = -10388 - -10479. Calculate the highest common divisor of d and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 4. Let r be n(0). Suppose r*m - 2*v + 12 = -5*v, 5*v = m + 3. Let p be (4\/(-2) - m)\/(6\/12). Solve -10 = -p*j - 0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -4.904\nAnswer: 0.4904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448) - (sqrt(17) - (sqrt(17)*-1 + sqrt(17))*1))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(8\/(-40) - 0)*14015?\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1 + 1 - 5*w**2 + 43067*w - 43070*w + 0*w**2. Calculate m(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*q - 44, -n = -0*q - 3*q - 9. Let m = 13 + n. Suppose 4 = -h + m. Solve -o - h*g = -10, 4*o - 2*g + 51 = 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1296 - -2352. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 87. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 + 464*z**2 - 27370*z + 52900 = 0.\nAnswer: 2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 733278 and 819?\nAnswer: 2199834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 67*r. Let i(m) = -94*m + 44*m + 47*m. Calculate k(i(g)).\nAnswer: -201*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13*-2)\/(-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*s + 0 = -6, 4*l = -s - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 5*j + 14*j**3 + j + 4*j**2 - 13*j**3 in the form w*j + n*j**2 + v + g*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -16)*1\/(-3). Solve -h + 2*h = -a*b + 19, -b + 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 20002002021012?\nAnswer: 20002002020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/14 - 10\/(-35). Suppose 0 = -j*u + 65 + 55. Let i(b) = -b**2 + 10*b - 1. Let y be i(5). Calculate the highest common divisor of y and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 = 4. Let w be (-8)\/(b\/(-1) - 1). Suppose -w + 23 = v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8350817 - -0.3\nAnswer: -8350816.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 2, w: 1}. What is prob of sequence tst?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4606265007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 20*o - 1. Let u(g) = -g - 1. Let s(t) = -f(t) + 6*u(t). What are the prime factors of s(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/65826 and -49\/690?\nAnswer: 329130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 548 = -48 - 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 + (-80)\/(-24))*7899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*c = 56, 5*p - 70 = 3*c - 0*c. Let g = -14 + p. Find the third derivative of g*y**6 - 12*y**2 + 6*y**6 - y**6 wrt y.\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 176, 186, 210, 254, 324?\n\"Answer: m**3 + m**2 + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-192)\/(-120). Suppose 3*v = -y*v + 175. What is the first derivative of -697*g + 697*g + v*g**2 - 12 wrt g?\nAnswer: 70*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d*j**2 - 9*d*j + 1413189*d - 11*j**2 + 27*j wrt j.\nAnswer: 34*d*j - 9*d - 22*j + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyrbryrryryyryyyr. Give prob of sequence yr.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 8565440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e013 (base 15) in base 16?\nAnswer: 309e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -55 (b) -4 (c) 2\/5 (d) 0.44 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5593 + 3*b**2 - 5593 - 7*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let y = -1 + s. Which is greater: y or 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29644940 and 17290?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/120 - 5*r**3\/6 - r**2 + r. Let j(s) be the first derivative of t(s). Give j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 - 11 + 53*f**3 - 23 - 3 + 6 - 2*f**4 wrt f.\nAnswer: -8*f**3 + 159*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - t = -6, 0 = 4*z - 3*z - 5*t. Suppose -5*i = -i - 8. Let k(b) = -i - 2 - z*b + 4. Let l(j) = -2*j. Calculate l(k(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6425 is divided by 6306.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 212711 or 212690?\nAnswer: 212711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 1029 + 832 - 3*h - 1704 as i*h**2 + x + t*h and give x.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 2 + (-740010)\/(-5). Suppose -s = -2*l - 2*l. What is l rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:35 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153174, 153176, 153178, 153180?\nAnswer: 153182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/110*11*-5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36762 + -9558203\/260. Find the common denominator of o and -3\/44.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5714200 to the nearest integer?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {y: 1, w: 1, a: 3, q: 2, r: 2, k: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - 214587 + 214479 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g**2)*(-965*g - 760*g + 188*g + 1).\nAnswer: 3074*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, v: 4}. What is prob of picking 4 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -4*s + 5*t, 5*t - 80 = -12*s + 22*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let n(m) = m + 7. Let b be n(-6). Let g(i) = 3 - 6*i + 4*i + b - 4*i + i**2. Give g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let l be 2*1*i*-1. Let t(y) = -6*y**2 + 10*y + 17. Let g(n) = 5*n**2 - 9*n - 15. Let b(z) = 5*g(z) + 4*t(z). What is b(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4570047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1160*q**3 + 1254?\nAnswer: 3480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/11 + 25\/77. Let t = -473\/1729 - 3\/247. Which is the second biggest value? (a) 2 (b) 4 (c) t (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 5720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let l = 0.05159 + -12.00859. Let m = 174 - 162. Let q = l + m. Round q to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 17*p, 92*b - 33 = 89*b + 6*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 709992 - 709992 - i**3. Let u(h) = 2 - 3 - 7*h**3 + 2. Calculate -u(r) + 6*z(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsbwwsvwhvfvbbwssvvv. What is prob of sequence vsff?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748.1 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565955 and 12298?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5904 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -228.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26579666 is divided by 2743.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/(l*l**5)))\/l*l*l**(-1\/8))\/(l**(-1\/3)\/(l*l**(-8))))**(-1\/71))**(-19) assuming l is positive.\nAnswer: l**(-361\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53510 + 62285. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797261879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:44 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f + 30. What is the remainder when (-2)\/4 - 153\/f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 3*y - 45. Let q = -3 + y. Find the second derivative of -4*c + 2*c**4 + q*c + c wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -17. Let t = 0.04 - -10.96. Let u = l - t. Which is bigger: u or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 9. Let r(z) = z - 1. Determine l(k) + 5*r(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 183*x**2 - 551*x - 5. Calculate l(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2542029 and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121230 = -28*g + 1786478 + 1826288. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -5. Suppose 0*n - n = 0. Let s(v) = -2*v - 1 + n - 1. Let m(w) = -w - 1. Calculate x*m(y) - 6*s(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10820)\/30*((-3)\/6 + -1). Is f + 2 + -17 + 15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g - 7. Let u be b(5). Suppose -4*f - 4*x = 16, 4*f - x = -3*x - 16. Put 5, u, f in decreasing order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 9:05 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*g**2 + 9*g**2 - 4*g**2)*(0*g + g - 7*g) + 7*g**3 - 7*g + 7*g)*(-2*g**2 + 5*g**2 - g**2).\nAnswer: -154*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -2, -10\/9, -0.3 in increasing order.\nAnswer: -2, -10\/9, -0.3, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234.53 - 227.4. Sort s, 0, 0.5 in increasing order.\nAnswer: 0, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 45*w + 8. Let u(m) = 13*m**2 - 10*m - 40. Let o(g) = -4*g**2 + 3*g + 12. Let y(r) = -10*o(r) - 3*u(r). Determine z(y(d)).\nAnswer: 45*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1295, -1284, -1273, -1262?\n\"Answer: 11*s - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgllglgltltgtlltt. Give prob of picking 3 l.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2 + 0 - 0). Suppose g = -4*i + 3 + 9. What is the first derivative of 0*b**4 - 4 - 2*b**4 - 12*b**3 + 12*b**i wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/7, -2\/51, -0.3, 3, 1 in increasing order.\nAnswer: -0.3, -2\/51, 0.3, 4\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 91*c - 8. Let y(x) = -8*x**2 + 90*x + 10. Let r(p) = 3*i(p) + 4*y(p). Let n be r(11). Solve o = 2*o - 2*s - n, -4*o + s = 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130887, 130518, 130149?\nAnswer: 129780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 5*j**3\/9 + 260*j**2\/3 + 340*j - 5141. Determine z, given that u(z) = 0.\nAnswer: -102, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-12)\/8*(-10)\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 3\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580, -1192, -2964, -4736?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-84)*-6)\/2. Suppose 3*r + 2*r + 35 = 0. Let n(d) = d**2 + 6*d - 6. Let j be n(r). Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*f + 151*f + 604 + 606 - 309*f - 1210.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-760)\/1045*(-22)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-12) assuming d is positive.\nAnswer: d**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = -19. Suppose -2*f + 8 = 0, -r + s*r - 61 = -4*f. Suppose 4*g + 4 = -4*b, -4*b - 3*g = 4 - 5. Solve 2*m = -m - 2*o + 9, 3*m + r = b*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -351800 and 596523.1?\nAnswer: 948323.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -335401?\nAnswer: 335404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 6. Let l be g(6). Suppose -l*j + 5*j = -22. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2 + (-2014)\/530.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -3*h**3\/2 + 19*h. Let a(z) = 5*z. Calculate 11*a(l) + 6*w(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -10*v**3\/3 + 9*v**2\/2 - 13*v. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30694023 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.8*42.\nAnswer: -1083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1155488.01 + 347.99. Let s = -1155846.99998 + h. Let r = -11 - s. Round r to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9957900 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-140)*(-1*(-4)\/(-8) - 3)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418739177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1903242 (base 12) to base 10.\nAnswer: -5230994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(32) + -3 + -4)**2.\nAnswer: -70*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 18*x + 210. Determine w(-27).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5) + (-5 - -6) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 684*i**2 + 5*i - 35. Let w(h) = 5130*h**2 + 38*h - 266. Let f(u) = 5*w(u) - 38*z(u). Let r(p) = -2*p**2. What is r(f(n))?\nAnswer: -233928*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*v - 78, 19 = 2*j + 4*v - 25. Suppose 46 = 7*a + j. Solve 4*s = -3*o + 10, -a*o + 11 = -0*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31269)\/(-8934)*(-2)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l - 1. Let t = -668 + 658. Let a(w) = 6*w**2 + 5*w + 2. Give t*u(x) - 2*a(x).\nAnswer: -2*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from bvdkf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiii when four letters picked without replacement from {k: 4, g: 2, i: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 182*u**2 - 17*u + 8. Let o(z) = -60*z**2 + 6*z - 3. Calculate -17*o(g) - 6*q(g).\nAnswer: -72*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 + 303. Calculate the remainder when (4 - 15 - -12) + (-40)\/(-1) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxe when four letters picked without replacement from {x: 16, e: 4}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/7)\/3)\/(68\/(-238)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 114*r**2 - r + 1. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 511841 divided by 589\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.394, -2, -1\/2, -134, 2?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 1. Let l be a(1). Suppose -2*b - l = -0*b. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-610)\/250*-5)\/(2\/10). What is the highest common factor of 1647 and m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.2 (c) 0.4 (d) -3\/4 (e) -226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22071 - -65?\nAnswer: -22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569795.\nAnswer: 5, 193, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -740944?\nAnswer: 740944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*u**5 + 90*j*u**3 + 7*j*u**2 - 31*j*u - 3*u**5 - u wrt u.\nAnswer: -180*j*u**2 + 540*j - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -2*k - 6, 3*w = 5*k + 22. Let h = w - 9. Suppose -4*l = l + 2*t - 9, h = -2*t + 4. Do 1 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 7, -8, -3.862, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*u - 117*u = 238. Suppose -10 = -4*w - w. Let y be u*w\/56*-6. Which is the nearest to -0.5? (a) y (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*(826*h + 450 - 450) as g*h + f and give g.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**5*c*c**0)**(-13)\/((c**0)**(1\/5)*c*c**(1\/2)*c*c**(-6)) assuming c is positive.\nAnswer: c**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 - 55. Suppose 6*j - 2*j - 46 = y, -4*j = 2*y - g. Solve 4*i - 3 = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1950 + -1856. Calculate the highest common factor of 6 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose 0 = 2*d + 5*t - 21, -b*d + 12 = -0*t - t. Let p(m) = m + 5. Let w be p(0). Solve -2*k = d*k + w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -2 + 2\/3*q**3 + q**2 - 4*q. Suppose v(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112216050 a multiple of 1515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - 2. Calculate the remainder when (-12 + 2)\/(12\/(-6)) is divided by n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 6*i - 2*i + 13*i in the form o*i + q and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**2 + 8 + 14*w + w**3 - 4*w**2 - 8*w. Let u be ((-8)\/10)\/(4\/30). What is the units digit of m(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427.2 + 58.8. Let i = d - 485. What is the fourth biggest value in -2\/7, i, 3.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 52*l - 14 = 0. Let u be (-12)\/(-14)*l\/(-2). Solve u*i - v + 2 = v, 4*i + v + 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 10, x: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 6. Let x be d(-1). Let q = 3 - -1. Solve 3 = -3*v - 0*v, 0 = -q*g + x*v + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -61 (b) 3 (c) 0 (d) -84 (e) 0.4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 smaller than 3029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 27242*h - 136130. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*y**4 - 14*y**4 + 55*y**4)*(-y + 0*y - y) + (3*y**2 - 3*y**2 - y**4)*(-3*y + 2*y - y) + 20*y**3 - 8*y**5 - 20*y**3.\nAnswer: -36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.6 + -101.8. Let k = q + 67. Let l be (16\/(-6) - -2)\/(-2). Are l and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9782380?\nAnswer: 2, 5, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - -1104804758\nAnswer: 1104804757.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1763163 to the nearest 1000.\nAnswer: 1763000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2858 (base 13) to base 12\nAnswer: 344b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11803 + 57?\nAnswer: -11735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 minus -74189?\nAnswer: 74189.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -326*z + 4243. Let b be m(13). Let g(v) = -v**2 - 4*v + 5. Let y be g(-4). Solve -3*d + 2*d = -f - 1, b*f + y = 2*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.179, -747141, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-7) - ((-240)\/(-70) + -3). Let f(k) = k + 3. What is f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 108. Calculate the remainder when k is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 - 93*m)*(5 + 10*m**2 - 5)*(0*m**2 - m**2 + 4*m**2).\nAnswer: -2790*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:50 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259.3811 and -22.\nAnswer: -5706.3842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 10. Let d = -4 - 6. Let q be (-1 + -1)*(-7 - d). Let y be o(q). Solve l - y*g - 17 = -2*l, 16 = 4*l - 2*g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351649 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -587 - -588. Which is bigger: c or -3\/82?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8) + 0 - 27\/(-120)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -0.1086?\nAnswer: 0.3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24809436 is divided by 10147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose 3 = 3*k - 2*i - i, 5*k + 3 = -z*i. Solve r - p + 8 = k, -21 = -3*p - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*(20\/(-8))\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*j = 2, q + 6 = 2*q + j. Suppose -o = u - q*u - 10, 2*u + 5*o = 16. What is the second biggest value in u, 1\/6, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 r when three letters picked without replacement from rzlxxfefxxxf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 50. Let x(l) be the third derivative of -1\/60*l**4 + 2*l**h - 1\/150*l**5 + 2\/15*l**3 + 0 + 0*l. Solve x(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42700 + -476?\nAnswer: -43276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26356 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89517832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 166*f**2 - 665*f - 271. Does 31 divide i(170)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 13*h + 20 = 0. Let z be 15\/(h + (-103)\/(-25)). Suppose -3*m = a - 129 - z, -5*m + 414 = -3*a. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -996 - -1192. What is the highest common factor of 238 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*2 - sqrt(32))**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/9*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -508846 - -0.17612\nAnswer: -508845.82388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**2*z**3 - 3*l**2*z**2 + 3*l*z**4 + 48424*l*z**2 - 9749*z**4 - 15*z**2 wrt z?\nAnswer: 72*l**2 + 72*l*z - 233976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w = 15. Suppose 0 = 5*o - x - 186, w*o + x - 108 = -2*x. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4\/3 - 10255*n**3\/3 - 61375*n**2\/3 - 51125*n\/3 = 0.\nAnswer: -2045, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23389 - 210499\/9. Which is smaller: -1078 or z?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*r + 2928 = -261*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303\/43 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20840, -83356, -187550, -333422, -520972, -750200, -1021106?\nAnswer: -1333690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085778 = -13*l + 100378. Round l to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/125 + 2121\/500. Is -4 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from kydbkdwdybddbwwd?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 - 1 - (-37 - -22)) + 504054*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 5*f**2 + f**2 + (5*f - 2*f + f)*(-f + 3*f - 4*f) - 4*f + 2*f - 4*f**2 - 2 + 1 to the form v*f**2 + i*f + l and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -972\/41 in -9, 0.4, -1\/6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3496 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3976*v**2 + 1995*v**2 + 30 + 1982*v**2.\nAnswer: v**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30793992349 and -0.029.\nAnswer: 30793992348.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1272 divided by -53\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*u - 288, 66 = 3*a - 5*u - 150. Let o = 109 - a. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*y + 270*y - 701*y + 256*y.\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*-3*sqrt(153)*-4)**2.\nAnswer: 19828800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5 + 4. Suppose -5*s = -4*o - 17 - 15, 0 = -s - 3*o - 5. Let y be (3 + (2 - (s + 0)))*3. Put y, 1, z in increasing order.\nAnswer: z, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**5 - 27185*p**3 + 39890879*p**2 wrt p?\nAnswer: 240*p**2 - 163110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32271 + -2.845.\nAnswer: 32268.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 719441496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.843981 to 3 decimal places.\nAnswer: -0.844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.7575 + -4.7575. Let z be 1 + (-1 + -10)*-2. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(-2\/15)*v)\/v))\/(v**(-1\/5)\/v))**(8\/9) assuming v is positive.\nAnswer: v**(80\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 35.000311. What is n rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*d - 106*d - 246876 = 0. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8 less than -16?\nAnswer: -35.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n**3 + 4*n**2 + 4*n - 11. Let a(x) be the first derivative of 3*x**4 + 5*x**3\/3 + 5*x**2\/2 - 12*x - 6259. Give 4*a(z) - 5*j(z).\nAnswer: -7*z**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:47 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019019 to seven dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*((-6 + 4 + 4)*(-1 - 2 + 4) - 1 + 38 - 2).\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 293*w**2 + 7*w - 1. Let q(x) = -x**3 - 18*x**2 - 47*x - 24. Let c be q(-15). Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(76\/57)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (-1*sqrt(108)*6 + sqrt(108))) + sqrt(108) + 0 + 5 + 4.\nAnswer: 9 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5223033233?\nAnswer: 11, 17, 31, 59, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/2)\/(-2 + 0). Suppose -d - 4*a = 4, 6*a = 3*d + f*a - 4. Let q = d + 5. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/t)**(1\/9)\/(t**17*(t\/(t**(-2\/11)\/t*t))\/t) assuming t is positive.\nAnswer: t**(-2857\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4393487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -524*d**5*m**3 + 31*d**2*m + 11*d*m**3 - d*m**2 wrt d.\nAnswer: -31440*d**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1b2?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32909, 65819, 98729, 131639, 164549?\nAnswer: 197459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 29 = -5*t, t + 2 = -4*q - 0. Let u = t - -8. Find the third derivative of 58 + u*l**5 - 58 - 3*l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18351\/21376 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 14*h + 33*h.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3\/7, -0.3, 4, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4528)\/174 + 5584\/242904.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(3*s - 2*s + 0*s)*(-22 + 4 + 0 - 35).\nAnswer: 424*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028366 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 1856*v - 99858.\nAnswer: 2*(v - 979)*(v + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 - 3804*k\/5 + 1205868\/5.\nAnswer: 3*(k - 634)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -25*u**3 + 20*u**2 - 3*u - 12. Let h(q) = -7*q**3 + q**2 + q - 2. Let x(m) = c(m) - 3*h(m). Let f(b) = -b**3 + b**2 - b - 1. What is -6*f(d) + x(d)?\nAnswer: 2*d**3 + 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.3. Let v = s + 0.4. Let x = -1.9 + 2. Which is the third biggest value? (a) -2\/5 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 68920?\nAnswer: 551360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g**3\/5 + 557*g**2\/5 - 1517*g\/5 + 78 = 0.\nAnswer: -13, 15\/52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*f - 9. Put f, 0, -1 in decreasing order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)*j*j*j**5)\/(j\/((j\/(j**1\/j))\/j))**39 assuming j is positive.\nAnswer: j**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btl when three letters picked without replacement from eeeleleeeltbeleelee.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1. Let s be v(-4). Solve -4*a = -s - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1176980 and -72\/294245?\nAnswer: 1176980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 40*y**2 + 47*y + 110. Let q be u(-21). Suppose 5*j + 2*h = 17, 5*h + 40 = -15*j + 19*j. Solve q = -j*l - 5, 3*l - 3 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - -91) + (0 - 2 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3005266501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2466 and -22\/59001.\nAnswer: 48498822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4421748 + 13?\nAnswer: -4421735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82696574*w**2 + 2*w**3 + 82696574*w**2 + 28 - 11*w.\nAnswer: 2*w**3 - 11*w + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -d + 620, -626 = -d - 3*q + 7*q. Suppose -73*s = -71*s - d. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from {o: 9, r: 7}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/3 - 538336*w**4\/3 + 36221937404*w**3\/3 + 507229333184*w**2\/3 - 1123122325246*w\/3 + 579671592992\/3 = 0. What is w?\nAnswer: -16, 1, 134591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 33*n + 82. What is r(15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by (1156\/(-32) - -36) + 7\/(-16)*-62.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let g be 78\/(-120) - (-7)\/28. What is the biggest value in a, -2\/7, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/3, -7\/4, -2\/15, -0.5, 0.13, -1\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 + 0 + (-583)\/53 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30092195.3 to the nearest one hundred thousand.\nAnswer: 30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124\/20 - 1\/5. Let f(k) = -k**2 + 3*k + 8. Let n be f(h). Let i = n - -14. What is the greatest common divisor of i and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 38099600?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -25*(-117)\/975*(-46)\/(-12). Let f(v) be the first derivative of -30 + 14*v - o*v**2. Find the first derivative of f(w) wrt w.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35421 + -35305. Let k(f) = -73*f - 2. Let i be k(-4). Calculate the highest common divisor of j and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + b + 11*b)*(6*b - b + 0*b + (1 - 1 + 1)*(b - 4*b + b)) + 20*b + 2*b**2 + 0*b**2 - 25*b)*(-2*b**2 + 2*b**2 - b**2).\nAnswer: -38*b**4 + 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**2 + 7*j - 1. Let k(z) = -5*z**2 + 4*z. What is -3*i(f) + 5*k(f)?\nAnswer: -f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -234 - 74. Let x = f - -625. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5745*v + 2876*v - 231*v**2 + 2869*v.\nAnswer: -231*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 + 141.4.\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -8879798138.4?\nAnswer: 8879798137.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006277409 rounded to seven decimal places?\nAnswer: 0.0000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**3 - 4*d. Let h(w) = -19*w**3 - 3*w. What is -3*b(r) + 4*h(r)?\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l. Let m(i) = i - i + 2*i + 0*i. Give d(m(t)).\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2893319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:09 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 2 u when four letters picked without replacement from rrrennruum?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 9*s**2 + 12*s - 15. Let v be k(10). Let n = -7 + v. What is the common denominator of -29\/36 and n + 0 - (-924)\/(-144)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (0 + -2 - -3). Solve -4*s + 6*l = 5*l - 5, 0 = -3*l - o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tttttttuttttu?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2)*(3 - 1 + 1) + 1 + 3 - 6 - 409 - 32 - 489 + 187 - 119)*(2*s - 1 + 1) to y + a*s and give a.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*z = 0, z + 20 = 3*m + 6. Let f(i) = -5*i**2 - 4*i + 5. Let r(g) = -6*g**2 - 5*g + 6. What is m*r(n) - 5*f(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7336*u - 7. Let q(w) = -w**2. Calculate q(o(z)).\nAnswer: -53816896*z**2 + 102704*z - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 105?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.4 and 91892.\nAnswer: 771892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -505. Let o = -110 - q. What are the prime factors of o?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 727?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 33. Suppose 33 = 5*s - 4*l - 17, -2*s + 37 = -5*l. What is w(s)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-28)\/(-35) - 14\/5). Let l be 4\/o - (1 - 32\/3). Suppose -5*z = -l*z + 12. Solve -4*i = 4*r + r - 5, -2*r + 2 = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*l + 6, -17*l + 22*l - 4*g = 18. Suppose -17*m + l*x + 12 = -15*m, 5*m - 6 = -3*x. Sort 2, m, 19, 5 in descending order.\nAnswer: 19, 5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 7*d**2 + 4*d + 9. What is the units digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/238 and -23\/20?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 3*f + 1, 66*t = 67*t - 2*f - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 7*q - 14*q + (-q + 1 - 1)*(2 + 0 + 1).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 - 97962080*u\/3 + 599785569870400\/3.\nAnswer: 4*(u - 12245260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100000 (base 2) to base 12.\nAnswer: 1aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 14) to base 4\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99075312 by 4.\nAnswer: -24768828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 807230 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 106.00000675. What is l rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14663 and 3703074.\nAnswer: 40733814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(147) - sqrt(147)) + 2*sqrt(147)*-5 - ((sqrt(15) - sqrt(105)\/sqrt(7)*-2 - sqrt(15)) + sqrt(15))\/(sqrt(45)\/(sqrt(9) + sqrt(324))))**2.\nAnswer: 71148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -273*w**2 + 272*w**2 + 5*w + 21*w - 26. Let y be n(21). What are the prime factors of (-8)\/28 + y\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(2\/(-5))\/(9\/(3344850\/(-20)))?\nAnswer: 3, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1\/510*b**5 + 0 + 1\/17*b**3 + 0*b + 35*b**2 - 1\/51*b**4. Factor x(q).\nAnswer: 2*(q - 3)*(q - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 42*g + 88. Let x(d) = -d + 1. Let n(y) = p(y) - 4*x(y). Factor n(t).\nAnswer: 2*(t + 2)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 95 = 2*u - 4*u, 19 = -h - 3*u for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-24)*130\/(-455) + (-3 - 104\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 229029*p**2 + 229029*p**2.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 322*n. Let s(f) = 363 - 3*f + f - 363. Give s(l(x)).\nAnswer: -644*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238098 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/(y*y*(((y\/y**(-19))\/y)\/y)\/y*y))*y))**(-1\/28) assuming y is positive.\nAnswer: y**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6983062t?\nAnswer: 698306200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 - 4582170*t + 1749690159075 = 0.\nAnswer: 763695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*-0.03.\nAnswer: -0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 36707*a**4 - 57*a**2 - 18444. Let o(d) = -6118*d**4 + 9*d**2 + 3074. Let l(m) = 3*h(m) + 19*o(m). Differentiate l(y) wrt y.\nAnswer: -24484*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 18. Let o(u) = -8*u - 2 - 5*u + 3 + 14*u. Let h(l) = -m(l) + 3*o(l). What is the derivative of h(f) wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05657 and 0.12?\nAnswer: 0.06343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 2 + 2 + (1 + 3 - 2)*(f + 2 - 2) + 8 - 20*f - 8.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*f + 2308, -3*f + 4*y = 7*y - 1734. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - t + 16 = 0, 0 = 27*h + 167*t - 166*t + 8 - 116 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1*(-185 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5743 is divided by 5741.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 899\/5 + -179. Find i, given that 4\/5 + 1\/5*i**2 - q*i = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 9. Let q be h(-6). Suppose -t = -6*t + q. Solve 5*y + 2*d + 15 = 7*d, 0 = t*y - 4*d + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309.4 - 309.400007475. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 49676\/(-660)) + 24\/(-90)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -2*o + 24, -2*p + 4*o = -46 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/154 + 13\/22. What is the common denominator of u and -99\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 787618*y. Let x(o) = -11*o**2. Determine p(x(n)).\nAnswer: -8663798*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*x + 68, -4*x = s - 0*s - 32. What is the second derivative of 2*u + 11*u**4 + s*u - 23*u**4 wrt u?\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/11 + 112*n**2\/11 - 160*n - 11264 = 0.\nAnswer: -44, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((5 - 12) + (12 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h + 5*k - 9, 0 = -2*h + 3*k + 8. Suppose -6*s = -s - h. Suppose 2*a = 7*a - 15. Solve 0 = -u + s*u + a, -3*j - 6 = 3*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = a - 17, 0*a + 2*g + 136 = 3*a. Let v = 17 - a. Is v >= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-812)\/58 - (-7 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -3 (c) 1792\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1315611?\nAnswer: 1315616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 77 = 3*y, y = -h + 2*y + 15. Let n = 18 - 25. Let x be -2*(-3)\/(-6) - n. Solve 2*j + h = x*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38700 + 20552 = 488*x - 1767*x + 14487 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19479 or -19365?\nAnswer: -19365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/178*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 1 = 25. Solve -12 = 2*n + p*c, 4*n + 3*c = 2*c - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21038 + -21033. Solve 8 = -4*m, -7*m - 3 - f = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipiciccciicicpiici. What is prob of picking 2 c and 2 i?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092087 to 7 decimal places.\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 7*t**5\/20 - t**4\/6 - t**3\/3 + 6*t**2. Is m(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + c + 1, 2*s - 4*s = 3*c - 22. Let t = -293 - -504. Suppose 0 = -s*o + t - 16. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*p - 11 = -7, 2*p = 2*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4674959 is divided by 1895?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 4*w**5 + 5*w**5 + (2*w**3 + 6*w**3 - 4*w**3)*(-3*w**2 + 8*w**2 - 2*w**2).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60355981 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/3666*(-65)\/(-20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25749865 is divided by 1355256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:04 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 25\/(-15))\/(28\/(-18)). What is the fourth smallest value in -105\/2, j, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnx. Give prob of sequence nx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/20 + u**5\/6 + 11*u**4\/12 + u**3 + 2*u**2 - 416. Factor i(r).\nAnswer: -2*(r - 3)*(r + 1)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*r + 9. Let f(x) be the third derivative of -7*x**2 + 0 - 1\/3*x**3 + 0*x - 1\/12*x**4. What is f(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-4)\/127)*4. Let h = -88 + m. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.13, -1\/5 in increasing order.\nAnswer: -5, -3, -1\/5, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13675515 and 19145721.\nAnswer: 95728605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49110 or -49349?\nAnswer: -49110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**4\/24 + i**3\/2 + 331*i**2. Let p(k) = -20*k - 9. Give -11*j(f) - 4*p(f).\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 8. Let i be m(-7). Find the common denominator of -13 and 27\/(-12)*i - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1210*w**2 - 3 + 1970*w**4 - 379*w + 2427*w**2 - 1217*w**2 wrt w.\nAnswer: 23640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46386.03 nanograms to grams.\nAnswer: 0.00004638603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-90)\/27)*(-13 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67198*h - 67201*h - 3*c - 12, 0 = 7*h - 2*c + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(96)\/sqrt(4))\/sqrt(2)) + 2 - (2 + sqrt(9)\/sqrt(3) - (sqrt(12) + 2)))**2*-2*3.\nAnswer: -96 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznezonnznenqwneeq. What is prob of sequence zwoz?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15709\/3 - -5236. Which is the nearest to s? (a) 4 (b) 2\/7 (c) 1 (d) -158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 559.3107 days?\nAnswer: 48324444480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l + 14*l - 361 + 81 = 0. What is the remainder when 231 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140\/((-34720)\/186) + 7\/(-8)*-194. Let t = -36 - -88. What is the greatest common divisor of a and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Suppose -l - 25 = -h*l. Sort l, 2, 3.\nAnswer: 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 155*z - 4913. Calculate s(-29).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12 + 2*x**2 - 12. Let i(p) be the first derivative of p**5\/20 + 4*p**2 - 6. Let r(z) be the second derivative of i(z). Calculate v(r(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -601146*x**4 - 202055*x wrt x.\nAnswer: -7213752*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17845 + -17842. Suppose -5*n - 13 = 12. Let g = -3.02 + 3. Which is the nearest to g? (a) n (b) f (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o + 3. Let c be ((-3)\/(-2))\/((-2)\/4). Let a be x(c). Let l = -30 + 35. Put a, l, -5 in increasing order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 32*g**3 + 88*g**2 - 96*g + 36.\nAnswer: 4*(g - 3)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + c4?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 - 242 = 17*s. Solve -x - 6 = -0*x + s*w, -5*w - 14 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35131\/126 or -278?\nAnswer: -35131\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1501, -3003, -4505, -6007?\n\"Answer: -1502*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:23 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99605 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 at most as big as 25105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from ezzeezee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let u(f) = f + 1. Let w(t) = -234*t - 191. Let z(o) = -15912*o - 12987. Let v(m) = 273*w(m) - 4*z(m). Let s(i) = -195*u(i) - v(i). Give s(b(p)).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-13 - -8 - 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 + -156 - -12 - 46?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-6)\/(-3)) - 2. Let g be 16\/6*(-3)\/h. Let x(r) = r. Let n be x(5). Solve -n*o = -y + 4*y + 14, -o - g*y = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 23*r + 8. Calculate l(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.486 + -0.096. Let x = -0.39 + f. Is x less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5204 divided by 6?\nAnswer: -2602\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 107 = 523. Let z = y + 15. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 20, 1\/6, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-78)*4503\/16511. Let p be 1 + -7 - 2*-1. Which is the third biggest value? (a) p (b) -5 (c) 61 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3610 + 3614. Which is the third biggest value? (a) p (b) -1 (c) 1\/6 (d) -1.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 227 - s + 4*s - 218 - 3*s**2. Let z be l(5). Is (z + 0)\/(8\/(-1016)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + 111?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 6*i + 15. Let j be m(-8). Suppose -v - j = 165. Does 16 divide (v\/15 + 2)\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -43)*2\/12. Let l be -2*18\/(-45)*j. Solve -2*z - 8 = 2*r, -l*z = r - 6*z + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 3 + 7*j**2 - 8*j**3 + 0 + 7*j**3 + 2*j. Let u be z(6). Let r be ((-1050)\/(-4))\/(-5)*-2. Calculate the highest common divisor of u and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 t when three letters picked without replacement from itziztiizmz?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5513066588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -36, -35, -34, -33, -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6807 + -2582. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13774*s**2 - 6900*s**2 + 4*s - 6918*s**2 - s.\nAnswer: -44*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 2, g: 1, w: 1, b: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/968 and 67\/6.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -888, 101 in descending order.\nAnswer: 101, 0, -4, -888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.3. Suppose -6*k = -5*k, -3*k - 12 = -4*z. Which is the closest to 1\/3? (a) -2 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*g + 76*g + 4. What is the first derivative of 0*h**g + 19 + h**4 + 6*h + 25 - 7 wrt h?\nAnswer: 4*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2)*-3 - (4 + 2 + sqrt(117)) - ((0 + (sqrt(117) + -1)*1)*-3)**2.\nAnswer: -1062 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -241b81 (base 15) to base 3\nAnswer: -10020202022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4121 - 4119. Suppose 4*s - 3*l = 6, 5*s + 3*l + 2 + 4 = 0. Suppose -4 = -2*x + 3*h, 0*x - 2*x - 3*h = -16. Solve s = y*n - x - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26936 and 87100?\nAnswer: 45117800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 175757, 4, -3, 7.\nAnswer: -3, 1, 4, 7, 175757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 (base 13) in base 16?\nAnswer: 4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*z**2 - 24 + 36*z - 36*z.\nAnswer: 230*z**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6169.928 micrometers?\nAnswer: 0.000006169928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1379*v**2 + 454*v**2 + 467*v**2 + 2*v**3 + 458*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:50 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*10 + 102\/(-34). Let x be (2 + n\/(-6))\/(6\/(-12)). Solve -2*i - 5*k = -8, -x*k + 6 + 9 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**3 + 0*d**2 + 1\/6*d**4 + 9*d + 0. Let n(w) = -22*w**2. Give t(n(f)).\nAnswer: 968*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2560876240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -9)*342\/(-72)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 23c9d5c?\nAnswer: -23c9d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204806b (base 12) to base 13.\nAnswer: 1346423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t. Suppose t*j = -5*j - 15. Let o(n) = -n - 7. Give o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 11. Let t = c + 6. What is the third derivative of -4*s**2 + t*s**2 + 3*s**5 - s**2 + 0*s**5 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196406.033 + -67.2263.\nAnswer: 196338.8067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 - 135*s - 211*s - 212.\nAnswer: -346*s + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0 + 3\/14*g**3 + 1\/28*g**4 + 3\/7*g**2 - 13*g. Determine c so that r(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6050))\/(sqrt(1440)*2) + (sqrt(245) - (-3 + sqrt(245) + 4) - sqrt(245))**2 + -3.\nAnswer: 123*sqrt(5)\/8 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4391.67107 + 3.5\nAnswer: 4395.17107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p + 1. Let u be r(5). Let m = u - -34. Let w = 34 - m. What is the highest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 3. Give k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1869 and 29828439?\nAnswer: 208799073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + c - 3*c)*(-3342*c - 2551*c + 7318*c) - 6*c**2 + 2*c**2 + c**2.\nAnswer: -2853*c**2 + 1425*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/2 - 8*w + 8. Let p(y) = 37*y. Determine r(p(u)).\nAnswer: 111*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 24*y - 5. Suppose -43*m = -39*m - 24. Let w = m - -7. Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.103 - -5.797. Let k = f - 6. What is the nearest to 0.1 in k, -5, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*b - 333 - 9, -3*g - 2*b = -245. Calculate the remainder when 169 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n = 7*n - 234 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(2 - 1 + 0) + 5*g + 2*g - 6*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 5, x: 3, u: 3, s: 1}. Give prob of picking 1 s and 1 v.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 less than or equal to 1387012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364112*r - 727518*r + 364308*r.\nAnswer: 902*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.531 and -0.09251.\nAnswer: -0.62351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 + -46.7. Let h = m + 46. Let b = -1.9 - -2. What is the third biggest value in b, 2, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 4. Suppose -3*u + 10 = 25. Let z(l) be the third derivative of l**4\/24 + l**3\/6 - l**2. Determine u*z(b) + s(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 61 = -4*l. Suppose 2*k - 1056 = -l*k. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 710\/60 + 2\/12. Let c = 8 - 6. Solve -v + k = c*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(7) - (sqrt(252) + 3)) + (sqrt(847)*4 + sqrt(7))**2.\nAnswer: -5*sqrt(7) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/4 of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315383153 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49230402 to the power of 1\/2, to the nearest integer?\nAnswer: 7016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20534 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/10, 0.5, -2\/15, 14 in ascending order.\nAnswer: -5, -2\/15, -1\/10, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k = -5*k - 1311. Suppose b - 142 + 47 = 0. What is the highest common factor of k and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5161 - 5157. Let s(h) = h**3 - h**2 - 3*h - 4. Let u be s(3). Suppose u*g + 0*g = 30. What is the smallest common multiple of z and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 2*y + 19. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f + l - 4, -4*l + 16 = -4*f. Let a be f*(4 + -6 + 1). Solve -4*c = -a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)\/(y\/(y**(-2\/3)*y*y))*y**(1\/5)*y*y\/(y**9\/y*y) assuming y is positive.\nAnswer: y**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777 by 135.\nAnswer: 259\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -135420 and -135419 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 183415*o**3 + 733605*o**2 - 916985*o + 366790 = 0.\nAnswer: 1, 2, 36679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-191858)\/(-4716)*(-44)\/(-4004). Let f = 45\/1703 - p. Calculate the common denominator of -173\/30 and f.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(30\/(-8))*1386\/(-85536)*180\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -5*a + 33, 5*a - 19 = -3*l. Let f(s) = s**2 - 3*s - 8. Let k be f(5). Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121 and 99.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51 - 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 - (-1)\/(5\/(25\/(-5))). Solve 0 = 2*g - 7*g - k, -5*g = h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9724407 divided by 121.\nAnswer: 80367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (11 - -7)) + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12718079, 25436163, 38154247, 50872331, 63590415, 76308499?\nAnswer: 89026583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -17. Suppose -5*v - 5*d = -25, 4*d = u*v + 1 - 26. Let c(s) = -v*s - 5*s + 8*s. Let l(o) = -2*o**2. What is c(l(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {u: 2, m: 3, y: 1, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11288829.5 and 5.\nAnswer: 11288834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9087899?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)*w)**(-21\/2) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14976721.\nAnswer: 14976721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328 - 453*a - 449*a - 2*a**2 + 902*a to n*a**2 + d + z*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12924*f - 361. Is i(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*p = -229 + 298, 0 = -2*p + 18. Let y(a) = 37*a. Let i be y(6). What is the highest common divisor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9 - 9*h + 3*h**2 + 5*h**2 - 29*h**2. Let b = 8510 + -8501. Let u(o) = 5*o**2 + 2*o - 2. Suppose 3 = 2*n - 1. What is b*u(l) + n*c(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = -2*j. Let p = -1 + 1. Which is the nearest to 1\/4? (a) j (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -2) + (22 - (5 - -15))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101229607794.2 + 1.\nAnswer: -101229607793.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -523\/35903 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)\/c**(-13\/3))\/(c\/((c*c**(-4\/17))\/c)*c*c**(-5)) assuming c is positive.\nAnswer: c**(3671\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(-6*a + 34*a + 15*a + (-2 + 2*a + 2)*(5 - 3 - 3)) to the form i + g*a and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 6*z + 2. Let n(h) = -6*h. Let k be n(1). What is the lowest common multiple of x(k) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 17 - 3*r)*(117*r**3 - 68*r**3 + 129*r**3) to t*r**2 + p + o*r + v*r**3 + m*r**4 and give m.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/18*3 + (-250)\/(-2). Let r be (3\/4)\/((-2)\/16). Let c be 4\/r + (-70)\/(-6). What is the greatest common divisor of b and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(14*q**3 - 6*q**3 - 128*q**3 + (12 - 6*q - 12)*(-3*q + 3*q - 2*q**2)) as m*q**2 + x*q + a*q**3 + p and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4494 divided by 379?\nAnswer: -4494\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/((-150)\/(-125) - 21\/15). Solve -5 = z + 4*g, 5*z + 3 + 22 = u*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1691728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (6 - (19 + -21 + (-6 + 17 - 0))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3278 - -4606. What is the remainder when s is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 4. Suppose -3*s + 3*x = 18, 3*x - 16 = -2*s - v*x. Let u = s - -7. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 3, -7, 1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*(t**(2\/19)*t)\/t))*t))**(13\/5) assuming t is positive.\nAnswer: t**(-273\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3 - 13. Suppose r*h + 84 = 6*h. Let s = h - 20. Which is smaller: s or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1660 + 1094. Is q\/(-6) + 30\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -2 in decreasing order.\nAnswer: 0.1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Solve 3*h - r - 3 = -b, 5*r - 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 738*k**3 + 9*k - 40*k**2 + 4*k + 2 - 4 + 37*k**2 - 12*k**2 + k**6 wrt k?\nAnswer: 120*k**3 + 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85966752.\nAnswer: 2, 3, 83, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3127131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -17197*x + 17201*x - 46 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37655*b + 37645*b - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*c + 85, 6*c - 3408 = p - 3405 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*c + 33, -8 = 3*i - 4*i + 2*c. Let z(l) = -l**3 + 19*l**2 - 19*l - 38. Let n be z(i). Let k = n + 86. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260612.974 rounded to the nearest one hundred?\nAnswer: 4260600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208796743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*x - 18 = -2*x, 2*x + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 3*h. Let n(z) = -3*z + 7. Let a be n(5). Let r = 15 + a. Suppose -3*q - 1 = -r. Calculate f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 901179 and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = 54*h + 45 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144881429753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22823308 is divided by 1521553?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -91*c**2 + c - 38. Give v(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -281*b - 547. Does 10 divide v(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.9553 years in months?\nAnswer: 8711.4636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7540693 litres in millilitres?\nAnswer: 754.0693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388020569.\nAnswer: 388020569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -69. Let n = 65 + o. Suppose -3*k = z + 25, n*k = -0*z - 2*z - 29. Which is the closest to -2\/5? (a) 0.3 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22059 - 21771. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 3. Let a(j) = 6 - 18*j + 15*j - o. Let i be a(-4). Solve 0*x = -3*x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*r**2 + 3767*r**2 + 3022*r**2 to the form f*r + w + t*r**2 and give t.\nAnswer: 6913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*k - 1343*k + 282 - 281.\nAnswer: -2263*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601117638 to the nearest integer?\nAnswer: 24518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12702*o + 8363*o - 3747*o + 10439*o to the form g + k*o and give k.\nAnswer: 27757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/(-162)*(30\/(-4))\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - t - 46 = 0, 76 + 7 = 4*k + 3*t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171830751 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 420 = 17*p. Let d = 4 + 3. Let k be (-3 - -2) + d*-1. Are k and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 10 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - -10. Let b(d) = -5*d + 15. Let m be b(-6). Let y be (-10)\/m + (-4)\/f. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/65*13*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-35 - (7 + -42)) - -56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*(-10 + 4))\/2. Let h(t) = -t**2 - t**2 - t**3 + t**2 + 2*t**r. Calculate the smallest common multiple of 10 and h(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258016559?\nAnswer: 4273, 60383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 73 = -f + 57, -5*f = 2*h - 146. Suppose -c + 36 + h = 0. What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 130. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (-20 - -5 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) + (sqrt(432) - (sqrt(432) - (sqrt(432) + sqrt(432)*-1))) - sqrt(432)) + sqrt(432))\/sqrt(8))\/(2*sqrt(3)*-3 + (1*sqrt(6))\/sqrt(2)).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 77.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/30 + 17*b**3\/6 - 37*b**2. Let n(u) = -u**2. Calculate z(n(q)).\nAnswer: -2*q**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = m - 0 + 10, -5*m + 8 = -4*i. Does 6 divide (-2 + 1 - 840\/i) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:33 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -3*c + 6, -3*c + 21 = 3*s. Solve 2*m - 20 = s*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 19*b**2 + 20*b + 7. Determine r(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 56, 63, 62, 53, 36, 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - -5*sqrt(495)*1)\/(sqrt(60)\/(sqrt(12) + (sqrt(12) - 2*sqrt(192)))) + 1.\nAnswer: -108*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*b - 28 + 9, -11 = -2*b - 3*j. Suppose -4*f + b + 3 = 0. Let a = 1 - 3. What is the biggest value in a, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-29))**(-30) assuming y is positive.\nAnswer: y**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18894a8 + -5?\nAnswer: -1889502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/370 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 212 = -2*k, -5*a + k - 3*k - 264 = 0. What is the hundreds digit of (-10 + (-9763)\/a)\/(2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-1))\/a*a)**(-36))**(-3\/23)*((a\/(a\/a**(2\/5)))\/a*a)\/(a\/(a\/a**(-1\/5))*a*a*a)*a**4*a*(a*a**(-4\/3)\/a*a*a)\/a*a*a*a assuming a is positive.\nAnswer: a**(6677\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 26*c**4 + 62628676*c**3\/5 + 7543015562424*c**2\/5 + 7891089089724*c\/5 + 348136155846\/5 = 0.\nAnswer: -240879, -1, -3\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52271 and 150467?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 590\/15*((-6)\/(-14))\/(256\/896)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89204.89l to millilitres.\nAnswer: 89204890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -161, -243?\n\"Answer: -82*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20280, -20269, -20244, -20199, -20128, -20025, -19884?\nAnswer: -19699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -92040?\nAnswer: 92040.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4807 = 5*d - 17*q + 3192, -3*d + 380 = -4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 16}. Give prob of picking 2 c and 2 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 163?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 43. Suppose -v + 4*r + 33 = 0, r = v + 4 - 22. Is i(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606*x**4 - 167*x - 409*x - 6590*x**3 + 6588*x**3 wrt x.\nAnswer: -7272*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-21))\/(3\/3). Let g(n) be the first derivative of o*n - 4 + 2\/21*n**3 + 4\/7*n**2. Let g(v) = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142474097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6012, -6016, -6018, -6018, -6016, -6012, -6006?\nAnswer: -5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 144256?\nAnswer: -144261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 73681848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-5)\/(-7))\/(66\/1001) and -50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, -3 in decreasing order.\nAnswer: 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/7, -14, 4 in ascending order.\nAnswer: -30, -14, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11389*y - 1022483 - 412531 = 0 for y.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139990 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 270.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -27436718?\nAnswer: -3\/27436718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, i: 3}. What is prob of picking 3 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*i + 34 = 0, -2*o - 2*i - 2*i + 20 = 0. Suppose o*d - 5*d = 3. Suppose m - d*k = 14 + 88, -2*m - 3*k = -186. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.7. What is the nearest to 1\/4 in 0.5, -5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2324584034 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 5) in base 14?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + 2*o**2 + 2*o. Let t be z(4). Suppose 2*l - 26 = 4*c, 0 = l - 0*c + 3*c - 33. What is the highest common factor of l and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + 1 + 5))**2 - ((2 + sqrt(2299) + -1)**2 - sqrt(2299))) + -5 + (4 + 0 + sqrt(2299) - -2*(sqrt(2299) - sqrt(2299)*1))**2.\nAnswer: 46 + 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84809 divided by -14.\nAnswer: -84809\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 16*f + 26. What is the units digit of n(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(16) + (-1*sqrt(1296) - sqrt(1296))))\/(sqrt(200) - ((sqrt(200) + sqrt(200)*-1*-6 + sqrt(200) - sqrt(200)) + sqrt(200))) + -1.\nAnswer: -1 + 51*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i. Let v(w) = 156*w. Let f(l) = 2*l**3 + 31*l**2 - 43*l + 120. Let o be f(-17). Give o*c(m) + 3*v(m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*s**2*u - 788*s*u**3 + 2*u**3 + 3*u**2 + 16*u + 5 wrt s.\nAnswer: 342*s*u - 788*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198119033.\nAnswer: 7, 23, 61, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21045067\/645 + -32628. Let n = 563036\/4515 + o. Let r = n + -125. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808 and 1582266?\nAnswer: 6329064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*o**3*u + 171615*o**3 + 72*o**2*u + 2*u wrt u?\nAnswer: -28*o**3 + 72*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = h, -3*y + 50*h - 47*h = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1254 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 20 + 13 + 7.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 1428. What are the prime factors of h?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 1326, 2981, 5298?\nAnswer: 8277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 25*y**5 + 274585*y**4 - 2637552*y**3 + 42209024*y**2\/5 - 45027328*y\/5 = 0?\nAnswer: -10993, 0, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -173, -176, -191, -224, -281?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243)*-1 + -3)**2.\nAnswer: 36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-14\/9)*(y**(2\/23)*y)\/y*y*y**(-23)\/(y**(2\/5)\/y) assuming y is positive.\nAnswer: y**(-22634\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 80*m - 19 - 16*m + (0 + 2 + 0)*(-2 - m + 2).\nAnswer: -98*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 17 = 5*j, -3*d + 4*j = -79. Let y(i) = 5*i - 3*i - d*i - i. Let r(l) = -l**2. Calculate y(r(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34\/57 - -5\/19. Let q = 1\/34567 - -3076214\/8607183. Let y = 2\/83 - q. Is y <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5410 and -61\/3246.\nAnswer: 16230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191203912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 + 5*v**2 + 7*v + 5. Let s(r) = r**5 - r**3 - r**2 + r - 1. Let n(m) = f(m) + 5*s(m). Find the second derivative of n(l) wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(b**4 - b**4 - 6*b**4 + (-2*b + 0*b + 3*b)*(b + b**3 - b)) - 5*b**4 - 22*b**4 + 4*b**4.\nAnswer: -33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*f**4 - 2\/9*f + 2\/9*f**5 + 0 + 0*f**3 - 4\/9*f**2.\nAnswer: 2*f*(f - 1)*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 17*d - 5*d + 7 to the form r + j*d and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 8*g + 6. Let j be i(-6). Let s be 10\/3*j\/(-4). Solve s*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:49 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4344 rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(2*l + 1 - 1) + (-2*l + 1 - 1)*(16 - 2 + 22)*(2 + 5 - 3)*(-2 + 1 + 4).\nAnswer: -868*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - y**2\/5 - 17*y\/5 - 3.\nAnswer: (y - 5)*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 858297*i**3 - 6300748?\nAnswer: 2574891*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 205, 220, 237, 256, 277, 300?\n\"Answer: d**2 + 12*d + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 (base 7) in base 9?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -691 + 1273. What are the prime factors of z?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/48*-6)\/6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352814641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/10)\/(6\/8). Suppose -z*b = -9*b + 30. Solve 3*y = 4*u - 7, 3 = 3*y - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k - 23*k = 2350554. What are the prime factors of k?\nAnswer: 3, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12489046.\nAnswer: 2\/6244523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-404)\/707*(-1)\/(-1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12201 + -14?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 201*p**2 - 11*p + 2210. Determine s(201).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10100001101000?\nAnswer: -10100001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h**4\/2 - 19*h**3\/2 + 33*h**2\/4 + 6*h - 5. Factor v(k).\nAnswer: 3*(k - 4)*(k - 1)*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 3)*(1 - 5 + 2)*(-7*p + 0*p - 13*p).\nAnswer: 160*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g + 12. Let v(o) = o**3 - 13*o**2 + 10*o + 16. Let d be v(12). Let c be p(d). Is (-6)\/c*824\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 60 = -5*o + 280, 0 = -2*o + 4*p + 74. What is the biggest value in -5, -0.024, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 11 + 4, o - 4*l = 1. Let n(z) = -9*z + 8. Let d be n(o). Let w = d - 103. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/((-6)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*y - 100 = 0, 3*i = -2*y + 145 - 33. What is the greatest common divisor of 490 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23888812535\/6968 + -3428360. Calculate the common denominator of -87\/14 and z.\nAnswer: 48776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1.2.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2425705km?\nAnswer: 242.5705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1901, -6781, -14637, -25469, -39277, -56061, -75821?\n\"Answer: -1488*d**2 - 416*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 7. Suppose 2*z - r + 4 = -4, 5*r + 20 = 0. Let j be p(z). Let u(x) = -x - 4. Let a be u(-4). Solve a = 2*c - 3*d - j, c + 4*d + 2 = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 + -361.9. Let w = 14.8 - 16. Let j = w + u. Which is the closest to j? (a) 4 (b) -1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p\/(p*p**(2\/3)*p) assuming p is positive.\nAnswer: p**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*q - 948*q + 412*q + 3490*q**2 - 411*q wrt q?\nAnswer: 6980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, -150, -38, 188, 564, 1126, 1910, 2952?\nAnswer: 4288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7071234 (base 8) to base 13.\nAnswer: 503785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9797.\nAnswer: 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9\/k*k**(-12)\/k*k**(-8)\/(k*k\/(k*k\/(k\/k**(-1\/4)))*k) assuming k is positive.\nAnswer: k**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21933 (base 11) to base 7\nAnswer: -161350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -9, -13, -21, -33?\n\"Answer: -2*s**2 + 6*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 2. Let i = 2 - 1. Suppose -n = -4 + i. Let g be o(n). Let h(v) = v - 1. Let m(a) = 2*a**2 + 12*a - 8. Determine g*m(c) - 10*h(c).\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 235928138989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9 - ((-12)\/10)\/((-160)\/(-1600)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 12*k**2 - 15*k - 5. Let d be g(-13). Suppose 5*a + 6 = d. Let o(f) = f**3 - 2*f**2 - 4*f + 3. What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31*266647\nAnswer: -82660.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5383*k**2 - 3*k + k + 10757*k**2 - 5377*k**2 + 168.\nAnswer: -3*k**2 - 2*k + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3516775 to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166639377 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 89640 is divided by 42748?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 21.3?\nAnswer: 12.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v*w + 15218*v - 2525*w with respect to w.\nAnswer: -2*v - 2525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161953 is divided by 1460.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p + 170. Calculate the smallest common multiple of 28 and s(12).\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*i + 3066 = 361*i. What is the greatest common factor of 5110 and i?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 28*t**3\/3 - t**2 - 11*t - 40. What is the units digit of v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 3133 = -3173. Solve -j*x - 285 = -293 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:49 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(7\/14*-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - 2 + 2 + (5*y**3 + 0*y**3 - 9*y**3)*(-2*y**2 + 0*y**2 + 4*y**2) - y**2 + y**2 - 2*y**5.\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24757309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19162.\nAnswer: 2, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -n - 4*n + 30, 0 = -n - 5*h - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2352 = 2*m - 5108. List the prime factors of m.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*m + m + u, 4*m - 3*u = -37 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = 0, -9*n + 16*n - 42 = -2*l. What is the highest common divisor of 436 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + z - 8653928 = -g - 8653881, 0 = 3*z - 45 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 795*k**2 + 11760*k - 1776740.\nAnswer: 5*(k - 37)*(k + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 3244440?\nAnswer: 3244402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 45*v**2 - 325*v + 22. What is d(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3421, 22415, 72561, 169435, 328613, 565671, 896185?\n\"Answer: 2596*v**3 + 822*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5903.7173 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1068 = -5*t - 16203, -4*t = -2*y + 7566. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + 1 + sqrt(128) + -1 + (-5 + sqrt(16)\/sqrt(2))*-2 + -5)**2.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - -2 - 1 - 49 - (0 + -114).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 2*l - l - 4*l - 7*l + (2*l + l - l)*(1 + 3 - 5))*(-4 + 7 + 4).\nAnswer: -105*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968 = -326*u + 408*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -25*y + 65. Suppose -46*d - 16 = -48*d - 2*n, 2*n - 10 = 0. Calculate w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 2070 = -23*u. Suppose 0 = -4*g + 2*c - 4*c + 178, -c = 5*g - u. What is the greatest common divisor of g and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1\/6*a**3 - 1\/24*a**4 + 0*a + 0 + 3*a**2 + 1\/240*a**5. Let t(x) = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 193*v**2 + 2*v + 1. Let g be h(-1). Suppose 0*f - 3*u = 2*f - 101, -4*f + g = -4*u. Let p = -30 + f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19. Suppose -3*v - 2*v + 400 = f. Let q = v + -37. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/8 + 1637*c**3\/8 + 672393*c**2\/8 + 2005735*c\/8 + 667489\/4 = 0?\nAnswer: -817, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 11. What is the least common multiple of (-2 - 2)*1\/(-2) and t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - c + 6, 273 = 6*g - 4*c + 243 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 87*m - 43)*(-2*m + 0*m + 15*m + 1 - 1 + 2*m + (-3 + 5 - 3)*(3*m + 0*m - 2*m)).\nAnswer: -1218*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8469 + -6460. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 18 = 3*n, -6*n + 3*n - x + 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1112110220 (base 3) to base 16\nAnswer: -761d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76079 take away -0.42669?\nAnswer: -76078.57331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 231178225 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*t**2 + 13811*i**3 - 43611*i**2*t**2 - 5*i**2*t wrt t?\nAnswer: 4*i**3 - 87222*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4068 and 113\/36.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*c = 0, 0*m + 7*m + 16 = 3*c. What is the nearest to -3030 in m, -3, -5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyb when four letters picked without replacement from {f: 4, y: 1, b: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*i = -161*i + 689. Sort -1, i, 4.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6714 = -4*d - o, 2*d = 8*o + 4668 - 1260. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7)*(-10 - (-207)\/(-90))*(-25)\/(-45)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 - 36*m**4 + 323*m**3 + 36*m**2 - 324*m = 0.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.311 - -6.689. Let t be (-652)\/(-304) - 3 - (-2)\/19. What is the nearest to -1 in 5, -1, t, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5863\/90 - -577\/10. Find the common denominator of 32\/21 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-120) + (-484424998)\/15. Round w to the nearest one hundred thousand.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*p + 36*p + 35860 = 451*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -27)*(-1)\/(-2) + (-306)\/12\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + 11 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 4*l - 4. Let f(t) = -t - 1. Let a(k) = 4*f(k) - h(k). Let o(y) = 2*y**2. Let q(x) = x**2. Let w(j) = 5*o(j) - 7*q(j). Calculate w(a(v)).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - 5*i**2\/2 - 5*i - 179. Let c be -2*((-3)\/(-2) - -1). What is the tens digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.3, 0.2, 1\/3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*t = 2*t + 23, 3*b - 4*t = 16. Let j = 14 - b. Suppose -h - 15 = j*h. Which is greater: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 85*z**2 - 83*z - 24. Give f(-84).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 1. Let t be o(3). Let z(m) = -4*m**2 - t*m**2 - 3*m + 9*m**2 + 3 - 3*m**2. Suppose 0*v - 3*v - 2*r + 1 = 0, 0 = v + r - 2. Determine z(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5452 + 654515?\nAnswer: 663300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -37 - 1. Let -19 - 7*q - q**s + 12*q - 1 + 11*q + 5*q = 0. What is q?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8982, -17964, -26946?\n\"Answer: -8982*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wddwwddddwwdwdwwn. Give prob of sequence nwd.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpnnu. Give prob of picking 1 p, 1 u, and 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29094 + 231891 = 11205*k - 21303 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 11634.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (10 + -27 + -7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 59. Suppose -2*h - 1 = 4*d - 3, -1 = -o*d - 3*h. Let q = -8730\/29 + 301. Do d and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9b84 (base 12) in base 5?\nAnswer: -24141341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.574012 - 1.58. What is v rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1045783*q - 7320502. Give z(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)*1)\/sqrt(7) + sqrt(30) + sqrt(30) - sqrt(30)) + 2*sqrt(4320))\/((sqrt(1440) - (sqrt(1440) - sqrt(1440)*1)) + -6*sqrt(20)\/sqrt(2)).\nAnswer: 13*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293532467*a*b**3 + 3*a*b**2 - 2*a*b + a + 18*b**2 - 2*b + 9532 wrt b?\nAnswer: -1761194802*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107809*n = -18*w - 107812*n + 207, w - n = 15 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 12. Let h(w) = -3*w + 6. Let o be h(v). Put -2, o, -12 in decreasing order.\nAnswer: -2, o, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8033, 30397, 67677, 119879, 187009, 269073?\nAnswer: 366077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*n + 1417, 5*n = -2*x + x - 2353. Suppose -19*v = -22*v + 6. Is 10\/(-20) - n\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42968 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2721.7 + -2721. Which is the fourth smallest value? (a) 1\/5 (b) l (c) 0 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i + 2558820 - 2560110 = 0 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 3*n + 3*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**35\/v**(28\/5))\/((v\/v**(-7\/3))\/(v\/(v**(-26\/3)\/v))) assuming v is positive.\nAnswer: v**(551\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**2\/2 - 33490. Suppose 0 = -2*f - h - 3, 3*f - 4*h = h + 2. Let l(s) = 3*s - 1. What is f*l(w) + 5*x(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 25440389?\nAnswer: 228963501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8361692\/35 - 238940. Let i = 174\/5 + f. Factor 4\/7*x**3 + 0 - i*x - 2\/7*x**2.\nAnswer: 2*x*(x - 1)*(2*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.84. Let h = -0.2 - x. Let i = -1 - -1. What is the nearest to 0 in 0.3, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwttwutttwtwu. What is prob of sequence tt?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 78*i - 162. Let a be j(3). Let w be 0 - 10*6*-2. What is the highest common factor of a and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**3 - 8*h**2 + 6*h. Let d(l) = -8*l**3 - 9*l**2 + 7*l. Give -6*d(n) + 7*m(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353 - 348. Suppose g*k = 4*d - 42205, d - k - 21107 = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.5. Let x = 8.7 + -8. Let w = -1.1 + x. Which is the third biggest value? (a) t (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 + 48*m + 32. Let w be r(-11). Let g be 1*6\/11 - w\/(-22). Solve g = 2*x + x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/22, 0, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -639 + 575. Is 27 a factor of (74 + -2)*(-336)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.608 rounded to zero dps?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3115.01 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3540, 15, 69, -4, 2 in descending order.\nAnswer: 69, 15, 5, 2, -4, -3540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h, -2 = -2*y + y - h. Let t be (-4)\/(-6) + 12\/9. Find the third derivative of 2*z**5 + 3*z**2 + 0*z**2 - z**y - 7*z**t wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/14, -2\/17, 0.03, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 12 = -l + 4*n, n = -l + 22. Suppose l*d + 220 = 24*d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31285400 rounded to the nearest one hundred thousand?\nAnswer: -31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 - 3*f**2 + 4*f - 5. Let d(b) = -19*b + 61. Let s be d(3). Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4916588 and 213.06504.\nAnswer: -4916374.93496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-34.97.\nAnswer: 10.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001876 rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -95. Suppose -n = -p*n - 21. Let x be 0 + 3*n\/27. Which is the smallest value? (a) 5 (b) x (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/485 and 91\/6.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-6 - -14 - 30) - 39\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:59 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -5 (c) 1\/3 (d) 4712\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 974 - 128. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -72. Let d = p + 44. Find the second derivative of 118*x + 3*x**d - 106*x - 25*x**5 wrt x.\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24))\/(-4*(-15)\/96)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18580 - -657. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*v = 254 - 244, 5*m - 2*v - 10 = 0. Put 6, m, 4, 3, 7 in descending order.\nAnswer: 7, 6, 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159894?\nAnswer: 2, 579947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n, -10*f = -5*f + 2*n - 661577. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -79 - 476. Suppose 4*q - k = 137. Suppose 0 = -4*c + 8, 0 = -4*r - 3*c + q + 24. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 - r + 2. Let q(s) = 6*s**3 + 12*s**2 - 6*s - 20. Let l(n) = q(n) + 5*t(n). Calculate the smallest common multiple of l(-8) and 496.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*1*3*-4)**2 + -5.\nAnswer: 158395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 4716.\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 28*q - 4. Calculate p(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*n = -4, -f - 3*n + 0*n = 8. Suppose -3*q = f*q - 56. Let b(t) = -t**2 + 8*t - 2. Give b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 451*o + 3885. Give b(-8).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - 3 - (-1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14307 divided by -6?\nAnswer: -4769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97036 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 29*o**2 - 3*o - 1. Let f(b) = -b**3 - 12*b**2 - 12*b - 8. Let y be f(-11). Is l(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 - 953964*c - 953960 = 0?\nAnswer: -238490, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871582 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*a + 23*a**4 + 111*a**2 + 93*a**3 + 23*a**5 + 24*a**5 + 126*a**2 + 58*a**3 - 46*a**5.\nAnswer: a*(a + 1)**2*(a + 9)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyb when three letters picked without replacement from {w: 1, y: 2, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3108016.62349 and 111.\nAnswer: 3108127.62349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2959209 and 1076076.\nAnswer: 11836836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6919*b*c**2 + 12878511*b - 546*c**4 wrt c.\nAnswer: -13838*b*c - 2184*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**3 + 19*p**2 + 7*p + 251. Let c(k) = 5*k**3 + 6*k**2 + 2*k + 84. Let s(w) = 7*c(w) - 2*g(w). Differentiate s(b) with respect to b.\nAnswer: 21*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 85, 102, 121, 142?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 6*j - 2*j + 96 = -4*k - 0, -6 = 3*j for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d + 42 - 118 + 68)*(-4*d + 0*d + 3*d).\nAnswer: -9*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 + q**4\/8 - 7*q**3\/6 + 4*q**2. What is m(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -155 + -128?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t - 10*t - 25*t - 364 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-69190\nAnswer: -13838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.01. Let x = 0.19 + w. Let i = 142\/3 - 47. Which is the nearest to -0.1? (a) x (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143952, 143963, 143978, 143997, 144020, 144047?\nAnswer: 144078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 375. Let g be l(-48). Let i(d) = -d**2 - 7*d + 14. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676174 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363 (base 8) to base 6.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3564 + -2397. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 43*f - 5. Let y(l) = -15*l + 2. Calculate -2*h(p) - 7*y(p).\nAnswer: 19*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2337, 4774, 7211, 9648?\nAnswer: 12085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242408 and 3575518.\nAnswer: 14302072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63.6 (b) -1 (c) -3624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-60))\/((-1401)\/(-11675))*-4)\/(12\/9)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*p**2*q**3 - 4*p**2 - 77*p*q**3 - p*q**2 + 150*q**3 + 7288*q - 12 wrt q.\nAnswer: -150*p**2 - 462*p + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53121, 53189, 53281, 53409, 53585?\n\"Answer: 2*u**3 + 54*u + 53065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 443 - 463 - 2*z - 116 + z**2 + 146 - z**3 to y*z**3 + p*z + u + b*z**2 and give u.\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) 3 (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-10)*(-141 - -1)\/(-4). Suppose 72 - m = 22*g. Solve -t - i - 1 = 0, -4*i = 7*t - g*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/((2 + -4)\/(-1)). Suppose 3*j - i - 471 = y, -i - 2*i = 2*j - 303. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k = -0*k + 588 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5410\/8 - (-1)\/(-4). What is the third derivative of -w*y**6 + 699*y**6 - y**2 - 6*y**2 wrt y?\nAnswer: 2760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*d = -7, 4*p + 4*d = -3 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3443 - -7161.468\nAnswer: 10604.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q + 232 = -8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.2 + -64.729. Let c = 0.641 + m. Round c to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -7 - 2. Let u be (0 + 2\/z)*18\/(-28). Let q(a) = a**3 + 18*a**2. Let k be q(-18). Is u < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:54 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 1 - 6*v**3 + 4*v**3 + v**3. Let n(o) = 35*o**3 + 30*o**2 + 30*o + 30. Calculate -n(r) - 30*p(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -33043\/4 greater than or equal to -8261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 25. Let k be y(-8). Let v = -6 + k. What is the tens digit of (v + -6)\/(12\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**3 + 2*j**3 - 5*j**3)*(20 + 16 + 23 + 7) to m*j**2 + d + o*j + a*j**3 and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.09 (b) 8 (c) 0.5 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2427940 and 1530.\nAnswer: 21851460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4928348244 to the power of 1\/2, to the nearest integer?\nAnswer: 70202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000704 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -132311 (base 4) in base 7?\nAnswer: -5516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506.24 - -505.24. Let p = 33 + -36.4. Let q = 0.4 + p. Which is the nearest to j? (a) q (b) -11 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 670*m + 1093*m + 1689*m to the form v*m + a and give v.\nAnswer: 3452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12 - 2*c - 3 + 0. Suppose 0 = 5*q - 2*q - 4*u + 45, -q - 2 = 3*u. Let k be r(q). Solve -2*f = -k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2376\/544583 + -1\/2119. Let w = 773\/514 - h. Factor 1\/2*a**2 - w - 1\/4*a**3 + 5\/4*a.\nAnswer: -(a - 3)*(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 66 + 16. Let s = c - -42. Calculate the common denominator of -17\/12 and s\/5*65\/78.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/7, -54.7, 1\/29, 1?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 16\/5 (c) 23 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 585 by 99.\nAnswer: 65\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692939103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040 and 3328.\nAnswer: 16640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -15*w - 474. What is h(-27)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 38058.\nAnswer: 152232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13388.77 - 639.47. Round g to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25106 - 17454. Is q a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11771.0011666 + -11771. What is o rounded to 5 decimal places?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:14 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5220*z**2 + 8448*z?\nAnswer: -10440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -88 - 65. Suppose 2*k + r = -34, 76 = -4*k - k + 2*r. Let j = u - k. Sort -5, j, 6 in increasing order.\nAnswer: -5, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 + 100 = 0. Suppose 4 = q - 2*g, -5*g + 10 = -q + k. Is -2 - (-36)\/q*(-163)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 52?\nAnswer: -85\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 2:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000055385 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 14. Let s = -169 - -154. Let l = q - s. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 o when four letters picked without replacement from {a: 3, k: 3, d: 1, o: 3, t: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 913257*s**3 - 16*s**2 - 5*s + 18. Let b be w(2). What is b rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -4\/9 (c) -0.16 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1304820.000008 - -1304834. Let r = s - 14. Round r to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5) + (1 - 7 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196882 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-31 - -35) + 1 + -19 - 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-7)*(441\/(-630))\/((-4)\/5)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -162*o + 1. Let q be a(2). Let x = -6785\/21 - q. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70144*s**3 - 3016194*s**2 - 3086250*s + 88 = 0. What is s?\nAnswer: -1, 1\/35072, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z + 242. Let j be k(-52). Suppose 2*o - j = -0*h + 4*h, 2*h + 2145 = 3*o. List the prime factors of o.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 151. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 73.\nAnswer: -10\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11460*k - 5737*k + 2149625 = 0 for k.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 102 = 3*v, -v + c = 3*c + 24. Let q be 298\/14 + v\/105. What is the highest common factor of 105 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 7*b**2 + 7*b + 8. Let q be d(-6). Let z be 2\/4*(q - -12). Let u be (-2867)\/(-427) - 1\/(-1) - 12\/42. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3 - q**3 + 4*q**2 + 2*q + 4*q**2 + 4*q**2 - 2*q**2. Let f = 30 - 20. Let v be d(f). Calculate the greatest common divisor of v and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + -8 - ((-5 - 1) + (204 - 222))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3510251 and 1248.5?\nAnswer: 3509002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 4. Let n be w(-6). Suppose -2*u = 3*z - n, -4 + 10 = 2*z + 2*u. Suppose -4*p - 477 = -3*g, z*g + 2*g + 4*p - 608 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 282*j**2 - 5286*j + 12061. What is v(262)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -81*c**5\/55 + 21*c**4\/44 + 10*c**3\/33 - 2*c**2\/11 - 48*c. Factor p(f).\nAnswer: -(4*f + 1)*(9*f - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3752 divided by 28418?\nAnswer: -1876\/14209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 47*a**3 - 3*a**2 - 2 + 121*a**3.\nAnswer: 168*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/280*(-5)\/86. Let u = z + 5161\/4816. Let c = -90\/11 + -101\/110. What is the common denominator of c and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 86\/10 - -4) + 130422\/217170. Do 1 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 34. Let x be 1\/4 - 3\/y. Let r be (1 + -3)\/(0 + -1). Solve 4*w = 4*p, x = 2*w - 5*p + 4 + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2503430560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:45 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 330, 521, 730?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + -1542462?\nAnswer: -1542420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*((4 + 0 - 2)*(-4*k + 3*k + 7*k) - 54*k + 4 - 4 + 2*k - k + 0*k + (0 + 0 - 2)*(2*k - k + k)).\nAnswer: 45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -8, 5, -4, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*u - 504 = 325*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9213?\nAnswer: 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - (-249 - -102)) + (-5036)\/112?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 7*c + 27. Let r be n(0). Let h(t) = -7*t + 5. Let l be h(-4). Let s = l - r. Solve -5*q - 7 = -2*i, -4*i - s - 4 = -2*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 6588?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3374137\/64 + -52722. Find the common denominator of w and -81\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, -64, -63, -62, -61, -60?\n\"Answer: t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 5:29 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6 + 3 - 3*o - 25. Calculate the remainder when 11 is divided by g(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*r**3 + 403*r**2 wrt r?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -738 - 0?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 6*o**3 - 243*o**2 - 41 + 22.\nAnswer: 6*o**3 - 243*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*g + 6 = 0, -3*j - 4*g = -6 - 0. Factor 0*u - 2\/11*u**j + 0.\nAnswer: -2*u**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 14) to base 3.\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/24 + r**5 - 45*r**2. Solve a(z) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2094500 divided by 46\nAnswer: 1047250\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 14*m**2 + 12*m - 340. Give w(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (98\/28)\/(((-15)\/(-10))\/(-3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 + 136*r\/13 - 1386\/13.\nAnswer: 2*(r - 9)*(r + 77)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {i: 1, f: 1, m: 2, z: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130008216 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 14*y**2 - 13*y - 35. Let j be r(15). Sort 0, -4, 1, j in descending order.\nAnswer: 1, 0, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159185)\/176328 - 18\/(-16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3911 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*m - k, 5*k - 37 = 3*m + m. Suppose 4*o - o - 5*f + 3 = 0, -4*f = o + 18. What is the smallest value in 1\/4, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011593 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 5\/4, 1\/207 in decreasing order.\nAnswer: 67, 5\/4, 1\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 11, o: 3}. What is prob of picking 1 y, 1 a, and 1 o?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -37. Suppose -40 = -11*s + 6*s. Calculate the remainder when n is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 + 398. Suppose -2 = -k + 5. Calculate the smallest common multiple of (-1 + -2 - (-2 - v)) + 3 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*z**6 + 53*z**6 + 5*z**2 + z + 104*z**6 + 2*z wrt z.\nAnswer: 21480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 28*d + 36780000. Round d to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/27 - 59\/216. Let j = 16.2 + -19. Let f = -0.2 + j. Which is the biggest value? (a) -1\/4 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19842393 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101 and 15463.\nAnswer: 1561763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423.335 times 4?\nAnswer: -5693.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 11*i**4 + 24*i**3 + 44*i**2 - 112*i = 0. Calculate i.\nAnswer: -2, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9768, 18492, 26174, 32814, 38412, 42968, 46482?\n\"Answer: -521*i**2 + 10287*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8 + 4. Let y(t) = 11*t**2 + 2*t**d + 19*t**2 + 4*t - 5. Is y(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 67410*w + 1212408.\nAnswer: 3*(w - 22452)*(w - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1336*s - 1402*s - 330 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5043 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 + 13 = 0. Let r be ((-42)\/(-56))\/((-2)\/s). Which is smaller: r or -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*h - 3. Suppose 0 = -h*j - 4*a + 50, j + 19 - 49 = -3*a. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(6\/16). Let j = -560 + 11203\/20. Let f = 79\/260 - j. Which is the third smallest value? (a) f (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 306 - 312. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-2\/7)\/r*r)*r)\/r**9*r**(1\/8)*r**(-1\/6)\/r assuming r is positive.\nAnswer: r**(-1303\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 206 - 198 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 0, -3*g + 4*q = 5*q + 155. Let y be g\/(-10) - 13\/65. Solve -y*i = 10 + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Suppose -3*q + 0*x = -4*x - 12, 5*x + 8 = 2*q. Which is the closest to y? (a) q (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s\/s**(4\/3))\/((s*s\/(s*s**1*s)*s)\/(s\/s**(-1))) assuming s is positive.\nAnswer: s**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 192*i**2 - i + 59. What is g(64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7296759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:05 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/480*-72 + (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -280*g**2 - 5612*g - 234. What is m(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -0.25.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799717 is divided by 202.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - p + 23*p - 3. What is s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from pniiispnppssp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkhkukokoggoou. What is prob of picking 1 k and 1 o?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqmwqwhqhwqww. What is prob of picking 2 w?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 12. Let w be (-24)\/10 + (6 - j). Let u = 6 + -1. What is the biggest value in u, -4, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 7:36 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 456\/342 + 19\/6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z - 5*f, 0*f = -2*z + 4*f + 8. Suppose 0 = -z*a - 0*a + 100. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137 - -446. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 2:48 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 21*d - 66. What is the remainder when 69 is divided by i(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4 + 15 - 15 + 11*t. What is the remainder when v(17) is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -755, -5, 5 in ascending order.\nAnswer: -755, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -2\/7 (c) -1\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/780)\/(15\/(-54))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-426)\/(-1491) - 72\/(-14). Put -0.09, k, -3\/7, -1 in increasing order.\nAnswer: -1, -3\/7, -0.09, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 61 - 99 = 0. Let m = q - 58. Let r be (-502)\/(-8) - (m\/(-24) + -6). What is the highest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {w: 3, c: 1, a: 2, d: 1, n: 3, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 118175\/3097 + (-54)\/3 + -20\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:51 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.90633 to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 2346?\nAnswer: 25806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:14 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 3, 15, 21, 15, -9, -57, -135?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 982 + 4?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 8284078?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 2 l when four letters picked without replacement from lzzzlllczzdlclllczl?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73299 - 2204*g + 36652 + 36647)*(2 - 3 + 3) as h*g + p and give h.\nAnswer: -4408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -330*c + 138. What are the prime factors of p(-3)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268674112 to the nearest integer?\nAnswer: 35618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-1)*8\/(-48)*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10411, 10410, 10409, 10408, 10407, 10406?\nAnswer: 10405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 10 + 80. Suppose y + 6 = -25*i + 28*i, 5*y - i = 12. Solve -y*o + m - 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(1\/(-2))\/(2\/(-32)). Suppose -3*c - 72 = -c. Let b = c - o. What is the nearest to -0.1 in 3, -2\/11, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:19 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 6 = -51*i. Let v(f) = -12*f + 4 - 6*f - 3. What is v(i)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:57 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(7\/3))\/t*t)**(-44) assuming t is positive.\nAnswer: t**(-440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.6. Let l = -2 - -2.5. Let w = r + l. Which is the second smallest value? (a) -1 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-1464))\/(2\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03987 and 0.0304995.\nAnswer: 0.0703695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times -0.2\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 19*v + 12. Let w be c(10). Factor 8*n**4 - 2*n**5 - 12*n**3 - 2*n + 81*n**2 - 153*n**w + 80*n**2.\nAnswer: -2*n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(18*10\/(-90)*15)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143.99 + -142. Let k = j - -0.01. Let a be (-4)\/(-7)*84\/(-72). Sort 5, k, a in increasing order.\nAnswer: a, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(4*2\/88). Suppose 11*m = 12*m - w. Are m and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + (-9)\/((-360)\/250)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014.31879 rounded to one decimal place?\nAnswer: 3014.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.898328211 to 4 decimal places.\nAnswer: -0.8983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*o**4\/7 - 141*o**3\/7 - 57*o**2\/7 + 141*o\/7 + 9\/7 = 0. Calculate o.\nAnswer: -1, -1\/16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8015553 and 195?\nAnswer: 40077765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3487*y - 3470*y = -6922*y - 2345 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37020907 a multiple of 3986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 5*y + 1. Let u be w(4). Suppose 0 = -u*p + 192 + 153. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1035 + 1204. Calculate the smallest common multiple of 65 and w.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479980, 959959, 1439938, 1919917, 2399896, 2879875?\nAnswer: 3359854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/2 + 147*r**3\/2 + 5473*r**2\/2 + 5037*r\/2 - 5329 = 0 for r.\nAnswer: -73, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 13\/8*j**4 + 8 + 7*j**2 + 169\/210*j**7 + 0*j**5 + 0*j + 0*j**6 + 0*j**3. What is the second derivative of a(y) wrt y?\nAnswer: 2028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*y**2)*(-y**2 + 9*y**2 - y**2 + (-2*y**2 + 0*y + 0*y)*(-1 + 0 + 3)) as m*y + n*y**4 + g*y**2 + a + u*y**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 0*n**3 + 3*n**3)*(0 + n + 0) + 0*n**4 + 2*n**4 - 4*n**4 + (n**3 - 6*n**3 + 3*n**3)*(-3*n + 4*n + 0*n) + 3*n - n**4 - 3*n.\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -120, -218, -340, -486, -656?\n\"Answer: -12*g**2 - 38*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1522875*f*w**2*x**3 + 2*f*w**2*x - 4*f*w*x**2 + f*x**3 - f*x**2 - 132233*w*x**3 wrt w?\nAnswer: 3045750*f*x**3 + 4*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1106 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 27 = -2*d. Let m(x) be the third derivative of -1\/300*x**5 + 0 + d*x**2 - 1\/30*x**3 + 0*x + 1\/60*x**4. Factor m(a).\nAnswer: -(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -666431?\nAnswer: -666431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)**(-18))**(-48)\/(((y*y*y**(1\/2))\/y)\/(y**(-5)\/y)*y**(-2)\/y**(-3)) assuming y is positive.\nAnswer: y**(3439\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - -101. Let f = -124 + t. What is the smallest common multiple of 14 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rwqdfqrcf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*c + 236, -4*q - 45 = -3*c + 137. Solve 11*l - 2*l + c = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otttttttttytttt. Give prob of picking 1 y and 3 t.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**2 + 5*o + 4. Let u be y(-3). Let c(r) = 36*r - u*r + 0 + 1. Is c(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -15742672069067.\nAnswer: -15742672069066.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172205 and 21065.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2. Let v = 14 + -6. Let p = 12 - v. Let i(d) = -5*d**2. Calculate p*s(j) + 3*i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 195 - 3*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 1977816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00731153 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 152\/20 + -4 + -4. Let z = 3 + -1. Suppose -w + 0 = i - 1, 0 = -3*w + 5*i + 3. Which is the nearest to z? (a) k (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 16 + 2*p - 30 + 9. Let b be f(4). Let g(x) = -b*x - 8*x + 8 + 16*x - 6*x. Calculate g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525766257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/9 + 24640*a\/9 - 128921 = 0.\nAnswer: -24687, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 18*m + 6. Let p be y(-18). What is the units digit of (0 + (-292)\/p)*48\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7643 + 7763 + -1 + -57.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1174*f + 26. Let b(v) = 2348*v - 53. Let q(l) = -4*b(l) - 9*u(l). Let m be q(6). Suppose 4*w - m = 2542. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1\/2 (b) -2\/3 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235068 is divided by 58756.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 39614*a + 4 + a**3 - 39620*a + 11*a**2 - 3 - 447*a**4 - 12*a**2 in the form p*a**2 + z*a + d + k*a**3 + v*a**4 and give v.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 8*s + 3*s - 9*s - 15*s)*(3 - 3 - 4*s) + 0*s**2 - 4*s**2 + 3*s**2.\nAnswer: 51*s**2 - 244*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + t + 136 = 468, 2*h - 5*t - 210 = 0. Let j = -110 + h. Which is the second biggest value? (a) -0.1 (b) -2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/4, -3, -247, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhuhhh. Give prob of sequence uhhu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274226*z = 274196*z + 2850. Calculate the greatest common factor of 3439 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t - 8. Let q(y) = y - 1. Let w(s) = c(s) - 8*q(s). Let p(n) = -2*n**2 + 9 - 9. Calculate p(w(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrbnbjrjjbjrjrgjj. Give prob of sequence nb.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -399 + 382 - 3*j**3 - 3*j**2 + 0*j + 2*j as m*j**2 + n*j + h + c*j**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**3 - 504*i**2 - 7*i + 23. Let w be c(-23). Solve 1197 = -9*a + w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218152 to the power of 1\/2, to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15749421*y**2 + 10724871 wrt y.\nAnswer: 31498842*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 - 5*y**3\/3 + y**2 - 3*y - 1827. Let s be ((-3)\/(-2))\/(12\/72). Let f(a) = -2*a + 13. Let u be f(s). Calculate v(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/343536 and 149\/41224320.\nAnswer: 41224320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64945 + -39958. Is 5\/20 + (v\/4 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*m - 7090 - 1135 = 0 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 60\/9 + 85\/(-17). Which is the biggest value? (a) 5\/4 (b) -5 (c) 0 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + n = -159, n = 3*m - 241. Let z = -6 + m. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554365.4 rounded to the nearest 1000?\nAnswer: 5554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.790652984 to one decimal place.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) 11 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.06 - -0.06. Which is the second biggest value? (a) -5\/2 (b) m (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:46 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -87*w. Sort w, 4, -1 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/3 - 3*l**2 - 3*l. What are the prime factors of v(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -472*(-103230)\/36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101410272.\nAnswer: 2, 3, 117373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 239 divided by -9\nAnswer: -239\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29034 - 29034. Solve o = -6*u + 1428 - 1458 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, x: 1, w: 1, p: 1, t: 1, s: 2}. Give prob of picking 1 w, 2 p, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 12. Let a = l - -3. Suppose -s + 5*s - 104 = a. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -775*p**3 + 1168*p - 10402*p**2 + 1193*p - 2361*p wrt p.\nAnswer: -4650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*j**3 + 36*j**3 - 54*j**4 + (-j**2 - 2*j + 2*j)*(2*j**2 + 1 - 1)*(-2 - 2 + 2).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 288222, 576150, 864074, 1151994?\n\"Answer: -2*l**2 + 287934*l + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v**2 - 5*v + 7. Determine b(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 2*g**3 - 13*g**2 + 5*g + 35. Let i be (-3)\/(1 + (-55)\/22). Let s(x) = -x**2 + 5*x - 1. Give i*v(q) + 11*s(q).\nAnswer: q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-48)*-10)\/((-25)\/(-45)*-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -667.68 to the nearest 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111220, 111198, 111180, 111166, 111156, 111150?\nAnswer: 111148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11937 + -5266. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -6\/11, -0.07, -2\/23?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*x - 223. Let z(b) = 16*b + 36. Let q be z(-6). Let y = q + x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -5465436283659.\nAnswer: -5465436283655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 24, 33, 46, 63?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5)\/(i\/(i\/(((i*(i*i**19\/i)\/i)\/i)\/i))))**(2\/15))**(-47) assuming i is positive.\nAnswer: i**(2632\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 15*y - 2 - 18*y.\nAnswer: -28*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0653764 litres?\nAnswer: 65.3764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.5, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 32*x**3 - 16*x**3 + x**2 - 4 - 3*x**2 + 7*x - 19*x**3. What is the units digit of m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:25 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63515099 a multiple of 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/((-2)\/(-4)). Let l be 3\/(9\/(-291)) + 2. What is the common denominator of l\/50 + g*1 and 53\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 63, -526, -1, 10 in decreasing order.\nAnswer: 63, 10, 2, -1, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15706, 125385, 423082, 1002805, 1958562, 3384361?\n\"Answer: 15668*r**3 + r**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -523 or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*l**2 - 466*l**2 - 35*l + 118*l**2 + 118*l**2 + 119*l**2.\nAnswer: l**2 - 35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1173682, -2347365, -3521048, -4694731, -5868414, -7042097?\n\"Answer: -1173683*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 16\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5\/2*g**5 - 11*g**2 + 0*g**3 + 0 + 73*g - 1\/12*g**4. Find the third derivative of x(t) wrt t.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.64 - -0.15. Let l = u + 0.552. Round l to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.4 (c) 1\/3 (d) 10.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 2. Let w(r) = -r + 2. Let j be w(-4). Let p be f(j). Suppose -5*v - 2*d + 124 = 0, -88 = -4*v - 0*d + p*d. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11766, -13410, -15028, -16608, -18138?\nAnswer: -19606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 3*g - g + (g + 9*g - 6*g)*(-1 + 7 + 1) in the form u*g + o and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*5\/(-20)*-20. Let y be s - 2 - (-4 - (0 + -3)). Factor 3*j**y - 19*j**2 - 6*j - 19*j**2 + 29*j**2.\nAnswer: 3*j*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.023 minus -0.6?\nAnswer: 4.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 9*h + 459 = -157. What is the least common multiple of h and 6344?\nAnswer: 69784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 0 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 8. Let u be y(0). Solve -c + 5*c + u = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = 17. Let d(w) = a*w - w + w**2 - 6 - 8*w. Let i(f) = 3*f + 3. Let v(o) = 3*d(o) + 5*i(o). Differentiate v(h) with respect to h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 + 2*r**3\/5.\nAnswer: -r**3*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596130 divided by 1298065?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 462397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56895, 56897, 56901, 56907, 56915, 56925?\n\"Answer: n**2 - n + 56895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 10:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.33072 microseconds to minutes.\nAnswer: 0.000002505512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428429 = 15*f - 1063786. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11 + 2*i + 11 + i**3 - 2*i**2. Suppose 0 = -2*j + 1 + 1. What is the smallest common multiple of j and o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + m + 3 - m**3 + 4*m**2 + 4*m**2. Suppose 2*i - s + 3 = 100, -s + 53 = i. Calculate the remainder when i is divided by o(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1050.881g?\nAnswer: 1050881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53327816999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -26*a**2 + a - 5. Let b(k) = 78*k**2 - 4*k + 17. What is 2*b(f) + 7*x(f)?\nAnswer: -26*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = n - 14, -5*z - 136 + 132 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 5*x - 2. Let h be m(-5). Let y be 30\/(-12) + (-79)\/h. Suppose 32*k = y*k. Solve 3*i - 5*z = -29, k = -2*i - 3*z + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -431 in descending order.\nAnswer: 14, 0, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 46.2. What is the closest to 1 in 3\/2, h, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 16*f**2 + 16*f - 5. What is q(-15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 64. Suppose -2*b - 189 = -l + 1492, -2*l - 5*b + 3326 = q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 46035*w - 276379. Give i(6).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from gggoaagug?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-2) + -3)\/((-414)\/(-24)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 9 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 257\/4. Let u = 0 - 0.5. Which is the nearest to 1\/3? (a) u (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 9*j**2\/2 + 4*j + 2. Let w(o) = -3*o - 1. Let l(q) = -2*g(q) - 7*w(q). What is the derivative of l(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = -5*n, -214*n + 216*n - 3 = -3*t. Solve 0*u + 3*u = -t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 10}. Give prob of sequence nn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 8580810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 6. Suppose -3*i - 6 = 0, 3*i = 5*q + 12 - 33. Let k be (0\/(-1))\/(2\/(-2)). Suppose q*o + o + 20 = k. What is v(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/21092 and 5\/28.\nAnswer: 147644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -84*n - 3089. Let c be y(-37). Solve c*k = 22*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -98, -98, -114, -152, -218, -318, -458?\n\"Answer: -t**3 - 2*t**2 + 13*t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 9*y + 9. Let r be g(6). Let q = -49 + r. Let h be q\/4*(2 - 0). Are -10 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3990*v**3 + 193*v**2 + 2*v - 7892*v**3 + 3884*v**3 in the form n*v**3 + c + z*v + b*v**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 6 + -3 + -1. Suppose -x + 28 = f*x. Let c(a) = a + x*a - 2 + 0 - 2*a. Determine c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + 185\/280. What is the third biggest value in -0.2, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14560\/325*(60 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000409732566 rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 8 = -4*r. Let m be (-6)\/(-12)*r*3. What is the derivative of -6*w**3 + 64 - 65 + 3*w**m wrt w?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 791\/4 - 5089\/20. Let n = c + 113\/2. What is the closest to 1\/2 in n, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (sqrt(200) - (2*(sqrt(200) - (1 + sqrt(200))) - sqrt(200))) + (sqrt(200) - (-2 + 2 + sqrt(200))) + -4)**2*5.\nAnswer: -800*sqrt(2) + 4080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 10685859?\nAnswer: -10685877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 2)*(-10 + 4 + 8) - 3 + 1 + 4)*(-83*v**2 - 90*v**2 + 70*v**2) to the form h*v + b*v**2 + l and give b.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016 - 16.016. Let c = -16.7 - o. What is the fourth smallest value in c, -1, -1\/5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 + 227440*p**2 + 7729492*p + 65690856 = 0.\nAnswer: -56826, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 82?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 4*g - 6, 0 = 2*p - 2*g + 4*g + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 23*y**4\/24 + 5*y**3\/6 + 4552*y**2. Calculate j(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p**2 - 9 + 8*p + p**2 + 13. What is the units digit of t(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 2, k: 2, g: 1, p: 2, l: 1}. Give prob of sequence vlk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/6 - 2*d**4 + 11*d**3\/6 + 25*d**2 + 112*d\/3 + 16 = 0. Calculate d.\nAnswer: -12, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 42*v + 39*v = 33602, 50406 = 3*n - 3*v. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - h - 2. Let t(n) = -5*n**3 - n - 2. What is -3*g(r) + 4*t(r)?\nAnswer: -2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300353, -300361, -300373, -300389, -300409?\nAnswer: -300433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, 135, 659, 1393, 2337?\nAnswer: 3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53, 22, -15, -46, -59, -42, 17, 130?\n\"Answer: 2*s**3 - 15*s**2 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -162. Is (-9 - (-2 - 0))\/(n\/14611) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*x = 5*l - l + 1486*x + 14, 4*l + 18 = -5*x for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1320 and -53\/450576?\nAnswer: 24781680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 116920498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1530244 - -3?\nAnswer: -1530241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 176108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1 - (4 - 2)). Let w(d) = -21*d + 2. Let u(l) = -28*l + 3. Let r(t) = -4*u(t) + 5*w(t). Determine r(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108731 to 4 decimal places.\nAnswer: -0.1087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/208 and 109\/1144?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 4096)\/((-120)\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -165? (a) -4 (b) 8\/5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(4\/(344\/3)). Suppose 6*r - z - 226 = 0. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212 and 5194?\nAnswer: 10388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/182 and 18\/7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31469491 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6980557*y**4 + 7155807.\nAnswer: -27922228*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*((-4*g**2 + g**2 + 2*g**2)*(-3 - g**2 + 3) - 23*g**4 - 80*g**4 + 3*g**4) to t*g**4 + j + p*g**2 + v*g**3 + c*g and give t.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -91bcd?\nAnswer: -91bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z*z**(3\/14)))\/((z\/(z\/(z\/(z*z\/((z\/((z*z\/z**8)\/z))\/z)*z*z))*z))\/z)*z**32*z\/(z**(-4\/11)*z)*z assuming z is positive.\nAnswer: z**(4489\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*q - 28 = 0, -2*z + z = -5*q + 17. Suppose 3*j = z + 9. Let l = 21 - -11. What is the greatest common factor of l and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 890*x**3 - 36845*x**2 - 245640*x - 380880.\nAnswer: -5*(x - 92)**2*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12287981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7149803809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38743687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 0. Suppose -10*j + 1200 = -2*j. Let z be 9*((-2)\/(-10) + 1570\/j). What is the highest common factor of q and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479245457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1797*g - 5651*g + 2042*g + 1806*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -678. What is the tens digit of g\/(-9)*-9 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 22, -2\/3, -0.1, -2 in decreasing order.\nAnswer: 22, -0.1, -1\/5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + o - 10 = 3*o, -24 = -2*q + 5*o. Suppose 3 = -q*z + 19. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l - 7*l - 17*l + (4 + 0 - 2)*(4*l + 0*l - 6*l).\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8073 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 774.\nAnswer: 37926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 + 303*j**3 + 101442*j**2 + 2867268*j + 5331240 = 0. What is j?\nAnswer: -118, -30, -2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84244, -168487, -252730, -336973?\nAnswer: -421216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*b + 635 - 410 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1009*w**2 + 20*w - 5. Let o(j) = 4*j - 1. Give 15*o(z) - 3*y(z).\nAnswer: -3027*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 890541467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30.313*17\nAnswer: 515.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*1*781\/2343?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40768 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2*s**5\/35 + 377*s**4\/14 + 752*s**3\/21 - 5193. Factor m(f).\nAnswer: 2*f**2*(f + 1)*(f + 376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (275\/(-25) + (-61)\/(-6))\/((-1)\/12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*g**2*o**2 + 2*g**2 - 25086*g*o**2 + 2*g*o + 4*g - 6*o - 13 wrt o?\nAnswer: 32*g**2 - 50172*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.6.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25794813 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Suppose 2*n + 4*n + 0*n = 0. Let f(p) be the second derivative of 0 - 3*p + 1\/6*p**3 + n*p**2. What is c(f(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154953 plus -4?\nAnswer: -4.154953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 10*t - 217205 = -24789. What are the prime factors of t?\nAnswer: 2, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3. Let p(q) = 200*q - 900. Determine -p(v) - 300*u(v).\nAnswer: -200*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2013 = 2*v + a + 431, -4*v - 3*a = -3168. Suppose 0 = 2*z + 43*u - 42*u - v, 2*z - 780 = -4*u. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 3751 + 3727 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 - 4*l**2 + l + 15*l**2.\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.3 (c) -4\/3 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 4. Suppose -14 = -4*k - 2*j, 6*j - 3 = 5*j. Does 5 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 divided by 163.\nAnswer: -525\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2086*x + 969. Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeemmzkezm. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44107078 rounded to 4 decimal places?\nAnswer: 0.4411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3201126?\nAnswer: 2, 3, 67, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-144))\/((-2)\/(-12)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3 - (-318)\/105). Suppose -5*z = -0*z - o. Suppose -3*b + 4 - 1 = -3*p, 4*p + b = z. Solve 0 = p*k - 24 + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2440 - 2413 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88440 and 20?\nAnswer: 88440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 - (-4 - (5 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 1. Let v be 4\/(-24) - 10\/12. Let n be y(v). Suppose 0 = -n*h + 5*h - 28. Calculate the remainder when 39 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14476500 and 804250.\nAnswer: 14476500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15*f = 14*f - 17, 0 = -f - 5. Let y be (z - (-6 + -2)) + 1. Solve -4*m + 5*p = y, 0 = -m - p + 6 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 1 + (1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 363195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 51 = -21. Calculate the lowest common multiple of 27 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1199065345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52*((-2820582)\/(-216) + (-1 - 7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = 4. Let t = -8 - -11. What is the second smallest value in t, z, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 119*v + 4. Let b(s) = -34036*s - 1143. Calculate -1143*a(x) - 4*b(x).\nAnswer: 127*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 86. Let s = 8 + 0. What is the units digit of i\/s - (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9808208, 9808200, 9808190, 9808178, 9808164, 9808148?\n\"Answer: -k**2 - 5*k + 9808214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635\/78 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 2. Let g(o) = 2*o + 3. Suppose -k + 4*y - 24 = -3*k, -k - y = -8. What is k*c(t) + 3*g(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1829*n**2 - 1800*n**2 + 3629*n**2 + 398*n**3.\nAnswer: 398*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 6. What is the second derivative of -3*m**3 - s*m + 0*m**3 + 2*m + 3*m wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:58 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*a = -1809, 5*p + 0*a = -5*a + 1800. What is the highest common factor of p and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/76250 and -167\/33750?\nAnswer: 2058750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -646232 and -646251 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -13. Let q(f) = -6*f. Let c be q(h). Solve -c = 3*p - 3*r, 5*p + 3*r + 19 = -r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 3*p**2 + 20*p + 7. Determine s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 281783, 563605, 845433, 1127273, 1409131, 1691013, 1972925, 2254873?\n\"Answer: t**3 - 3*t**2 + 281824*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15506*q**2*w**2 - 2*q*w**2 - 2*q*w - 2*q - 66*w**2 wrt q.\nAnswer: 31012*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + ((-7)\/(-28))\/(4*(-5)\/(-3920)). Solve -a*o - 13*o = -136 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 (base 16) in base 13?\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-16))\/((-9078)\/48416)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -7*p**5\/12 - p**4\/12 - p**3\/3 - 2666*p**2. Let a(g) = -561*g**2 - 33*g - 33. What is 2*a(o) - 33*h(o)?\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v**3 + v + (-179 - 390*v**2 + 179)*(3*v - 6*v + 13*v) to the form d*v + f + y*v**3 + x*v**2 and give y.\nAnswer: -3901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5440 + 8680 - 5398)*((0 + 1 + 1)*(1 - 1 + c) + 3*c - 3*c - 3*c + 0 + 2*c + 0).\nAnswer: -2158*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 1\/8 (c) -1 (d) 3\/2 (e) 1066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5469 divide 272239194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.7772 millennia to years.\nAnswer: 297777.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let f be n(6). Let x(s) = -3*s**3 + 6*s - 4*s**2 - 5*s**2 + 7 + 5*s**2 - 2*s**3. Let q(u) = u**3. Let o(p) = 4*q(p) + x(p). Give o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460906573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482937574.\nAnswer: 2, 17, 19, 2295569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.89 not equal to -249098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 17. Let w(n) = n - 9. Let x = -517 + 521. Give x*r(y) - 7*w(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k**2 + 4*k**2 + 3 - 5 + 2*k + 47*k**2 - 7 to the form o*k + z*k**2 + v and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -2cecb51?\nAnswer: 2cecb47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.2 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*90\/108*6\/35.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1643.6, -82, 12, -0.2 in increasing order.\nAnswer: -82, -0.2, 12, 1643.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 49*a**6\/360 + 77*a**5\/180 + 4*a**4\/9 + 2*a**3\/9 - 6*a**2. Determine m so that w(m) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 90\/(-60)*(-16)\/6. Let x(v) be the third derivative of -8\/9*v**3 + 0*v + 0 - 1\/6*v**r - 19*v**2 - 1\/90*v**5. Let x(c) = 0. Calculate c.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)\/w + 3\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 157, 158, 151, 130, 89, 22, -77?\n\"Answer: -v**3 + 2*v**2 + 2*v + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**5\/4 + 5*i**4\/8 + 8*i**3\/3 + 4*i**2. Let y be z(16). Suppose -2*f + 4 + 4 = 0. Solve y*l + 2*l = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 127*u**3 + 34*u**2 - 60*u - 14. What is i(2)?\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-228)\/48)*4\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h + 8. Let a(l) = l + 1. Let w(i) = i**3 + i + 6. Let m = -77 + 77. Let j be w(m). Give j*a(o) - q(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-2724)\/28. Suppose 32 - s = -3*a - 4*q, 5*q + 5 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-23))\/(4\/4*(-10)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 19 - 16 = -4*w, -3 = 2*w - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/3 greater than or equal to 1.99632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(50)\/sqrt(2))\/sqrt(5))*-4 - (sqrt(405)*-3 + -5*sqrt(30)\/sqrt(6)).\nAnswer: -4 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g = 96*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -3. Let p(y) = -y**3 - 4*y**2 - 2*y - 1. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 346.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24996 is divided by 576?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2118 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9218\/5 (b) 4 (c) 1 (d) -3 (e) 0 (f) -1\/2 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 3:01 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 17. Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let g be s - (-1 - -2)*1. Find the second derivative of -3*r + g*r - r + 2*r + 3*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -13*k**3\/6 + 6*k**2 - 11*k. Is i(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.808 - 4.192. Let h = -5 - -9. Which is the nearest to 13? (a) h (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3029857341.19?\nAnswer: 3029857341.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 8. Let d be (-6)\/(-4)*(-4)\/3. Let r be a(d). Solve -l - r + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22749513 is divided by 107309.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 40) + 22 + -12 - (-1 + (3 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a (base 11) in base 6?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 20225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:08 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 5*w + 1, -3*w + 5 = 2*n. What is the units digit of (-1 - n)\/((-2)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - -15952?\nAnswer: 15987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let w(y) = 7*y. Let x(v) = 5*b(v) - 2*w(v). Let l(c) = -6381*c. Determine l(x(h)).\nAnswer: -6381*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 + 86 + 3*65 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 3, q: 1, w: 3, x: 3}. Give prob of picking 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 81, 254, 589, 1140, 1961, 3106, 4629?\nAnswer: 6584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.77 * 846.2.\nAnswer: -3190.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -823\nAnswer: 5\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y - 965 + 965.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 67. Put d, 4, -2\/15 in ascending order.\nAnswer: -2\/15, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140.9 - -1050.1. Is k less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 154*j + 9089. What is c(-59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/21 + 5 + (-8 - -24)\/16?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1. Let w be (25\/(-5) - -2) + 2. Let h(f) = -f. Let m(n) = w*h(n) - y(n). Let z be 6\/(-4) - (-1)\/(-2). Let b(u) = 8*u + 8. What is z*b(p) + 14*m(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -197.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346065 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160*d**3*m*y + d**3*y - 3665*d**3 - 12*m*y - m wrt m.\nAnswer: 160*d**3*y - 12*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/80 + 9*y**4\/16 - 13*y**3\/12 + 2947*y. Factor w(o).\nAnswer: -o*(o - 26)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(121) - sqrt(121))*5)\/(sqrt(275)*3 - sqrt(11)).\nAnswer: 5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -7a1?\nAnswer: -7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + 0 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6013 (base 7) to base 3.\nAnswer: 2211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 117*s + 15 = -114*s, 25 = -z + 5*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 389?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4+-649889\nAnswer: -649893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8671\/12 - -723. What is the common denominator of p and 41\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 9:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (0 - 27))\/(113358 - 113360)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 4, b: 3, a: 2}. Give prob of picking 1 n, 2 b, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.6 - -21. What is the smallest value in 2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 1:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2688686.599987 - 2688689. Let x = w + 2.4. What is x rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**3 - 21*a + 2 + 0*a**2 + 17\/5*a**5 + 0*a**4. Find the first derivative of u(q) wrt q.\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 14*l**2 + 3*l.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -4. Suppose 0 = -2*z - z + x. Differentiate 0 + 3*i**z + 3 - 5 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.197 (b) -0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 0*o**2 - 1\/2*o**4 + 0 - o + 1\/20*o**5 + 1\/3*o**3. Suppose -32*m = -36*m - w + 24, -3*m + 3*w + 18 = 0. Calculate p(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-3))\/(-3))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 2148892980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 1 - 1)*(8 + 8*i - 8)*((2 + 1 - 4)*(-3*i + 3*i - 2*i) + i - i + 2*i + 0*i - 5*i + 2*i).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -39, -0.1, 2.5164?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 161034*-250\nAnswer: -40258500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 4*l)*(-4 + 1 + 1) + 5*l + 0*l - l as d + t*l and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2088 divided by 1044.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13*y + 9*y = 964, -y + 200 = c. Suppose -c = -8*k + 76. Calculate the highest common factor of 34 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 1, b: 2, k: 3, d: 1, w: 1}. What is prob of picking 1 b, 1 z, and 1 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 69 - 69 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1046165803 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(3 + sqrt(2057) + sqrt(2057))*-5*-6)**2 + 5.\nAnswer: 118800*sqrt(17) + 7413305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.7, 1\/4, -8, -2\/5, 46?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*g - 50 - 46 + 96 in the form n*g + x and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - 92.7. Let s = y + -0.3. Let w = 6.00000072 + s. What is w rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*a + 84*a - 39 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 - 53068715*u - 20454361 wrt u?\nAnswer: -8*u**3 - 53068715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p*p*p*p\/(p*p*p*p**(1\/2)*p*p)*p))\/(p*p*p**(-2)*p*p**6) assuming p is positive.\nAnswer: p**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 70 = -14. Suppose -4*a + 6 = -5*j + 4, -3*a + 2*j = -5. Calculate the least common multiple of 4\/(r\/(-2) + -3) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 - 2*o - 6. Suppose -8*p = -5*p - 15. What is the remainder when 25 is divided by h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 3, v: 2, z: 2}. What is prob of picking 1 v and 2 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -80287188 divided by -5\nAnswer: 80287188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 10*z**3 - 4*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c95 + 4?\nAnswer: -3c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-25)\/10)\/((-2)\/4). Let w(t) be the first derivative of -5 - 5*t**3 + 6*t**5 - 3 - p - 22. What is the third derivative of w(l) wrt l?\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - (-133 - -118).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155904084.\nAnswer: 2, 19, 83, 341773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -0.15.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((10 - 9) + -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 104*u - 106*u - 48, u + 4 = 0. Suppose 3*d - 25 = 2*d. Solve 4*b = -b + 5*p - d, h = -5*b + 4*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.20439 to 2 decimal places.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -21. Suppose l*w + 4*s - 110 = 0, w = 3*s - 6*s + 40. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1310 + 1310 - 96*b)*(2 - 1 + 4).\nAnswer: -480*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ililililillcl. What is prob of picking 1 i and 1 l?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, -6, 74 in descending order.\nAnswer: 74, 30, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8315172933 to 3 decimal places.\nAnswer: -0.832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 3:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 49 = -5*u + 4*f, f = 4*u - 37. Let t = u + -4. Suppose -3 = 3*b + 5*c + 5, 5*c = -t*b. What is the remainder when 10 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = 20*w + 24 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/11)*o**(-6))\/(o\/(o**2\/o))**(-1\/7)*(o**(-3\/5)*(o\/o**8)\/o)\/((o**(6\/11)*o)\/o**(-3\/11)) assuming o is positive.\nAnswer: o**(-923\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 3*z - 26, 2*z = 5*k - 21. Suppose 12 = 4*w + 2*o, 10 = -0*o + k*o. Suppose -w*r = 3*r - 85. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229484 is divided by 4121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 245981210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/30*5\/(-4))\/((-10965)\/(-1462))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99540.\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 14*j + 8*j + 13*j - 3 - 35*j. Determine v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1381873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 2\/3 (c) 30\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6dd743 (base 14) to base 11\nAnswer: 21405a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 33. What is the second biggest value in -3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-11) + (-1258)\/(-22). Let k = m - 35. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681936272 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, -1, 68, -4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-96)*-18 - 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 609, 609, 621, 651, 705?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5150 + -5101. Solve -x = -45*y - 229 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175\/2 + 87. Let t = 211\/4 - 52. Which is the nearest to w? (a) t (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 + 0.02. Let o = -0.01 + -3.99. Let u = o + 4. What is the closest to u in i, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 9*r**2 - 7*r + 15. Let f be n(-5). Which is bigger: f or -203\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 5 + 5 + 5*s**2. Let i(c) = -6984*c**2 - 6832*c**2 + 13578*c**2. What is i(o(j))?\nAnswer: -952*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**12\/p*p)))**(2\/23) assuming p is positive.\nAnswer: p**(24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 29 = 11. Suppose 0 = 62*h - 45*h - 51. Put u, -3, h in decreasing order.\nAnswer: h, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = -2*h + 7330. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 20*w**2 - 24*w.\nAnswer: 4*w*(w - 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 + 3 - 4) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.89 - -27.89. Let z = 127\/186 + -1\/62. What is the nearest to z in -0.4, 1.9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + g - 4 + 5 = 0, 2*g + 8 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -23\/50953?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64971 is divided by 64075?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 6.99, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036.3001382 rounded to one decimal place?\nAnswer: -2036.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 6*p + 23. Let n(t) = 17*t**2 + 211*t + 11. What is the tens digit of n(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65560*q = -65559*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30797 is divided by 395.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3083075 and 3699690?\nAnswer: 18498450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/381110 and 81\/80.\nAnswer: 3048880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53574 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 341921.\nAnswer: 341920.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfccgfgfggffgcggd. What is prob of picking 1 d and 1 g?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2452825 by 59825.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 271*n**2 - 195*n - 3. Determine a(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*g - 2*g. Let o = g - 9. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrjkkjqqrqrrur. What is prob of picking 2 q and 2 k?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(5 - 3 - 3)*(-39 + 5 + 2).\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 16) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 - 25496*d**3 - 81102632*d**2 + 975986880*d - 2930716800 = 0.\nAnswer: -6380, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 12870*y**2 + 6906861*y - 875601168.\nAnswer: -3*(y - 247)**2*(y + 4784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 40*j**4 + 45*j**3 + 460*j**2 - 700*j = 0. What is j?\nAnswer: -7, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Let v(u) = j*u**2 + 7*u**2 - 9*u**2. Let n(d) = 2*d**2. Give v(n(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8920 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 61*g - 18. Let r be f(1). Suppose 0 = -18*j + r*j - 450. Solve -3*m + 12 = 4*u, -j = -5*u - 3*m - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*78\/(-702). Which is the fifth biggest value? (a) -4\/3 (b) 5 (c) -7 (d) 0.1 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 165. Let g = 51 + v. Let u(s) = -2*s - 7. Let o be u(-5). Solve -g*x - 3 = -x + 2*n, 0 = n + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 + 92. Let h(d) = 20*d**3 + 2*d**2 + d - 2. Let w be h(1). Solve -19 = 2*c + 5*y, -u*y = -2*c + y + w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387887847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37161904121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by 25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080023648.\nAnswer: 2, 11, 587, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4\/9 (b) 0.661 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142283\/12 - -11864. Let v = 23\/4 - f. Let a = 0.1 + 0. What is the third biggest value in v, -2\/7, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*j**3 + 141 - 141.\nAnswer: 1244*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -249555.072 times -2?\nAnswer: 499110.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1122420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = -6*d + 58 - 11 + 103 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, 0, -9, -38 in ascending order.\nAnswer: -38, -9, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2. Let a(p) = 126*p - 105. Let s(o) = -31*o + 28. Let c(j) = -4*a(j) - 15*s(j). Determine c(k(h)).\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8118949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -260 + 900. Suppose 3*j = z - 166. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let f = -22 + 65\/3. Is f bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261.82 - -5.82. Let f = k + 253. What is the smallest value in -2\/11, f, 1, -5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1484 + 323 = 0. Let i = h + -384. Sort -2, 4, -12, i in ascending order.\nAnswer: -12, -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a18 - -1?\nAnswer: 8a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -78.36 * -27\nAnswer: 2115.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2)*g)**(-3\/5)*g\/((g**(6\/7)*g)\/g)*g*(g*g*(g\/(g*(g**(-3\/7)\/g)\/g))\/g)\/g assuming g is positive.\nAnswer: g**(41\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1331)*2 + (2 + sqrt(1331))*-6)**2.\nAnswer: 1320*sqrt(11) + 21521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 0, 5*v - 53 = v + g. Let r = 131 - 93. Calculate the remainder when r is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 140\/(-608) + (-1)\/(-8). Let n = u + 27\/76. What is the nearest to 3 in n, -3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11968.4 + -11968.3924219. What is i rounded to four decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -68 (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = 0, -7*b + 91 = 5*l - 3*b. Suppose 11 - 3 = 4*g. Suppose -l = 5*x - 3*p + g*p, -p = 5. Are -5 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 59. Let s be (4\/11)\/(6\/3). Which is the third biggest value? (a) -2\/3 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.91 - 0.09. Let b = 4 - 3. Sort b, m, -0.6 in descending order.\nAnswer: b, -0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209.1 - 208.1. Let w = -76\/215 + -2\/43. Which is the closest to s? (a) 0.18 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/11 (b) -1\/2 (c) 385 (d) 2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 112*s - 3032. What is x(-66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1766205213.2 + 1582972220. Let v = m + 183233062.19999758. Let w = v - 69. Round w to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71771?\nAnswer: 7, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n + 6400. What is n rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1426 + k + 2082)*(k + 1 - k + k).\nAnswer: 2*k**2 + 658*k + 656","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -305\/2. What is the second biggest value in -0.1, 19\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904445549?\nAnswer: 7, 239, 540613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79149 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/28 - -3\/14. Which is the third smallest value? (a) -1\/6 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**6\/42 - 4*i**4\/7 - 38*i**3\/21 - 33*i**2\/14 - 10*i\/7 - 1345. Factor u(h).\nAnswer: (h - 5)*(h + 1)**3*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3416701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let u(m) = 4*m**2 - 8*m - 8. Let y(r) = -r**2 + 3*r + 3. Let a(x) = -3*u(x) - 8*y(x). What is b(a(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 l when three letters picked without replacement from lyyylyl.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4*36\/48. Let k be 4 + (-3)\/b + -3. Solve 4*f + 5*d - 35 = k, d = -2*d + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1718 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 - 242419*j\/2 - 484837\/4 = 0. Calculate j.\nAnswer: -484837, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 3. Let z be l(5). Suppose 3*s - 33 = -3*h, -3 = z*h - 5*s + 3. Solve -h - 2 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -4 - (-12 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5661980 or -5661976?\nAnswer: -5661976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 9 (b) -0.12 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from iipppptiit.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89488 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14 + (24 - (-3 + 1)) - 42.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.96 - 16.36. What is the biggest value in -4\/69, 0.01, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 13, x: 3}. What is prob of sequence hxhx?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q + 85. Does 17 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*10*5\/15. Solve z*r + 19 = 4*i, -9 - 1 = -i + 3*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 + 31*m - 9. Let w(p) be the third derivative of 0*p**3 + 2*p**2 - 2\/15*p**5 + 0*p + 0*p**4 + 0. What is w(l(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 16. Let j be h(13). Let q be (8\/(-12))\/(j\/(-9)). Suppose 2*z - 2*v - 104 = 0, -q*z - v + 68 = -30. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 - 6*t + 5. Let p be j(4). Let q be 10\/6 - p\/(-39). Solve -3*y - 8 = q*x, -3*x + 5*x - 20 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))\/j)\/(j*j**2)*j**(2\/7)*j\/(j\/((j\/(j*(j*((j**(2\/5)\/j)\/j)\/j)\/j))\/j)*j)*j*j assuming j is positive.\nAnswer: j**(31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 0*n - 4*n, -4 = 4*n. Let m(v) = -v**2 - 11*v - 11. Let o be m(g). Solve -o = 5*i + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 277?\nAnswer: 10\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 448623 divided by -1?\nAnswer: -448623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c + 7. Suppose 3*r + 2*g - 20 = 0, -4*r + c*g - 1 = -9. Solve 8 = 8*i - r*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*m - 2. Suppose -m*x + 2*x = -15. Suppose -x*p - 15 = -2*y, y - p - p = 7. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 631*o**3 + 1441. Let d(g) = 3*g. Calculate a(d(k)).\nAnswer: 17037*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -112, -395, -948, -1861, -3224, -5127, -7660?\nAnswer: -10913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(360)\/sqrt(2))*-6 + (3*sqrt(10))\/sqrt(2) + (sqrt(5) - -5*sqrt(245)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*z - 450*m**3 + 255463033*m*z**4 + 25939 with respect to z.\nAnswer: 2*m**3 + 1021852132*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160434628*q**4 + 283154955 wrt q.\nAnswer: 641738512*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 - 884\/34 - (-6 + 2). Let j be (-4)\/(-14) + 66\/14. Let o be (-3)\/5 + 13\/5. Solve -k*q + 2*d = -8, -o*q - 4*d - 21 + j = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 6*y + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z + 2)*(2 - 12 - 63 - 1).\nAnswer: 148*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 22*r - 4 = 20*r, -3*r + 7*r - 8 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*v + 30 - 28 = 0, 0 = 2*u + 3*v + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) - (-26)\/(-30). Let n = -1.3 - -0.3. Suppose 0 = 6*q - 2*q - 16. Which is the nearest to 0.1? (a) u (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254969.\nAnswer: 11, 13, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 11. Suppose -5*c - 5 + l = 5*o, 0 = 2*o + 4. Solve -10*h**3 - 4*h**2 + 2*h + 6*h**4 + 6*h**2 + 0*h**c = 0 for h.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) + (3*2*sqrt(104) - sqrt(104))))\/(sqrt(288)*-2*3).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 - 1742802*d + 1518679405602 = 0. Calculate d.\nAnswer: 1742802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-3) + 1 - -7. Let p(d) be the third derivative of -n*d**2 + 0*d + 0 + 0*d**4 + 2*d**3 - 1\/15*d**5. Find the first derivative of p(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - 10*z + 10*z + (3 + 3 - 5)*(z**3 + z - z) - 4*z**3 + 0*z**3 + 2*z**3 + 104*z**3 - 68*z + 68*z + z**3 + 2*z**3 + 6*z**3.\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 not equal to 72567\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2589.37 + -2600. Let p = 10.6 + l. Which is the second biggest value? (a) -1\/4 (b) 1\/4 (c) p (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 35284 - 10024. Suppose -1907 = 8*r - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3*g + 3*g + 0*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.13 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.47 + 0.45. Let v = d + 0.02. Sort -1, 0.4, v in decreasing order.\nAnswer: 0.4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + 99 + -107 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/300 - r**5\/150 - r**4\/60 + r**3\/15 + 6*r**2. Suppose m(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4 = -7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from hhhhhhhtth?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25585*h**3 + 12853*h**3 + 12721*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + (-501)\/(-12). Let i = 0 + d. Let b be 1\/2 - i\/4. Let w(m) = -4*m**2 - m + 2. Let x(p) = -7*p**2 - 2*p + 3. Determine b*w(k) + 6*x(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/3 - 5*a. Let j(q) = 10*q + 11. Let b(l) = -23*l - 35. Let o(g) = -b(g) - 2*j(g). What is f(o(x))?\nAnswer: -36*x**2 - 312*x - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/7 - -4\/21. Let q = 4.8 - 5. Let n be (-6)\/21 + (-29)\/21. Which is the smallest value? (a) q (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -193?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 + 3*h**3 + h + 5*h - 6*h.\nAnswer: 3*h**3 + 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 244780376763 and 53?\nAnswer: 244780376710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -683 or -684?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154588, -309176, -463764, -618352, -772940, -927528?\n\"Answer: -154588*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 191*p = -553, -3*f + 2*p - 21 = -22 - 23 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:36 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -25) + (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 13 = c - 7, 5*c = -5*p. Let i be (-2)\/p - 9\/(-6). Let o(y) = -y**2 + 4*y**2 - y**i. Let v(s) = -s**2. Give v(o(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0273 and 1.46824.\nAnswer: -0.040082952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1016.196573 - -9.191663. Let k = 1007 + x. Round k to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 80. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {g: 3, s: 2, z: 1, a: 3, n: 1, t: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15.40104*-0.4\nAnswer: 6.160416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*i + 603*i + 120 = 0. Solve -4*j + 7*j - 2*r - 16 = 0, 0 = -2*j + i*r + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2018.\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2831587ug?\nAnswer: 0.0000002831587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -129, -261, -393, -525, -657, -789?\n\"Answer: -132*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 444 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -5*x**3\/3 - 3*x**2\/2 - 4*x - 75. Let c(o) = -o**2 - o - 1. Calculate 4*c(s) - f(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**3\/6 + 33*i**2\/2 + 2*i + 4. Let g = 28 + -14. Let v be y(g). What is the highest common divisor of 152 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 2ea65?\nAnswer: 2ea64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14857 divided by 83\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Suppose 2*c = -2*u + 6, 6*c = 2*c. Suppose u*m + 2 = 4*m. Let y(p) = 1 - m*p**2 - 1. Determine y(n(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 186.3.\nAnswer: 186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 + 4493 + 3877 = 262*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**2 - 7*a**2 - 7*a**2)*(31 + 5*a**2 - 31).\nAnswer: -140*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3\/3 + 26*h**2\/3 + 4*h = 0. What is h?\nAnswer: -6, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 46*j + 4 - 258*j**3 + 270*j**3 + 0.\nAnswer: 12*j**3 + 46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 8:54 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.92 - -0.08. What is the closest to -2\/9 in -3\/7, 1\/11, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 + 6)*16\/10. Calculate the common denominator of b - -7 - 81\/66 and -51\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26879483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37284149 to the power of 1\/2, to the nearest integer?\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d + 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000860076 rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38276 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*t**3 + 3*m**3 - 14*m*t**4 + m*t**2 - 20*m*t + 3*t**3 wrt t?\nAnswer: -18*m**3 - 336*m*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q - 9. Let m be w(6). Let n be (8\/(-6))\/(-4) - 152\/(-228). Sort m, 4, n, 3 in ascending order.\nAnswer: m, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 684*m*t**3 - 622*m + 22*t**5 + t**2 + t + 6 wrt t.\nAnswer: 4104*m + 1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -87\/341, -9\/8?\nAnswer: -87\/341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41926?\nAnswer: 2, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/19)*q)**(-43\/4)*(q*q\/q**(-1\/20))**0 assuming q is positive.\nAnswer: q**(-387\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408 by -34.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyynnynyyn. Give prob of sequence nn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.23 = -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*272\/2448?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1619581 - 7587181. What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212432 divided by -26554.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 165132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 832459 and 0.09446?\nAnswer: 832458.90554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -341453.5 rounded to the nearest 1000?\nAnswer: -341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2768, 5528, 8286, 11042?\n\"Answer: -n**2 + 2763*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60309 times 11?\nAnswer: -663399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -2\/7 in decreasing order.\nAnswer: 23, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*a = 0, -g + 17 = -2*a + 5*a. Suppose g*o - 5 = 5. Suppose -3*p = x - 4, -o = 5*p + 4*x - 4. Do 2 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1581\/5509 + (-6)\/21. Let p = -604661 + 604661. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11\/(f\/(f**(1\/15)\/f))*f**17\/(f\/(f**(7\/3)*f)) assuming f is positive.\nAnswer: f**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -34, -75, -142, -241?\n\"Answer: -a**3 - 4*a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**7 assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11133*l**5 - 837*l + 6.\nAnswer: 222660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13398)\/(-348)*(11\/(-11))\/(14\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 167051232*l**2 - 1744132132044864*l.\nAnswer: -4*l*(l - 20881404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyyd when four letters picked without replacement from {d: 4, y: 2, c: 4}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 5. Is (d\/(-4))\/(-3) + 585\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**8\/504 - 8*t**7\/315 - 4*t**6\/45 + 48*t**2. Solve l(h) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 0.5, -1\/3, 4\/3, -5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -23, -1, 43, 109?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210.9 + -211. What is the biggest value in -2\/3, -13, r, -0.016?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13 = i, 3*i - 5*o = -0*i - 6. Let x(u) = u**2 + 3*u + 9. What are the prime factors of x(i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7439209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 176*z + 2489. What is q(-12)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -7, 1301 in increasing order.\nAnswer: -7, 1, 5, 1301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-12) + 3 - 3437\/(-28). Let i = 125 - u. Let v(w) be the first derivative of w**3\/3 - 3*w**2\/2 - 2*w - 1. What is v(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -49*n**5\/20 + 16*n**3\/3 - 12*n. Find the second derivative of w(h) wrt h.\nAnswer: -294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 7*k - 5*k + 0 + 4*k + 0 + (5*k - k - 3*k)*(-2 + 2 + 1))*(-1 - 7 + 3) to the form c + n*k and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + (5 - (-9 + 34 + -6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/7 + 6*f**4\/7 - 2*f**3 - 22*f**2\/7 + 12*f\/7 + 16\/7 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1076 + 613. Let j = -492 - q. Which is the nearest to j? (a) -5 (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955502420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 29*d - 13. Let t be b(-15). Solve -3*s = t*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**8\/6720 + j**7\/2520 - j**6\/360 - j**4\/6 - 6*j. Let y(p) be the third derivative of d(p). Let y(l) = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 1 + -6 + 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103457190?\nAnswer: 2, 3, 5, 3448573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -114. Calculate the common denominator of 6\/h*(0 + 3\/9) and 74\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.388 and -137190.\nAnswer: 53229.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*q = -6, 3*q - 10 - 2 = 3*w. Let j be (-2 + w\/(-15))*2\/(-5). Determine l, given that 0*l**2 - j*l + 0 + 2\/3*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - (-224)\/21) + -2. Which is the closest to -0.1? (a) 0.1 (b) l (c) -1\/24 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5855692 + 34144293 = 5*n - 5*f, -2*n - f = -16000003. Round n to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16432995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4 - n. Let p(a) be the first derivative of 0*a + 1\/2*a**2 + 29. Calculate p(z(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003887 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 - x**2)*(x**2 - 3*x**2 + 6*x**2) + (-x + 2*x + x)*(-x + 2*x**3 + x) - 3*x**4 + 6*x**4 - x**4.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3)*2\/8. Let c = 0.433 - -0.127. Let w = 0.6 - c. What is the smallest value in 5, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 13 + -10 + -19 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 7330*h - 3 + 7333*h)*(-2 + 5 - 2)*(0 + 4 - 2).\nAnswer: 6*h - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27\/10 - 209\/70. Let m = 1.41 - 1.81. What is the closest to w in -1, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23642909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - 0.5. Let t = 2727.7 - 2615. Let j = t - 113. Sort k, j, -1\/23.\nAnswer: k, j, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/13 and 99\/28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 168 = -200. Let n be 11 + u + -1 + (0 - 0). What is the greatest common factor of n and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321*f**2*k**3 + 199*f**2*q + 11*f*k**3*q + 10*f*k**2 - 160*f*q wrt f?\nAnswer: 642*k**3 + 398*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1473 and 849?\nAnswer: 416859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**6\/30 + s**3\/2 - 5*s. Find the second derivative of b(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314856103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64256 (base 9) in base 11?\nAnswer: -29a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*z**2 + 1127*z**2 + 333*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 4*v + r, 4*v - 2*r = 2. Let b be 2 + -1 + 21\/(-24). Sort 0, v, b in decreasing order.\nAnswer: v, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-3 - (-26)\/4). Find the third derivative of i**3 - i**3 - 5*i**2 - 3*i**5 + x*i**2 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(z + 0*z + 2*z) - 3*z + z + 13*z + (2*z - 2*z + 2*z)*(-4 + 1 + 5))*(-5*z - 5*z**2 + 5*z).\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - o)*(-3224 - 3235 - 2*o**2 + 6457 - 1305*o) as r*o**3 + a + d*o**2 + x*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87878973*a**2*n**3 - 61115960*a**2*n**2 wrt n.\nAnswer: 527273838*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09888 less than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let q be -2 + 7 - (k - -2). Suppose 2148 + 2197 = q*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1497943?\nAnswer: 13481487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 22*i**2 - 19*i + 29. Calculate s(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 + 1)*(-6 + 3 + 1)*(14*m + 3*m - 7*m)*(-8*m**3 + 4*m**3 + 11*m**3) as p*m**4 + y*m**2 + f*m + i*m**3 + z and give p.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4458 is divided by 214?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let y(j) = -48*j**2 - 43*j**2 + 90*j**2 + 2*j. What is -3*r(a) - 2*y(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455287519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2018\/243697?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 671 = -851. Does 32 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -49*v + 30. Let a be j(-24). Is a + 5 + -2 + -7 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)\/s)\/s**(2\/11))**(3\/2)\/((s*s**9*s*s)\/s**3*s*s**(-1\/3)\/s*s**(-1\/7)) assuming s is positive.\nAnswer: s**(-10207\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11843.743 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 155523.\nAnswer: -23\/155523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 - 82. Let a = -1 - -114. Let j = a - y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992114122 is divided by 343.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y + 454855. Let d be b(0). Let m = -324155 + d. What is m rounded to the nearest 1000?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.471 + 0.071. Let p = q - -7. Let d = 0.3 - 0.6. Which is the third smallest value? (a) d (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20261.\nAnswer: 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/12)\/(1\/12). Let m = f - 18. Let g be 2 - (-1 + 30\/m). Put -2, g, 3 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 21 = -3*a. Suppose -3*p + 18 = 3*g, -p + a + 6 = 3*g. Calculate the remainder when 18 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6780 and 6083694?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) -0.4 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Let t(o) = 27280*o - 137902*o - 96879*o + 1 - u. Let p be t(-4). What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j - 51*j = 24*j - 62*j - 7440 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 6d5974d?\nAnswer: -6d5975a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 66*w - 71*w - 16, w - 4*k - 32 = 0. Is w at least -68\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 - l**2 + 0 - 1 + 3*l. Let n be j(1). Let f(m) = -m**2 - m + 2. Let t(r) = -1. Give n*f(a) + 2*t(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 - 5*c**2*l**2 + 10*c*l - 5*c - 513*l**2 - 2*l - 1 wrt c?\nAnswer: -3*c**2 - 10*c*l**2 + 10*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(735)\/sqrt(5)))\/(sqrt(36)\/sqrt(2) - ((1*sqrt(24))\/sqrt(12) + sqrt(2))).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -326 + 331. What is the remainder when 16 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 5485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1270772869 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(833))**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/33)*m*m\/m**(-11))\/((m*(m**(-5\/9)\/m*m)\/m*m)\/m**(1\/14)) assuming m is positive.\nAnswer: m**(17585\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-9)\/24)\/1)\/(24\/(-6800)). Let r = -106 + q. Suppose 4*v = 2*v - 2. Which is the second biggest value? (a) v (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.935 to two dps.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 - 59 + 21 - 2*c + (2 - 4 + 1)*(2*c - 2*c + 2*c).\nAnswer: -4*c - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1898, -7585, -17034, -30245, -47218, -67953?\n\"Answer: -1881*v**2 - 44*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(125) + -4)**2.\nAnswer: -450 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-1)))**(-1\/10))**(-18))**(2\/83) assuming l is positive.\nAnswer: l**(-18\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6868674 and 6.\nAnswer: 6868674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45850.776 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33708, -134734, -303110, -538836?\nAnswer: -841912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -4*k + 18. Suppose 2*z = -3*f + 115 - 25, 0 = 2*f - 5*z - 41. Let y = k - f. Solve 0 = r + 5*j + y, -2 + 4 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(72) + sqrt(252)\/sqrt(225).\nAnswer: 16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1800 - ((-4)\/10)\/((-196)\/(-245)))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -33. Suppose i - 21 = -c. Suppose -4*f = -36 - i. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*f + 180 = 0, 6*f - 3*f - 928 = -5*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181 + 34*y**3 + 1176*y - 1174*y + 177 to the form f + m*y + a*y**3 + i*y**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 89. Let v(u) = u**2 - 151*u + 3067. Let c be v(24). Calculate m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24005285.\nAnswer: 5, 4801057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 201156000 rounded to the nearest 100000?\nAnswer: 201200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 - 2*n - 5. Let i be q(4). Suppose -75 = -i*k + 18. What is the smallest common multiple of k and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + 49\/28. Solve a + 4 = 2*q, -2*a + 7*a - 4*q = -g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923737442.\nAnswer: 2, 31, 67, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 - 2 + 46*y**2 + 87*y**2 - 151*y**2 in the form v*y + k*y**4 + t*y**3 + d + b*y**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 374*n**3 - 744*n**3 - 160*n - n**2 + 373*n**3 as k + h*n**2 + l*n + m*n**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d - 17*d - 30*d + 63*d - 19*d - 9*d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144442802*s - 27057181 wrt s.\nAnswer: -144442802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46\/5 of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 19*l**2 - 2*l + 17. Let u be k(19). Is (-3118)\/(-14) - (0 + 6\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870158 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -45, -25, 11, 69, 155, 275, 435?\n\"Answer: x**3 - x**2 + 6*x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*w + 872*w - 132 = 1741*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -7\/9, 704, 1\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -559139536 divided by 4\nAnswer: -139784884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4681041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298999452?\nAnswer: 2, 3, 179, 139199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (6 + 1 + (20 - 9) - 10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = -t + 5*t, -24 = -t + 5*q. What is the tens digit of 27 - (3 - 1 - t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3 - 27. Let r be b\/30 + 62\/10. Suppose 2*l + j = 36, 0*j + 36 = 2*l - 5*j. What is the greatest common divisor of l and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, u: 1, l: 1, x: 1}. What is prob of sequence ul?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-23 + 3)) + (-16 - -14) - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-5)\/25 + 10\/(300\/(-18)). What is the second biggest value in -15, 0.3, 0.2, z, -1.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309952?\nAnswer: 2, 3, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -67. What is the units digit of -80 - -81 - (-200 - 0\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*p - 4*j**2 - 6*j - 125*p with respect to j.\nAnswer: -6*j*p - 8*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -88.34. Let i = -58951.66034 - -58951. Let b = p - i. Round b to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 186*o**2 - 9*o + 1. Let j(l) = -187*l**2 + 12*l - 1. Determine -4*b(a) - 3*j(a).\nAnswer: -183*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1271 and 31.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2129*j + 5*p = -2127*j - 2, 4*j = -4*p - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -39*b**3 - b**2. Let d be q(-1). Calculate the greatest common divisor of d and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5 - 196*n**4 + 1676*n**3 - 4556*n**2 + 1056*n + 7488 = 0 for n.\nAnswer: -1, 3, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(4*(-2)\/(-8))*5. Let h be (55\/(-132))\/(1\/(0 + -10)). Does t = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkgvvub. Give prob of picking 1 b, 1 u, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/107388 and -31\/11590.\nAnswer: 32753340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:57 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (4 - (-7 + 14))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -39, -55, -71?\n\"Answer: -16*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 32*h**2 - 29*h - 6. What is p(-33)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + y - 2*y)*(4 - 4 + 1)*(4*y - 2*y + y)*(5 - 3 + 1 + 2 - 2 - 1 + (1 + 3 - 2)*(2 - 1 + 1) + 6 + 0 - 4) to the form w*y + d*y**2 + v and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169021630 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(9)\/sqrt(3)*5 - (sqrt(3) + (sqrt(3) - (2 + 0 + sqrt(3))))) - (sqrt(3) - (4 + sqrt(147))**2 - 2*sqrt(300)).\nAnswer: 55*sqrt(3) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = -5*r, -6*r + 3*r + 11 = -5*y. Suppose -116 = -5*i - 4*c, r*c = i + c - 25. Suppose i - 224 = -10*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j - 475426. Determine i(688).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wabbbbbhhbbhbhibh. Give prob of picking 1 i and 1 b.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 times -18?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzii when four letters picked without replacement from kkfkkizftkiizztkkfz.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.4 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*v - 0*v + 5*r, 3*r = 5*v + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 4 = k - 5*l, 4*k - 5*l = 37. Let m = -3 + 8. Calculate the remainder when k is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 2, -0.1, -0.1322, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1729, -3458, -5187?\n\"Answer: -1729*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 45251405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + a13808d?\nAnswer: a138090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.93 - -28.63. Let y = n + -18. What is y rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b + 106 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d - 2*d + (-2*d - d + 4*d)*(1 + 2 - 1) - 16 + 20 + 13 - 8*d in the form p + n*d and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*c - 17. Let v = c + -8. What is the greatest common divisor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 56536*i - 56540.\nAnswer: 4*(i - 14135)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -93428.3 to the nearest one hundred.\nAnswer: -93400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31100101133 (base 4) to base 2\nAnswer: -1101010000010001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/189210 and 137\/1470.\nAnswer: 1324470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 37*t**4\/2 - 3*t**2\/2 + 5067. Let f(s) = 111*s**3 - 5*s. Determine 5*f(a) - 8*z(a).\nAnswer: -37*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8589 = 21*r - 130137. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 2*f - 1. Let z be b(1). Let h = z - -5. Let j = h - -10. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7863 - 17249. Let o = g - -243995\/26. Find the common denominator of 1\/8 + (1 - 1) and o.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*d - 463 + 627 = -844. Solve d*r + 8 = 10*r, 32 = -4*t + 3*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwccwwcccww. What is prob of picking 2 c and 2 w?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/24 + g**3\/3 + 15*g. Let l(d) = 0. Calculate d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 4)*(-4*c - 3*c + 5*c) + 2*c - 3*c + 4*c + c + 4*c - 3*c)*((-c + c + c)*(-c**2 + 3 - 3) - c**3 + c**3 + 2*c**3).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 976545108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 3:14 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 2625977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3115 = 25*g - 7990. List the prime factors of g.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 316319 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3463 + 3523. Calculate the least common multiple of z and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 96760*b + 96762.\nAnswer: -2*(b - 48381)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*n**3 - 2*k**2 - 669*k*n**3 + 11619*n**3 wrt k?\nAnswer: 4*k*n**3 - 4*k - 669*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 25*x**7\/14 - x**3\/2 - 10*x**2 - x - 28. What is the second derivative of f(c) wrt c?\nAnswer: 1500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by -12.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 55*p**3 + 15*p + 22. Let y(c) = -28*c**3 - 7*c - 11. Let k(i) = -4*m(i) - 7*y(i). Let a(x) = 5*x**3 + 2*x + 2. Determine 11*a(b) + 2*k(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = 4. Let f be ((-2)\/v)\/((-3)\/(-24)). Is 10 a factor of (42\/(-4))\/(3\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 0.6.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92308.39 and 183427.\nAnswer: 275735.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11794322 divided by 2.\nAnswer: -5897161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.009 (c) 1 (d) 0 (e) -1 (f) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y - 97*y = 129*y. Let x(r) = -r**2 - 6*r - 3. Let k be x(-6). Sort y, 7, k.\nAnswer: k, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*y + 90, y + 3*y - 172 = 5*a. Is a\/(-2 + 1) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 184 = 3*n - 315, -4*q + 73 + 48 + 84 = 5*n for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 504519 or 504479?\nAnswer: 504519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/20)\/(96\/80) + 0. What is the third smallest value in v, 0, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12363716 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12292, -12328, -12364, -12400, -12436?\nAnswer: -12472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -12*v + 0*v**2 + 0*v**3 - 9\/40*v**5 + 1\/8*v**4 + 0. Factor b(r).\nAnswer: -3*r**2*(3*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*f + 4*j, 4*f - 2*j = -3*j + 42. Suppose i + 12 = 2*i. Let r = f + i. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10675 - -10671. Let t(d) = 2*d**2 + 11*d + 2. Determine t(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v + v**4 + 0*v**2 - 2*v**4 + 0*v**2 + (4 - 4 + 2*v**2)*(v**2 - 2*v**2 + 3*v**2) + (-13 + 3 - 6)*(0*v + 4*v**4 + 0*v).\nAnswer: -61*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96785725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 206344095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.078? (a) 0 (b) -4 (c) -2\/21 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16361?\nAnswer: 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*r**4 - 3*n*r**2*s**3 - 11*n*s - 3*r**6 + 1449*r**3*s**3 - 12*r**2*s wrt r.\nAnswer: 48*n*r - 360*r**3 + 8694*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8491, -8485, -8475, -8461, -8443, -8421, -8395?\n\"Answer: 2*i**2 - 8493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 28 + 120. Let g = -14 - o. Suppose -s - g = 4*w, 0*s + 12 = 5*s + w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343 - 77. Let w = i + -263. Solve 4*y + 36 = 4*j, 0 = -7*j + w*j + 3*y + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 6. Let c be k(8). Let v = c + -3. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w**3 + 4 - 260*w - 8*w**3 + 15*w**3 + 258*w to the form q*w**2 + t*w + u + a*w**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12049*g**2 + 6014*g**2 + 6149*g**2 - 3*g as z*g**2 + f + m*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65322.\nAnswer: 2, 3, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 56 = 5*c. Let v(j) = 1. Let a(b) = 2*b + 12. Let n(l) = -2*a(l) + 18*v(l). What is the common denominator of 15\/2 and n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127.389 + 1254\nAnswer: 1126.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 9 - 207*z - 15 + 4 wrt z.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 9*r + 11*r = -0*r + 550 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - v**4 + 6*v**4)*(4 - 2*v - 4)*(-5 + 0 + 4).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 13*k - 6. Let x be r(9). Suppose 4*w + x = 10*w. Suppose w*v = -48 + 228. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023468277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 - (-8 - (3 + -13 + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*x = 5, -3*g - 2*g = 2*x + 12. Let d be -4 - (3 - 5 - g). Is -4 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23090 and 249542866.\nAnswer: 4618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231.2536958722 - 0.2537231722. Let a = w - 231. What is a rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 2*p - p + 0*p. Let n(s) = -2*s**3 - s. Let z(f) = -2*i(f) + 5*n(f). Find the second derivative of z(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 3*y**2 + 6 + 12*y**2 + 6 - 4*y**2 in the form c*y + a*y**2 + w and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8298643 to three decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, -215, 315, 0, -1 in ascending order.\nAnswer: -215, -1, 0, 2, 28, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3856*x - 7037*x - 5083*x.\nAnswer: -8264*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 20. Let x(i) = h*i + 3*i + 0*i - 5*i. Let o(w) = -w**2 + 6*w - 1. Let c be o(6). Give x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:26 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 37*y**2 + 4*y - 121. Give m(37).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**2. Let k(h) = 2*h + 2. Let v(f) = -3 + 0 + 4 + 0. Let s(n) = k(n) - 2*v(n). Give q(s(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/(-532))\/(6\/14)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*b**2 + 30*b**2 + 12.\nAnswer: 22*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -163880 divided by 2?\nAnswer: -81940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 1804*g - 1808.\nAnswer: 4*(g - 452)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1)**(-1\/2)\/((n\/(((n*n**(6\/5)\/n)\/n)\/n))\/(n*n**5*n*n)))**40)**(5\/7) assuming n is positive.\nAnswer: n**(1140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1709*n*z**3 - 30*n*z**2 + 11*n*z - 66557*n - 105*z**3 - 5*z**2 + 195*z + 1 wrt z.\nAnswer: -10254*n*z - 60*n - 630*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -250, -1\/84?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 20 = -5*y. Suppose 0*c = -y*d + 4*c + 1769, 2*d = c + 707. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5\/3 - 39*s**4 - 1773*s**3 - 31163*s**2\/3 + 113746*s + 122400 = 0.\nAnswer: -25, -16, -1, 6, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1329, -10625, -35873, -85047, -166121, -287069?\nAnswer: -455865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 4. Let l(c) = c**2 - 6*c - 10. Let b be l(p). Sort 3, b, 2 in decreasing order.\nAnswer: 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 + u + 4. Let x be r(-7). Let v be 104*(3\/(-2))\/x. Suppose -v = -2*d - 0*d. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493392050 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*o = 650, -n = n + 3*o - 260. Suppose -4*f - 20 - 14 = -2*x, 5*x - 3*f = 78. Calculate the smallest common multiple of n and x.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 28 = 4*u + 2*p, 3*p - 24 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 w, and 1 t when four letters picked without replacement from wwswwwwowwwsotots.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15275 = -109*n - 12114 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 divided by -236?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 336*t + 1599. Let h be u(111). Solve h - 1239 = 9*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -90 and 141.7.\nAnswer: 51.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10) - (-1)\/5. Suppose 0*v + 3*v - 84 = l. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-234)\/120)*(-10)\/(-4). Which is the nearest to 1? (a) 0.5 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -27. Let j = -0.5 - -3.5. Which is the third smallest value? (a) f (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 + 16*g - 6 - 2*g**2 + 5*g**2 - 4*g**2. Let o be u(14). What is the tens digit of o\/4*80\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*j = 160*j - 165885. List the prime factors of j.\nAnswer: 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2. Suppose 4*z = -2*c - 20, 2 - 12 = -t*c + 2*z. What is the units digit of c + (3*4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46265542 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 564 = 2*u - 16*u. What is the greatest common divisor of 35720 and u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -45.000029. What is q rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 3. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809166 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (0 - -1))\/(2\/3). Let o = 53 + -27. Suppose 15 = -i*s, 2*s = 3*x - x - o. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 17. Let k be f(-10). Let z be -4 - k - (-3)\/(-1). Which is the second smallest value? (a) 3 (b) -4\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -7*t + 39. Let a(o) = -t*o**2 + 24*o**2 + 7 + 0 - 5 - 3*o - 12*o**2. Give a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 37 = -m, -16*m + 23*m = 27*m + 5*f - 110 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 9*o - 1. Let n(z) = -2*z - 9. Let y be n(4). Let g be y*(-4 - 2*1\/(-2)). Suppose 5*v = -g + 6. Determine w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162078.\nAnswer: 2, 3, 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -33*i - 103. Let c be f(-3). Sort -46, c, -1 in descending order.\nAnswer: -1, c, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d + 3*d. Suppose 10*z - 8*z - 8 = 0. Let k(h) = 3*h - 4 - z*h**2 + h**3 + 2 - 2*h**3 - 4. Calculate k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028063548 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8210693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -729\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = -2. What is the second smallest value in -3, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1864 and -13\/13048?\nAnswer: 13048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*j + 118*j = -3*k + 16, 5*k + 8 = 2*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232684?\nAnswer: 2, 58171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*u + u = 24, 22 = 2*j + 2*u. Let t(y) = y**2 + 6*y + 7. What is the remainder when j is divided by t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(2 - (-51)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 4*t**2 - 3*t**2 + t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose j*i + 21 - 336 = 0. Let l be (-3)\/(-12) - i\/(-4). Solve -3*z = x - 2*x + l, 5*x + 3*z - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/94435 and 139\/66?\nAnswer: 566610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*w**3 + 97*w**2 + 658*w**3 + 649*w**3.\nAnswer: 3*w**3 + 97*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(363) + (sqrt(363) + -2*sqrt(363) + sqrt(363))**2)*-1 + 3.\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) 6 (d) 46363\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2*i + 1 + i**2 - 2*i + i - i**3. Let c(y) = 8*y**3 - 50*y**2 - 235. Let g(f) = -c(f) - 6*m(f). Differentiate g(q) with respect to q.\nAnswer: -6*q**2 + 88*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9))\/(2\/51). Let o = p - -23. Suppose -5*m + 25 = -2*b, -15 = -3*m - 2*b + 4*b. What is the remainder when o is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrrrraarrarrr.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -133*n**2. Let p(y) = -3*y. Determine p(z(v)).\nAnswer: 399*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(10\/540). Let k(o) = o**3 - 4*o**2 - o - 4. Let j be k(3). Let q = j - u. Calculate the smallest common multiple of 4 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, x: 3, v: 5, l: 3, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from boor?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6023 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 388. Let l = 400 - d. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(2057)*1*-3 + -3 + sqrt(2057)*1)**2 + -3.\nAnswer: 264*sqrt(17) + 8257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/9))**(9\/4)\/(w**7\/(w**(-5)\/w)) assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 10:30 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.927 - 16. Let i = -11.927 + n. Which is bigger: i or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose 0 = 4*v + 3*u - s*u - 18, -4*v - 4*u + 8 = 0. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332741 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, -3, -5, -0.1, -1\/38, 45\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -416215, -1664841, -3745877, -6659329, -10405203?\n\"Answer: -w**3 - 416199*w**2 - 22*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 39 + 11*c + 13*c**2 - 1 + 22*c - 7 - c**3.\nAnswer: -(c - 15)*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2341 (base 5) to base 9.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42898851.\nAnswer: 3, 4766539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12997 + 12997.4. Let s = 2\/13 + 12\/91. Let m = -5 - -4.6. What is the closest to s in -4, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8157738 millennia to years.\nAnswer: 815.7738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 673433839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 62. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyhjhyyyyjyyhyhh. Give prob of picking 2 y and 1 h.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -15?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 177*d**3 + 5*d**2 + 5*d - 31. List the prime factors of y(3).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 612*t**2 - 87510*t - 834. Determine j(143).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.41 + -1.41. Let j = -2 + 0. Let k = j - 3. Which is the smallest value? (a) p (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -0.05, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 10*s**2 + 81*s - 400. What is k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -52. Suppose 3*b - 1771 + 477 = 2*v, 4*b + a*v - 1714 = 0. Suppose -5*n + 0*n = -b. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30776 divided by 1?\nAnswer: 30776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -289.0014 - -289. Let m = -0.0014108 - f. What is m rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248485840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 162*w - 1101. Let o be m(46). Let x(y) = 15*y + 3. Let u(f) = -180*f - 35. Give o*u(g) + 35*x(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*q + 2 + 17, -3*q = -5*m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/4 + 65*u**4\/12 + 30*u**3 + 1924*u. Factor j(q).\nAnswer: 5*q*(q + 4)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-225)*(-495970)\/2*(-1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/9939648 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 57 = k, -354*k = -357*k - c + 122. Solve 8*m = k - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126)\/15 + 2\/5. Let p be b\/(-44) - (-7256)\/22. What is the common denominator of 23\/5 and 3\/(p\/56 - 3)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 120. Suppose -2*f - 5*l + a = 0, -5*f + 2*l - 17 = -59. Is 8\/f + 26\/5 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 155 = 4*l, -4*d = -3*l - 190 - 335. Suppose -6*m + 3*m + 81 = 0. What is the highest common divisor of d and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533681 is divided by 7412?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 100.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97189740.\nAnswer: 2, 3, 5, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 16776?\nAnswer: -23486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 8\/5. Let z be (-2 - -6)*315\/(-120). Let s = m + z. Which is greater: s or -9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14533, -29044, -43555, -58066, -72577, -87088?\nAnswer: -101599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2 + 4*z. Let n(g) = 14*g. Calculate n(q(k)).\nAnswer: -112*k**2 + 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2 + 44?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.6273*0.012.\nAnswer: -0.1035276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 40, 50, 64, 82, 104?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 - 151. Let r(m) = -2*m**2 - 50. Let l(w) = 11*r(w) - 4*z(w). Let h(x) be the first derivative of l(x). Let a(c) = -13*c**2. What is a(h(f))?\nAnswer: -208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5300)\/(-6)*(-5 - (-12 - -4)). Suppose -10*i = -9*i - 5, 0 = 5*h + 4*i - v. Round h to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 984*u - 15841. Give f(-16).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - 3*p**2\/2 + 2*p - 16. Let l(y) = -6*y - 16. Give 3*l(x) - 16*t(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/5 - 387*q + 903114\/5 = 0. What is q?\nAnswer: 786, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round -40844.35371 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 83*x**3 + 3*x**2 + 2*x**2.\nAnswer: -83*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*v + 100 - 100)*(v**4 + 1 - 1).\nAnswer: -30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/12*(-57)\/(-76)*(-52)\/(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -26, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 2*c. Calculate m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7925418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {g: 2, u: 4, k: 5, q: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 666 - 887.5. Let i = c - -221. Put i, 4\/5, -28, 4 in descending order.\nAnswer: 4, 4\/5, i, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 34*q**2 - 75*q - 19. Determine k(14).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -898002?\nAnswer: 897bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i + 10769 - 3489. Let y = -463 - i. Let n(d) = -d**2 - 9*d - 11. Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.623 + -0.377. Let y be (((-9)\/2)\/3)\/(-1). Which is the second smallest value? (a) u (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 2, c: 3, d: 1}. Give prob of picking 1 c, 2 p, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 0.3, -7\/2, -3, 1\/2 in increasing order.\nAnswer: -127, -7\/2, -3, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7\/42 + b**6\/15 - 27*b**5\/20 - 9*b**4 - 18*b**3 - 581*b. Factor y(t).\nAnswer: t*(t - 6)*(t + 2)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*y - 15 = 928*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1504.699 litres to millilitres.\nAnswer: 1504699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893?\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -225, 1\/5?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1980 divided by -495.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/8))\/j**2*j**(-32)*j*j**(-2\/25)*j assuming j is positive.\nAnswer: j**(-6291\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z**(2\/3)\/z)\/z)\/z*z)**25)**(-38) assuming z is positive.\nAnswer: z**(950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 1075958999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 + 15\/(-6))*(-5)\/(-2))\/((-36255)\/4834). Factor 0 - 1\/6*b + z*b**2.\nAnswer: b*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/7 - 93*c**2\/7 + 293*c + 2145\/7 = 0.\nAnswer: -1, 39, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110004 and 25132.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/4800 and -97\/1170150.\nAnswer: 37444800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/(3\/(-30)). Let h(n) = -n**3 - 5*n**2 - 2*n - 7. Let b be h(g). Suppose b*r - 4 - 20 = 0. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 3046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -420, -5 in descending order.\nAnswer: 2\/9, -5, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-18))\/(0 - 3\/(-18)). Let v(u) = -7*u - 1. Let c(s) = 6*s + 1. What is m*c(a) - 2*v(a)?\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/3 + 2\/6. Suppose 0 = s*l - l + 3*o - 14, 0 = -4*o - 8. Suppose l = -d + 45. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-6)\/(-48))\/((6498\/12)\/19)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 71*k**2 - 15*k - 72. What is g(-18)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467941075?\nAnswer: 5, 7, 439, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8432 and -0.01?\nAnswer: 84.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59171714939353 - 0.3?\nAnswer: 59171714939352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194768684, -194768682, -194768680, -194768678, -194768676, -194768674?\n\"Answer: 2*m - 194768686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -4*h**2 + h + 5. List the prime factors of t(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let k(n) = 102*n - 2. Give 12*h(g) + 6*k(g).\nAnswer: 612*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*v**3 - 58*v**2 + 58*v**2 + (v**2 + v**3 - v**2)*(-2 + 3 + 0 - 3 - 4 + 6 + (1 + 3 - 2)*(2 - 2 + 2) - 1 - 2 + 2 - 1 + 4 - 1).\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 27?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (-75)\/(-10)*2*(-2 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*u - w = -1546*u + 17, 3*w - 5 = u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/9, 365, -4, 0, 11, 2 in decreasing order.\nAnswer: 365, 11, 5, 2, 0, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 13, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Suppose 2*k + n*y = 46 - 12, -3*y + 12 = 0. What is the highest common factor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))\/v)\/v)**(7\/6)\/(v*v\/(v*(v\/(v**(4\/9)\/v))\/v)*v)**14 assuming v is positive.\nAnswer: v**(-203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 + 44*o**3 - 388*o**2 + 340*o = 0.\nAnswer: -17, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -49475 minus -0.05?\nAnswer: -49474.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108\/(11\/11) - 5 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.026 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-4582)\/116 - -40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -225, -378?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 111. Let u be ((-984)\/(-820))\/((4\/(-55))\/p). Which is greater: -39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 - -123.921. Let j = c + 60.079. Let i = j - 60.1. What is the nearest to i in -4, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67792.\nAnswer: 2, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3266 - -0.318315. What is x rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (-5)\/((-35)\/28). Solve 3*w + 5*x = 7, -7*x - 2 = -k*w - 10*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 1. Let i be p(4). What is the first derivative of -i - 10*y**2 - 4 - 1 wrt y?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q = -58*q - 1029. What is the highest common factor of 63 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 55 + 7. Let u = l + -30. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 8. Let z be t(8). Let o = 69 + -67. Let n(d) = -d**o + 122*d - d**3 + 3 + 113*d - 234*d. Calculate n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135300 divided by -1353\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10217\/4 - 2567. What is the common denominator of x and -93\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036.9 + 0.111?\nAnswer: 2037.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 62760 = -63*k - 20*k. Which is greater: 504 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and 0.03138402?\nAnswer: -0.0081598452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35486374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 30, 40, 52, 66, 82?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -8, 2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {o: 4, y: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b - 14. Let l(n) = -3*n + 5. Let i(h) = 14*l(h) + 5*r(h). Let k(j) = 2*j**2 + 3*j**2 + 3*j**2 - 4*j**2. Calculate i(k(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 2\/3 (c) 2324 (d) -16 (e) 0.1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 2, k: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 2*n - 3 - 28*n**3 + 3 + 4*n**4 + n**3 to k*n**4 + i*n**2 + m*n + u + c*n**3 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 391 - -137. Let d be (-1)\/12 + (-5301119956)\/a. What is d rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)*-1 + 65\/13. Let x(r) = r. Let y(p) = 2*p**2 + 8*p. Let g(h) = a*x(h) - y(h). Find n such that g(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.4 - 7.9. What is the closest to 0.14 in 2\/9, c, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 56 + 39. Let f(r) = c*r**2 - 8*r**2 + 5*r**2. Let d(x) = -57044 - 2*x + 57044. What is d(f(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + b. Let a be d(-2). List the prime factors of 4\/a + (-13)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -63124465?\nAnswer: 63124463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -0.0895217726.\nAnswer: -10.0895217726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 4, -14, -44, -86, -140?\n\"Answer: -6*x**2 + 12*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 12. Solve -a = -3 + j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(-2*((-2 + -2*sqrt(208) - sqrt(208)) + sqrt(208)*-1*-3) + -5))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4 + 120*n**2 - 8*n**4 + 9*n**2 + 2*n**3 + 107*n**2 + 3*n**3 wrt n.\nAnswer: -240*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2786452, 11145719, 25077828, 44582779, 69660572, 100311207?\nAnswer: 136534684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d - 1. Let y(f) be the first derivative of -7*f**2\/2 + 109. Give 6*j(w) + 5*y(w).\nAnswer: w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 926 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-3)\/(-18)) + (-4606)\/12. Which is greater: -383 or q?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:22 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 - 91. Suppose 4*c - 12 = c. Calculate the smallest common multiple of z and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9632, -9628, -9622, -9614?\nAnswer: -9604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 38*u - 102. Calculate q(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w - 446 = -k - 35*w, -3*k + 1338 = 3*w. Let o = -404 + k. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 3, -9, -2 in decreasing order.\nAnswer: 3, -1, -2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110926 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**3\/2 - 7*g**2\/2 - 4*g. Let a be f(5). Let o(v) = -17*v + 2. Let n(y) = -6*y + 1. Give a*n(b) - 3*o(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + -1) - (3 + (7 - -10) + 21).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1599 - 2.1599. Let j = 25 - 151\/6. Suppose 10 = 2*v - 7*v. What is the nearest to l in j, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h*u**2 + 276*h*u - 2*h + 2*u**2 - 2*u - 311 with respect to h.\nAnswer: -9*u**2 + 276*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197156*g**3 - 98576*g**3 - 98574*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22255380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -376606886, -376606885, -376606884, -376606883, -376606882, -376606881?\n\"Answer: u - 376606887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456914 is divided by 65265?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -822 + 844. What is the remainder when 48 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463697 is divided by 6440.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(5) + -4.\nAnswer: -7 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 4*k - 3*k)*(69 + 18 + 10) to the form p + n*k and give n.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*w + 135, 2*w - 5*i + 190 = 7*w. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 0.408, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 10*p**2 - 2*p + 4. Let j be l(10). Calculate the remainder when (-31)\/(-2) + 5\/10 is divided by (-162)\/j - 3\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/l**(-16))\/l)\/l*l)*l*l\/l**15)\/(l**(2\/21)*l**(-1\/9)\/l*l*l*l) assuming l is positive.\nAnswer: l**(-1889\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z - 20. Let h be w(5). Let t = 22 - h. Suppose 0 = -n + 5, -2*n - 270 - 40 = -t*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 6. Let y be n(-7). Let b(m) = 10*m**2 + 15*m + 5. Let o be b(y). Round o to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/21*(-1799)\/(-771) + 116\/(-90).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*h + 156*h = -5288. Let i = -262 - h. List the prime factors of i.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - 0 - (121\/11 + -16). Let c(k) = -35*k**2 - 3*k - 9. Let w(z) = -34*z**2 - 3*z - 8. Let q(t) = 6*c(t) - 7*w(t). What is the tens digit of q(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 9*l - 6. Suppose -3*y = -7*y - 36. Let b be r(y). Are -7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1029*c**4 - 1027*c**4 + 4 - 2*c - 4 - 6*c**2 to the form f*c**3 + t + d*c**2 + k*c + o*c**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:09 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(6)*2 + sqrt(6)) + -1)*3.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Suppose 533*j + 30 = 528*j. Let d(q) = -2*q - 6 + 3 - 5*q. Let u(k) = j*c(k) - d(k). Determine u(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1840516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -45 (c) 2144086 (d) -2 (e) 0.2 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 + 9*k - 1. Let f be -31*1\/(-4) + 1\/4. Give y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617791 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42222 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18*-102\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 3*i, 3*c + 2*i - 23 = 2. Solve -4*k + 3 = -c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8308d?\nAnswer: -8308e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5501)\/4*180\/(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + -16 + 8\/40*15. Solve -14*g - 12 = -2*j - 16*g, 17 = w*j + 2*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 1, -1, -2 in descending order.\nAnswer: 4, 1, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhgh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 - p. Let f(y) = -2*y**2 - 2*y - 15. Let j = 1669 - 1671. Give j*l(o) + f(o).\nAnswer: -2*o**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -175 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55648599 to the power of 1\/2, to the nearest integer?\nAnswer: 7460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54810 divided by -6?\nAnswer: 9135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -46*f**3 - f - 1. Suppose -25 = 5*s - 5*t, -t = -4*s + 2*s - 6. What is the tens digit of u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-245)\/15)\/(-7) + (-2)\/(-3). Suppose -8*u + 20 = -4*u, -3*q - b*u - 65099985 = 0. What is q rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p*p*(p\/((p*p\/p**(3\/7)*p*p)\/p*p))\/p*p*p*p*p*p)\/p)\/(p*p\/((p**(-6)*p*p)\/p)))**44 assuming p is positive.\nAnswer: p**(-484\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.72552*-37.\nAnswer: -174.84424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 5*i - 396, -5*i + h = -393. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 237151 and 237145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69688*v**3 - 3*v**2 - 94*v - 2?\nAnswer: -418128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-8))\/((-1)\/(-20)). Let c = 24 - 10. Solve -2*d + 8 = y*t, 4*t - c = -2*d - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 10. Let w be g(-3). Suppose k - 16 = -w*k. Suppose 3*i + y - 7 = 0, -k*y + 5 = i + 11. Is i smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 + 3 - 1 + 0 + 3*m + 9*m**2. Let c(i) = i + 4*i**2 - 1 - 2 - 1 + 5. What is 5*c(r) - 2*k(r)?\nAnswer: 2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 38 - (-9 + 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let m(j) = 14*j**2. Let r(p) = 55*p**2. Let s(w) = 11*m(w) - 3*r(w). What is g(s(d))?\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 + -164. Let s be (-1116)\/108 - (-20)\/2. Which is the nearest to s? (a) 0.27 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/300 and 163\/330.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*k - 5 + 0*k.\nAnswer: 8*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -9, -13, -17, -21, -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 2705\/23?\nAnswer: 2705\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p - 20. Let j = 0 - p. Let q be 54 - -2*1\/2. Calculate the highest common divisor of j and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 179?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-464)\/24 - 5 - 10\/(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 39084574 = 39085276 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -203.34 times 11\nAnswer: -2236.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 46104817 - 140633813 = 0. Suppose 0 = 4*b - 2*g - t, -b + 9780450 - 443520 = g. Suppose 2*s = b + 3063069. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844300 rounded to the nearest ten thousand?\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + l + 50 + 2, -2*q + 3*l + 101 = 0. Suppose q - 55 = -7*f. Suppose -3 - 1 = 2*y. What is the nearest to 0 in -1\/3, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 3*m**2 + 0*m**3 + 0 - 1\/420*m**6 + 0*m - 1\/21*m**4 - 2\/105*m**5. Factor w(t).\nAnswer: -2*t*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 23 - (-171)\/12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 101*y**2 + 716*y - 300. Calculate d(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + (-385)\/28. Let m be 322\/a - 2*1. Let u = m + 25. Put -6, u, 3 in decreasing order.\nAnswer: 3, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7 - z**2 + 9 - 1 + 2*z**2. Let o(g) = -12*g**2 - 15. Let n(k) = -15*b(k) - o(k). Let f(l) = 22*l**2. Give n(f(d)).\nAnswer: -1452*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 436 - -1?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 11. Let h(b) = -b + 3. Let q be 172\/(-24) + 1\/6. Calculate the smallest common multiple of o and h(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 41 - 2*b**3 + b**2 in the form d*b**3 + g*b**2 + j + i*b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/2 - 234*s - 471\/2 = 0. Calculate s.\nAnswer: -1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111 (base 2) in base 12?\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t + 17*t + 601*t**3 + 10*t to the form n + g*t**3 + m*t + u*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 132 + 808. Let y = 188 - l. Solve -2*m + m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9607, -19256, -28893, -38512, -48107, -57672?\nAnswer: -67201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -2, -9\/7, 0.0499, 2, 4?\nAnswer: 0.0499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21 (b) -104 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*k - 4*y, -578*y + 581*y = k - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.26 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5449, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/7 - 27755538*u**2\/7 + 9171074080188*u - 18342132300072 = 0. Calculate u.\nAnswer: 2, 4625922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + 9*k**2 - 5. Let n(g) = 10*g**3 + 13*g**2 - 7. Let w be (-12)\/(-18) - 34\/6. Let v be (-7)\/3*(-8 + 5). Give v*r(q) + w*n(q).\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 21 = 4*i - 9, -4*i - 4 = 2*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*b - 409*b + 38280 = -165*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*y + 1, 8*r - 12*r = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -4 + 26 - (1 + 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0*n + 3*n - 21 = 0, 0 = -3*o + 4*n - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-24)*52\/(-910)*(-14)\/(-40)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 6 - 6 + 2*j - 4*j + 0*j + (-2 - 2 + 2)*(-j + 2*j - 3*j))*(-182386 + 182386 - 665*j**3) to r*j**3 + b + h*j + y*j**2 + k*j**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -38, 0.4, -6, -0.1, -0.10061?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 3*c + 4*c)*(-2*c**2 - c + 4*c - 2*c) - c**3 - 3*c**3 + 5*c**3.\nAnswer: -23*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -55.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 10:33 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:03 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 29\/6, -0.8, -2\/7, -12.8, 0.1?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79.9999698 - 80. Round k to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**4 + 6*k**2 - 2*k - 815. Let f(z) = 2*z**4 + z**2 - 3*z + 1. Let s(v) = -a(v) + 6*f(v). Differentiate s(u) wrt u.\nAnswer: -8*u**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823803.\nAnswer: 3, 17, 29, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 2*c**4 - 3*c**4 + 4*c**2 - 4*c**2 wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645808924?\nAnswer: 2, 3, 11, 1171, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/312*-1*(-3)\/((-45)\/(-340))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 6*b**2 - b - 13. Let q be h(5). Suppose 3*f + 272 = q*f. Round f to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + z + 16 - 9, 0 = o + 3*z + 13. Suppose -i + 2*l - 9 = -17, i - o = 4*l. Suppose -3*g - 46 = -211. What is the remainder when g is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3*b + 5. List the prime factors of m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 5. Let w = 6.0086146 + -8.5086119. Let t = u + w. Round t to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 2405, 3656?\nAnswer: 4907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -25*u - 54 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3783 = -319*m + 3554 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20307962611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 10126*j + 223740.\nAnswer: -2*(j - 5085)*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0546 - 0.36?\nAnswer: -0.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21129517 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1092\/(-390)*325\/(-1456).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + (2 - 2))\/(9948\/(-663) + 15). Is o at most as big as 7730\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 667618354 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(2\/20)\/(3\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*n - 1638, 5*n + k = 955 + 1757. What are the prime factors of n?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469000 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 - u**3 + 4*u**2. Let j be y(-10). List the prime factors of (-3)\/6*j - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4, 3*a = -2*s - 2*s + 3. Suppose 0 = 3*y + 3*v - 372, s = -0*v - v + 3. Suppose -3*o + 38 = -y. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/4 or -12?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 11, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 399 - 578. Let v = 178.999758 + h. What is v rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 6*d + 12. Let y be i(5). Suppose 0 = -5*g + 17 - y. Suppose 2*j = g*b - 2 + 40, 45 = 3*j + 3*b. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 7017. Let d(u) = -250*u - 213*u + 464*u. What is x(d(g))?\nAnswer: g + 7017","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 + 21*i**3 - 15*i**2 - 225*i = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.1. Let i = -228\/335 + -8\/67. Sort -2\/11, i, g in descending order.\nAnswer: g, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 + 9560*h**2\/3 - 11405056*h\/3 - 45773312\/3.\nAnswer: -2*(h - 2392)**2*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.81 + -22.81. Let m(r) = r**3 - 6*r**2 - 7*r + 1. Let c be m(7). What is the third biggest value in c, g, 0.06?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*v + 7, -2*v + 8 = t + 2*v. Let l be (5 + t + 0)*1. Solve 0 = p - 2 - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 12012 + r + 64096 + 0*r**2.\nAnswer: 5*r**2 + r + 76108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 170*t - 274. What is n(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5922694*j**5 + 2*j**3 - 3792001*j wrt j.\nAnswer: -118453880*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1 + 5*p - p**2 + 1. Suppose 1 - 13 = h. Let l be (-3)\/h + (-57)\/(-12). Let i(b) = -3*b. Calculate l*i(d) + 3*c(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -818158.86 to the nearest ten thousand.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 2 + 1145*k - 460*k + 17)*(2*k - 2*k + k) in the form s*k + l*k**2 + q and give l.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 11*u**2 + 12*u + 32. Let g be b(12). Differentiate -30*x - g*x - 6 + 18*x wrt x.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13)*1 + -4.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 253, 251, 247, 241, 233, 223, 211?\n\"Answer: -o**2 + o + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.5494 tonnes to nanograms.\nAnswer: 686549400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1148, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13212*2.1.\nAnswer: -27745.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/12*z**4 + 25*z - z**3 + 3*z**2 + 0. What is n(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 6*o**2 - 5*o - 4. Let g be h(5). Sort g, -2, 33 in descending order.\nAnswer: 33, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -217) + -110 + -99.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(-2*sqrt(539) - (sqrt(11) - 2*sqrt(11)*4)))**2.\nAnswer: -80850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 17058*z - 802*z - 3341*z - 3623*z.\nAnswer: -24824*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 4*q**2 - 3*q**2 + 40 - 279*q - 4 + 282*q in the form y*q + d*q**2 + t and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 12867555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 7*a**2 - 7*a + 15. Let h be (-644)\/(-105) + 26\/30 + -1. Let b be m(h). What is the units digit of 2\/(-3) + 1 + 870\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3*z + 2*z + 2*z)*(-3*z + z + 4*z).\nAnswer: 4*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -4 (c) -9 (d) -3358\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49599822?\nAnswer: 2, 3, 23, 359419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - 3*l - 6, 4*t = -l + 11. Suppose -t*r + 16 = 2*y, -4*r + 26 = -5*y - 3. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4715971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -29, 0, 9093, 12 in ascending order.\nAnswer: -29, -3\/2, 0, 12, 9093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5662 and -0.07.\nAnswer: -1.6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 417875067*o**2*v**2 - 1679490*o**2 - 6*o + v**3 wrt v.\nAnswer: 835750134*o**2*v + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 18*z - 20. Sort z, -4, 2 in ascending order.\nAnswer: -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 5 + -6 + 0 + (32 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*w**2 - k*w**3 - 2*k*w + 18*k - 6079*w**3 with respect to k.\nAnswer: -4*k*w**2 - w**3 - 2*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.750928km to centimeters.\nAnswer: 675092.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose -4*x = z, 0*v + 6 = 4*v - 2*x. Let n = -1 - -3. Put v, 5, n in descending order.\nAnswer: 5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(208) + 1))**2 + (-6*(sqrt(117)\/(sqrt(9)*1) + sqrt(13)))**2.\nAnswer: 128*sqrt(13) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999667?\nAnswer: 999667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2 - 23. Suppose 2*p - 1 - w = 0. Solve -b + 5*g - p = 0, 5*b + 0*g - 2*g + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*n. What is the remainder when n is divided by (6\/5)\/(6\/15 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.28 + 0.42. Let i = 1.8 - v. What is the smallest value in 0.3, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*d - 4)*(-2*d**3 - d + d) + 0*d**4 - d**4 - 5*d**4 + d**4 - 5*d**2 - 2*d**2 + 5*d**2 to the form j + h*d**2 + u*d**3 + p*d + y*d**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*(-170)\/(-50))\/13. Which is the second smallest value? (a) -2 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-5*10\/(-125))\/26).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-178)\/445)\/((2\/1)\/(-20)). Suppose 0 = -7*o - 3*s + 939, l*s = -3*o + 3*s + 401. Calculate the greatest common factor of 99 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -630882*u**3 + 2234680 wrt u?\nAnswer: -1892646*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31 from 170065766414.\nAnswer: 170065766445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/308*21\/3\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 104, 170, 238, 308, 380, 454?\n\"Answer: x**2 + 61*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.4. Suppose 8 = n - 5*n, 3*u + 3*n + 3 = 0. Let f be 3\/(-4)*3\/9. Which is the closest to u? (a) f (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -1 - (425 + -428).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 1.4.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15518 + 54*x - 15518 + 5 - 1 + 5*x - 3 + (-2*x + 2 - 2)*(6 - 5 + 0).\nAnswer: 57*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 631*a + 8202. Determine t(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35808.17 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 78*r + 399.\nAnswer: 3*(r + 7)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/5)\/(354473\/(-29540) - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 2*q = -49, -y = -2*q - 132883 + 132890 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 + 11*l + 11. What is the units digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47418886 * 0.1\nAnswer: 4741888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11841 times 8?\nAnswer: -0.94728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 60702642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5571557 - -1?\nAnswer: 5571560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 750283187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -580, -1160, -1740, -2320, -2900?\n\"Answer: -580*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359712997031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*p**4 + 126965*p**3 + 141225*p**2 - 4954280*p - 13961200 = 0. What is p?\nAnswer: -3173, -4, 55\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835.1 less than 47636?\nAnswer: 43800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(2) + 0 - (sqrt(14) - sqrt(154)\/(sqrt(11)*-1))\/sqrt(7))**2 + ((3 + 1*sqrt(288)*-5)*-3)**2.\nAnswer: -3242*sqrt(2) + 64884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111416892*s**3 + 133*s**2 - 83117 wrt s?\nAnswer: 668501352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 2 + 8*b**2 + b**2 - 9*b**3 - 16*b**2 + 8*b**2 - 10*b as g*b**3 + i*b + c*b**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 347, 484, 687, 962, 1315?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80612*(5\/(-45))\/((-2)\/9). Suppose -124987 + 24222 = -5*k - 3*q, 0 = 2*k + 3*q - a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*(l**17*l)\/l*l)\/l))\/(l*l\/(l\/(l*l**(-7)))) assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.10461 and -0.2.\nAnswer: 0.020922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 6. Let w be z(8). Suppose -w*x + 7*x = 35. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*-6 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765.3 + 779.3. What is the closest to -1 in 0, 95, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 0\/(-3) - (-4 + -8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:26 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080035 - -805?\nAnswer: 805.080035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500\/75*(441\/(-12))\/7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 9, m: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -778, -1691, -2948, -4537, -6446?\nAnswer: -8663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -87. Let g = -39.97 - k. Let h = g + -7. Which is the third biggest value? (a) 6 (b) h (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 100 = s - 5*y, 0 = -3*s - 4*y + 150. Suppose 5*i - 150 = -0*i. Let g = s - i. Calculate the smallest common multiple of g and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(500) + -1 + sqrt(500))*5 - sqrt(500) - (sqrt(500) + 1)*-3)**2 + -3.\nAnswer: -480*sqrt(5) + 72001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1.9.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362170713 to the nearest integer?\nAnswer: 19031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13, 2, -5 in increasing order.\nAnswer: -5, 2, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6 - 0)*6. Suppose 0*q = 5*q - 4*o + 2, -q = 3*o - 11. Suppose 5*m - 15 = -2*v, v + 2 = -q*m + r. Solve m*z = -7 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979800 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 88 = 2*n. Let k be (3\/(-2))\/(3\/4). Let u be k\/3*9\/n. Which is the nearest to 1? (a) u (b) -0.2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -345, -365, -387, -405, -413, -405, -375?\n\"Answer: p**3 - 7*p**2 - 6*p - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:27 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m - 2*m + (1 - 1 + 2)*(-2*m + 2*m - 2*m) - 3*m + 2*m + 3*m + (-4*m + m + m)*(-5 + 2 + 4) - 2 - m + 2 + (25*m + 18 - 18)*(-5 + 2 - 2).\nAnswer: -132*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46335 - 46367.227. Let w = 31.76658 + o. Let y = 0.46 + w. What is y rounded to five decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 193356*u - 10046400.\nAnswer: -3*(u - 64400)*(u - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 - 265*y**2 + 270*y = 0 for y.\nAnswer: -54, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -20\/620203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*z - 5*k, 0 = -5*z + z - 4*k + 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 15*v + 18 = 0. Calculate the lowest common multiple of v and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {x: 7, f: 2, y: 1}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(70) + sqrt(70) + -2*sqrt(70)*5)\/(sqrt(10) - (sqrt(90)*-1)\/sqrt(9)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2250 + 1544. List the prime factors of l.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in -0.1, 3, -50.179?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 122. Let w be p(-31). Let f(z) be the second derivative of -1\/6*z**3 - 1\/12*z**4 + 2*z**w - 6*z + 0. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1281*w = 1062*w + 15768 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s + 465. Let r = -36 + s. Let l = r - 21. Calculate the remainder when 106 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3265\/6 - -11341\/21. What is the common denominator of -61\/20 and h?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*j - 236*j = -4175. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 17 + 3. Suppose 6*t + 5*q = 9*q + 532, 176 = 2*t - 2*q. What is the remainder when t is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/84 and 107\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102237*o + 3*p = -102267*o + 57, 0 = 4*o - 2*p + 38 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 9:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16159800 to the nearest integer?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 20. Let r be i(15). Suppose 5*w = 7*w - r. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m**(-2\/5))\/(m**(-2\/11)\/(m**5*m)) assuming m is positive.\nAnswer: m**(2446\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than -85\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -61*c**3 - 1. Let u be k(-1). Suppose -u + 72 = 4*y. Solve -y*w + 8 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2156 divided by -154.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)\/(g\/(g\/g**(3\/5))))\/((g*g*g**(-2)*g)\/g)**16*(g\/((g\/(g*g**(-1)))\/g)*g)**(-2\/19)\/(g**1)**48 assuming g is positive.\nAnswer: g**(-916\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10104 (base 7) in base 2?\nAnswer: -100110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -1\/105*b**5 + 8\/21*b**3 + 11\/420*b**6 + 1\/1176*b**8 - 2\/245*b**7 + 0 - 4*b**2 - 1\/7*b**4 - 13*b. Factor t(f).\nAnswer: 2*(f - 2)**3*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 232, -5, 474 in increasing order.\nAnswer: -5, 7, 232, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3 + 1377*f*k**3 + 4*k**3 + 29791*k with respect to f.\nAnswer: 9*f**2 + 1377*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27356 and 217541751?\nAnswer: 870167004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.033 and 6934099.2.\nAnswer: 6934099.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 331122 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 19, a: 1}. What is prob of picking 3 o?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*i + 126. Suppose 13*x + 36 = i*x. Solve -x*z - 4 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832224.\nAnswer: 2, 3, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522665216?\nAnswer: 2, 47, 71, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 29*r + 126. Calculate the lowest common multiple of 3*8\/6*6 and t(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 15015 + 11055. Let i = -1573 - a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105 + 12*r - 47 + 151 in the form i + t*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**4 + 159651*y**3 + 118675*y**2 wrt y.\nAnswer: -48*y + 957906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwowooc. Give prob of picking 1 c and 3 o.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/195920 and -95\/248?\nAnswer: 195920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*6\/(-2109) - (-298)\/37?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -150692097\nAnswer: -4\/150692097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -286*y + 4. Let c be m(-4). Suppose -5*h = -h - c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -l + 5, 0 = -3*h - 3*l + 21. Suppose -4*f - 80 = -9*f. What is the highest common factor of h and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -155*n**4 + 3530*n**3 - 21395*n**2 + 14520*n = 0.\nAnswer: 0, 24\/31, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1097 - 438 = -5*q. Suppose 2*t - q = 5*h, 6*t - 4*t - 295 = h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d4a04 (base 15) to base 8.\nAnswer: 2444127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 4*v. Let a = -30 + 34. What is the units digit of h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 9 - 343*y**2 + 363*y**2 + 31 + 58*y.\nAnswer: 2*(y + 1)*(y + 4)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -853, -3407, -7665, -13627, -21293, -30663, -41737?\n\"Answer: -852*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/63)\/(75\/210)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.53 (b) -5 (c) -1680 (d) -0.1 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514*0.1245.\nAnswer: -63.993","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38684 is divided by 87?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -5*h**6\/72 + h**5\/8 + 5*h**4\/12 - 17*h**3\/6 + 3*h**2. Let z(b) be the first derivative of j(b). Suppose z(d) = 0. What is d?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.027 and -18.585.\nAnswer: 0.501795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/9 + 323780*f\/3 - 30113462\/9 = 0. What is f?\nAnswer: -485701, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 743 - 503164?\nAnswer: -502221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 + 6281*x**2 - 9915912*x + 166760208 = 0.\nAnswer: 17, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104534135 (base 6) in base 5?\nAnswer: -442104211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 = 4*a, -5*r = -16 - 9. Let d be 17\/69 + (-2)\/a. What is the smallest value in -0.3, d, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 6)*(-1)\/2 - (8 + -8). Which is the closest to 2\/3? (a) 5 (b) -3 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 459 = -10*x - 24*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s + 1)*(0*s - 4*s + 0*s)*(-4 + 2 - 4).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321594, -643191, -964788?\nAnswer: -1286385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 291*h**3 - 412. Let u(y) = y. What is m(u(x))?\nAnswer: 873*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 93458, 5, -9, 11, -4, -3, -5 in ascending order.\nAnswer: -9, -5, -4, -3, 5, 11, 93458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -24*k. Let l(i) = 195*i. Determine 5*l(h) + 39*n(h).\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q - 27 - 22*q + 5*q + 26.\nAnswer: -29*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 41*k - 11. Give t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2072.51331 - 1.69669. Let a = 2059 + p. Let h = a + 0.21. Which is greater: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 1 + 0 + 9*p**2 + p + p. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Let i = n - -14. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x**2 - 18*x + 20. Let j(i) = 5*i**2 - 4*i + 4. Let r(a) = -3*d(a) + 14*j(a). Calculate r(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 317, 333, 349?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 17154.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35573456 by -386668.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1836.9877.\nAnswer: -1840.9877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -2\/5 (c) -1573 (d) -0.2 (e) -0.5 (f) -3\/5 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 13\/6*p**2 + 0 + 5*p = 0?\nAnswer: -30\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-10))\/1)\/((-3)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 314?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/33 - (-1 + 8))*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:21 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186482025 rounded to the nearest ten thousand?\nAnswer: 186480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27882 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = 3*b, 4*k + 7 = -b. Let a(j) = -12*j + 1. Let x(w) = 11*w - 1. Let s(o) = -5*a(o) - 6*x(o). What is the tens digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.4305898 + -8472.\nAnswer: -8413.5694102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 0)*(-1035)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - (-1206)\/(-56)) + (-10)\/(-35) and 151\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 10*m + 1 = -3*x, -24 = 4*x - 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8)\/3 - 429\/(-99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/328 and 63\/88.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 208*p + 22. What are the prime factors of v(3)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 315*b**4 - 1305*b**3 + 1780*b**2 - 940*b + 160 = 0.\nAnswer: 1\/3, 2\/3, 8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1026*m**2*p**4 - 2*m**2*p**3 + 5*m**2*p**2 - m**2*p - 40*m**2 - 259*p**3 + 254 wrt p.\nAnswer: -24624*m**2*p - 12*m**2 - 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = b + 31, 2*b - 818*z + 820*z = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24495432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n - n)*(1604 - 801 - 1533).\nAnswer: 1460*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 90034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -1*(sqrt(171) - -1*sqrt(171)))\/(sqrt(18)\/sqrt(72)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/120 + g**5\/10 + g**4\/12 - g**3\/3 - g**2. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 115*r + 443. Suppose -264 = -18*g + 12*g. What is the remainder when g is divided by o(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 35*y. Let p(w) = -w**3 + 8*w**2 + w - 7. Let o be p(8). Is m(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 30. Calculate the least common multiple of 2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.2653 rounded to 1 decimal place?\nAnswer: 449.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -178, -5, -1\/11, 3, 86?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 4 (c) 1814 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -66, 2 in descending order.\nAnswer: 5, 3, 2, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/3 - 140*v**4\/3 - 718*v**3 + 10360*v**2\/3 - 10952*v\/3.\nAnswer: -2*v*(v - 2)**2*(v + 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3*z - 7. Let j = -651 - -443. Let c be -3*(j\/60 - (-3)\/(-15)). Suppose 6*m - c = 19. Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/19 + 9792*z**2\/19 - 631326*z + 23951236\/19 = 0.\nAnswer: 2, 2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*m + 259*m + 3360 = 188*m for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3770149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1929.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 6*m**2 + 267*m + 36. What is the least common multiple of 20 and j(12)?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 20*s - 11. What is the hundreds digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 4*y - 6. Let k(i) = i - 2. Let u(o) = 2*k(o) - q(o). What is the tens digit of u(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j + 3. Let w = 25 + -23. Calculate z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:57 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 584473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8912268 is divided by 355.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 358.9349l?\nAnswer: 358934.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8698, 17394, 26088, 34780, 43470, 52158?\n\"Answer: -x**2 + 8699*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -10, 3, 22, 47?\n\"Answer: 3*j**2 - 2*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 777607613 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - h + 111 = 0, -2*a + 2*h - 14 = -7*h + 9*h - 4*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213404.2 hours in days?\nAnswer: 92225.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 6*g - 6. What is y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -399.711875 and 0.6?\nAnswer: 400.311875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 + 5*s**2 + 5*s - 5. Let a(v) = -v**3 + v**2 + v - 1. Determine -10*a(n) + 2*d(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711, -703, -689, -669, -643?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 303*b**3 - 304*b**3 - 2*b + b**3 - 2*b**3 + 2*b**3 + (2*b**3 + 2*b - 2*b)*(-1 - 1 + 4).\nAnswer: 4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -175?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 534290 divided by 10\nAnswer: 53429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96005980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 10*o + 2. Give w(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7566, -14784, -21996, -29202?\n\"Answer: 3*p**2 - 7227*p - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 1456542*i + 18934708.\nAnswer: 2*(i - 728258)*(i - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)\/(-2) + 8 + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 11*y**2 - 9*y + 11. Let n be p(-10). Let q be (20\/15)\/(n\/9). What is the greatest common factor of q and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7714 + -6115. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 26 (c) -2\/13 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25, 59, 1, 0.6, 0.4 in ascending order.\nAnswer: 0.4, 0.6, 1, 2, 25, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23311 - -23405) + (1 - (1 - -20)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 156503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431138749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8673 is divided by 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/2 - 6*h**5\/5 - 9*h**4 + 38*h**3 - 111*h**2\/2 + 36*h - 792. Factor g(m).\nAnswer: 3*(m - 3)*(m - 1)**3*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12920 > 12920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, c: 5, d: 1, r: 1}. Give prob of sequence rt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 70*f**3 + 175*f**2 + 240*f.\nAnswer: -5*f*(f - 3)*(f + 1)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 13*n + 11. Suppose -41 = -2*p - 4*d - n, -3*d = -15. Find z, given that -p*z + 17\/4*z**2 - z**3 + 1 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 89. Let v be (x\/(-1))\/(738\/(-186) - -4). Let y be -1 + ((-9)\/3 - v). Is 25 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 92 = -a + 2*q, -3*q + 33 = a. Suppose 40 = -16*i - 4*i. Let j(f) = 4*f**2 + 9*f + 23. Let w be j(i). Is a <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 23 = 3*q + 111 + 11, 0 = -3*q - a - 34553 + 34580 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 h when three letters picked without replacement from {h: 1, n: 7}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.67 - 1.67. Which is the closest to -4? (a) h (b) 3\/5 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73233 and 6794.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = 5*i. Let m = 10 + -7. Calculate the lowest common multiple of i and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l - 104 = 4*k, 0 = 3*k - 3*l + 102. Let w = k - -29. Let f(z) = z. Let p(i) = -9*i. Determine w*p(a) - 5*f(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 613*j - 385*j - 5700 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-3*o + 3*o + 2*o) + 5 - o - 5 - 2*o + 2*o - 2*o + (-o + 5*o + 17*o)*(4 + 3 - 5))*(o - o + 3*o).\nAnswer: 129*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(425) + 3)*3.\nAnswer: 18 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6)\/n*n\/((n**5\/n*n)\/n*n)*n*n)\/((n*n\/(n\/((n\/(n*n\/(n\/((n*n*n*n**(-4))\/n)*n)*n))\/n)*n))\/n**(-2\/3)) assuming n is positive.\nAnswer: n**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -21*a**2 + 0*a + 0 - 1\/6*a**3 + 1\/12*a**4. Suppose -2*o + 8 + 0 = 0. What is l(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 - 12720*d**2 + 51962*d?\nAnswer: 12*d - 25440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 3579*x**2 + 51 - 2187*x**2.\nAnswer: -5766*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:10 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5251163500?\nAnswer: 2, 5, 11, 954757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -9*a - 11. Suppose -13*x = 5*n - 9*x - 20, -a = -n - 5*x. Solve 2*v = -4*t - 2, -v + 4*t - 1 = -n*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 1. Suppose 0*r - 6 = 2*r - 5*d, -5*r = -d - i. Let o = -14 - -13.5. Which is the nearest to -1? (a) r (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 605 + 417 = -c, 0 = -3*v - 2*c + 621. Suppose -3*h - 4*d + v = 0, d = -3*h + 84 + 136. Suppose -a + 0*a + h = 0. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7937607, 7937605, 7937603, 7937601, 7937599?\n\"Answer: -2*w + 7937609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 527\/7960371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -36.39. Let h = -0.01 + z. What is the nearest to 1 in -4, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:19 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 11*t - 14. Let m be v(12). List the prime factors of 12 + 4 - (m - -4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/16*3\/6*12*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (27\/15 - 3)*-10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -57. Suppose 19*c - g = 11*c. Suppose 35 = -3*o + 8*o. Calculate the smallest common multiple of c and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Let v = 101 - 101.78. Let y = 0.38 + v. Put -2\/7, y, j in ascending order.\nAnswer: y, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7124)\/(-65) + 4\/10.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (160\/25)\/(8\/20). Let g be (-9 - z)*(-2)\/10. Solve m - 4*m - 4*u - g = 0, -u = 3*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than or equal to 34899\/2389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 9:12 AM?\nAnswer: 554","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1403 = -q, -37*q + 56 = -3*m + 643. What is the smallest common multiple of m and 5076?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6330 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/(-10) + -13 - 4050\/135.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 70, 106, 156?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 + p - 1. Let t be i(3). Let v be (-12)\/(-3) + 2 - 10. Is t greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(13\/(-2)))\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 23 = 2*l, 0*l + 28 = q - l. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4))**(-24\/11)\/((u*u\/(u**(4\/17)*u))\/u**(-12\/11)) assuming u is positive.\nAnswer: u**(877\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/28*(-311456)\/(-24). Suppose 0 = h + l - 4868, -11*l = 2*h - 8*l - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 41162.32001.\nAnswer: 41161.22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4090*m - 4077*m + 8167*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/35 - 4\/63. Sort -3, 5, l in decreasing order.\nAnswer: 5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76)*3)**2 - 2*(sqrt(76)*-1)**2.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 148*w - 26. What is v(30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6 + -0.6. Let z = -13 + f. Suppose 5 - 1 = 4*n. Sort n, 0.5, z in decreasing order.\nAnswer: n, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11206685 and 2?\nAnswer: 22413370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 214*t + 8224. Let k be h(-5). What is the highest common factor of 98 and k?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, -1.18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 94*j**2 + 249*j - 324. Calculate a(-4).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 68. Suppose 32*b - 36*b + 1556 = a. What are the prime factors of b?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13566649 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/21 + 4*q**6\/15 - 3*q**5\/5 + 2*q**4\/3 - q**3\/3 + 2*q - 102. Let z(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 96 = -15*g - 9*r, -5*g = r - 25 - 11 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853065.\nAnswer: 3, 5, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 3362557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 55364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t. Let f be c(16). Let l = -39 + f. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 78*t + 77.\nAnswer: (t - 77)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1064 - -726. Let f(r) = i*r**3 - 21946*r**3 + 0*r + 0*r - 4*r. Let c be f(4). Round c to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -46, -78, -112?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, u: 2, i: 5, e: 6}. Give prob of sequence pi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411495, 411491, 411475, 411441, 411383, 411295, 411171?\nAnswer: 411005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 349 and 1?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 542, 146, -514, -1438, -2626, -4078, -5794?\n\"Answer: -132*c**2 + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2203 is divided by 98.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -14.11. Let s = 0.21 + i. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1653 + 1649. Let b = -1 + 1.2. What is the closest to 105 in 0.5, 0.1, t, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 7. Let y = 8 + i. Is 2 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1574584, -0.1 in decreasing order.\nAnswer: 0, -0.1, -1574584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60207175 is divided by 4631321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2045*f**3*t**2 + f**2*t + 2*f**2 + 76*f*t**2 wrt f?\nAnswer: -12270*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2734*f + 30193*f + 2173182 = 0 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 837*d**2 + 2*d + 2. Let u(q) = -6*q**3 + 2512*q**2 - 7*q - 8. Determine -7*h(l) - 2*u(l).\nAnswer: -2*l**3 + 835*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3500002125 + 2.35. Round q to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - -338. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*w = -8245, 3*x + 2*w - 4946 = w. Suppose -g - c + 260 = -69, 5*g + 4*c - x = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f**2 + 8*f**2 - 24*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-3)\/45*-3). Let d be 0\/(-1) + 2\/(-7). Let z = -0.7 + -2.3. Which is the nearest to 0? (a) z (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 8*c + 1286*c**2.\nAnswer: 1286*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1980 divided by -132.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/21)\/(170\/(-162180)) + 4\/7 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 772402 - 257807 - 257300 - 257295.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-20 - -5) + 7) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 - 11*z - 11. Let v be f(-3). Which is the closest to -9? (a) 2 (b) v (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + (-687 - -688 - (0 + -12))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 2)*(-21*a**4 - 6*a**4 - 7*a**4) to the form j*a**4 + p*a**3 + s*a + k*a**2 + g and give j.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4058483*p**3 + 8116896*p**3 - 4058408*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 317, 316, 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-403)\/(-217))\/(10\/70).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from kkfmkmymnkvkymvyykfk.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**5\/210 + 5*m**4\/21 - 19*m**3\/21 - 12*m**2 - m - 59. Let v(f) be the second derivative of a(f). Factor v(z).\nAnswer: -2*(z - 19)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-16) + (-9)\/(144\/(-196)). Solve 0 = 3*i + w, 2*c - 5 = -c - i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 6, -69291 in increasing order.\nAnswer: -69291, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -85*i**2 + 10*i + 10. Let w = -79 - -80. Let l(c) = c**2 - c - 1. Let z(j) = w*b(j) + 10*l(j). Let d(k) = k**2. Calculate d(z(x)).\nAnswer: 5625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 - f**4 + 2*f + 3*f**4 + f**2 - 6 - f as x*f + l + k*f**4 + n*f**2 + b*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112))**2 + 0 + (1*sqrt(343) - sqrt(343)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 1, -0.1, -5, 17436?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173 + 35. Calculate the remainder when s is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3351794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 14 - (2 - (1 + 1))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239019058?\nAnswer: 2, 97, 179, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/((-5292)\/(-1078))*3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 464383\nAnswer: 45\/464383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 28*h = 31*h + 6, 0 = 5*f - 2*h - 4. Suppose f = z + 3*u - 15, 5*z - 7 = -2*u + 16. Solve -z*w + 7 = 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -873*d**3 + 4*d**2 + 410*d + 122. Is r(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(153) + -1*sqrt(153))*-3)\/sqrt(9) + -1)**2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + g**3 + 86 - 110 - 23*g**2 - 24*g + 2*g**3. What is the lowest common multiple of w(-22) and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 14*y**2 + 23*y - 11. Let o be x(-12). Is 1*1\/o*1937\/13 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/(12\/(-36))*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**(2\/15))\/d)\/d**38)**(1\/5))**(2\/111))**40 assuming d is positive.\nAnswer: d**(-9088\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142109730 divided by -1578997.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 11*y**2 + 26*y - 19. Let r be v(8). Which is the nearest to 6? (a) 2 (b) -5\/3 (c) r (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1015354869.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 65. Let h be (6\/y)\/(51\/340). Solve h*s + 20 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471878 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-37)\/15 + (-28)\/12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-294)\/(-54))*-2*28\/(-16).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -176*o**2 + 18*o + 8. Let a be v(-5). What is the tens digit of (0 + (-1)\/3)*a\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let f(i) = 236*i. Let q(o) = 177*c(o) - f(o). Let n(x) = 2*x. What is n(q(w))?\nAnswer: -118*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = 3*z, -6 = -2*a + 4*z + 14. Suppose 0*q = -2*u + a*q + 20, 5*q = u - 19. Let y = u - 3. Which is smaller: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335423 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -457*l**2 - 12*l + 15547 wrt l.\nAnswer: -914*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 + 4*y. Does 16 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(60)\/sqrt(5) - sqrt(12)) + 5 - sqrt(12) - sqrt(27)\/(2*sqrt(1089) + sqrt(1089))) + -5)**2.\nAnswer: -8978\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9*z + 11*z - 21*z.\nAnswer: -19*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 121429*n - 850058. Calculate i(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(10\/(-2)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273515.34 rounded to the nearest 1000?\nAnswer: -1274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*i + 129 + 71 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - (-68)\/88)*10\/(-35))\/(221\/1547)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(85) - (sqrt(85) - (sqrt(85) - sqrt(85)*4))) + sqrt(85))*1*6)\/((1*sqrt(1375) + sqrt(55))\/((sqrt(99)\/sqrt(3))\/sqrt(3))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 16*b**2 - 2*b - 19. Let w be k(-16). Let o = w + 3. Calculate the remainder when 2\/(-6) + (-1390)\/(-30) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*6\/2*-42. List the prime factors of (-2682)\/(-21) + (-18)\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(1\/16)\/(b**(3\/4)*b\/((b\/(b**(2\/25)*b))\/b)*b) assuming b is positive.\nAnswer: b**(-791\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12921232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1922419376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:07 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/12)\/(2\/9). Is q\/(-5)*(-691)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -294, -839, -1922, -3729, -6446, -10259?\nAnswer: -15354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 396\/12 - (58 + 36 + -69)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:29 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 5*m - 3. Let p be s(-5). Let l = -13 + 8. Let h be (-1)\/3 - l\/(-3). Put 5, p, h in increasing order.\nAnswer: p, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let t be u(5). Suppose t = 5*n - 2*c - 19, n = -0*n + 5*c + 13. Factor -3*v**4 + 9*v**5 + 12*v**2 + 0*v - 9*v**4 - 5*v**n - 4*v.\nAnswer: v*(v - 1)*(v + 1)*(3*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690322.6 millennia in centuries?\nAnswer: 6903226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-3*1 + ((sqrt(34)*2)\/sqrt(2))**2 + 3 + -1*(-1 + sqrt(68)\/sqrt(4))**2 + 1.\nAnswer: -sqrt(17) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + -18 + 862\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*l - 22, -5*l - 53 = -h - 46 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/75 - 131*y**4\/30 - 728*y**2. Factor k(z).\nAnswer: -4*z*(z + 131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 10) in base 7?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004285947 to 6 decimal places.\nAnswer: 0.000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/4905 and -31\/16350?\nAnswer: 49050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -1, -7, -3, -13 in descending order.\nAnswer: -1, -3, -7, -13, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18743, 18665, 18587, 18509, 18431?\n\"Answer: -78*u + 18821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - j + 361, 4*j - 16 + 210 = 2*g. What is the derivative of 12*d**4 - 3574*d**3 + 3574*d**3 - g wrt d?\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189508*b**2 - 189508*b**2 - 4880*b**3.\nAnswer: -4880*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a62 (base 11) to base 9.\nAnswer: -42237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15133 (base 6) to base 7\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/65712 and 97\/666.\nAnswer: 197136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l + 1086. Let c(f) = -f**3 - 4*f**2 - 13*f - 21. Let u be c(-2). Does 11 divide 28\/(-12) - u - l\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50267.80012 rounded to the nearest 100?\nAnswer: 50300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -926, 17, 5, 4 in descending order.\nAnswer: 17, 5, 4, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 5*b + 16. Let n(i) = 50*i**3 - 2*i**2 + 2*i - 1. Let v be n(1). Let o = v - 21. What is the remainder when o is divided by p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = u - 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10173493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Find the common denominator of -99\/10 and -3 + k + (-51)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*z - 12 = -d, -20 = -2*d - 4*z. Find s such that s**2 + 0*s**2 + s**2 + d*s**3 + 2*s**4 + 2*s**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3268, -3501, -3734, -3967, -4200, -4433?\n\"Answer: -233*x - 3035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242196 is divided by 299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k = 3*d + 64*k - 3957, -5*d = -4*k - 6595. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 5*d + 3. Let j be s(2). Let h be j*((-1 - -2 - 1) + -1). Let u be (-1 - (-16)\/12) + (-33)\/h. Solve 4*t + u = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 3, r: 3, x: 1}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 75. Let v = -17 - g. Find the third derivative of 13*a**2 + a**2 - 28*a**2 - v*a**6 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 10*t - 35 = 0. Let x(s) = -s**3 - 7*s**2 - 4*s + 1. Calculate x(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*r - 94*r - 100*r + r**2 - 71*r in the form t*r**2 + j*r + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t + 3*t**2 + 4\/3*t**3 - 4. Does 23 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**7\/70 + p**4\/4 - 7*p**2. What is the second derivative of u(d) wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 3*i)*((-3*i + 3*i + 2*i)*(3 + 4 - 5) - 2*i + 2*i + 2*i)*(28 - 51 - 90).\nAnswer: -1356*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((13 - 12) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*h - 102 = -h, -4*m - 2*h + 80 = 0. Suppose -60 = -3*d + m. Let p be (6\/1)\/(6\/52). What is the highest common factor of d and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8906197 to the nearest integer?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.08, 3, -762584 in descending order.\nAnswer: 3, 2, 0.08, -762584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/23 and 19\/61.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 31*j**4\/6 - 450*j**2. Let b(a) = 2*a. What is b(o(k))?\nAnswer: 248*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*q - 606*q + 657 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.837637t in kilograms?\nAnswer: 837.637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 17*b**2 + 5*b + 20. Let n be i(17). Suppose -3*r = 3*l - n, 4*r - 4*l + 11 - 127 = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*l**3 - 7694*d*l - 460*d - 2*l**4 - 2*l + 4 with respect to l.\nAnswer: 3*d*l**2 - 7694*d - 8*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.14. Let x(d) = -d + 6. Let s be x(5). Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -629353\/291669 - 2\/15351. What is the common denominator of t and 18 + 11 + 89904\/(-3040)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 72*g - 29 = -28*g + 9*g - 20*g, 0 = -v + 3*g - 25 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00346182 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 19*b + 22. Let n be s(2). Let m be (n\/((-168)\/15))\/(12\/21). Solve 1\/4*v**2 + 1 + m*v = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - 9*y**2 + 86*y**2)*(4*y + y - 3*y) + y**3 - 5*y**3 + 3*y**3 to the form q*y**2 + x*y**3 + r*y + k and give x.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/17122 in 7, 18, -7, -5, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*i - 18 = 0, -g + 6*g + 4*i = 28. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 6*y**2 - 15*y**2 + 8 - 35 - y**3 + 26*y. Let o be a(-22). Let r be ((-34)\/(-4))\/((-1)\/(-2)). Calculate the greatest common divisor of o and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*s - u, 7*s - 5*u + 40 = 2*s. Let y be 98\/(-35) + 2\/s. Let k be ((-8)\/(-18))\/((-2)\/y). Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10012.426976 and 0.88.\nAnswer: 10013.306976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(2) + sqrt(2) + sqrt(12)\/sqrt(6)*-5.\nAnswer: -7*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 3521876*p - 9302707919532.\nAnswer: -(p + 5282814)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781955?\nAnswer: 5, 43, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = 3*i + i, 2 = -3*i - 4*l. Let f(n) be the first derivative of 0*n**i - 2 - 2*n**4 - 8\/3*n**3 + 0*n - 2\/5*n**5. Let f(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14841 + 14988. What is the remainder when z is divided by 102?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6851 and 0.4.\nAnswer: 2740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + u, 2*u + 146499998 = -5*y. Round y to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - d = 4*d, u = -4*d. Suppose -11*i - 13*i + 15 = 111. What is the second biggest value in u, 4\/5, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-6) + 2\/6. Let g = -5 - -8. Suppose 6 = -0*z - g*z. Put 5, z, a in descending order.\nAnswer: 5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236213 - -4?\nAnswer: -236206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2376 and 59\/41283.\nAnswer: 330264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 8 - (-68 + 86)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 911, 1360, 1807, 2252, 2695, 3136?\nAnswer: 3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/19*f**2 - 4 + 306\/19*f.\nAnswer: -2*(f - 38)*(4*f - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)*q)**(-25)\/((q*q**1\/q)\/q)**(4\/19))\/((q\/(q*q*q**3*q))\/(q*q**3*q))**13 assuming q is positive.\nAnswer: q**(395\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/18852 and 17\/2484?\nAnswer: 3902364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 17*o = -4*s + 8*s + 26, 0 = 4*o + 3*s + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006351849 to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 119*s**2 - s + 15. Let z(w) = -59*w**2 + w - 6. What is 2*j(t) + 5*z(t)?\nAnswer: -57*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14085*f**2 + 656084 - 656084 to d + r*f + m*f**2 and give m.\nAnswer: -14085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + -2. Let y = -0.09 + -0.03. Let m = 0.32 + y. What is the closest to r in m, 0.5, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*z + 5572 = -34388 for z.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1054510.37 to the nearest 100.\nAnswer: -1054500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 + j**2 + 6*j + 3571. Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1219884 or -1219874?\nAnswer: -1219874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3233*9.\nAnswer: -29097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23162 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 10 = j, 6*r + 1088 = -4*j + 552 + 570 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2900 and 34510.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 10*y**2 + 15*y + 4. Let i be r(-8). Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.95 - -0.05. Let m = -5.2 + x. Let n = -56\/3 - -289\/15. Sort 1, m, n.\nAnswer: m, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203.39657 + -910964\nAnswer: -909760.60343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 5 = -19*u - 5*i, 0 = -u + 3*i + 1. Sort -1, -271, u, 2\/5.\nAnswer: -271, u, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3086791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -3\/7, -22, 5\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/15)\/(14\/805). Let l = -87 - x. Suppose -l*k + 6*k = -10*k. Solve 0 = b - k*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93389 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640508.\nAnswer: 2, 3, 136709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232.0032 - 231. Let o = c - 1. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -873794048*v**4 + 1050735479*v?\nAnswer: -10485528576*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - d = -5*q - 13, -2*d - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2) + sqrt(12))\/sqrt(6) + sqrt(2) + 4.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 3*k + 2. Let t = -29 + 39. Calculate the lowest common multiple of t and z(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d**(2\/5)*(d\/(d**(7\/2)\/d))\/d**(-1\/5))**(2\/41))**(-19) assuming d is positive.\nAnswer: d**(-209\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 529 + -487. Suppose j = 17*q - 14*q. What is the highest common factor of 224 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/34)\/((-423)\/4794)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 59*g - 63*g + 24, 0 = 3*g - 5*t + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685044111.\nAnswer: 3, 229, 997153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36382, 36491, 36672, 36925, 37250, 37647?\n\"Answer: 36*a**2 + a + 36345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 + 109*b**2 + 5666 - 7*b**2 + 2*b**3 - 94*b**2.\nAnswer: 2*b**3 + 5666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1583 - -1584. Which is smaller: k or 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9101\/4 - 2275. Sort a, -0.4, -9 in increasing order.\nAnswer: -9, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20811 - 20811 + 4482*h + 3020*h in the form z + v*h and give v.\nAnswer: 7502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 21. Let f be h(-25). Let t = 4.6 + -5. Let c be -2 + 2 + 1\/4. What is the nearest to c in t, f, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (-1 - (9 - 5))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 3, 146, -8 in descending order.\nAnswer: 146, 5, 4, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985676.3 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*y + 10*y**2 - 2*y**2 + 9*y**2 - 145*y - 4*y**2 as p*y**2 + i*y + u and give i.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -851\/3 - -283. Which is the second biggest value? (a) h (b) -3 (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.4 + 5. Let o = v + -38.6. Let w = o - -38.6. Which is the closest to 0? (a) w (b) -0.03 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9556 divided by -14.\nAnswer: 4778\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261193 (base 14) to base 11.\nAnswer: -8146a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04986+-0.30432\nAnswer: -0.35418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 2, e: 4, a: 4, q: 2}. Give prob of picking 1 a, 1 q, and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -277712 (base 8) to base 6\nAnswer: -2034510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2310 = -27*c. Calculate the greatest common divisor of c and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let g(m) = m**2 + 3*m + 1. Let y(t) = -210*t**2 - 9*t - 3. Let i(k) = -3*g(k) - y(k). Determine v(i(b)).\nAnswer: 207*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91788293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 560098 divided by -7\nAnswer: -80014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 0.03, -3\/8, 21\/26, 176.\nAnswer: -3\/8, 0, 0.03, 3\/4, 21\/26, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61252323 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 12\/(-18))\/(2\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 230*w - 231*w + 36, 2*w = -3*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 155 + 0?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*k**3 - 2711*k**3 + 4279*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 13450.\nAnswer: 26900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 13*r - 38. Suppose -4*z + 25 = -5*i, -z - i - 7 + 11 = 0. Let k be f(z). Solve -9 = -k*b + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -973788, -3895120, -8764004, -15580440, -24344428, -35055968, -47715060?\n\"Answer: -973776*h**2 - 4*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -3*s**2\/2 - 11*s + 153. Let d(b) = -16*b - 58. Let o(l) = -2*d(l) + 11*z(l). What is o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1 + 2) - (-35 + 6 - 670\/(-26)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (-6)\/18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19352700?\nAnswer: 2, 3, 5, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11485\/7658 - 1\/3829. Let b be (-52)\/153 + 6\/27. Let j = -0.2 - 0.3. What is the closest to -2.9 in j, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - n - 1. Let g(s) = 20*s**2 - 5*s - 7. Let p(q) = g(q) - 6*v(q). Calculate p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 - -415a4?\nAnswer: 41686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 148, 421, 820, 1345?\n\"Answer: 63*b**2 + 84*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/14 + -8 + 540\/70. Which is the closest to -1\/2? (a) 14 (b) -5 (c) -4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-1\/20)*r)\/r)\/r*r**(2\/11))**12)**(-17\/5) assuming r is positive.\nAnswer: r**(-1479\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1830)\/(-1525))\/(6\/20). Solve 6*u - 3*u + 21 = l*v, -u + 12 = 5*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 12*a**2 + 3. Let m be p(-12). Suppose 0 = m*j - 4*j + 53. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5 - 241*f**4 + 100843*f**3 - 7289807*f**2 + 45393894*f + 52784784 = 0.\nAnswer: -482, -1, 8, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24848 and 640047036.\nAnswer: 640022188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 34 = 4*r, 3*r + 0*h + 5*h = 8. Suppose -2*c = 2*c + 20, 5*c = -2*u - r. What is the least common multiple of 7\/2 - (-2)\/4 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 11*q**2 - 17*q + 8. Determine g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121853822 to the nearest integer?\nAnswer: 11039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203974*s**2 + 0*s**3 - 1203974*s**2 + 2*s**3 + 15579*s.\nAnswer: 2*s**3 + 15579*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.5 + 2.5. Let k = 13.6 - c. What is the second smallest value in k, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 12*i**2 + 33*i + 5. Let y be x(-6). Solve 0 = y*z - 20*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*o - 18104344 = 45*o - 1145030. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (-2 + 4 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1497, 24, 22, 2 in descending order.\nAnswer: 1497, 24, 22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 573*d - 1050 + 45*d + 1050 + 1058*d in the form j*d + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1204.604 litres?\nAnswer: 1204604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from qzqsqzzqzzzzqzzzzz?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 13420?\nAnswer: 93940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394223247 to the nearest integer?\nAnswer: 19855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(19 - 8 - 29)*(-4 - j + 4) to d*j + p and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0968 + 95.2968. Let x = 97 - t. Put 0.1, x, 2\/9 in increasing order.\nAnswer: 0.1, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 4*f - 5*f + (f + 3*f - 5*f)*(-2 + 1 - 1) + 2*f - 2*f - f - 3*f + 3*f - 2*f - f + 3*f + 2*f + (-4 - 3 + 4)*(-3 + 3 + 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = -10. Suppose 0 = -2*z - n + g - 3, -3*z + 18 = 4*n. Suppose -z*q + 0 = -758. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let z(b) = -4*b**2 - b. Let o(m) = -9*m**2 - 2*m. Determine j*z(v) - 2*o(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1770 - -22046?\nAnswer: 23826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 82*i**2 - 9*i - 14. Let v be h(-2). Let z = v + -333. Is z != -1\/577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:18 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -116?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwbwaawawaa. What is prob of picking 1 b and 1 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165070*d**4*j - 1028484*j - 4 with respect to d.\nAnswer: -660280*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.15 times -0.8?\nAnswer: 12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:04 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*k + k + 37104, -5*k + 3*n = -61848. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1167166 (base 9) to base 12.\nAnswer: -267650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 7. Let l be u(6). Let a(k) = k**2 + 0 - 7 + 8 - 3*k + 0. What is a(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(209) - sqrt(209)*1)*2)\/((sqrt(77) - (sqrt(77) - sqrt(77)*4*6) - sqrt(77))\/sqrt(7)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or -6077273\/2?\nAnswer: -6077273\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 1. Let i = -32 + 39. Let y be w(i). Let d be (y\/8)\/5 + -1. Which is the second biggest value? (a) 3 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from nanaaana.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7524 is divided by 50?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21)\/(6*(-5)\/626) - -7?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.0117, -0.2, -3?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-35))**(-21\/5)*(r\/(r\/(r*r**31)))\/(r\/(r**(-2\/7)\/r*r)))**26 assuming r is positive.\nAnswer: r**(32344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = 2. Suppose -b*x + 26 = -2*x. Solve -7 - x = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 24 = u. Suppose 71 = 5*l + 33*x - 34*x, 0 = 5*x + 30. What is the remainder when u is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2. Let n(d) = -d - 1. Let i(c) = 2*c + 4. Let a(k) = i(k) + 3*n(k). Let l(f) = -f + 2. Let p(v) = -4*a(v) + 2*l(v). Calculate x(p(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1780 - 1780. Which is smaller: 30\/61 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 79880 = h, 4*h - 121*b + 319615 = -118*b. Round h to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66218, -66258, -66300, -66344?\nAnswer: -66390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfffvvvfffyffffvfy. What is prob of picking 2 v?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1570, 1588, 1606, 1618, 1618, 1600?\n\"Answer: -f**3 + 6*f**2 + 7*f + 1558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11112 (base 5) to base 16\nAnswer: 30e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-4) + (-600)\/(-20). Suppose 0 = 2*t - 4, 0 = 3*m - 4*t - 0*t - 4. Suppose m*r - q = r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 722 + -831.4. What is v rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4106.7 or -5\/79?\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*(y\/(y\/(y**(1\/7)\/y)*y)*y)\/y)**(6\/7) assuming y is positive.\nAnswer: y**(-106\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 217880, -6.\nAnswer: -6, -3, 217880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 24. Suppose 0 = -14*r - 4 + 32. Suppose -r*p - 80 = -4*y, 0*y - 4*y + 74 = p. Give t(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 177. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 44*n**2 + 75*n - 492. Let p be a(37). What is p rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*m + 6. Suppose -m*u + 8 = -0*u. Solve -p - u = 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/3 + 1904*b**3\/3 + 5826*b**2 - 57660*b = 0?\nAnswer: -15, 0, 6, 961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 621600 divided by 24864?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -106, -128, -152, -178?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Let o(g) = g. Calculate -c(f) + o(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 15\/7, -2, 1, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/180 + 4*a**5\/45 - 4*a**4\/9 - 9*a**2. Suppose o(d) = 0. Calculate d.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61777131 by -4752087.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let f(p) = -2 + 2 + 3*p**2. Determine a(f(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43497 + 43119. Which is the third smallest value? (a) y (b) 0.9 (c) -0.5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.02, 5, 2\/5, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2874, -3021, -3250, -3561?\n\"Answer: -41*o**2 - 24*o - 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -123 + 57\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.5, 0.1, 2\/3, 5, -0.4, 36, 83?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g. Let q(d) = 67*d**2 - 40*d**2 - 33*d**2. Give t(q(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012110210 + 2?\nAnswer: 1012110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 119, 110, 101, 92?\n\"Answer: -9*d + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 42 + 536*n - 535*n.\nAnswer: n + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 - 9*k + 3. Let d be a(4). Calculate the remainder when d - -2 - (-27 + -6 + 4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -132, -398, -884, -1656, -2780?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111111111111000100101 - 101?\nAnswer: -10000111111111111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 372051.1 litres?\nAnswer: 372051100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 27. Suppose 14 - 2 = i*m. Suppose 4*u - 248 = m*b, -b + 2*b = 4. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.02 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 - -416. Calculate the greatest common factor of r and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 2*i**2 - 2*i**2)*(0 + 0 + i) + 2*i**3 - 42*i + 62*i - 3*i**3 - 6*i**2 + 6*i**2 + 3*i**3 in the form a*i + o*i**3 + m*i**2 + f and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16098, 16115, 16136, 16161?\nAnswer: 16190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((3*2\/(-9))\/((-53)\/106))\/(126\/(-3591))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14935 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 139*a - 2510. Is z(-82) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)*(-1445)\/51. Is 11402 - ((-4)\/10 + 289\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -72. Suppose -6*w = -9*w + b. Which is bigger: w or 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:20 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 26420 = -5*m, 5*f - 2588 - 7980 = -2*m. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + p**2 - 4*p + p**2)*(2 - 2 + 3*p).\nAnswer: 6*p**3 - 6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 3:18 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 10*a + 259. Suppose 216 = 4*w - 4*n, 2*w - 133 = -2*n - a. Let t = w + -47. What is the remainder when 7 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3074, -6244, -9408, -12566?\nAnswer: -15718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 4, 40.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10816 = 533*y + 52*y + 91*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 1. Let b(a) = a**3 - 6*a**2 - 5*a + 10. Let f(d) = b(d) + 2*k(d). Suppose -260 + 70 = -20*u - 70. Calculate f(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2. Let i(a) = 717*a. Determine g(i(b)).\nAnswer: -1542267*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59177 or -58874?\nAnswer: -59177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2062*t - 2063*t + 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.61097 rounded to 2 dps?\nAnswer: -8.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 14\/3*(-144)\/(-56)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/10)\/(72\/(-120)). Which is the closest to -3? (a) y (b) 1 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 17*j - 2*j)*(-4 + 4 - 1).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671196257 - 671196257 + 919*x**2.\nAnswer: 919*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7033026 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -7362, 16 in increasing order.\nAnswer: -7362, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -802, -0.841, -0.3, 3 in descending order.\nAnswer: 3, -2\/19, -0.3, -0.841, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 10965 (c) -1 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669144773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let g(y) = 3*y**2 - 13*y. Let w(u) = -g(u) + 2*t(u). Let h(s) = 836 - 7636*s**2 + 0*s + 6*s + 7634*s**2 - 417 - 419. What is 5*h(c) - 3*w(c)?\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9\/4, -3, 2, -1\/6, -93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-11))\/(6\/15)*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*n**2 + 430*n**2 + 140*n**2 as p*n**2 + o*n + i and give p.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -719067.819 rounded to the nearest one thousand?\nAnswer: -719000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/462*(-5 - 1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**2 + 1118055*i + 260778260 = 0.\nAnswer: -233, 223844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**0*a**2*a)\/((a*a*a*a\/(a\/a**(-3\/8)*a))\/(a\/(a\/a**2)))*(a**(2\/5)*a)**(1\/6)\/(a*a**(-6)*a\/(a*a**(-1\/10))) assuming a is positive.\nAnswer: a**(1261\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/46*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30165479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-47)*(j**(-1))**(-5)*(j*j*j\/(j*j\/(j**(-1)\/j)*j*j))**(-46)\/(((j**6\/j)\/j)\/(j*j**(-2\/7)\/j)) assuming j is positive.\nAnswer: j**(642\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d**3 + 678*d + 2364. Let p(o) = 37*o**3 + 1359*o + 4729. Let a(r) = -11*k(r) + 6*p(r). What is the derivative of a(g) wrt g?\nAnswer: 6*g**2 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:26 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*o**2 + 6\/5 + 3\/5*o.\nAnswer: -3*(o - 2)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 greater than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -4)*(-1 - -1). Suppose -4*n + f = -65, -2*f - 66 = -4*n - y*f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5846*-1.\nAnswer: 5846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 10, 18, 36, 70?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*b - 37. Suppose 3*o = 4*a - 23, -b*o - 4*a + 21 = a. Let y be (o\/(-3))\/(4\/132). Calculate the highest common factor of 55 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 430293*l\/2 - 6668100.\nAnswer: -3*(l - 143400)*(l - 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 5*o**2 + 5*o - 3. Let m be z(2). Let l(v) = 4*v + 6. List the prime factors of l(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1514*o**3 + 3030*o**2 + 1518*o + 2 = 0. What is o?\nAnswer: -1, -1\/757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 1 + 24 + -24 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 0\/(-2). Let f = 3 - 2.8. What is the closest to 0 in -5, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (226\/10)\/(2\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, -26, -2\/9, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -16. Suppose -5*b - 101 = 3*s, 37 = -0*b - b + 5*s. Let x = b - -16. Put -1, g, x in decreasing order.\nAnswer: g, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -100 - (-1 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = -4*b, -k + 2*b = -2*b + 5. Is k > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4004841865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6955 + 13909\/2. Which is the nearest to 10? (a) -1 (b) t (c) -5\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.07. Let q = 0.04 + d. Sort q, 3, -0.3 in increasing order.\nAnswer: -0.3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 - 7 = -y, y - 9 = 3*l. Suppose 5 + y = j. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**3\/7 + 548*w**2\/7 - 11384*w\/7 + 2944 = 0.\nAnswer: 2, 23, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1052.34 * 4\nAnswer: 4209.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-5 + (-48)\/(-10)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 21*l + 10. Suppose 9*g - 2*g = 70. Let k be r(g). Solve k = 5*u - 12 - 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-21))\/((-45)\/14))\/((-1632)\/1224)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*b - 19, -4 + 3 = w + 5*b. What is the remainder when 21\/w*-50 + 2 + -4 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9211\/115290*9 + (-2)\/(-42) and (-78)\/45*(-2)\/28.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, r: 13}. What is prob of sequence ttt?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4680 by -6.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 + 18*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1103 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059 (base 14) in base 12?\nAnswer: 108bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 604410011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:16 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22016266 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: Sort -4, -622, 9, 2, 0, 1, -5 in decreasing order.\nAnswer: 9, 2, 1, 0, -4, -5, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2697.31 + 0.3129319?\nAnswer: -2696.9970681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y**2 + y - 13. Let z be s(3). Sort -3, 4, z, -2 in ascending order.\nAnswer: -3, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672 divided by 96.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*t = 10, -5*v + 91 = -2*t + 95 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 9 + 13 - 2*b**2 - 2)*(-3 - 4 + 0) to the form i*b**2 + f*b + z and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 14*h**2 - 14*h - 21. What is k(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:01 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o**3 - 29*o - 2. Let f(g) = 129*g**3 - 144*g - 11. Let c(i) = -2*f(i) + 11*m(i). What is the second derivative of c(b) wrt b?\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/13 - 3651066*y**2\/13 + 1666283541510*y\/13 + 1666287192578\/13.\nAnswer: 2*(y - 912767)**2*(y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 185*l + 452*l + 3 + 305*l - 157*l + 2*l**2.\nAnswer: 2*l**2 + 785*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 1043935*d - 25054632.\nAnswer: (d - 3131829)*(d + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2. Solve 5*x - 2*m + 24 = -5*m, j*x = -5*m - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15102 + 15103. Sort 2\/11, 91, -0.1, -49, c in decreasing order.\nAnswer: 91, c, 2\/11, -0.1, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185935 by 5.\nAnswer: 37187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3840143 + -3?\nAnswer: 3840140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 4 = 0. Suppose 5*o = -5*c + 60, 7*c - 6*c = 2*o + 24. Calculate the greatest common divisor of n and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - (12 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j - 39 = -37*j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3332233110 (base 4) to base 12\nAnswer: -4239b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333.1814 millilitres to litres.\nAnswer: 0.3331814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-9))\/8)\/(6\/27)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 265828049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Is 1 + 6 + w - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/((-8)\/15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7604629201+-21\nAnswer: -7604629222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 1. Let t be (-54)\/(-16) - (9 - x). Which is the smallest value? (a) 3 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-6)\/(-45)*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j**4 - 333*j - 2091.\nAnswer: 20*j**3 - 333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q)*(-42 + 7 - 2).\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, c: 3}. What is prob of sequence ecj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202034 + 0?\nAnswer: -202034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*5632\/(-11704)*-1.\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k + 2. Let z(s) = 39*s**2 + 14*s - 18. Let b(d) = -55*d**2 - 21*d + 26. Let f(p) = -5*b(p) - 7*z(p). Give 4*f(j) + 9*x(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 15*y + 266. What is k(17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -v - 3*m - 11, -11 = -4*v - m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r - 3*x + 9 = -37*r, r - 6 = -2*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0513*-0.2\nAnswer: 0.01026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 1. Suppose -2*b = 3*y + 10, -4*y + 0*b - 12 = 2*b. Let k(m) = -12*m + 5. Determine y*k(n) + 9*h(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -5. Suppose -4*o + 2*o = -x. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851733?\nAnswer: 3, 109, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n + 5*c + 8, -c - 9 = 5*n. Let o(p) = -6*p + 177. Let b be o(30). Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -36876 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 + 3*z**5 + 5*z**5 + z**3 - z**3 + 2*z**5 + 5*z**5 - z**5 - 2*z**5 + (-z**4 + 2*z**4 - 3*z**4)*(-2 + 3*z + 2) + 4*z**3 - 4*z**3 - 2*z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.201 rounded to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62398124 and -120484?\nAnswer: 62277640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 1556*o + 1578. Let f(w) = w**2 - 390*w + 395. Let g(a) = -26*f(a) + 6*r(a). Suppose g(x) = 0. What is x?\nAnswer: 1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3, -5*c - 6*m = -4*m - 28. Suppose -c = -3*s + 3. Suppose s*x - 4*n = -2*n + 10, -n + 16 = 2*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(sqrt(17) + -1) + -3)**2*3 + 0.\nAnswer: 72*sqrt(17) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a4dbd - 0?\nAnswer: 1a4dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yobovyboyoy. What is prob of sequence oooy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + i = 221, 47 = 2*z - z + 3*i. What is the greatest common factor of 462 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22835 + -135803\/6. Suppose -4*c + 160 = -3*d + 782, 20 = -5*c. Let h = s - d. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3003370 = -4*v - 843386. Suppose v = -2*h - 4*b, -b = 4*b - 5. Round h to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677470 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17454, -69528, -156318, -277824, -434046, -624984, -850638?\nAnswer: -1111008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.07 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/16*(-2)\/3. Let g*r**2 - 2*r + 3 = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/3 + 11653*j. Let f(g) = 5067*g. Calculate y(f(t)).\nAnswer: 102697956*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - -17. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*c - 3, -1 = -g + 4*g + 5*c. Let i = 2 + g. Find the second derivative of -v - 4*v**5 + i*v + 2*v**5 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 636 and 21889?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 13?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-seven quarters of a meter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.38137 to 1 decimal place.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10802*l + 11740*l = -1510314 for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 50 - 14)*(-4 + 3 + 4)*(4 - 3*r - 4)*(1 + 2 - 1).\nAnswer: -396*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 423, 858, 1307, 1776, 2271, 2798, 3363, 3972?\nAnswer: 4631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14258, -4, 2 in decreasing order.\nAnswer: 2, -1, -4, -14258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.92 - -8. Let q = j + 0.11. Let n = 0.19 + q. Round n to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438 divided by 234\nAnswer: 73\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 3)*9\/6. Let o(s) be the first derivative of -2*s**4 - 4*s**3\/3 - 3*s**2\/2 + 2*s + 3. Is o(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, q: 3}. What is prob of sequence uuq?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b**7\/7 - b**6\/2 - 32*b**3\/3 - 2*b - 10. Find the third derivative of d(x) wrt x.\nAnswer: 480*x**3 - 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/5 (b) 0.044 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(12\/(-8)*36\/(-27)). Let g(z) be the second derivative of i - 13*z - 1\/3*z**3 + 1\/6*z**4 + 1\/10*z**5 - z**2. Factor g(j).\nAnswer: 2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7.3. Sort o, 0.2, -0.2 in decreasing order.\nAnswer: 0.2, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 46, -0.2, -2, -0.3, -2\/7?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181701 is divided by 21682?\nAnswer: 8245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*w - 200 = 151*w + 155*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*r - 45*r + 3*r**3 - r**2 + (-1 + 1 - 1)*(-4*r**3 + 6*r**3 - r**3) + 48*r**2 - 13*r - r**3 - 48*r**2.\nAnswer: r**3 - r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-2\/5))**(13\/4)*(c**0)**25*(c**(-1\/3))**(-18\/7) assuming c is positive.\nAnswer: c**(-31\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1235)\/(-91) - 13)*14\/4. Find the third derivative of -25*k**6 - 64*k**6 - 6*k**2 + 32*k**2 + 56*k**s wrt k.\nAnswer: -10680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + -2 + (106491\/(-42))\/(3\/(-42))?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - -0.45. Suppose -22*k + 40 = -30*k. Sort b, -1\/7, k in decreasing order.\nAnswer: b, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130443*l = 130438*l + 50 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 180 = 12*y. Suppose 0*c = c - 54. What is the greatest common divisor of y and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {q: 1, w: 1, s: 4, o: 1, x: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/((-3)\/(-6)). Suppose -1226*t + 2462*t + 1107 = 1263*t. Calculate the remainder when 2 + (c - 3) - -77 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2)\/4*-16. Suppose -4*g + 16 = -4*r, -2*r + 2*g - x = -3*r. Solve -2*v - 2 + r = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124885 is divided by 41545?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 8*z + 17. Determine a(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 6*h - 3. Let k be (-2)\/(8\/28)*-1. Let c be j(k). Solve -3*x - 11 = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 5. Let t(r) = 1. Determine -t(l) + z(l).\nAnswer: -2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22507*a - 7936 = 22763*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33902.69 litres in millilitres?\nAnswer: 33902690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -5. Let h be (-4)\/4*1 + z. Solve h*x = 5*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801073407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 2*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(1\/2)\/a*a*a*a*a)))**(-19\/2)*a**(-8)*a**(-2\/5) assuming a is positive.\nAnswer: a**(-833\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 - 247 = -14*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 - y + 1. Let a be c(1). Suppose -2*s + a*z = 5, 3*s + 1 = -5*z + 6. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**3 + 58*o**3 - 57*o - 35*o**3 + 74*o.\nAnswer: -16*o**3 + 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 - q**2 + 8*q - 4. Let a(c) = 14*c**3 - 3*c**2 + 23*c - 11. Let o(x) = -6*a(x) + 17*g(x). Calculate o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6025 and 228112525.\nAnswer: 6025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2719*v**4 + 7*v - 2752*v**4 + 18*v**3 + v**2 - 20*v**3 - 3 as p*v**4 + q*v + z + m*v**3 + y*v**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81\/1183? (a) 0.5 (b) -0.1 (c) 4 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5772 and -2?\nAnswer: 11544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1311 - 36 = 0. What is the common denominator of -85\/16 and ((-4)\/80)\/(4\/l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 154*w**2 + 3271*w + 85. Is b(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4730977.\nAnswer: 61, 77557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2380581 - -32a?\nAnswer: -2380252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -6667\nAnswer: 3\/6667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/(3*(-1)\/54). Suppose -8 = -4*i, -c*i = -5*u - 22*i + 191. What is the remainder when 180 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a second in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*r = 142, -88 = -3*a + 57888*r - 57884*r + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-20)\/(-11) - 106\/22. Put 4, d, 1 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371287021 divided by -3120059.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 88?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7194 and 0.0816.\nAnswer: 587.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 9*k + k + q + 1 = 0, -2*q + 4 = -11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + (-77 - (-20 - -38) - (6 - 8)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 147, -0.4, 7, 0.2099?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -896, -1991, -3524, -5495?\nAnswer: -7904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/16)*c*c*c**26*c)\/((c\/(c\/(c*c**(1\/13)*c)))\/c**(-10)))**(-3\/5) assuming c is positive.\nAnswer: c**(-10599\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39004)\/(-12537))\/(49\/42)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 19 = 3*j + 3*u, 2*j + u + 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 31*i**3 + 10*i + 391 - 10*i - 197 + 12*i**3.\nAnswer: 43*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1627578)\/(-27) + 28\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -26 - (0 + -3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4354)\/35)\/(10\/(-25)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2200200 (base 3) to base 6\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 35. Let v be k(6). Suppose -6*z - 19 + v = 0. Solve z*x - 3 + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -3*c**5\/10 + c**4\/2 + c**3 - 2189*c - 2. Let i(g) = 6*g**3 - 7*g**2 - 7*g. Give 7*b(q) + 6*i(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4*q**3 - n**4*q + 838*n**3*q**3 + 4*n**2*q**2 - 1037*n*q**3 wrt n.\nAnswer: 48*n*q**3 - 24*n*q + 5028*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -4.164\nAnswer: 12.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -36 - 3*z**2 + 36. Let t(g) = 0*g**2 + 2*g**2 + 0*g**2. Determine b(t(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 24*a**2 - 44*a - 4. What is u(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwikllwllklkwlklklw. Give prob of picking 1 w, 2 k, and 1 l.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31 + 110*f + 125 - 51. What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 459245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:22 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25332?\nAnswer: 2, 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-105)\/(-12))*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8886*m**2\/5 - 373216*m\/15 + 56\/15 = 0 for m.\nAnswer: 2\/13329, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3+721\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.076 minus -42972?\nAnswer: 42969.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, d: 10, m: 4}. What is prob of picking 1 d and 3 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 7*y - 4. Let a(q) = -q**2 - 4*q - 2. Let f(g) = 5*a(g) - 2*n(g). Let r be f(-5). What are the prime factors of (11 - 3)*r\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3526 - 3247. Calculate the least common multiple of p and 54.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) 9924 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 33*u**2 + 4*u + 4. Let s(y) be the first derivative of 65*y**3\/3 + 7*y**2\/2 + 7*y + 1825. Give 7*d(o) - 4*s(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18469, -18472, -18475, -18478, -18481?\nAnswer: -18484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-854)\/(-98) + (-30)\/(-7) + 0 + -4. Solve -r - b + 0 = -5*m, -4*m = 4*r - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 + r - 1. Let j = 0 - -1. Let a(m) = -3*m**3 - 6*m**2 - 3*m + 3. Let f(q) = j*a(q) + 3*z(q). Find the third derivative of f(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -788183 or -788176?\nAnswer: -788183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1251?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299\/90 + -31\/10. What is the nearest to -12 in h, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 52?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/319 at least as big as 2254\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279028.\nAnswer: 2, 79, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/3 + 94*x**3 - 1348*x**2\/3 - 544*x = 0 for x.\nAnswer: -1, 0, 6, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x + 19*x + 21*x)*(-x + 1 - 1) + (2*x - 3*x - x)*(-2*x - 2*x + 5*x) + (-x + x**2 + x)*(2 + 4 - 5) + 0*x**2 + x**2 + x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, 0.4, 99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 + 6. Let h be k(3). Suppose 5*m - 39 + 14 = -2*l, m - 1 = 0. What is the lowest common multiple of h\/10*270\/(-36) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5610 and -0.071.\nAnswer: 5609.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74836581 to the power of 1\/2, to the nearest integer?\nAnswer: 8651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyyyyyy. Give prob of picking 1 t and 3 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/8 - g**2. Let b(k) = -3*k + 3*k + 6*k - 4*k. Calculate q(b(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 539 + -544. Let h be (56\/12)\/7*(-3)\/6. Which is the third smallest value? (a) -3 (b) h (c) t (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235630 + 231792 - 173758 = 133*z. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 269*s**3 - 3*s**2 + s - 12. Let l be q(4). Suppose 5232 = -24*n + l. What are the prime factors of n?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63713020841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 846, 2034, 3704?\nAnswer: 5856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 7\/3 (c) 41 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 79704*y + 529393968 = 0 for y.\nAnswer: 13284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 - 2 = 0. Suppose 0 = k + 3*k - 64. Suppose -h - k = -p*h. Solve h*n - 15 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3638726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 94 + 13 = -24*n, -4*n - 3*c + c = c + c - 52 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u + 1078 = -3*d, -4*d + 452 = 2*u. What is the third derivative of -5*k**2 + 104*k**3 + 0*k**2 - u*k**3 wrt k?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*b - 194. Let z be 5 + (-3 - 1) + 3. Suppose -z*x + 2*q + 61 = -3*q, -2*q - b = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40476.93544 rounded to zero dps?\nAnswer: 40477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Let g = -5.1 + v. Let i = 0.0838 + -0.4838. Sort -0.05, i, g in descending order.\nAnswer: -0.05, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1810 + 1815. What is the nearest to -1 in s, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(72) + sqrt(72) + sqrt(72)*2*-6 + sqrt(72))\/(sqrt(90)\/(2*sqrt(10) - sqrt(10)) + sqrt(1089)*-1).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15975 divided by -3195?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34276 by -779.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 5*b**3 + b - 4*b + 24*b**3 + b**4 as g*b**3 + m*b**4 + d + q*b**2 + c*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 1\/3*i**3 + 0 - 1\/8*i**4 - 19\/2*i**2 - 38*i. Let j(x) be the first derivative of l(x). Determine j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -11. Suppose -4*s = 2*y - 62, i = 5*y - 2*s - 116. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13163115519 - -13163095640.021763. Let o = 19966.97823819 + d. Let p = -88 + o. Round p to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5883.017 grams?\nAnswer: 5883017000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1 + (-2 - 0). Suppose -3*t - 5 = -2*o - 1, -5*o + 25 = p. Let g = 2 + t. Solve l = 3*v - 19, -3*l + 4*v - 28 = g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -3, 1975, 116.\nAnswer: -5, -3, -2, 5, 116, 1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18966 or 576?\nAnswer: 18966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, -91214, 1\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:19 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1243\/565 - (680\/25 + 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - f**2 - f**2 - 1 + 0*f**2 - 3*f + 2*f**3. What is the remainder when x(3) is divided by (-45)\/(-6) + (1 - (-3)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 7*v**2 - 5*v - 7. Let d be s(9). Let x = 0 - -10. Is 10 a factor of d\/70 + 4\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - 0*(-15)\/30. Solve -20*r + w = -9*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 - 123 = -28*u. Calculate the lowest common multiple of u and 86.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 t when three letters picked without replacement from {x: 1, t: 4, n: 3, k: 2, d: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2103, 2827, 3565, 4323, 5107, 5923, 6777, 7675?\nAnswer: 8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/44)\/((-60)\/22).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 53*g + 2. Let v(m) = -747*m. What is s(v(j))?\nAnswer: -39591*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (-3*sqrt(110)*6 - sqrt(110)))\/sqrt(10))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -7\/12*h**4 + 0*h**3 - 8*h + 0 + 0*h**2. Let l(v) = -2*v. Determine l(p(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 40*w**3 + 5*w**2 + 40*w.\nAnswer: -5*w*(w - 1)*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 924458731 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 49070\/(-6290) + (-1616)\/2176 + (-30)\/(-48).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1998508 and -53\/16?\nAnswer: 7994032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 12. Let j be z(-9). Suppose j + 2 = -5*m. Which is smaller: m or 3\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75 and -534.\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3075*j**2 + 2*j + 3075*j**2 - 11*j**3 - 44 as f*j**3 + w*j**2 + x*j + k and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 5*h**2 - h - 13. Let t be a(-5). Calculate the highest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 123 = 6*u, 3*h - 5*h - u - 4*u + 102 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62025 divided by -3.\nAnswer: 20675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189\/4 - -47. Which is the closest to -2\/5? (a) -1\/11 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103 (base 10) in base 6?\nAnswer: 140355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 + z - 2. Let p = 19 - 16. Suppose 0*y + p*y = 3. Let s be y\/((-1)\/1)*-1. Let g(r) = -r**2. What is s*u(i) - 6*g(i)?\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*h + 0 + h**3 + 2*h**3 - 2*h**3 + 3*h**3 + (-14*h + 44 - 44)*(-4 + 4 - 3*h**2).\nAnswer: 46*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*j = 168, -2*g - 2*j + 210 = 3*g. Suppose 292 - g = l. Let b = l - 167. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.3, 4, -2292, 1, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -0.1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2236\/(-26) + 88)*1*1\/9. What is the second smallest value in 0, v, -0.03, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7374 + 11814. List the prime factors of d.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**9\/3780 + p**8\/240 + p**7\/105 - p**4\/24 - p**3\/2 - 76*p**2. Let n(j) be the second derivative of i(j). Factor n(r).\nAnswer: 4*r**2*(r + 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 129. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 8, -4, 41 in decreasing order.\nAnswer: 41, 8, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 173*c**3 + 456*c**3 + 172*c**3 - 16*c**2 - 803*c**3 + 9*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 5 = 0, -374 = -4*h - 2*q. Let c be 52\/h - 328\/(-14). Is (342\/c)\/((-3)\/(-16)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k + k**2 - 158 + 5*k + 170. Let a be o(-11). Let t(h) = -4*h**2 + h + 4. Let l(n) = n**2 - 1 - n + 0*n + 0. Give a*t(r) + 3*l(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 194 + -6 + 7 + -1. Let o = b + -74. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74532, -296599, -666710, -1184865?\n\"Answer: -74022*v**2 - v - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {g: 2, p: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189*g**3 + 273*g**3 - 140*g**3 - 189*g**2 wrt g.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -138. Let z(f) be the second derivative of -f**3\/6 - f. Let g be z(-4). Which is the third biggest value? (a) g (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(0 - 6\/(-4)). Let i(d) = 60*d**2 - 10*d + 11. Let t be i(2). Let c = t - 231. Solve k*l - 2 + 4 = c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 12213.991 - 12207. Let h = 203 + -203.109. Let y = o - h. Round y to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 24. Let c be (-1)\/27*(i + 8). What is the fourth smallest value in 5, 1, 4, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3892 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19150449*w**2 + w - 4. Let z be g(-2). Suppose 5*j - z = -17601790. Round j to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 - -7 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 10005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffp when three letters picked without replacement from {f: 10, p: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1428 and 28505379?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(17280\/40))\/((-2)\/8). Which is smaller: r or 30\/101?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2812721 divided by -7\nAnswer: 2812721\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 4, c: 1, z: 5, i: 1, g: 5}. Give prob of picking 1 o, 1 z, 1 t, and 1 g.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -3, -24, 1 in increasing order.\nAnswer: -24, -3, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 16.2. Put 2, m, -2\/5 in ascending order.\nAnswer: m, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**4 - 55*w**3 + 491.\nAnswer: 8*w**3 - 165*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 - 7*d + 12. Give t(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/9 + 11680*g\/9 + 17052800\/9 = 0.\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781\/22 + (-225)\/50.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85, -795, -2727, -6493, -12705, -21975, -34915, -52137?\n\"Answer: -102*s**3 + s**2 + s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143.97 + -1.97. Let g = -153.4 + z. Let i = 8.4 + g. Which is the nearest to i? (a) -2\/3 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2837778?\nAnswer: -2837774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*x - 6229, 2*d + 9*x = 5*x + 6226. Suppose 4*b - 2*n = 2810, d = 3*b - 3*n + 1004. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85322430 to the power of 1\/2, to the nearest integer?\nAnswer: 9237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1229727\/172 > -7149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 10*i - 9. Let b be j(11). Let s be (-4)\/2*(-5)\/b. Which is smaller: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1751*q**2 - 3034 wrt q.\nAnswer: -3502*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2 - (-1 + -1)). Let c be 129\/27 + 4\/18. Suppose 0 = c*d - b*d - 5. Sort -2, d, 4 in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 13*v**3 - 13 + 3*v**2 + 6 - 25*v**3 + 4 to the form l*v**2 + m*v + d + a*v**4 + q*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40282963 is divided by 3505?\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-315)*-5*-9. Let m = 3 - 6. Let x = m - -3. Sort x, v, -1\/3 in decreasing order.\nAnswer: x, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -3*a**4\/4 + 11*a**3\/6 - 13*a + 33. Let x(k) = 7*k. Calculate h(x(o)).\nAnswer: -441*o**2 + 77*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t\/t**(-20)*t)\/t)\/t)\/t**(-2\/17))\/((t**11*t)\/((t*t**5)\/t)) assuming t is positive.\nAnswer: t**(257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g\/(g\/((g*g\/(g*g*g*g\/(g*((g\/((g*g*g**(-2)*g*g)\/g))\/g)\/g*g)*g))\/g*g))))**(10\/13))**(-4\/17) assuming g is positive.\nAnswer: g**(-240\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 2. Let a be y(2). Suppose 2*j = -0*j - a. Let z(x) = -x**3 - 5*x**2 + 0*x**3 - 6681904*x + 6681903*x + 1. What is z(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(-1 + sqrt(11) - sqrt(11)) + sqrt(176) + 0))**2 + 0.\nAnswer: -1200*sqrt(11) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 36, 0 in descending order.\nAnswer: 36, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -174, -140, -84, 0, 118, 276, 480?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/11 (c) -4 (d) 51 (e) 0.2 (f) 2\/63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.056447 to two dps.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -108350 rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, 8, -3 in descending order.\nAnswer: 23, 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, s: 5, j: 3}. What is prob of picking 1 f, 1 j, and 1 s?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -51. Put b, 0.3, -1, -0.5 in ascending order.\nAnswer: b, -1, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(65) + sqrt(65))\/(1*sqrt(5)*-1).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 108.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 27720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127317*u**2 - 101666*u wrt u.\nAnswer: -254634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/8)\/(-1 - (-12)\/16). Which is the fourth smallest value? (a) g (b) -1\/19 (c) 4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -45. Let t be 1 + y + -4 + 6. Let v(h) = 20*h**2 - 3*h + 2. Let a be v(t). What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 2 l when four letters picked without replacement from tpptgtppppqpgppllpp.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -1120110010120100?\nAnswer: 1120110010120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(-1) + (31 - 36958\/816 - -11)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltrttttttlttsss. Give prob of sequence llt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t - 12 = 0. Let c be 38*(2 - t\/(-2)). Suppose 4*w - c = -7. Solve -2*m = -w*u + 2, 2*u = -2*m - 9 - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 17547?\nAnswer: 17543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00993653 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 80 = 3*v, 4*p + 4*v - 39 = -103. Suppose 4*t = 3*s + 508, 2*t - 268 = 6*s - 8*s. What is the remainder when 85 is divided by (0 - t\/p) + (-5)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35470302 and 2666940.\nAnswer: 354703020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15415, -15369, -15347, -15361, -15423?\n\"Answer: -2*x**3 + 60*x - 15473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -3. Let r(h) be the second derivative of 1\/20*h**5 + 0 + 0*h**3 + h**2 + 0*h**4 + s*h. Differentiate r(b) with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -524, -1053, -1572, -2075, -2556, -3009, -3428?\n\"Answer: a**3 - a**2 - 533*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233425 (base 6) in base 16?\nAnswer: -10559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:40 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) -5 (c) -0.4 (d) -2 (e) 331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 215 = -203 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t + 10. Is 22 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + ((-16)\/4 - -3). What is the third derivative of 7*v**5 - 3*v**4 + s*v**4 - v**4 - 5*v**2 wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 5297, 17979, 42667, 83363?\nAnswer: 144069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-45)*(-489)\/36 - (-28)\/(-21).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v + 4. Let r(i) = 5*i - 1. Let j(m) = 3*m. Let k(o) = -5*j(o) + 2*r(o). Let s(b) = -13*k(b) - 6*q(b). Calculate s(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 l, and 1 k when four letters picked without replacement from {j: 4, l: 3, n: 4, k: 1, t: 1}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1991686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 539 - 569. What is the nearest to i in -1, 1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-4))\/((-4)\/20*(-410)\/(-164))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8828 is divided by 392.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102))\/sqrt(6) + sqrt(272) + 1 + (5*(sqrt(2448) - (-2 + sqrt(2448)*-1)))**2.\nAnswer: 2406*sqrt(17) + 244901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-65 - (-65 + 29))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*u - 4*u + 363, -3*u = -3*m - 291. Suppose -4*r + u = 4*y, -2*y = -0*y - 5*r - 39. Let j = 11 + y. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/((-18)\/3)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 156\/(-117)*(-54)\/8. Suppose 0 = -4*w - 9 + v. Factor w - 5*d - 5\/2*d**3 - 15\/2*d**2.\nAnswer: -5*d*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 4*(-30)\/80*-118?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {u: 3, s: 6, w: 3, n: 5}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4316 and 3864822.\nAnswer: 641560452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -2\/5, -9, 722, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*c**3 - 156*c**3 + 459*c**3 - 152*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 13. Suppose -58 = -3*f + o. Solve 5*i + 16 = 3*s, -5*s = 4*i - 3*i + f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11025 and 207531954.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 14370859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -699, -4940, -16287, -38298, -74531, -128544, -203895, -304142?\n\"Answer: -593*n**3 + 5*n**2 - 105*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 125 = 21*s. What is the highest common factor of s and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6139*i + 4963*i + 857*i + 3*i - 5*i + 3*i + (-1 + 1 + 2*i)*(-2 + 5 - 1) as s + g*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 10) to base 14\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**15\/(l**0\/(l**(-3\/13)*l)) assuming l is positive.\nAnswer: l**(790\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/2247 and 149\/14424?\nAnswer: 10803576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989170000.\nAnswer: 2, 5, 7, 13, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 2*c - 2. What is i(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228\/1373 or -1?\nAnswer: -228\/1373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 220294381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*b**5 - 2788*b**4 - b**3 - 1133*b**2 + 20*b - 2.\nAnswer: 3000*b**2 - 66912*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 491 + 161 = -7*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.723171 millilitres to litres.\nAnswer: 0.002723171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -917193, -917198, -917207, -917220, -917237, -917258, -917283?\n\"Answer: -2*s**2 + s - 917192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2172 + 2210. Solve 0 = 4*x - s + 46 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 1\/48*o**4 + 1\/120*o**5 + 0*o + 4*o**2 - 1\/6*o**3 - 5. Let b(g) be the second derivative of n(g). Factor b(d).\nAnswer: (d - 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(3 + -3 + -2). Let l = 17 - s. Suppose -4*n + u = -121, -4*n + 98 + 43 = -l*u. What is the highest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose -7 = -2*h + 7*h - 3*z, -5*h = -z - 1. Let o = k + h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, c - 8*s + 11*s = 57. Suppose 0 = -2*h + 305 - c. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*b - 539*b - 308*b + 400*b.\nAnswer: -1240*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -5222 + 20094. Does 88 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -162.45 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:06 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(891) - (sqrt(891) - (sqrt(891) + 3))).\nAnswer: 12 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*i**5 - 689*i**4 - 60*i**3 - 15*i + 2562212?\nAnswer: -2940*i**3 - 8268*i**2 - 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + x + 292 = 0, 3*r - 24 = -271*x + 266*x. Suppose -2*i + 40 = -0*i. What is the highest common factor of r and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/7 + 209\/7. Let b be 38\/14 + (-4)\/(-14). Suppose -b*t = -k + 6. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 2\/(-8))\/(14\/(-28)). Sort g, -0.1, 5, -1 in descending order.\nAnswer: 5, g, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**2 - 11292028*u - 4839438 = 0. What is u?\nAnswer: -806573, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.02 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 12) + -35 + 30 - -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 23*s**6\/30 - 11*s**2 + 13*s. Differentiate l(z) with respect to z.\nAnswer: 92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrrrqqnnrnq. What is prob of picking 2 r and 1 q?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/10 + -2 - 1) + 6. Which is the third biggest value? (a) 7 (b) m (c) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117143, 234432, 351721, 469010, 586299?\n\"Answer: 117289*s - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usuu when four letters picked without replacement from sssuusuussuussuusuu.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 11 + 79. Let n = -20 - g. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 47006795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 6, 0.187, 1\/2, -3, 5?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -249, -281, -313, -345?\n\"Answer: -32*q - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -7820?\nAnswer: -7812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 40.19002 decades?\nAnswer: 0.4019002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20212102211 + 2120?\nAnswer: 20212112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1296\/624)\/(7\/91)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2866, -5734, -8602, -11470, -14338?\nAnswer: -17206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -268 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8286 + 8283 = -u. Solve 8 = 6*x - t, u*x = x - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 1\/8 (c) -0.1 (d) -9\/148 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1 + 5*b + 0 - 5. Let v = 262 + -253. Calculate the remainder when o(4) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2908100)\/(-364) + (-24)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 3*z + 29, -5*z - 25 = -2*m. Solve -5*t + 3*l - 25 = 0, 2*t + m*l = -6 - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84170412 to the nearest integer?\nAnswer: 9174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let o be u(-2). Suppose -o*g + 5 = g. Let x(l) = l**3 - 13*l**2 - 28*l - 27. Let y be x(15). Sort g, y, -3 in descending order.\nAnswer: y, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361.000008 - 361. What is o rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2070 - 2041. Solve h*v = 30*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(7\/8))**(38\/7))**(-19) assuming y is positive.\nAnswer: y**(-361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4213, -8418, -12625, -16834?\nAnswer: -21045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) + 2)**2*4 + -5.\nAnswer: -112*sqrt(2) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(7\/(-2) + 4). Differentiate 57 - 5 - 15 - 20*l**o - 24 with respect to l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 5*g + 4*b - 2, -38 = -9*g + 5*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -j - 22, -r + 10*j + 5 = 5*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1560?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2073 and -2\/559 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -36*a**2 + 2234*a - 117. What is v(62)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = g - 39, 2*g + 5*o - 130 + 52 = 0. Calculate the remainder when 153 is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3 - 2. Sort 3, -2, r in increasing order.\nAnswer: -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 6) to base 16.\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let a = 2 + d. Is (2\/(-6) - a)*-57 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhmmmhmmm. Give prob of sequence hh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5689 a factor of 423935011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -34. Suppose 0 = -h*n + 11*n. Solve -7 = -3*w - 4*a - n*a, -3*w + 25 = -5*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.5957 and -32.\nAnswer: 275.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -57.1. Let d = k + 0.9. Which is the second smallest value? (a) 1 (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let n be (-2)\/((-6)\/15) - q. Find d, given that 6*d**3 + 2*d**2 + 4*d**5 - 2*d**5 + 0*d**n + 6*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = u. List the prime factors of (u - -8)\/(3\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, -30, -95, -194, -333, -518?\n\"Answer: -s**3 - 8*s**2 - 6*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720) - ((-1*sqrt(270))\/sqrt(6) + sqrt(45)))\/((6*-2*sqrt(81))\/sqrt(9)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 138. Put 3, 2, k, -0.5 in descending order.\nAnswer: 3, 2, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/30 - q**4 - 19*q**3\/2 - 17*q**2. Let g be a(-9). Sort -5, 0.4, g in descending order.\nAnswer: 0.4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 1262*h**2 + 186112*h - 6217728.\nAnswer: -2*(h - 64)**2*(h + 759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1201 - -1821. Is q\/60 - (-2)\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 - 4*u**2 + u**2)*(-29 + 29 - 9*u) to v*u**2 + w*u**3 + d*u + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1096)\/(-3014) + (-846)\/(-33)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2620*x + 76. Let f(n) = n**2. Determine t(f(p)).\nAnswer: 2620*p**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 256 + 232 = 0. Let c = -145 - b. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-60) + -22 + 3780\/150)*524\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74.793 + 75. Let n = c - -7.393. Sort n, -4, 0.\nAnswer: -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-125*4960\/6200?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/4*(-2)\/(-4) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -631*c + 85886. What is k(136)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(12\/11)\/(d**11\/d**(-1\/7)) assuming d is positive.\nAnswer: d**(-606\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.9 - -29.9. Let x = 0.4 + 0. Let f = x - 0. What is the closest to i in f, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + 4*d\/3 + 8\/3.\nAnswer: (d + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2034 and 7458?\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4 - 4*k**3\/3 + 7*k**2\/2 - 2*k - 18. Find the second derivative of l(f) wrt f.\nAnswer: 24*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 87 = -15. Let a be 7 + (0 - c\/(-3)). Solve 2*b + 13 = a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-882)\/(-105))\/(2\/5). Let v = -16 + a. Let q(l) = -116*l**2 - 136*l - 56. Let c(j) = -77*j**2 - 91*j - 37. Let f(w) = v*q(w) - 8*c(w). Factor f(u).\nAnswer: 4*(3*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjj when four letters picked without replacement from {l: 3, s: 2, j: 4, t: 4, i: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.967 - -453.967. Let l = f + -452.0064. Let r = 1 - l. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006942207, -2006942206, -2006942205, -2006942204, -2006942203?\nAnswer: -2006942202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1573614 and 91799188.\nAnswer: 91799188.1573614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 1\/16 (c) 9 (d) -4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534684590.\nAnswer: 2, 5, 11, 31, 156799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 27 - 25. Let n(j) = 24*j**2 - j**w + 0 + 0. Let h(z) = -z. Calculate h(n(u)).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(((-14)\/(-12))\/(-7)). Solve -y*q - 3 = -8*q + 4*i, 2*i = -2*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1)\/sqrt(2) + (sqrt(52)\/sqrt(4)*-6 - sqrt(13) - (-3 + sqrt(52))).\nAnswer: -16*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23353, 186743, 630215, 1493809, 2917565, 5041523?\nAnswer: 8005723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((1 - -2) + 23 + -23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -619\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -33.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = 4*p. Let b(y) = y**2 - 14*y - 22. Let w be b(16). Calculate the remainder when ((-12)\/w)\/(((-14)\/315)\/1) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318279 is divided by 730?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + -1 + (sqrt(448) + -2)*4 + (sqrt(448)*-2*4)**2*-2.\nAnswer: -57349 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 615661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*h**3*o**2 + h**3*o + 380*h**3 with respect to o.\nAnswer: -538*h**3*o + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 38 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.169 + -0.569. Put 2\/15, -1\/3, b in descending order.\nAnswer: 2\/15, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 32410.\nAnswer: -32410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2. Let k(h) be the first derivative of 2*h**3\/3 + 7. What is k(n(d))?\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -138, -0.4, -2\/29, -2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -555 - 3*z**2 + 555. Let u(d) = -2 - 2*d + 2. Calculate u(o(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l + 215. Let s be d(0). Let j = 226 - s. Suppose f = -2*f + 9. Solve -4*i - j = -f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024252 - 2*c**2 + 1024252.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 29*m + 80. Let q be i(26). Let j be q\/(-6) + 10\/(-15) + 5. Let k be ((-6)\/9)\/(2\/(-36)). Solve -f + j*r = -k, 2*f = -r + 3*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312\/(-208)*(-7028)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s, 700 = 3*z - 0*s + 4*s. Calculate the common denominator of 59\/20 and (-2)\/(-5) - 6\/z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42 + -3.58. Let i = 0.1 + -0.2. Which is the closest to i? (a) 3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - 4. Let u be h(3). Let m = u - -7. Suppose -5*n + 0*w = -m*w - 139, -41 = -n + 5*w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-3*u + u + 0*u) + (-1 + 2 - 2)*(2*u - 3*u + 3*u)*(2 - 2 + 3).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2978296*b**3*x**3 + 6*x**3 - x**2 + 2657*x + 45 wrt b.\nAnswer: -8934888*b**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*q**2 + 950*q**2 - 2892*q**2 + 952*q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/415 and 13\/660193.\nAnswer: 273980095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-2\/83))**(-1\/25)\/(b**(-1)*b\/b**(-4))**12 assuming b is positive.\nAnswer: b**(-99602\/2075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4391 at least -6870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 9 = -12*a, -34119*a - 120 = -7*m - 34114*a for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*b + b. What is the remainder when 11 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44933403.\nAnswer: 3, 1051, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 132591704\/714 - (-28)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18358*l**5 - 341*l - 2?\nAnswer: 367160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -8*r - 170, 1 - 40 = 3*w + r - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-31 + 8 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1105762903 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 295.5 > 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10770 + 18086. Is 124 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3034 (base 5) to base 4\nAnswer: -12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(42*(-18)\/(-4752)*(-2)\/(-7)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 + x + 5. Let h be v(0). Suppose 9 = 2*w - 3*l, 7*l = 6*l - h. Let t(j) = j**3 + 5*j**2 + 3*j - 4. Give t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -49, 3758.\nAnswer: -49, -3, -2, 3758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q**2 - 5*q. Let u(a) be the first derivative of 7*a**3\/3 + 3*a**2\/2 + 8. Let t(o) = 9*u(o) + 4*v(o). Find the second derivative of t(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57480 + 6?\nAnswer: -57473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1932 + 1942. Solve 5*x = n, -9*i = -11*i - 3*x + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8162 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 + 2*v**2 + 9*v - 57. Let p(i) = -10*i**3 + 4*i**2 + 10*i - 58. Let x(u) = 6*h(u) - 7*p(u). Find d such that x(d) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011110100000001111 (base 2) in base 15?\nAnswer: 2380c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*p**4 - 4\/9*p**3 + 0 + 2\/9*p**2 + 0*p.\nAnswer: 2*p**2*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39405 divided by 555\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 54. Let x(f) = -f - 55. Let j(v) = 3*o(v) - 4*x(v). Is j(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 32171. Let u(n) = -26*n. Give u(j(y)).\nAnswer: 26*y**2 - 836446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*8\/(-6)*3. What is the least common multiple of 3 + (0 - -2 - n) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 5*p + 10. Let c be o(6). Solve 5 - c = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 2, g: 1, f: 2, q: 1, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*c - 18 + 2 = 0, -3*x - c + 3 = 0. Suppose 0 = x*f - 2*q - 1439 - 1081, -2*f + 2514 = 4*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 + 2017 = 203*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -202, 2\/7?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c + 4*x, 4*x = -5*c + 75 + 25. Calculate the greatest common divisor of c and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -3) + -7 - (27 + -3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 3, n: 1, z: 1, x: 1, t: 4}. What is prob of picking 1 q and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t - 1. Let o = -115 - -120. Suppose 0 = -b + 4*m + 18, -4*b - o*m - 16 = -2*b. What is x(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + 4 + 146\/4 and 67\/62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/3)\/(1\/((-1)\/(-2))). What is the remainder when (0 + g)*(3 + 61\/(-2)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -525*q - 12. Let o(x) = -526*x - 9. Give 3*a(w) - 4*o(w).\nAnswer: 529*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -136. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -117, -275, -493, -765, -1085?\n\"Answer: y**3 - 39*y**2 + 18*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2\/11 - 204*o\/11 + 1734\/11.\nAnswer: 6*(o - 17)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 819890.9 nanograms?\nAnswer: 0.0000000008198909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*2)\/((-2)\/72*-3). Suppose -6*f = -8*f + q. Let l = 0 - -2. Calculate the lowest common multiple of l and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.069102 - 6.\nAnswer: -6.069102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 - 206. Suppose -b = -w - 13827, p*b + 2*w + 69141 = 8*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-17)\/i*i**(-7)*i assuming i is positive.\nAnswer: i**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59162 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**6\/300 - r**4\/60 + 15*r**2 - 1. Let c(i) be the second derivative of h(i). Determine m, given that c(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 48*o**2 - 42*o - 323. Calculate d(49).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = i, -20 = -c + i - 6*i. Suppose -3*d + 4*d = 3. Suppose c*x + 531 = d*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 - 107) + 30 + 2 + 43.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 67, 90, 117, 148, 183?\n\"Answer: 2*m**2 + 13*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53400499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*n + 0*n = -14, 4*y - 7*n = -980 + 941 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 + 236. Let p = 40 - 48. What is the smallest common multiple of 334\/22 + p\/44 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/13 - 2040*x**2\/13 - 2038*x\/13.\nAnswer: -2*x*(x + 1)*(x + 1019)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieibboibibib. What is prob of picking 4 i?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27851*j - 334165. Give q(12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853880 + 853880 - 17*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5045832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3 + 15 + 4 - z. Suppose v + 2 = 0, 3*j + v + 2 = 2*j. Is l(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v**4\/6 + v**3\/6 - 2*v. Suppose 0 = -2*l - 0*u + u - 2, -4 = 4*l - u. List the prime factors of b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 143, 123, 103?\n\"Answer: -20*f + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + r + 19*g = -0*r + 24*g - 29, -832 = 31*r - g for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/20)\/(1\/(-3)). Let s = -0.1 + 0. Put s, -1\/4, q in ascending order.\nAnswer: q, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*t - 4177 = -28876, r = -9*t + 12384. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*-4*(-4 + -1 + sqrt(891))*6)**2 + 2.\nAnswer: -53136*sqrt(11) + 528347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (663\/260)\/(-17)*(-8)\/30*2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225\/214 + 129657\/3638. Which is smaller: x or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -13735\/6 (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, w: 1, c: 1}. Give prob of sequence bc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 428 (c) -7 (d) 0.11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2934 - 765 + 879 + 2*o**2 + 827 in the form m*o**2 + u*o + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 f when four letters picked without replacement from {h: 4, s: 6, f: 5}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ab92 (base 12) to base 10\nAnswer: 18974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 3241896*n**3 + 656864862772*n**2 + 1313739451248*n + 656871346576 = 0. What is n?\nAnswer: -1, 405238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 4 + 3870*j - 6 - 3862*j + 25.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1354 (base 10) to base 8\nAnswer: -2512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/16, -1, -4\/3, 0, 2, -6 in ascending order.\nAnswer: -6, -4\/3, -1, 0, 3\/16, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1547504 and 43378.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.5 + 85.5. Let t = r - 102.1. Which is the second smallest value? (a) -0.6 (b) -2\/5 (c) -0.08 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 63308*j - 443158\/7.\nAnswer: 2*(j - 1)*(j + 221579)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 387227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -5*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -30. Let s = k - -354. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/282540 and -83\/314118?\nAnswer: 53400060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -54055 (base 13) in base 10?\nAnswer: -151663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15ab - 4?\nAnswer: 15a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2 (c) -0.5 (d) -2.1 (e) -1\/5 (f) -55 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 1, z: 1}. What is prob of sequence ztzd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/18)\/((-41)\/984)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 10. Let z(g) = 19*g - 33. What is 4*u(v) - z(v)?\nAnswer: -15*v + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 567165 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 11.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 13*m + 88. Calculate the lowest common multiple of 21 and m.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/23859 and -65\/2169?\nAnswer: 23859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19367 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19352.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -195718807 and 0.1?\nAnswer: -19571880.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 9032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -34*k - 41. Let n(x) be the third derivative of x**4\/24 + x**3\/3 - x**2 + 36*x. Let t(d) = 6*n(d) + y(d). Differentiate t(r) wrt r.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6*p - 3703413 + 3703953 = 0 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 216 + 2139. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1830, 221, -4138, -12621, -26602?\nAnswer: -47455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-3 - 2) + 1461\/6. Let g = i + -7573\/30. Find the common denominator of 4\/27 and g.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 3, y: 2, k: 1, p: 8, a: 3}. What is prob of sequence dya?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3)**(2\/7))**(-50)\/(((c\/(c\/c**(-3\/7)))\/(c\/(c*c**(1\/11))*c))\/((((c*c*c**(2\/5))\/c)\/c)\/c*c**(-3)*c)) assuming c is positive.\nAnswer: c**(-16986\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 59973 (base 13) to base 12\nAnswer: 7b029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 788736*n*t + 25*n + 38*t**3 + t**2 + 6225926 wrt t?\nAnswer: 788736*n + 114*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 6, 19, 1, -2, 2319 in descending order.\nAnswer: 2319, 19, 6, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 108 - 5*p + 220.\nAnswer: -5*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 + 29*b**2 - 15*b - 56. Calculate y(-7).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + f - 59, -7*c + 3*c + 2*f + 98 = 0. Suppose 5*x - c = -4*i, 0 = i - 2*x + 3. What is the second biggest value in -26\/7, i, -1\/4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69170925 divided by 75?\nAnswer: 922279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*-358198\nAnswer: -1432792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)**31\/(r**(1\/3))**(-2\/35) assuming r is positive.\nAnswer: r**(2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 18 = -4*b, -2*x - 13 = 15*b - 12*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((252\/840)\/(-1*3))\/(-5*24\/1500)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 11*p**3\/3 - 13*p**2\/2 + 13*p - 21. Let c be (26\/(-6))\/((-1)\/(-3)). Let y(n) = 5*n**2 - 6*n + 6. What is c*y(r) + 6*z(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0) + (-4207)\/6. Let q = -674 - r. Calculate the common denominator of 122\/(-4) + 2 + -3 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(240)*-1)\/sqrt(10) - -1*sqrt(24)*1)\/(1*(5*3*sqrt(80))\/sqrt(10)).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 7*n + 2*n + n + 4. What are the prime factors of a(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(1 + -21 + 18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*i, 5*i = -2*w + i - 1582. Let j = -340 - w. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.378 and 0.5.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 3872748*m.\nAnswer: 4*m*(m + 968187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 s when three letters picked without replacement from {s: 2, n: 2, i: 2, h: 2, q: 5, e: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743624.\nAnswer: 2, 3, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -97. Suppose 0*x + p = 5*x. Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 69158324694.75.\nAnswer: 69158324684.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:00 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 4:53 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-16)\/40 + 542\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**3 + 128*l**2 - 10*l + 2. Let f(t) = 13*t**3 + 254*t**2 - 21*t + 4. Give 11*a(i) - 5*f(i).\nAnswer: i**3 + 138*i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71650 and 80050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:25 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2821897 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1734411192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-20) - 5\/(-4). Suppose 30 = -0*r - 6*r. Sort w, -4, r in increasing order.\nAnswer: r, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 15) to base 10\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 3*r**3 - r**3)*(-59*r**2 + 139 - 271 + 129).\nAnswer: 177*r**5 + 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112684819 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**3*g)\/(g**0*g)*g**4\/((g**(-7)\/g)\/g)*(g**(1\/4)*g**5)\/(g*(g**(2\/7)*g)\/g*g)**(4\/3) assuming g is positive.\nAnswer: g**(1277\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -144*f**7\/7 - 2*f**3\/3 + 69*f + 257. Find the third derivative of q(o) wrt o.\nAnswer: -17280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4877 and -0.01?\nAnswer: 48.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -z - 24, 3*x + 18 = 3. Let t be (2 + 16\/(-6))*(-29 - z). Suppose o = -y + 7, 3*o + 2*o - t = 0. Which is smaller: y or 34\/7?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5300 + -5275.31. Let g = -6.31 - u. What is the smallest value in g, -3\/4, -5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Suppose 1 = o - v. Suppose d + o = 4*d, 0 = -5*z - 4*d + 18. Solve -f - z*f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let h(c) = -4209*c. Calculate h(r(j)).\nAnswer: 8418*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 83*r - 9. Let l be p(-24). Which is smaller: -320 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 12. Is ((-14)\/v)\/(3\/84) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19123313 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -460*n - 2122*n - 64550 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6426.5 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i*((i*i*i\/((i*(((i**(-26)*i*i)\/i)\/i*i)\/i)\/i))\/i)\/i))\/(i*i**(-36\/5)) assuming i is positive.\nAnswer: i**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 + 3*w**2 + 3*w - 598. Let g(d) = 4*d**3 - 7*d**2 - 7*d + 1196. What is -3*g(t) - 7*j(t)?\nAnswer: 9*t**3 + 598","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219000 and 25375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**11)\/((b\/((b*b\/(b*b**(2\/25)))\/b))\/b))\/((b*b*b\/b**(6\/5))\/(b**(-4\/5)\/b)) assuming b is positive.\nAnswer: b**(-317\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 136*n**2 - 131*n + 471. What is j(-69)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = x + 21663 + 4472, 2*v + 5*x - 26153 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:44 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-12) + (14*-2)\/2. Let p = d - -8. Let z be p\/24*-1 - (-796000005)\/(-40). Round z to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -2\/7, -1, 177?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148*d**2*m + 160*d**2 - 21*d*m - m - 64 wrt m.\nAnswer: -148*d**2 - 21*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(300) + 1 + 0 + 3*sqrt(300) + 2 - (((sqrt(300) + 2)*-5 - sqrt(300)) + 5*(sqrt(300) - (sqrt(300) + 1)))))**2.\nAnswer: 4200*sqrt(3) + 30441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*h - 39 + 13, 4*p + 41 = 5*h. Let q(u) = h*u**2 + 0 - u - 1 + 3*u. Let r be (539\/55 + -10)*-5. Give q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 38. Suppose -3*f + 4*u = -26, -4*f + u + s = -4*u. What is the remainder when 1\/(-1)*(-10 - 1) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnhfnohbnngngf. Give prob of picking 1 b, 2 g, and 1 h.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -6085?\nAnswer: 6085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q + 80*q**2 + 3*q**3 - 80*q**2 + 19*q.\nAnswer: 3*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 39. What is the units digit of i(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*w - 31 = -80, -5*w + 72 - 174 = -57 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*((-32)\/(-24))\/(-4)*3\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 385 = 21*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.05878547 rounded to 3 dps?\nAnswer: 8.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -1\/9 (c) -0.4 (d) 2 (e) -12.68 (f) 4 (g) 69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j, -6569 = 2*z + 3*j - 66359. What are the prime factors of z?\nAnswer: 2, 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.035363858 - 2.0354. Round n to 6 dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z)**(-2\/105)\/(z**(-1\/4)*z*(z**(-5\/3)*z)\/z*z) assuming z is positive.\nAnswer: z**(-11\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-35)\/(-100). Let i = 7.5 + -7. Which is the biggest value? (a) 1 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.749 + -0.703. Let s = 6.246 + -6.2. Let k = s - y. Put 4, k, 0.1, 1\/8 in increasing order.\nAnswer: k, 0.1, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 22218.771125\nAnswer: 22213.771125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, 2, -3, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -3, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*27*((-44)\/(-462))\/((-15)\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1684 - -1713. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2249 and 101\/18.\nAnswer: 40482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 37 - 55 = 0. Let q be (10910\/25 - -4)\/(o\/20). Round q to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 60*j**2 + 54*j + 98. Give x(29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -68. Let i = -2339 + 2344. Suppose -n - i*y - 22 = -y, 5*n = -y - q. Is n greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 12*i**2 - 15*i + 4. Let s be z(-11). Suppose 0 = -v + 4*v - 45. Let c be 1*v + 0 + -3. What is the highest common divisor of s and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 0.3, 0 in ascending order.\nAnswer: -2.5, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 48137.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64\/13 - 269\/52. Suppose 4*t + 4 = 0, -b = -0*b - 4*t - 4. Let p be b - 0 - 2\/(-1). What is the nearest to -0.1 in k, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spussop. What is prob of sequence opu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrruuvrm. Give prob of picking 1 u, 1 v, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4. Suppose -1 = -q - 0, -w - 4*q + 4 = 0. Let h be y(w). Suppose -5*t + h*f = -0*t - 50, 0 = 3*f - 15. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -187\/6, -0.08.\nAnswer: -187\/6, -6, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02122 - -0.17878. Is 3269 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41818, -83635, -125452, -167269, -209086?\n\"Answer: -41817*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 17, -1\/3, 1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s + 22 = 2*i, 4*i = -s + 72. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72453 (base 15) in base 5?\nAnswer: -43041403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 24*d**3 + 0 + 12*d**3.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96427230 is divided by 4490?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o + 3*h - 88, 4*o - 2*h + 92 = 0. Let b = 25 + o. Suppose 2*r + 0*r - 137 = -3*p, 2*r - p - 149 = b. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3434 + -3438. Let r(a) = 5*a**3 - 4*a**2 - 3*a + 3. Let f(x) = -9*x**3 + 7*x**2 + 5*x - 6. Determine z*f(l) - 7*r(l).\nAnswer: l**3 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 3*x + 3 + 5*x + 12 - 5*x to o*x**2 + z + y*x and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593 divided by -745.\nAnswer: -593\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 17*g**2 - 39*g - 18. What is the lowest common multiple of q(-19) and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-5)*(150\/18 + -8). Let f = 113 - 901\/8. What is the third smallest value in o, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483 by 4759.\nAnswer: 483\/4759","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 39. Let r(x) be the second derivative of -7*x**3\/6 - 664*x. Determine m(r(c)).\nAnswer: -7*c + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 392, 911, 1670, 2687?\nAnswer: 3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*q - 0*i - 5, 3*q - 12 = -2*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -804 or -1346?\nAnswer: -1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 - 0.25. Let j = -5.56 + o. What is the third biggest value in 1\/2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:53 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14271320 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*h + 2*h + 26, -2*b = 10. What is the closest to 0 in 3\/7, 4, h, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y - 12. Determine f(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -63. Suppose 0 = -2*h + g + 5. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34880.0326 + 34880. Are -1\/4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11580?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4235 = 124*x - 129*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w - 168 = 26*w - 36. Solve -19*g - w = -18*g - 5*s, -g - 2*s + 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 19*u + 84. Give k(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533762 is divided by 900.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f + 13891 = 16888 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100848 = 1091*x + 808*x + 259*x - 57*x for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 368695634 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 19*m - 23*m - 20 = 0, -2*m = -5*l + 10. Solve 4*n + 4 = -3*s - l, 4*n - 4*s = 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:57 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 16*x + 12.\nAnswer: 4*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24920, -50129, -75338, -100547, -125756?\n\"Answer: -25209*x + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19135.5974 + 19300.62. Let a = -165 + d. Let k = a + 0.019. What is k rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6788.31 - 6788. Let g = 2.2 - 0.2. Which is the second smallest value? (a) -3 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35437.7 and 0.434.\nAnswer: 35438.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -8\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 7) in base 9?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (426 + 80 - 201)*(-w - w - 2*w)*(-5 + 2 - 1) as z*w + x and give z.\nAnswer: 4880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 divided by -60?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -95. Is 0 + h + (-4)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**3 + 3*v + 3. Let s = 17 - 5. Suppose -s + 36 = 3*b. Let n(k) = 20*k**3 + 8*k + 8. Give b*x(f) - 3*n(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 123*r + 26. Let x(d) = 2*d**2 - 82*d - 17. Give 5*o(c) + 8*x(c).\nAnswer: c**2 - 41*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789426 is divided by 71753.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -34. Suppose -3*r = -g*z - 42, -6*z - 10 = r - z. Suppose -3*k = -r*k + 1393. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 582.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 537 and 2643472.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 15)*(-9)\/594?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -0.4, -1, -2, 5\/2 in ascending order.\nAnswer: -192, -2, -1, -0.4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3927*s**3 - 3517*s**3 + 30 + 2161*s**3 - 30 + (-3 + 2 + 0)*(2*s**3 - 3*s**3 - 2*s**3) in the form l*s**3 + m*s**2 + w + z*s and give l.\nAnswer: -5280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-600)\/(-36) + -17). Solve 3*r + 7 = -c*n, 1 - 9 = -2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -48*t - 333. Which is the nearest to 0? (a) -6\/5 (b) -2 (c) t (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 - 138*m**2 + 10 + 914*m**4 - 10 wrt m.\nAnswer: 21936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*g + 10 = 0, 3*g - 8 = 3*m - g. Suppose m*x = 5*x. Let n = 0 - 0. Solve 3*w + x*w = -5*o - 19, n = -w + 2*o + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -111*p**3 + 250*p + 7946. Let i(h) = -62*h**3 + 124*h + 3973. Let a(g) = 7*i(g) - 4*m(g). Find the first derivative of a(c) wrt c.\nAnswer: 30*c**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -9611 and 2.\nAnswer: -9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -15, -112, -301, -612, -1075, -1720?\nAnswer: -2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -539, -1995, -4415, -7793, -12123, -17399?\n\"Answer: s**3 - 488*s**2 + s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 9*r + 73 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*z - 25 = 5*z, 4*z + 20 = 2*j. Sort -201, -3, j in descending order.\nAnswer: j, -3, -201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*p = -9, 16*p - 19*p - 26 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 312 + -312.4. Which is the biggest value? (a) m (b) 5 (c) -3\/8 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 + 23 = -2*u, 2*u = -5*r + 73. Differentiate -4 + 7 + 4*z**4 - r + z**4 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -841196\/31 or -0.2?\nAnswer: -841196\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 7995210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3374, -13499, -30368, -53987, -84362, -121499, -165404, -216083?\n\"Answer: -t**3 - 3366*t**2 - 20*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h + 0*h - 14*h + 4 - 5*h - 5*h.\nAnswer: -3*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22*s**3 + 3*s**2 - 6*s + 3. Let t(h) = -3*h**3 - 2*h**2 + 1. Let l be t(-1). What are the prime factors of w(l)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 3225*t**2 - 12*t - 12900.\nAnswer: 3*(t - 2)*(t + 2)*(t + 1075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5 - 12985*c**4 + 7461990*c**3 - 1230024670*c**2 - 2482487275*c - 1244987625 = 0.\nAnswer: -1, 365, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:05 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = g. Let c(s) = 2*s + 7. Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*f - 65, 52 = -461*f + 457*f - 5*l for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 6*r**2 - 7*r - 9. Give j(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57312.1 milligrams to grams.\nAnswer: 57.3121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 12*g - 2. Let l be t(-4). Suppose -l + 12 = -i. Suppose -4 = -u + 5*u. Sort -4, 4, i, u in ascending order.\nAnswer: -4, u, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, 1, -329 in decreasing order.\nAnswer: 1, -4, -36, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 433823353*s**4 - 220197521*s?\nAnswer: 5205880236*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9878 + 2*v**4 + 188*v + 9882 + 67*v**3 - 190*v - 3*v**2 to h*v**4 + p*v + o + k*v**2 + m*v**3 and give m.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25eb (base 16) to base 6.\nAnswer: -112535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 360*l + 10800.\nAnswer: 3*(l + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2 + 13671555*v + 314448410 = 0?\nAnswer: -23, 2734334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412648?\nAnswer: 2, 51581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-88))\/(6\/8). Let z be 2\/12 - 28\/72. Which is the second smallest value? (a) 2 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391 + 903. Suppose -1924 = 28*x + m. Which is smaller: -83 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1250856 by 18.\nAnswer: 69492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-8)\/(-12) - 15\/(-9). What is the first derivative of -44*g**h - 210 + 4*g + 282 - 4*g wrt g?\nAnswer: -88*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 1. Let u = 26 + -49. Let k = -29 - u. Let c be r(k). Which is greater: 1\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-385)\/(-10)))\/(27\/21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-260)\/197) + (-57)\/38. Let t = k + 5911\/260. What is the common denominator of t and 85\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.08 - -38.08. Which is greater: -2\/471 or o?\nAnswer: -2\/471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 5 + 5)*(-2*s**3 + 3*s - 3*s + (s**3 + 3*s**3 - 7*s**3)*(0 + 2 - 1)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17\/3, -2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j**(-2\/21))**(-5\/11) assuming j is positive.\nAnswer: j**(850\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4108? (a) 1\/3 (b) 0 (c) 48 (d) 2\/7 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -6, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -347703.83 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-9)\/(-7)))\/((-3)\/(-135)*(-1545)\/2163).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648846 and 791.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 5. Let n be p(-8). Let v be 36\/8*(-8)\/n. Let y be 10802\/4 - 6\/v. Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54324.86mg to tonnes.\nAnswer: 0.00005432486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 6, -1581?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63508, -253685, -570538, -1014067?\n\"Answer: -63338*g**2 - 163*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*a**2 + 30*a**2 - 7*a**2)*((4*a - a - a)*(a**2 + 0*a + 0*a) + (0 - a + 0)*(-3*a + 2*a**2 + 3*a) - 2*a**3 - 5*a**3 + 5*a**3).\nAnswer: -128*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 69*b + 26. Give o(-31).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 69438819 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*i**3*y - 4874*b*i**3 + 1562*b*i**2*y - 69*b*i*y + 5*i**3*y wrt i.\nAnswer: 12*b*y - 29244*b + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 6*u + 25. Determine d(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -11*(1085\/(-7) - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i - 11. Let t = -8 + i. Find the third derivative of -t*n**2 + n**4 + 2*n**4 - 7*n**4 + 2*n**2 wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8500813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u - 69. Let x be l(-20). Let q = 232 - x. List the prime factors of q.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*g - g - 24, -3*l + 4*g = -21. Suppose -q = -3*f + 6*f - 26, 6 = l*f - 3*q. Let r(w) = 2*w**2 - 8*w + 6. Is r(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4) + 3\/(-2). Factor 91*x**3 + 4*x**4 - 2*x**2 + 4*x**2 - 83*x**3 + k*x**2.\nAnswer: 4*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53 (b) -2 (c) 0.0417 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31003 - 726?\nAnswer: 30166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + 176\/28. Suppose -m*s = -s - 40. Suppose 5*y + s = 2*p + 4*y, 0 = -5*p - 4*y - 6. Are p and 3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 3, a: 5, e: 2}. What is prob of sequence aee?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30 and -238.4.\nAnswer: -268.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*j + 4*j + 28 = 0, -4*g - 6488 = -j - 6510 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 289 - 43*x - 291 + 870.\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2211568029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/7*(-1848)\/(-484).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -507, -1021, -1543, -2073, -2611?\n\"Answer: -4*f**2 - 502*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*u = -23 + 3, 3*u - 14 = -2*r. Suppose -3*p + r*n = -p - 60, -2*p + 36 = 4*n. Let y = 56 - p. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*12308099.\nAnswer: 2461619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 20 = 4*i. Suppose -i*v + 26 = 2*j, -j + 0*j + 19 = 4*v. Calculate the remainder when 9 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*t - 460 = -5*q, 0 = 2*t. What is the remainder when q is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 10. Let v(l) = -2*l - 19. Let a(d) = 7*j(d) - 4*v(d). Determine a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + a)*(0 + 1 + 0) + (4*a - 6*a - 7*a)*(-4 - 2 + 4).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1712*h - 3*h**3 - 1712*h + 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from yyyfyyfyyyfy?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 46 = 2*c + 2*c, -16 = -2*c + 4*z. Calculate the least common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(3\/18). Solve x = -3*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1388 at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (3 - 0)) + -3. Let p = r + 0. Let v(q) = -2*q**2 - q + 1. Let u(l) = -2*l**2 - l. Give p*u(o) + 2*v(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/302 and -53\/604.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8460, 34474, 77862, 138624, 216760, 312270, 425154?\nAnswer: 555412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*l - 2291 - 2658 = -863 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 x when four letters picked without replacement from {r: 3, x: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -5.95. Let m = -3 + n. Let d = 120 + -1318\/11. Sort 0.4, m, d in descending order.\nAnswer: m, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 38605*l + 4656553. Give h(121).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795437109.\nAnswer: 3, 19, 131, 35509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*w + 12, -4*w = -4*q - 0 + 16. Put w, 1807, -4 in descending order.\nAnswer: 1807, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 5 = 0. Let x(s) = 317*s**2 - 2*s + 2. Is x(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 33*s + 2*p + 10 = 0, 3*p + 14 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.78077 minus 472.05?\nAnswer: -466.26923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 0.4 (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*l - 1. Let a = -0.1 + 0.2. Let z be (-1 - 20\/(-15))\/((-6)\/(-9)). What is the closest to a in l, z, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*f + 10, 7*f - 25 = 3*f - 5*n. Let d(h) = h**3 - 2*h**2 - 3*h - 2770000. Let u be d(f). Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135115*y + 2 + 4 - 5.\nAnswer: 135115*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 - (20 - 22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**2 + 7*o - 9. Let g(t) = 3*t**2 + 3*t - 4. Let w(d) = -d**3 + 5*d**2 - d. Let k be w(5). Let f(z) = k*g(z) + 2*j(z). Factor f(y).\nAnswer: -(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 8*s + 3. Determine c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*l - 205*l + 24*l - 127*l - 255*l.\nAnswer: -481*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*i**2 - 456822*d**3*i - d**3 - 7*d**2*i**2 + 2*d*i**2 + 2692883*i wrt d?\nAnswer: -18*i**2 - 2740932*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 318*3\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*c + 30257 + 62588 - 4325 = -3218*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -17953 (c) 1\/6 (d) -0.235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*f - 1, -3*f = -0*y - 5*y + 25. Suppose 5*t - 7*t = -b, 4*t = -2*b + y. Solve -r + 0 = t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(-37\/2)\/(b**(1\/30)*b*b\/(b*b\/(b\/(b\/(b\/b**(-3)))*b)*b)) assuming b is positive.\nAnswer: b**(313\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -168*(0 - 2\/(-3)). Let g be (c\/6)\/(-8) + (-6)\/(-9). Solve l = -5*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2387127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/((-6)\/(-68676)*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 53*m + 14. What are the prime factors of j(49)?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7132, 14027, 20918, 27805, 34688, 41567, 48442?\n\"Answer: -2*z**2 + 6901*z + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejyieomo. What is prob of sequence oejm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9005 + 2009. What are the prime factors of c?\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*h = 954. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 6. Let c(j) = s - 1 - 2 + 3*j**3. Let t = 7 + -11. Let h(b) = -6*b**3. Give t*h(g) - 9*c(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 30.278.\nAnswer: -1.5139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260993 is divided by 260655?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*s + 10 = -4*m + 607*s, -5*s = 3*m + 53 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 416 + -413. Solve 0 = -o - c*r + 4, -5*r + 16 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 133110301100?\nAnswer: -133110301101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 8, -2\/583, 48, 1\/3?\nAnswer: -2\/583","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089 = -225*w - 3757 - 1898 - 3309 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25941 is divided by 8647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36931\/36 + 4079\/4. Calculate the common denominator of (1 - -1) + (-66)\/(-10) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159143459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/((s\/s**(-18))\/s)*s)*s*s*s\/((s\/s**(-4\/5))\/s*s)*s assuming s is positive.\nAnswer: s**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9*-10.1\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 486770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8258886.686 rounded to the nearest 10000?\nAnswer: 8260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42716862919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*m - 6 + 0 = 0, -14 = -2*j + 2*m. Suppose -3*b - 4*d = 12, -3*d = j*d. Let k be (-4)\/16*48\/(-21). What is the smallest value in k, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 39 = -t. Suppose -4*v + t = d, -5*d - v = -0*d - 366. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + (sqrt(117) + 4)*2 + sqrt(117) - (1 + (1 + sqrt(117)*3 - sqrt(117)))) + -5)**2.\nAnswer: 24*sqrt(13) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9598, 9786, 10102, 10546, 11118, 11818?\n\"Answer: 64*f**2 - 4*f + 9538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 9*b - 10. Let i be p(-10). Solve -3*t + 2*t + 1 = i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = -3*u, 3*x - 5*u + 8 = -1. Solve 17 + 9 = 4*k - x*z, 0 = 2*k + 4*z + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from ppzzpzzzzppz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1)**2*4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31306763 - 31306763 + 7375*v**3)*(-4*v + 4*v + v).\nAnswer: 7375*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u - 2 = -4*f, -4*u = -4*f. Suppose u*j = -j + 6. Suppose o + 950 = 5*v, j*v = -o + 230 + 157. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 544080 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996 and 8436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -880, 2\/3, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2, b: 2, f: 1, c: 1}. What is prob of picking 1 f, 1 c, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srru when four letters picked without replacement from uusrurruujruus.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3 - 1. Let p be 19\/2*(x - -4)\/3. Differentiate p*v**2 - 37*v**2 + 7 + 6 with respect to v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyvyycs. Give prob of picking 1 s and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/60 + 5*k**4\/24 + 7*k**3\/6 + 19*k**2. Let h be v(-4). Does 3 divide (5 + h\/5)\/((-4)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222330 (base 4) to base 8\nAnswer: 15274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213945 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/4 + 1 + -2. What is the hundreds digit of 20\/(-15)*(-954)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:38 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 78*i**4 + 69*i**3 - 628*i**2 - 924*i.\nAnswer: i*(i - 3)*(i + 2)**2*(i + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r**2 - 28*r + 5 + 28*r - 8 as f + a*r + i*r**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/7)*x)**(-2\/21)*(x*x*x*x\/(x*x\/(x\/(x\/(x\/(x**7\/x))))*x*x))\/(x*x\/((((x\/x**8)\/x)\/x)\/x*x)*x*x*x) assuming x is positive.\nAnswer: x**(-2825\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6676 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -182869, -182868, -182867, -182866, -182865?\n\"Answer: t - 182870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 164267?\nAnswer: 164257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, -3.19, -3.09, -0.1, 2\/7, 1\/8?\nAnswer: -3.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)\/sqrt(8)*6 - (3 + 0 + sqrt(567)))**2.\nAnswer: 198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2104351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239351 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (0 - 4) - 407. Let g be x\/(-2) + 0\/(15\/3). Suppose -3*d = -2*m - 2*d + 142, 0 = -3*m - 4*d + g. Calculate the highest common divisor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/4 + 85*y\/2 + 3129\/4 = 0. Calculate y.\nAnswer: -149, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 472\/112 + (-52)\/91. Which is the closest to 1? (a) t (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 32 - 24 + 4*b**4 + (-218*b**4 - 118*b**4 + 57*b**4)*(1 + 4 - 3).\nAnswer: -556*b**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -10*l + 42 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -305, -325, -331, -317, -277, -205, -95, 59?\n\"Answer: i**3 + i**2 - 30*i - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 28\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 4.03. Let f = -5597\/7 - -800. Put f, 0.2, -1, x in descending order.\nAnswer: x, f, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3. Let s(k) = 23. Let o(t) = -24*l(t) - 3*s(t). Let a(z) = z - 2. Let b(j) = -4*a(j) - 3*o(j). Differentiate b(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**3 + j**2*v - 3*j**2 - 6*v - 4 with respect to j.\nAnswer: 24*j**2 + 2*j*v - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 3*j + 4*j - j - 4*j - j + 3*j - 3*j + (1 + 0 + 0)*(-j + 3*j - 3*j) + 2*j + 57*j + j)*(3 + 0 - 2).\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1689111 = 13*o - 1230052. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeee when four letters picked without replacement from {z: 4, e: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*2*6 + (sqrt(95) - (sqrt(95)*2 + sqrt(95)) - sqrt(95))*-6)\/((sqrt(60) + sqrt(240))\/sqrt(12)*3).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1532)\/(-8) + -193)*4\/6*(-1)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -1137, -1707, -2277, -2847, -3417?\nAnswer: -3987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(7 + -9) + 5592\/(-558). What is the nearest to n in 9, 0, 0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16971189, 16971191, 16971193?\nAnswer: 16971195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 47\/4 (c) 0.5 (d) -2.2443 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -67, -107?\n\"Answer: -40*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/10 + 30\/50.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from lvgvygnnyygygg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:18 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12315?\nAnswer: 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -48850 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/266, -0.3, 5 in ascending order.\nAnswer: -0.3, 5\/266, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/11))\/(v\/(v*v**(1\/4))))**(2\/9) assuming v is positive.\nAnswer: v**(47\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + s - 3*s + 16 = 0, 0 = l - 2*s - 12. Suppose 5*q - 4 = 41. Suppose 2*f - q = 3. What is the lowest common multiple of l and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48386519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 5. Let k be p(-8). Suppose -u = k*u. Suppose -2*z - 4*r + 16 = u, 0 = 6*z - 2*z - r - 77. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.450543 millilitres?\nAnswer: 0.000450543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3 - -6.7. Which is the closest to 0.1? (a) 3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -728 - -439. Let y = 408 + b. What is the greatest common divisor of 85 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r - 16. Let o(j) = j**2 + 3*j - 5. Let m be o(r). Suppose 2*i - 52 = -4*k, -k + m = 2*i - 6. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2}. What is prob of picking 2 g and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11916 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*j - j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81153?\nAnswer: 3, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -2*v. Let r = 16 + -16. Suppose r = -a - v + 5. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 + 44)\/((-3)\/(-33)). Suppose 324*y - f*y - 4500 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 3561097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9631374?\nAnswer: 2, 3, 137, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2777, 5552, 8327, 11102?\nAnswer: 13877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 37*n - 46*n + 180 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, -24, -4 in ascending order.\nAnswer: -24, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2 + 13. Let a be 2\/n - 4862\/12205. Let u = 173295\/9764 + a. What is the common denominator of u and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/111399198 and -89\/388731.\nAnswer: 779794386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 655966*f + 2623832 = 0. What is f?\nAnswer: 4, 327979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739462.\nAnswer: 2, 369731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014505294 to six dps.\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 279070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 68*a = 64*a + 66, -2*a = -2*h + 16. What is the remainder when 670 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + x - 301 + 757 = 0, 12 = -4*x. Let u = p + 72. Let z = u - -184. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -38?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -1000000000111?\nAnswer: 111111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 707\/(-202) + (7\/(-2) - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.118, -2\/5, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/5, -0.118, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(12\/(-6)*-8)*(-3)\/15.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 19*m**2 - 31*m + 6. What is the units digit of a(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 4 + 4 - 10*i as l*i + j and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 10.009. Let z = 0.01 + r. Let f = z - 0.00054. Round f to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5237 - -0.53. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2940)*2)\/(2*sqrt(160)))\/(5*(sqrt(75) - ((sqrt(75) + sqrt(75) + -1*sqrt(75))*-1 + sqrt(75)))).\nAnswer: 7*sqrt(2)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1620 divided by -6.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 3*i**4 + 4*i**4 + 0*i**4 + 5*i**4 - 6*i**4 + (2 + 3 - 6)*(i**4 - i**4 + i**4) + i**2 - i**4 - i**2 + 0 + 0 - 2*i**4.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053532 rounded to 4 decimal places?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27225 divided by -5\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 915 and 5473225.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1\/(-2)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 216 - 2*j + 71 + 65.\nAnswer: -2*j + 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 5*l**2 - 5*l - 1. Let p be s(-4). Let g(q) = -q**3 + 3*q**2 + q. Let b be g(p). Suppose 2 = -b*r + 11. Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*c - 194 + 9*c + 10*c - 9*c + 4*c wrt c.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - 13.5. Let n = o - -38. Let z be (-14)\/20 - 1\/(-5). What is the second smallest value in -5, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.31 - -2.31. Let i = -135.5 - j. Let l = 34 + i. Put 0.3, -0.1, l in increasing order.\nAnswer: -0.1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 158 - -4?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11 and 37\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 1835788*r\/5 - 244772\/5.\nAnswer: (r - 122386)*(15*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25857*f**5 + 4834*f**2 - 294449657*f wrt f?\nAnswer: -517140*f**3 + 9668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -3)*1 - -7. Let o(l) = 8*l + 3*l - 4*l - g*l. Let z(c) = -3*c + 3*c - 3*c**2. Determine o(z(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3950.5972 to the nearest ten.\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 38 - (-94308)\/(-2088)) + (-1 - -6)?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001027 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1\/(32\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832468?\nAnswer: 2, 7, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + p - 28 = 0, p - 23 = -3*s + 17. Solve -4*f + 17 = 3*w, -4*f + s = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*r - 93 - 244 - 13 - 1831*r wrt r.\nAnswer: -1868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275857779, -551715560, -827573341, -1103431122?\n\"Answer: -275857781*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1476 and 954.\nAnswer: 78228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 9*j + 162. Suppose 9*a + j = -9. Put 1, -5, -2, a in descending order.\nAnswer: 1, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1877922 + 40587.4.\nAnswer: 1918509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 47 = -25. Let k(o) = 2*o**3 - 15*o**2 - 7*o - 15. Let b be k(8). What is the least common multiple of 5\/4*(-224)\/b and q?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -73. Let a(d) = 17*d**2 - 4*d - 3. Calculate the remainder when a(-2) is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 246*l + 13656. Give s(-57).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 151 = -22*y + 25. Solve 5*n - 13 = -y*p, -5*n + 8*n - 9 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2 - 235*l + 3190 = 0. Calculate l.\nAnswer: -58, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30803 + 15239 - 6*o + 15555 + 2*o.\nAnswer: -4*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*g + 40379 + 37758 = -4725*g + 27691 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/501 and -49\/59953?\nAnswer: 179859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m + 0*m**4 - 1\/30*m**5 - 41\/2*m**3 - 43\/60*m**6 - 7 - 3*m**2. What is the first derivative of c(w) wrt w?\nAnswer: -258*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 81 = 15. Let l(x) be the second derivative of 0 + 0*x**2 - 1\/6*x**3 + b*x - 1\/6*x**4. Let c(k) = -4*k**2 - 2*k. Give 3*c(y) - 7*l(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*w*y**2 + d*w*y + 20*d*y**5 - 99*d*y + 1243814*w*y**5 + 25*w*y**2 + 2*w*y + 3*y**2 wrt y?\nAnswer: 1200*d*y**2 + 74628840*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/10 - x**4\/6 + 2*x**3\/3 + x**2\/2 + x. Let d be t(-3). Suppose 0 = 5*z - 0*z - d. Solve z*y - y = 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 79*l**2 + 3*l - 6. Let w(r) = -r + 1. Let c(d) = -f(d) + 4*w(d). Let b be c(5). What is b rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -214980?\nAnswer: -214979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572259.\nAnswer: 3, 190753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 6. Let t = y + 57\/2. Factor -9\/2 - 3*z - t*z**2.\nAnswer: -(z + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -3\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768*d - 648*d = 3041*d - 1765*d + 201756 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -571, -593, -625, -667, -719, -781?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000004657 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by (-2)\/7 + 450\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Let p(l) = 305*l - 94. Let i(r) = -p(r) - 5*u(r). What is the derivative of i(m) wrt m?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*o + 45*o = 144 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10000101011?\nAnswer: 10000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*m**2 - 2\/3*m**3 + 2\/3*m.\nAnswer: -2*m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/39 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u\/(u\/(u*u**(-2\/65)))))\/u))**9*(u\/(u\/(u\/u**(2\/39))))\/(u\/(u**(-43)\/u*u*u)*u) assuming u is positive.\nAnswer: u**(-3184\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-10)\/210)\/((-14)\/1)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10920)\/(-147))\/26)\/(110\/1232).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 135, 209, 289, 375, 467, 565?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/12 - (-2)\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13088\/3921 - 6\/1307. What is the smallest value in k, -3\/5, 0.12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7221 + 10364 - 2070 + 192*g + 2238.\nAnswer: 192*g + 17753","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (25 - (-13 + 43)) - 28\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 1. Let k be n(2). Suppose 1 - k = -4*c. What is the highest common divisor of c and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 26*u**3 - 141 - 50*u**3 + 35 + 26*u**3 + 24.\nAnswer: 2*u**3 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -14. Let x = r - -2. Is -3*-3*34\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/372 and 121\/186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/14970 and -69\/4.\nAnswer: 29940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okokkkoko. What is prob of sequence kk?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 34*s - 840 = -12*j, 4*j - 4*s - 2*s = -s + 128 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + -13 - (276 - 288)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1349286, -2698498, -4047708, -5396916?\nAnswer: -6746122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389201.\nAnswer: 131, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5523842595?\nAnswer: 3, 5, 109, 3378497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2114 and 14?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 0, -8759, 5, 1\/2, -2\/5 in ascending order.\nAnswer: -8759, -2\/5, -2\/23, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1215\/8 - 331679\/2184. Does -7 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 331650 and -0.3?\nAnswer: -99495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1331)*3 + 1 + sqrt(1331))*-3 + (-3*(1 + sqrt(1331)) + sqrt(1331) + -4)**2)*-4.\nAnswer: -64440 - 2112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 6*i**2 + 4*i + 5. Let q be n(-5). Solve 3*h + 0 = -5*d - q, 23 = -4*h + 3*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 - 285*q\/2 + 1275.\nAnswer: 3*(q - 85)*(q - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*w**2 - 4\/3*w + 4 = 0. Calculate w.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 0.3, -0.1, -3, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/20*(-128)\/80\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 - 11. Let d(j) = -j**2 - 7*j - 10. Let k be d(-2). Let u be (k - q)\/((-1)\/2). Solve 11 = 3*x + r, 3*r - u + 1 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/14 + 176*o**3\/7 - 75*o**2 - 923*o. Factor z(w).\nAnswer: -6*(w - 175)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 34*h + 579. Let p be v(-16). Solve -4*s = 3*m + 10, 5*m = -p*s + 34*s + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387409685838 - 5.\nAnswer: 387409685833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26578351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12676*k + 1354*k - 3 + 1.\nAnswer: 14030*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, -9, -20, 3 in descending order.\nAnswer: 5, 4, 3, -2, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64.9974*14\nAnswer: 909.9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -126.01952. Let u = k + 0.02. Round u to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14*(-14)\/(-28)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/(-333)*(-4)\/18*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + 2*j + 20. Let z be o(6). Calculate the highest common factor of 48 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (104\/(-130))\/((-21)\/15 + 1). Suppose u*q + 2*d + 2*d - 1476 = 0, 4*d - 748 = -q. List the prime factors of q.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642.666 rounded to the nearest integer?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 684964 + 79?\nAnswer: 685043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 0*i + 6*i)*(2*i**2 - 2*i**2 + 2*i**2) + i**3 - 5*i**3 + 11*i**3 + 2*i**3 + 0 + 0 + 0*i**3 - i**3 - i**3 + (0*i + 0*i - 2*i)*(-4 + 4 - 2*i**2).\nAnswer: 35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 11. Let i(z) = 72*z - 72*z + 1541*z**2 - 1523*z**2. Give m(i(x)).\nAnswer: 108*x**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 1. Suppose -k*f = c + c - 18, 4*f = 8. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 69 - 363. What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-19 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 8. Let g be r(-6). Let x(v) = v**2 + 3*v + 2. Let l be x(g). Find n such that -2\/7*n + l + 2\/7*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**3 - 76*j**2 + 36*j - 178. Determine l(9).\nAnswer: -1636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7954*h*l**2*n + h*l**2 - 252*h*n + 4*l**2*n + 2*l + 13*n wrt l.\nAnswer: 15908*h*n + 2*h + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*w - 67983 = -2*q - 277*w, 2*q - w = 68003. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941.5354ml to litres.\nAnswer: 0.9415354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -919 or 1?\nAnswer: -919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/55397540 and -13\/15108420.\nAnswer: 166192620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:19 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 3*r**2 - 9*r + 5. Let m be s(7). Is (m\/(-8))\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {b: 4, e: 2, n: 7, r: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 449740752 divided by -5\nAnswer: -449740752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-18))\/(2\/12) + -2. Calculate the common denominator of -64\/35 and ((-165)\/(-84))\/((-9)\/t).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24340808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**2 + 12*z. Let l be r(5). Let i = l + 136. Suppose 0 = -2*o + 41 + i. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 377\/4 + (-9)\/(-12). Suppose 55 + c = 5*t. Let s(u) = 395*u + 1604. Calculate the lowest common multiple of t and s(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27270 - 27042. What is the remainder when x is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -9. Let i = -0.1 + 5.1. Let s = i + q. Which is the second biggest value? (a) s (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101701 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6823623600 rounded to the nearest 1000000?\nAnswer: -6824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 466 - 2*y - 166 + 573 - 166 as b*y + k and give k.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k + 0*k)*(-3 + 4 + 1)*(-23*k**2 - 11*k**2 - 8*k**2).\nAnswer: -168*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21822 and ((-221)\/(-2210) + 269\/10)*(-2)\/(-3).\nAnswer: 65466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*g**2 - 26*g - 60*g - 57*g**2 + 35*g**2 as r + d*g + l*g**2 and give d.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5349 = 6*g + 37*g + 1780. Solve -72*p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudrhbdddhdcdcrddd. What is prob of picking 1 c, 1 h, and 1 r?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 2*m**3 - 5*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26719 - 25831. What is the lowest common multiple of 4 and t?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 2*x**2 + 13*x + 22. Let c be h(-2). Let p = -35 + 23. Is c != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16*f + 81. Determine o(-6).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/125)\/(96\/(-720)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*z**4 + 40*z**4 - 3331*z**3 + 3 + 23*z**2 + 3331*z**3 to q*z**3 + j*z**2 + y*z + s*z**4 + m and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301481 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 37*r - 23. Let y be b(-13). Let i = 3 - y. Let u(v) = -v**3 + v**2 - 38. What is u(i)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n = -13*n - 248 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**2\/2 - 3*a + 3. Let r be s(5). Let c = 1.2 - 0.2. What is the smallest value in 0.3, c, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 12243.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 + 8*o - 7. Let b be n(5). Let s(a) = 7*a**2 - 6*a**2 - a**3 + 4*a**2 + a. Let y be s(4). Solve -3*f - b = -y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160056 - -2086949. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and -0.11.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/15*(-18)\/(-4). Suppose z = 4*i - 87, -j*z = -5*i + 2*z + 105. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2307529\/132 - 17481. Calculate the common denominator of t and -49\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttx when four letters picked without replacement from {o: 2, t: 4, x: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnmm when four letters picked without replacement from {m: 4, r: 5, p: 1, n: 3, i: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -964 rounded to the nearest integer?\nAnswer: -964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112010202 (base 3) in base 13?\nAnswer: 197c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499362 + -989362. Round p to the nearest ten thousand.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 19517729.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 18*h + h**3 - 3\/2*h**2 + 0 + 15\/2*h**4. Find the second derivative of t(z) wrt z.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28248375299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -19238340 to the nearest 100000.\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 3*j**2 + 2*j**2)*(0 - 3 + 2) + (4*j - j - 4*j)*(4*j + j - 4*j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = -0. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14.7 (b) 3\/5 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1402 + -502.2291491.\nAnswer: -502.0889491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/872 and 34\/763.\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084 minus 266540?\nAnswer: -266539.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.5 + 47. What is the nearest to -1 in -3, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:31 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*k + 3*y - 476, 2*k + 3*y - 330 = 0. Suppose -k = -15*s + 7*s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*l - 725 = 21*l + 1651 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 14*s = 15. Calculate the remainder when (135\/3 - s)*8\/2 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s + 25 = -2*o, 4*s + 20 = 4*o. Suppose -2*b = -h - 0*h - 2, o = 2*h - 3*b + 3. Let v = 4\/51 - -82\/255. Is h greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 22, -10, -50, -92, -130, -158?\n\"Answer: t**3 - 13*t**2 + 14*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*r - 564*r**2 + 187*r**2 + 11 - 558*r**2 wrt r?\nAnswer: -1870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 5841.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -112221.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 341 and 0.14.\nAnswer: 47.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 - -486. Let c = p - 300. Calculate the remainder when ((0 - 1) + 0)*-46 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaw when three letters picked without replacement from {k: 2, j: 3, w: 2, a: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5))**(-10\/7)*u**(-1\/2)\/((u\/(u*u*u**(1\/50)*u*u)*u)\/u) assuming u is positive.\nAnswer: u**(291\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 2, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -13 - 2. Let o(c) = -85*c - 1. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 41*i + 129. What are the prime factors of y(29)?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.83 - -0.27. Sort c, -3, -2 in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, k: 4, s: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32*v - 46. Let i be y(-19). Let p = i - 562. Solve p = 2*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 1105652123708.48?\nAnswer: 1105652123707.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1720368 by -234.\nAnswer: -7352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*d**2 + 68*d - 3*d**4 - 1253*d - 81*d**3 + 272*d**2 + 21*d + 792.\nAnswer: -3*(d - 2)**3*(d + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 - 1)*(3*y**3 - y**3 + 0*y**3) + 5*y**4 - 4*y + 4*y + 6*y + y**4 - 6*y + 2*y**3.\nAnswer: 2*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12 and -58\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7447*t**2 - 177*t - 701. Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/31, 97, 0.5, 0.8, 1\/7 in ascending order.\nAnswer: -3\/31, 1\/7, 0.3, 0.5, 0.8, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15867331811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*u + 7. Suppose 4*v - 35 = d, -2*d = -v - 5*d + 25. Determine q, given that 5 - 3*q**u + v*q**3 - 3*q**4 + q**4 - 10*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + 4 - (0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + 1196\/156 + (-1585)\/225?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + i - 3*i = -11894, -x + 2395 = -5*i. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1711 and 4720.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76870380 rounded to the nearest 1000000?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1446 and 2651?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91182501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -63\/10, -1\/5.\nAnswer: -63\/10, -4, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112)*1*-3 + 5 + 0)*-4*-6*-4)**2.\nAnswer: -27648000*sqrt(7) + 238003200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49125348 is divided by 1321?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124198 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2246*z - 7. Let i(r) = 4*r**3 + 53*r**2 + 13*r - 1. Let a be i(-13). Let l be h(a). What is l rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 145430 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 + 4840*f**4 - 381648*f**3 - 2033560*f**2 + 381644*f + 2028720 = 0.\nAnswer: -1284, -5, -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 14)*(-130 - -146)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k**3)*(491*k - 138*k + 409*k).\nAnswer: 1524*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11101?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.4, 3, 29, 0.04, 1\/22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/15 and -103\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 59*r**2 + r + 60*r**2 - 2*r + 1606.\nAnswer: r**2 - 2*r + 1606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 69.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*l - 4*l**2 + 149*l**3 + 5*l + 32*l + l**2 wrt l?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 2. Let n be z(-4). Suppose -n*a - 6 = -y, -3*y + 3*a + 1 = -17. What is the least common multiple of 16 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*c - 34, -23*c - 2 = 12*c - 36*c - 5*o for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**3 - 743*u**2 - 114*u + 15. What is g(-57)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-76 + 3712*g + 43 + 33) as d + x*g and give x.\nAnswer: -3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 92. Let t(p) = -g*p**2 + 16*p**2 - 4*p**2 - 5*p**2. Let h(i) = 4 - 4 - i. What is t(h(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 + 4. Let v = 11 - 11. Let o = v - -2. Which is the closest to -0.1? (a) z (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -174\/7, -2\/5, -1, 266?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 12 = 12*k, -2*d - 2833*k + 16 = -2831*k for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000089 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-14)*4\/6. Let x(c) = -4*c - 1. Let s be x(-2). Let t = 10 - s. Solve -4*a - q = 4*z - z, -3*a = -t*z - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((26784\/1080)\/(-62))\/(24\/(-10)*(-8)\/1)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**3 - 522*y**2 + 211*y - 630. What are the prime factors of x(105)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680904 and 2548.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.565999214532 - 0.1?\nAnswer: -8.665999214532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 14*y**3 + 10*y**3 - 7 + y**4 in the form j*y**4 + g*y + d*y**2 + s*y**3 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.88200911 + -46\nAnswer: -46.88200911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.06, -1\/13425?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2829 + -2831. Sort -7, 0.5, p, -31 in descending order.\nAnswer: 0.5, p, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -14, -17, -18, -17, -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (1\/(-1) + -3). What is the smallest value in 16, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from qqqzzzwwzwzqz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -10*x + 1540. What are the prime factors of x?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 + 14*r - 1. Let c be o(7). What is the units digit of (2\/c)\/(4\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {j: 1, d: 3, b: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 2*z**3 - 30*z - 19*z - 4*z**3.\nAnswer: -2*z**3 - 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/33121 and -64\/286045?\nAnswer: 3146495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723665093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 39*c = -240 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose -b + 2 = -2*b + 5*x, 0 = -3*b + 3*x - 6. Let l be (b\/p)\/((-5)\/30). Sort -3, 1\/8, l in increasing order.\nAnswer: -3, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q, m - q - 8 = 4*q. Suppose k = -4 + m, -4*l + 5*k + 668 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 295 + -297. Put m, 4, -0.2, 0.5 in descending order.\nAnswer: 4, 0.5, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -13) + 6 + (6 + 0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 2.3. Sort s, -0.1, 4 in decreasing order.\nAnswer: 4, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) - (-3)\/(-48)*62\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o + 24. Let z be j(0). Let h = z + -41. Let i = -16 - h. Is i less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*n**2 - 1 + 49*n - 18*n - 29*n + 0 - n**2 + 0 + (-n + n - n)*(-n - 2 + 2) + 3 + 2*n**2 - 3 - 2*n + 2*n - n**2.\nAnswer: -28*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75610 is divided by 347.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7590459 (base 10) in base 8?\nAnswer: 34751073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 - 34*p + 12. Let n(y) = -2*y**2 + 1. Let r(q) = n(q) - t(q). Find the first derivative of r(b) wrt b.\nAnswer: 4*b + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73113286 is divided by 124?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100937 to the power of 1\/2, to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 - 8 - -3. Let y = p - -9. Solve 2*v = y*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 108 + 219 = -21*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000191724 to 6 decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, -2685 in ascending order.\nAnswer: -2685, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974 is divided by 143?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 0, -5*g = -7*b + 4*b + 8. Solve -11 + b = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -33 - 23. Is ((-476993)\/(-77) - 2) + (-4)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 - 372*r**2\/5 + 2139*r\/5 - 354.\nAnswer: 3*(r - 118)*(r - 5)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**3 + 27*o**3 - 235*o**3 + 161*o - 177*o to the form c + h*o**3 + t*o + r*o**2 and give h.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 33*w**2 - 13*w**2 + 35*w**2.\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose -145 = -p*r - 2*t, 5*t - 27 - 72 = -4*r. Let w = r - 18. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 42 - 25 - 19 - 2*l in the form g + m*l**2 + u*l + r*l**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j - 12*j = -30*j + 616 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 612 = -4*n, -482 = -3*n - 0*d + 5*d. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(22)\/sqrt(2).\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:33 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-10)\/(-5) - 1). Suppose 100600 = 23*l - 10720. Suppose -o*m + l = k - 2835, 5*m - 5*k - 7675 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(14\/(-3) - -2). Let g(d) = -2*d - 12. Let z be g(h). What is q in -1\/2 - 8*q**2 - z*q = 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24195\/(-2052) - 8\/36. Let b = -14\/19 + c. Find the common denominator of 12\/15 + 469\/20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18051 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.94 - -2.16. Let w = 9 - r. Suppose -5*t + 5 = -10. What is the nearest to t in -3\/2, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86341?\nAnswer: 86341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36190 divided by -5170?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -0.1, -0.3, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -11) + 1\/1. Let f be -4 + h + 0 + 32 + -2. What is the highest common factor of f and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 11*l**2 + 16*l - 80. What is b(5)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 26*v**3 - 488*v**2 - 966*v - 6. Let f(a) = -73*a**3 + 1464*a**2 + 2897*a + 17. Let g(y) = 6*f(y) + 17*r(y). Factor g(b).\nAnswer: 4*b*(b + 2)*(b + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 + 3*v**2 + 4*v + 1. Let o(t) = 7*t**3 - 2*t**2 - 3*t + 1. Give 3*o(q) + 2*r(q).\nAnswer: 9*q**3 - q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from {n: 1, l: 5, h: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 1. Let m(l) = 3*l**2 - l - 7. Let w(c) = m(c) - 6*s(c). Suppose -q = -13 - 0. Let v = q + -14. What is w(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/21*(-1659)\/1185.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - -3. What is the common denominator of 89\/18 and 0 - (500\/q - 4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6194192205 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 9*k + 0 + 1\/78*k**4 - 2\/13*k**3 + 5\/13*k**2. Factor d(i).\nAnswer: 2*(i - 5)*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 202 = c - 45, 0 = -2*f + c + 318. Calculate the greatest common divisor of 184 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*s + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17813.\nAnswer: 47, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6.6. Let w = 6.6 + x. Let n = -118 + 117.8. Which is the biggest value? (a) n (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38904 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37387, -74635, -111883?\n\"Answer: -37248*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 4, -103.749, 57?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -27 + 2*b**3 - 11*b**3 - 26 - b + 51. Let n(s) = -3*s. Determine p(n(j)).\nAnswer: 162*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/88 - (-3)\/(-12). Let z = 0.03 - -0.77. Let r = -1.1 + z. What is the closest to 1 in 2\/7, r, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3cc (base 14) to base 2.\nAnswer: 1000001110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) - (-7)\/(-2). Let n be (2\/(-8))\/(2 + (-605)\/308). Is n equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17421, 35993, 54565?\n\"Answer: 18572*v - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 901?\nAnswer: 180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33522 and 6216.\nAnswer: 938616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 48*u - 17604. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 200 = 1136 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 - 606. Let a = -369.7 - r. What is a rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -7*i - 432. Calculate the remainder when i is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8416.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37090627*j**2 - 43637117*j - 1?\nAnswer: 74181254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*j**2*v**4 - 2409*j**2*v**2 - 13149521*j**2 wrt v.\nAnswer: -196*j**2*v**3 - 4818*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6050000 to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 8. Suppose -3*k = 2*o + 4, -3*k - 5 - 7 = 0. Let u be g(o). Let z be (6\/9)\/(1 + (-14)\/12). Sort u, 9, z in increasing order.\nAnswer: z, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*u**4 - 149*u wrt u.\nAnswer: 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dththzhzzattwwwwt. Give prob of sequence atdt.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 68. Let w(s) be the third derivative of s**5\/15 + 2*s**2 - 97. Give w(h(b)).\nAnswer: 4*b**2 + 544*b + 18496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 91 = -39. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348241832?\nAnswer: 2, 3, 7, 31, 86293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + -71. Let k be ((-36)\/45)\/((-4)\/h). Calculate the highest common factor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/108 and -109\/276.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694121 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.086\nAnswer: 0.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 9. Let f(u) = 2*u**2 + 18. Let s(l) = 3*f(l) + 7*g(l). Let c(y) be the first derivative of s(y). Let o(w) = w. Determine c(o(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {y: 9, s: 3, c: 1, o: 3, z: 1, i: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/3)\/5)\/((-10)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 832 + -1438. Let s = t + 995. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -368, -806, -1190, -1496, -1700, -1778, -1706, -1460?\n\"Answer: 4*j**3 + 3*j**2 - 475*j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 27 = 3*f, -75*f + 64*f = -77 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14)*371\/106.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - (sqrt(4900)*2 - sqrt(4900)))\/(sqrt(112) + sqrt(112) + sqrt(112)*1 + sqrt(112) + sqrt(112) + sqrt(112)))**2.\nAnswer: 63\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 7*n, 12 = 2*d + 3*n. Let c be (14 - 4)*(4 + (-21)\/d). Calculate the greatest common divisor of c and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63130 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(78) + 2*sqrt(78) + sqrt(78))\/sqrt(6))*-1.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x - 180. Let b(v) = -34*v + 459. Let h be b(14). Let r(o) = -7*o**3 - 4*o**2 - 3*o + 4. Calculate the remainder when r(-3) is divided by d(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. What is the lowest common multiple of (-60)\/2*4\/(-10) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1 - 0) + 90. Suppose -18*y = -17*y + 3. Let s be -11*y\/(3 - 0). What is the greatest common divisor of v and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-562)\/48 - -2) + (54 - 6) + -43 and -1 + -1 - (-11)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m - 2. Let i = m - -3. Let o = 6 - i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 4693 in increasing order.\nAnswer: 4, 10, 4693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. Suppose o*j - 45 + 25 = 0. Suppose -795 = -j*y - y. Is y a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 6*d**4 + 2*d**2 + 0*d**4 - 32*d**3 + 4*d**4 + 30*d**3 as o*d**3 + s*d**2 + c*d + g*d**4 + w and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o*w**4 - 200*o + 41*w**4 wrt w?\nAnswer: -4*o*w**3 + 164*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/420 - k**4\/4 + 5*k**2. Let p(b) be the second derivative of s(b). Let o(m) = 2*m. Give p(o(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {k: 1, p: 10, t: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207661 + 193124701\/930. Find the common denominator of 56\/33 and m.\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20668 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 3, -4\/17, -1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) + 6\/(-10). Suppose y = -4*w - 3*q + 1, 2*w - 2*q - 13 = -q. Suppose 2 = f - w. Which is bigger: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -310 in ascending order.\nAnswer: -310, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - ((3 - -2) + -6 + 5). Let y be -24 + 19 - t*-5. Which is the second biggest value? (a) -4 (b) 30 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 729*d**5 + 1701*d**4 - 1350*d**3 + 316*d**2 - 24*d = 0.\nAnswer: -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, v: 7}. Give prob of sequence vvvv.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(1116\/899)*1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 45, -30, 3, -2 in decreasing order.\nAnswer: 45, 3, 2, -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7471020078 to the nearest integer?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 5*p**4\/6 + 3*p**2\/2 + 7*p. Differentiate v(w) with respect to w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.566 - 251247126.\nAnswer: -251247125.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1397569 to 4 dps.\nAnswer: 0.1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - 40059746?\nAnswer: -40059766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = -19. Calculate the highest common factor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, v: 4}. What is prob of sequence ivv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-10)\/(-75)*-276. Suppose 174*a = q*a. Solve a = -67*k + 73*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/2947?\nAnswer: -2\/2947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 2\/7, -9918, 0.3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21342, 21344, 21362, 21402, 21470, 21572, 21714?\n\"Answer: t**3 + 2*t**2 - 11*t + 21350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/67 + 61\/201. Suppose 3*t + t + 5*q = -9, 3*t = 2*q - 1. Which is the nearest to k? (a) 4 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39813 is divided by 212.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*h = 21, u - 5*h - 30 = 6*u. Let c(l) be the second derivative of -l**3\/6 - 3*l**2\/2 - 2*l. Give c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -81.1. Which is the second biggest value? (a) f (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:08 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-19)\/a*(a**22*a)\/a*(a**11)**(-8\/3) assuming a is positive.\nAnswer: a**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 8\/17*r**2 - 2\/17*r**4 + 2\/17*r**3 - 8\/17*r + 0 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 1529.\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132537, -265065, -397593, -530121, -662649, -795177?\n\"Answer: -132528*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-5 - -17 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 2330810 - 2330810.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 - 1426*q. Determine b(62).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -75.3. Put m, -1, -0.2, 1\/6 in decreasing order.\nAnswer: m, 1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*u + y, -996*u + 993*u + y + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g**2*i - 24278*g**2*m**2 - g*i - 6640*i*m**2 wrt g?\nAnswer: -16*i - 48556*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from kqviqqvq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j - 537 = 53*j. Let o = 182 + j. Solve -2*y - 2*l - 3*l = -9, -l = 2*y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -8\/3*m**4 + m**2 + 71\/40*m**6 + 0*m**3 - 104*m + 0*m**5 + 0 - 1\/210*m**7. What is the second derivative of a(j) wrt j?\nAnswer: -12*j**2 + 1278*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.504703 and -10.7?\nAnswer: 15.204703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 300741\nAnswer: 60148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125334 and 3267?\nAnswer: 1378674","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 7\/(-14)*4*(-44)\/2?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.05 + 17. What is the closest to -1 in f, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4194 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by 21?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24418296761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80512650, 80512646, 80512640, 80512632, 80512622, 80512610?\nAnswer: 80512596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -452*s - 5147. Give t(-9).\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 46 = -26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 15*l**2 - 26*l + 7. Let k be b(-13). Let m(q) = 10*q + 20. What is the tens digit of m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 7*r**2 - 1. Suppose -4*g - g = 35. Let d = 13 + g. Does 12 divide n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14697*u**2 - 7372*u**2 - 7353*u**2.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -4, -0.05, -3, 43, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.988822629 rounded to 1 dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 + 5*q - 4. What is d(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41436.\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4372 and 29\/176?\nAnswer: 192368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*s - 2, 34*s - 37*s + 4*j = 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-3 + 2 + 0). Sort m, 5, 4.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4181517 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6292) - sqrt(6292))*-5 + sqrt(6292))\/((sqrt(484) - -6*sqrt(484)*1) + sqrt(484)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 2. Let z be t(9). Suppose 0 = -z*o + 4*o. Is -2 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87657*h**2 + 87617*h**2 - 175337*h**2.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 16. Let y be g(-13). Solve z + y*q = 0, 0*q = 3*z + q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 4*r + 1. Let k be p(-4). Suppose 0 = b - 3 + 5. Let y be 0 - 1\/9*b. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 - 377324*t + 160170076098 = 0. Calculate t.\nAnswer: 848979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2167 divided by 151\nAnswer: -2167\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 57. What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 17 - (82 - 88) - (0 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 6, 7, -4 in decreasing order.\nAnswer: 20, 7, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -44196*u + 88391*u - 3216*u**3 - 44195*u + (3 - 3 + u)*(3*u + u**2 - 3*u) in the form t*u**3 + j*u**2 + o*u + q and give t.\nAnswer: -3215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*y = 19, 2*h + 5*y = 6*h - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5530 and 420.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 130\/3. What is the second biggest value in 0.1, -1.5, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2954 and 1848?\nAnswer: 389928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 * -1\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**4 + 87*t**4 - 5*t**3 + 2 - 3*t**2 - 72*t**4 in the form k + o*t**4 + v*t**3 + c*t + y*t**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81422933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.18, -2, 1\/7.\nAnswer: -2, 1\/7, 0.18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.4, 4\/446083?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**4)\/v)\/v**(-5))**(-38)\/((v**(-1\/12)*v\/(v\/v**(3\/2)))\/(v*v**0*v*v)**(2\/25)) assuming v is positive.\nAnswer: v**(-102953\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/7, 5\/2, 28, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) -0.34 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174661946.\nAnswer: 2, 19, 1427, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9763 + 57734.\nAnswer: 47971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49066.9964 - 49052. Let h = -15 + i. What is h rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -3, 2, 7, 12, 17?\n\"Answer: 5*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let i(t) = 4*t + 2*t**3 - 185*t**2 + 0*t + 187*t**2 - 3 - 3*t**3 - 1. Calculate i(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (7 - 7) + 4 - 11) + -15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2 - 1 + 8*v - 2 + 3*v. Is 10 a factor of l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146889 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97*x + 33*x + 24*x + (x - 2*x + 4*x)*(3 + 2 - 3).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5674 is divided by 281?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*y**3 - 1305*y**3 + 804*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2))**26\/((s\/s**(2\/9))\/s)**(-13) assuming s is positive.\nAnswer: s**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715706570.\nAnswer: 2, 3, 5, 401, 142619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -994725179 plus -68?\nAnswer: -994725247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**3\/3 + 164*o**2\/3 - 1900*o\/3 + 1444 = 0.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3150.17571 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/167 + 366\/835. Factor 12\/5*z**2 - 12\/5*z + s.\nAnswer: 3*(2*z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5254.\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12819*z + 10371*z - 23190*z + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -54. Suppose 51 = 5*k + 2*z, -4*k + k + o = z. Let p = 1 - 0. What is the greatest common factor of p and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 - (7 + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a13764 - 54a?\nAnswer: a13215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 + 436*k**3 - 221972*k**2 - 39729972*k - 1723572720 = 0.\nAnswer: -188, -93, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3) + 6*4\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2151 - -330?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17958190 take away -0.3?\nAnswer: -17958189.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -55. Let h = -2.1 + -48.9. Let p = n + h. What is the nearest to -1 in p, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -6, -2, 6, 1273 in decreasing order.\nAnswer: 1273, 64, 6, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 251 - -0.06\nAnswer: 251.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 (base 11) in base 3?\nAnswer: 221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -97020 to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-88) + 548\/(-11). Let q be (66\/5)\/(15\/f). Let a = 57 + q. What is the remainder when 77 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975512035 to the power of 1\/2, to the nearest integer?\nAnswer: 31233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/(-36) + (-12243)\/693?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 + 187623*k**2 - 4880394*k - 10511256 = 0.\nAnswer: -62567, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(11) + sqrt(11) + -1 + 2.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*r + 99 - 293 - 43*r + 194 + 15*r.\nAnswer: -175*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*h - 2591, -2*c + 1283 = 3*h - 2*h. Suppose -6*w + c = -4774. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*r - 3*i - 11, -12 = -4*i. Suppose 0*d + 3*d + r*a = 20, 0 = 5*d + 2*a - 38. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:18 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 345111 = -7*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*s**2*x + 8928*s**2 + 46280575*s*x + 2*s wrt s.\nAnswer: -268*x + 17856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26872.93 + 26863.929997. Let c = -4 - -13. Let a = f + c. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*t - 46*t + 15*t**4 + (2*t**2 - 2*t**2 - 3*t**2)*(-2*t**2 + 3*t**2 - 3*t**2) as m*t + w + y*t**4 + d*t**2 + k*t**3 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 4*f**4 + 4 - 8 + 9 + 522*f**2 - 550*f**2 to the form o + p*f**3 + s*f + q*f**4 + c*f**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + 11. Let m = k - 31. Solve 0 = m*y - y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v + 5*z = 2340, -466 = -v - 2*z. Suppose 5*r - 775 = v. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2330 + 33033?\nAnswer: 30103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {w: 6, x: 1, r: 5, p: 1, b: 1, u: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 - (1 + -7) - 0. Let c(u) = -u + 1. Let s(k) = -7*k + 9. Calculate v*c(y) + s(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Let o(m) = 3*m**2 - m + 3. Let j be o(-5). Suppose 4*l - 76 = -4*v, v - j = -b*l - v. Solve 5*t - 5 = l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 - 14*y**2 + 12*y**5 - 9*y**5 + (-4*y**3 + 0*y**3 + 2*y**3)*(5*y**2 + 2*y**2 - 3*y**2) - 5*y**4 + 5*y**4 - 8*y**5.\nAnswer: -19*y**5 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.116 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:01 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.74 + 336.\nAnswer: 336.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -337*t + 353*t - 123 - 21. Solve -t = -3*f, 3*d + 4*f = -12 + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x + 21*x - 59*x**3)*(-1 + 2 + 0 + (3 - 5 + 1)*(3 - 1 - 1) + 1 + 2 - 2 + 0 + 5 - 2).\nAnswer: -236*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -97? (a) 4\/49 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 + 7.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 34 - 266. Let t = -44 - u. Suppose g - t*g + k = -15, -4*g + 5*k = -12. What is the biggest value in g, -1.5, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0)*2 + -1)**2.\nAnswer: -32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 10:05 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.287*382.\nAnswer: -109.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 3*d. Let o(b) = -b**2 + 2*b. Suppose -6 = 6*w + 12. Let a be ((-8)\/4)\/((-2)\/w). Give a*o(l) + 2*m(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((528\/(-814))\/(-6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 602 - -108. Let z = t - 719.26. What is z rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25688*i**5 + 1514*i**2 - 2*i - 1 wrt i?\nAnswer: 1541280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 5\/6*l**3 + 0*l**2 + 1\/2*l**4 + 0 - 6*l. Find the second derivative of b(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 6*x - 14 = 0. Put x, 3, -3, 5 in increasing order.\nAnswer: -3, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 152 = 4*b, 3*b + 47 + 112 = 2*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111220210 (base 3) to base 6\nAnswer: -4003033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.16 + -0.16. Let q = 6.7 - x. Let v = 0.1 - q. Put v, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (3 + (-11 - 2)). Let p = r + -9. Suppose 0 = -2*d + 5*z - 3*z - 4, 12 = -p*d + 3*z. Let n(t) = -t**3 - 6*t**2 + t + 8. Give n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -56*a - 432. Let q be j(-46). Let l be (q\/(-1064) - -2)*-14. Factor 10\/19*s**2 + l + 22\/19*s.\nAnswer: 2*(s + 2)*(5*s + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + r - 33, 5*r + 23 + 8 = -3*u. List the prime factors of (u - 4)\/((-2)\/6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2. Let u(z) = -169*z + 169*z + 2*z**2. Calculate u(a(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 27 = 67*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 14*d + 6. Let r be n(12). What is the highest common factor of 35 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10954*t - 2*t**2 + 10954*t - 4 - 4*t**3)*(198*t - 198*t - 39*t**2).\nAnswer: 156*t**5 + 78*t**4 + 156*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/7 + 38 + -1. Let w = p + -28. Let a(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 5*j**2\/2 + 9*j. Give a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814016760.\nAnswer: 2, 5, 37, 1225687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-7) - 10\/(-70). Suppose 0 = -2*m - p*m + 2. Suppose 6 - m = f. Calculate the remainder when f is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 8932*x + 43 + 8932*x + (-47*x + 134*x + 29*x)*(-3*x**2 + x**2 + 0*x**2).\nAnswer: -230*x**3 + 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 84. Let y be -4 + i + -4 - -5*20. Suppose 4*a + 3 + 58 = 3*g, -y = -4*g - 3*a. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14644*d**2 - 29294*d**2 + 14647*d**2 + 3*d**3.\nAnswer: 3*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45069 - -83484. What are the prime factors of n?\nAnswer: 3, 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1394 and 10279033.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5532479?\nAnswer: 1427, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i*q**2 + 147*i*q - 54*q**2 - 2 wrt q?\nAnswer: -8*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**12)\/(h*h**2\/h*h))**(-3\/4) assuming h is positive.\nAnswer: h**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 16) to base 2\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -35543.26264 to the nearest 10.\nAnswer: -35540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 51628?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -11*t - 6*t. Let j be (-8)\/t + (-48)\/120. Let i = 0.2 - -0.3. What is the smallest value in i, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 11*d**3\/3 - 2*d. Let r(q) = -7*q**2 - 5*q - 34. Let l be r(7). Let g = l - -411. Give y(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) 1 (c) -1\/6 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from baabbbbbbbbbbba?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/25)\/((-9)\/(-15)). Suppose 0*h - q*h = -6. Suppose h*k = c + 6*k - 278, -3*c - 5*k = -820. What is the greatest common factor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 48. Let c = a - 0. Let h = -21 + 26. Solve h*p + c = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4351 divided by 1\nAnswer: -4351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5468*o**2 - 2*o. Let y(q) = -34*q + 3. Let i(f) = -67*f + 6. Let r(j) = -2*i(j) + 4*y(j). Determine r(m(h)).\nAnswer: -10936*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**5\/25 - 4*c**4\/15 + 2*c**3\/5 + 157*c - 132. Let l(x) be the first derivative of n(x). Solve l(j) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72454111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/11, -6\/11, -7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -167, -338, -569?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 144 (b) 13 (c) 4 (d) -4 (e) -40 (f) 5 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.047927?\nAnswer: 0.0047927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 0.1, 12, 0, 4\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(4\/12*3). Let y = u - -13. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 1156, 2609, 4644, 7261, 10460, 14241?\nAnswer: 18604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24073321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 197839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 172708950 = 172708951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - s - 64 = 0. Put -4, s, -0.5, -4\/7 in decreasing order.\nAnswer: s, -0.5, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*c = -106*c - 176*c - 1448 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -115\/8, 2\/41, 4, 2, 5, 0.1?\nAnswer: -115\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5664\/5 or -1132?\nAnswer: -1132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-21)*6\/(-2). Let t(y) = 96*y**2 + 2*y**3 - 2*y - 98*y**2 + 1 + v. Let m be (-8)\/(-5) + (-2)\/(-5). Determine t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 8*c - 2. Let b be 57\/9 - (-4)\/6. Let y(r) = 9*r**2 + 17*r - 4. Let u(h) = b*g(h) - 3*y(h). Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:19 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3))\/(((-1)\/(-3))\/(24\/30))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 + 30. Does 4 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 26*r + 105. Let m be s(-5). Let g be (-7)\/35 + (-21)\/(-5). Suppose -1 - 16 = o - g*v, -3*o - 3*v = 6. Put o, m, -2 in decreasing order.\nAnswer: -2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 103702723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 274.1, 4556, 8 in increasing order.\nAnswer: 8, 274.1, 4556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5\/(b**8\/b)*b**(-2\/3)*b**1*b*(b**(-2))**6*b**(-5)*b**(3\/2) assuming b is positive.\nAnswer: b**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - 4 - 15\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:08 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 0*b - 1\/8*b**4 - 1\/60*b**5 + 3*b**3 - 228*b**2. Determine u so that g(u) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 - (-64 + 195 - 288)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 - 2*g**3\/3 - 2*g**2\/3.\nAnswer: -g**2*(g + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.5075 + -33.88. What is f rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7686 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8192.23374 to the nearest integer.\nAnswer: 8192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23862091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/14*28\/(-126)*6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7388 (base 11) to base 16.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - v, -5*m + 15 = 5*v. Suppose -m*c - y + 25 = 0, -3*c + y + 4 = -3. Is -2 + 46\/c*10 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:23 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*d - 119 + 24 = 0, 3*s + 3*d - 144 = 0. Suppose 0 = -a + 24 + s. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 25. Let g(p) = -2*p**3 - 5*p**2 - 4*p - 6. Let l(r) = r**3 + 4*r**2 + 3*r + 5. What is o*l(w) + 3*g(w)?\nAnswer: -2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 144. Suppose -72 = -5*g - g. What is the highest common factor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -196396, -393588, -590780, -787972, -985164, -1182356?\n\"Answer: -197192*c + 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 48 = n. Let z be (-4)\/(-10) + n\/(-15). Suppose -4*k + 7 = -u, u - 20 = -z*k - 3*k. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 40, -1\/6, -4.6, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 20432*g\/3 + 20438.\nAnswer: -2*(g - 3)*(g + 10219)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wllh when four letters picked without replacement from wswwshwwsl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -95010, 4, -2 in decreasing order.\nAnswer: 4, -2, -95010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p*s*v*z**2 - 17*p*s*v - 5*p*v*z - 4*p*z - 33*s*v - s - 84*z**2 wrt s?\nAnswer: 3*p*v*z**2 - 17*p*v - 33*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(2\/(2 - 1)). Let h(x) = -x**3 + 7*x**2 + 3. Let m be h(g). Suppose m*u - 41618 = 105382. Round u to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.1, 5, -2\/55?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 117, -5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/4)*b)*b*b)**23*b**1*b\/((b*b*b**4\/b)\/b)*b)**(-32) assuming b is positive.\nAnswer: b**(-1256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/5)*m*m)\/m**(-3)*m**(4\/3)*m**(-1)*((m\/m**(2\/9))**50)**(-36) assuming m is positive.\nAnswer: m**(-20917\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186503627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.22328614 rounded to 1 dp?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 595477527 a multiple of 4793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (687\/6183)\/((-12)\/27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**4\/4 + x + 4. Let o(a) = -3*a**3 - 4*a**2 + a - 5. Let h be 2 + (-13)\/(39\/9). Calculate h*o(p) - 5*g(p).\nAnswer: -2*p**3 + 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62460 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -41*h + 2099. Let y(k) = 137*k - 6298. Calculate 10*g(b) + 3*y(b).\nAnswer: b + 2096","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 105 = -2*a + 241, 5*f - 4*a - 8 + 22 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262*t**3 + 4*t - 4*t + 1255*t**3 - 14.\nAnswer: -7*t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 480006 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*o + 4502 + 5578. What is the fourth biggest value in 2\/5, 0.3, 5\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j**2. Let h(a) = -3*a**2 + a + 237. Calculate h(c(m)).\nAnswer: -675*m**4 - 15*m**2 + 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(98\/264))\/(3\/(-84)). Suppose 5*s - h + 1063 = 9*s, -4*h + j = 2*s. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6886 = 13*r - 3137. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - (-8 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 12. Let f = j + 6.7. Suppose -t + 0*t + 5 = 0. Sort t, f, -5 in decreasing order.\nAnswer: t, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15181 - 0?\nAnswer: 15181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*a**3*c**2 - 1016*a**3 - a*c**2 + c**2 wrt c.\nAnswer: 82*a**3*c - 2*a*c + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - a**2 - 3*a**3 - 4*a - 1 + 4*a**3 - 5*a in the form p*a**2 + u + b*a**3 + d*a and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 300 = 4*y. Suppose -y - 436 = -8*i. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 - 7*v**4 + 1366*v**3 + 2*v**2 - 512*v - 3 wrt v?\nAnswer: -120*v**2 - 168*v + 8196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -36 - (4 + (-3 - 4 - 4) + 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(320)*3.\nAnswer: 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1596, 2, 4.\nAnswer: 2, 4, 1596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 0*v**2 + 2*v - v**2 + (-15*v + 42 - 42)*(-2 - 2 + 3)*(6*v - 5*v - 2*v) - v**2 + v - v to the form q*v**2 + j + l*v and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 30*k**2 + 72*k = 0 for k.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**4\/4 + 1024*v**3 + 1058*v**2 - 1744*v + 388 = 0. Calculate v.\nAnswer: -194, -2, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 6768.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-7) + (-236)\/(-28). Suppose b + 6 = p. Solve -a = -2*t - b, -5*a + 11 = 2*t - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*60\/(-2145))\/(10\/585)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**6\/360 + b**4\/12 - b**3\/3 + 3*b. Let v(x) be the second derivative of d(x). What is the first derivative of v(j) wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025993139 + 0.3?\nAnswer: 0.274006861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m - 8. Let y(t) = 3*t - 4. Give -2*r(v) + 5*y(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7045*d + 15573*d - 6551*d.\nAnswer: 1977*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 151. Suppose -5*k - 142 = -2*m - k, -4*m + 2*k + 266 = 0. Find the second derivative of -8*n**5 + n - m*n**2 - 7*n + 65*n**z wrt n.\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000156165811 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - -3) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1577245 by -1.\nAnswer: 1577245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3132 - -0.0868. Sort -43, -2, f in descending order.\nAnswer: f, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) + (-4784)\/(-182). Suppose -28*d = -z*d - 136. Suppose 194 = d*g - 66*g. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.3112 times 0.3803\nAnswer: 4.30164936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -340*q**3 + 61*q**3 - 248*q**3 + (3*q + 3*q - 4*q)*(-4*q**2 + 2*q**2 + q**2 + (0*q - 2*q + 0*q)*(-2*q + 2*q + q) + (q + 2*q - 2*q)*(0*q - q - q)).\nAnswer: -537*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let q(m) = -733398*m**2 + 36*m. Give q(i(w)).\nAnswer: -733398*w**4 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/(-14))\/(3\/((-18)\/3)). Let y be ((-2910)\/388)\/((-2)\/7 + 11\/14). Put 0, 2, y, b in increasing order.\nAnswer: y, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + -55 - (-5)\/(-1) - 1. Let w(g) = g**2 + 36*g - 68. What is the remainder when w(a) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -75?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a8 (base 13) to base 16.\nAnswer: -1306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {x: 2, g: 2, p: 4, m: 3, q: 2, i: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326 + 421 - 490)*(3*v - 2*v - 2*v).\nAnswer: -257*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9866 is divided by 151.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 239\/4 - (-6)\/24. Let y = -42 + u. What is the lowest common multiple of y and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 33*p + 2696. Calculate r(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 2*k + 4*k + 0 + 2*k + 0 - 2*k + 0*k + 3*k + (-4 + 0 + 2)*(-3*k + 4*k + k) + 13*k - 4*k + 4*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 304 = 2*k, 0 = -16*k + 17*k - 4*g - 166. What is the lowest common multiple of k and (29 - 32)\/(3\/(-2))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 4. Let s(k) = k**3 - 5*k**2 + 5*k - 4. Let p be s(4). Let a be z + 3*(1633333 - p). Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268786044.64 to the nearest 10000.\nAnswer: -268790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (8 + -14 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 16*m**3\/3 + 8*m**2 + 4*m + 56. Suppose u(z) = 0. What is z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400645 (base 8) in base 10?\nAnswer: 131493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 71. Suppose 2*t = -3*k + 6*t + g, 3*k + t - 37 = 0. Calculate the remainder when 39 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543718219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/343)\/(2\/(840\/(-45)))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109896259087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 139 + 52 - 537. Solve -11*k - y = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*22\/(5808\/360)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10875 - 10867. Solve -k*h - 242 + 290 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 424\/(-12)*(-13674)\/172. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = s + 278. Let i(c) be the third derivative of -1\/100*c**5 - 1\/300*c**6 - 4*c**s + 2\/15*c**3 + 1\/30*c**4 + 0 + 1\/1050*c**7 + 0*c. Factor i(g).\nAnswer: (g - 2)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11032\/40 - (-1)\/5 - 0. Let q(a) = 275*a**2 - a - 1 + 4*a - 4*a - b*a**2. Give q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uode when four letters picked without replacement from {k: 2, o: 4, e: 3, n: 2, d: 1, u: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-1)**2 - sqrt(2))*-6 + 2.\nAnswer: -586 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggll. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1081 - 1456 - 1553 - 703 - 681 - 1323)*(-6*w**2 - 20*w + 20*w).\nAnswer: 40782*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17568528083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.5? (a) -3\/13 (b) -4\/7 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) -23444 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -4*v + 64, 2*m + 10 = 0. What is the remainder when 76 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 549573156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from {m: 2, z: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-3 - -2) + (-2 - -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -13. Let c = -5 + f. Let p(t) = 3*t. Calculate p(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i = -147*i + 89 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13939610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.32 - 0.32. Which is the second biggest value? (a) 2\/5 (b) -3\/5 (c) 3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30251 (base 7) in base 15?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503710 is divided by 192?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 - 7*l + 2. Let t(k) = 8*k**2 + 12*k + 4. Let c(n) = -3*n**2 - 4*n - 1. Let d(u) = 7*c(u) + 2*t(u). Give 5*d(x) - 3*z(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 66. Calculate s(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.4, 2\/3, -81?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1334 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 915\/(-3720) - ((-57)\/(-8))\/(-19)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 divided by -14?\nAnswer: -1021\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/6 - 4*x**3\/3 - 3*x**2 - 8*x\/3 - 1. Factor k(d).\nAnswer: -2*(d + 1)**2*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**2 + 3345354*b - 3345354*b.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -24*t + 2513*t**2 + 23*t**3 + 65 - 2513*t**2. Differentiate g(d) with respect to d.\nAnswer: 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from epvaqyveypqe.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let k be 1 + -5*(-3)\/5. Let j(t) = -k - 3*t + 14 + t + 3*t. Calculate y(j(s)).\nAnswer: -s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8100 = -6247*m + 6067*m for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/2*(-40)\/15. Suppose -35*f + n*f = 1305. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44127*s*v + 35009*s wrt v.\nAnswer: -44127*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 13*r**2 + 13*r - 18. What are the prime factors of b(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13662 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 165?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 331 = -332 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1916*h + 938836. Give c(490).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -66.404.\nAnswer: -5577.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -791\/1268739 - 63859278673\/4328937468. Let r = -2\/853 - u. Find the common denominator of r and 49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 469*l - 468*l = -940*l - 99, 4*l = -39*q - l + 1067 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/150 + 7*f**5\/50 + 23*f**4\/20 + 14*f**3\/3 + 10*f**2 + 150*f. Factor k(a).\nAnswer: (a + 2)**2*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 9.12. Let c = -124 + 117. Let q = k + c. What is the third biggest value in 3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 203038955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(0 + sqrt(125)) - sqrt(125)) + 2 + sqrt(125)*2 + sqrt(125) + 3*((1*sqrt(125)*2 - sqrt(125))**2 + (-1 + sqrt(125) - sqrt(125))*3).\nAnswer: 5*sqrt(5) + 371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 394, 592, 790, 988?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 + 2*c - 2. Let p be -2 - (2 + (-2)\/1). Let u = 4 + 1. Suppose 10 = 5*i - u. Let y(h) = -4*h**3 + 3*h - 2. Give i*g(x) + p*y(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1344\/(-9))\/((-5)\/15). Let k = 457 - n. Let z = 5 - 5. What is the closest to z in 0, 0.3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367355?\nAnswer: 5, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/5 + 186\/62.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15057.9 (b) -0.1 (c) 2\/427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/90 - o**4\/6 - 7*o**3\/6 + 14*o**2. Let g(i) be the first derivative of n(i). Factor g(x).\nAnswer: 4*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.01, 124981, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 9:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -127*z**3 + 4*z**2 + 2. Let w(s) = -128*s**3 + 5*s**2 + 9. Determine -5*i(x) + 4*w(x).\nAnswer: 123*x**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 4*f**2 - f + 12. Let q be a(-3). Let l be (q\/(-10) - -1)\/((-147)\/(-11760)). Solve 8*b + 0*b = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/((-28800)\/1215))\/((-6)\/(-32))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463012531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202194191?\nAnswer: 307, 658613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**2 + o**2 - 13 - 3*o**4 + 13 + o + o**4 - o + (4*o + 2*o**3 - 4*o)*(-o - o + o).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7169000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 - -2.4. Round t to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 40778?\nAnswer: 203890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10383, -10504, -10657, -10842, -11059, -11308?\nAnswer: -11589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 979.4937 years?\nAnswer: 0.9794937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -9410?\nAnswer: -9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:59 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*x + s + 453, -4*x + 359 = s. Suppose 0 = -4*a - 6 + x. Solve -q = -5*d + 6 + 9, -2*d = 5*q + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 5*c**2 - 2*c**2 + (2*c + 2 - 2)*(4*c - 3*c - 3*c) - 38*c**2 - 13*c**2 - 242*c**2 + (-c + 2*c**2 + c)*(-1 + 2 - 3).\nAnswer: -299*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/763526 and 15\/1594.\nAnswer: 763526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 7. Let d(y) = 9. Let n(h) = -h + 37. Let s(m) = -9*d(m) + 2*n(m). Let r be s(l). Let p(o) = -4*o**3 - o**2 + o. Determine p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34915*j**3 - 69832*j**3 + 34911*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(9\/(-3)) + -3 + (50 - -1). Solve 353*f + o = 363*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 5, -x + 4*d = 14. Let i = -42 + 15. Let v = 32 + i. Which is the biggest value? (a) 0 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.6. Let t be ((-1670)\/(-52))\/((-4)\/(-40)). Let k = t + -321. What is the nearest to -4 in p, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*n + 44*n**2 + 35*n**2 - 80*n**2 - 4*n**3 in the form h*n + a*n**3 + t + i*n**2 and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 292708571 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**3\/9 + 5*j**2\/3 - 7. Factor u(w).\nAnswer: 2*w*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -871*v + 814*v + 570 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-9) - -1)*3. Let c = d + 8. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2 + sqrt(26))\/sqrt(2))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-39)*(-3 + (-18)\/(-15)). Which is the smallest value? (a) 2 (b) -117 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/24)\/((-9)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b**4 - 4*b**4 - 2*b)*(-1 - 3354*b + 6703*b - 3357*b).\nAnswer: 16*b**5 + 2*b**4 - 8*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/2*(124\/(-16) - 3). Suppose -2*d = -8, 4*g - 5*g = d + h. Let r = 48 + g. What is the highest common divisor of 14 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/3)\/((-3)\/9). Let r = b + 2. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5018 + -4916.9. What is b rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + i - 145 + 360 = 0, -20 = 4*i. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 28*y**2 + 31*y + 94. What are the prime factors of c(28)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 258. Factor -41*z + 172*z**3 - 36 - 27*z**2 - p*z**3 - 19*z.\nAnswer: -3*(z + 1)*(z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35285 divided by -7057?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-110))\/(18\/1260)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2662476460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/9 + 181*h**3\/9 - 1610*h**2\/3 + 46300*h\/9 - 151000\/9.\nAnswer: -(h - 151)*(h - 10)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/9)\/((-5)\/(-150)). Let p = u - 35. Suppose 9 = p*r - 116. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 14*o - 12. Suppose -4*c + 213 + 155 = o*u, 0 = 4*c + 20. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 9*x + 1. Let p = 376 + -184. Let c = 182 - p. Determine o(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3208, -6412, -9616, -12820?\nAnswer: -16024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498626419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((-140)\/25 + 33\/55). Solve -3*x = -5*g + 34, 2*x = -c*x - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24359, 97668, 219929, 391142, 611307, 880424, 1198493?\n\"Answer: 24476*p**2 - 119*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shh when three letters picked without replacement from {s: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455875 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:51 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*a + 65, 756*a - 20 = 752*a + 5*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-47 - -48) - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - 312. Solve 2*k + b = -g - 4, -24 = 3*g + 3*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:40 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9794916 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178567, -710610, -1597347, -2838778, -4434903, -6385722, -8691235?\nAnswer: -11351442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 34230 - 34271 = 54*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i + i + i + 2*i**2 + 2*i.\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -8*w - 1790. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.3. Let y = r - 0. Let i = -279 + 278.5. Put -3, y, i in decreasing order.\nAnswer: y, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 3, 46, -273.7, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5\/4 + 6741*g**4\/4 - 23541*g**3\/2 + 23526*g**2 - 13440*g = 0.\nAnswer: 0, 1, 2, 4, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + 393648?\nAnswer: 393623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s - 6. Calculate y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447445 to the power of 1\/2, to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -9. Let o be 3 - (-3)\/w*0. Suppose o*x = 4*g - x - 24, -22 = -3*g - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156208 and 6972284?\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**3 - 34*n**2 - 3*n. Let x(v) = 11*v**3 - 35*v**2 - 4*v. Let d(t) = 4*u(t) - 3*x(t). What is the third derivative of d(p) wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 209*w - 2. Let a(b) = -414*b + 4. What is -3*a(h) - 5*o(h)?\nAnswer: 197*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 45 = 2*g. Suppose g*l = 47*l + 39890. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*((-147)\/147)\/(3\/1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) + 50\/(-18). Let d be (-2 - -3)\/(x\/(-75)). Suppose c - 7 = 4*q - 2, -5*c = 5*q - d. Solve -l + c*l + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53041 - 13739 = 841*t + 113*t for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - (1 - (9 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + 9\/2. Suppose 5*j + 0 = -4*t - 7, 2*j - 2 = -q*t. Suppose 4*m**2 - 2*m**t + 3*m**2 - 3*m**2 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*t - 7472656 - 2607332, -4*t - 25200016 = -5*l. Suppose 2*i - l = 5*i. What is i rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*y + 6*y. Suppose -y*p + 4*p = -4680. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -277283 (base 14) in base 8?\nAnswer: -5150463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 7. Let n = 4 - 12. Let v(w) = w**2 + 4*w + 1. Let l be v(n). Suppose -2*u = 3*x - 10 + l, x + 1 = u. Give p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24676 is divided by 1293.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40561.65 tonnes to kilograms.\nAnswer: 40561650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2761962952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:34 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 872*g**3 - 3*g**2 + 3. Let u(a) = -1745*a**3 + 5*a**2 - 5. Determine 3*u(y) + 5*w(y).\nAnswer: -875*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708393.\nAnswer: 409, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 4)*(1 - 2 + 4) - 2 + 4 - 1)*(203 - 203 + 75*x) to the form g*x + v and give g.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*f**3 - 14*f**3 - 3*f**2 + 6*f**2 + 12*f**3 - 7*f**3 to n*f**3 + o*f**2 + y*f + d and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 0.2, -0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19011 is divided by 705?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.058 (b) -0.53 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -83, -4, 0 in descending order.\nAnswer: 1, 0, -3, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 + 8*u + 5. Suppose -2*v - 5 = -77. Suppose -4*g = -2*s + 24, -5*g + 2*s - v = -2*s. Let x = -9 - g. Determine p(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1)*o*o\/o**(2\/21) assuming o is positive.\nAnswer: o**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 0, 0.3, -7\/12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9215 and -1.\nAnswer: -9215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8292 by -4.\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let c(f) = -3*f. What is c(i(v))?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16791396 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/3 - 99214*z**2 - 595292*z\/3 = 0. Calculate z.\nAnswer: -2, 0, 148823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**5 - 277*c**3 + 277*c**3)*(-5 + 100 - 7 - 3).\nAnswer: -935*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14671, -15967, -17263, -18559?\n\"Answer: -1296*h - 13375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 21. Let n be m(-3). Let t(w) = -w + 4. Let r be t(5). Sort -3, r, n in ascending order.\nAnswer: -3, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/48 - j**3\/12 + 8*j. What is v in m(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 51. What is f rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143080 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 - -1)*(-2)\/3. Let x = u + -5. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 33858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*u - 8839 + 8839)*(1 - 3 - 1).\nAnswer: -393*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -730 + 731. Let a(v) = -v**2 - 2*v + 4. Suppose 3*c - 2*g = 7*c + 14, -5*c = -g + 14. What is the remainder when a(c) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814 is divided by 356?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 13*b**2 - 5. Suppose -12 = 2*w, 3*f + 3*w + 58 - 79 = 0. What is q(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633600?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 241*r**2 + 5. Let g(f) = 11088*f**2 + 231. Give 231*c(j) - 5*g(j).\nAnswer: 231*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:23 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84568 or 84569?\nAnswer: 84568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2029369855 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 77 = 4*s. Let k = s - -33. Suppose 113 = 3*a + k*r, -2*a - 2*a + 145 = -3*r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 883744 and 883729 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7380.4 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r**4 + 756*r**3 + 2180*r**2 + 1008*r - 400 = 0 for r.\nAnswer: -2, -1, 1\/4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s + 23 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(931) + 3 - (6*(-1 + sqrt(931)) - sqrt(931))))**2 + 1.\nAnswer: -224*sqrt(19) + 14913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 13. Suppose 0*q = -q, -u*k + 20 = -4*q. Solve -k*w - 6 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 4*q)*((2 - 2 - 2*q)*(-1 + 0 + 3) + 10*q - 3*q + q)*(-22 + 2 - 10).\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 51 = -42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 389611160 divided by 65371?\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 + 8 = 0. Let v be 3 + -7 + x\/(-3). Let y = 151 - 1055\/7. Which is the closest to 0? (a) v (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/4*(2 + -6). Suppose 3*l - h = 8. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**3 + 40*v**2 - 4*v - 8. Give g(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 10*q - 44 = 5*w, -w - 20 = -2*q. Solve x - 6 = y, -4*y - 25 = -q*x + 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*m + 102, a = 3*m - 42 - 22. Suppose -36 = -3*k + m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 376154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4522 - 1582. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98 - 1?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14291364 - 6321379. Suppose 0*n - 5*n = m + r, 5*m + n + 39849997 = 0. What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11120 is divided by 743?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 13. Suppose -t = -4*k + 8. Suppose r - k*r = 3*p - 126, -5 = r. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 104*v - 79. Let r be n(15). Suppose 15*o - 11*o - 4 = 0, o = 3*d - r. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 5*v. Suppose v*x - 3*x = -5*o - 27, -o - 5*x = 11. Are -13\/2 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 463 (base 7) to base 5\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*c + 4*t, -2*t + 35 = 5*c - 3*t. Solve -c = -4*i + 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 382007 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 2*v**2 + 2*v + 2. Let l = -14 + 18. Suppose 5*n = -l*a + 151, -2*a - 3*a - n = -173. Calculate the remainder when a is divided by d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, 2107, -0.1, 2, -3 in descending order.\nAnswer: 2107, 5, 2, 1, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 12*k**3 - 22228*k**2 + 7408*k = 0?\nAnswer: 0, 1\/3, 1852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48892 and 1088?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 7*p + 11. Let h be n(-3). Solve 4*u - 4*g = g - 13, 4*u + g - h = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from sgatc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = -22*y - 6*y - 337 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107967794 by -11.\nAnswer: -9815254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 5, z: 1}. Give prob of sequence fz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -161387b - -4?\nAnswer: -1613877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - -4) + 17\/16 and -61\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402914979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49394*-5.\nAnswer: 246970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60407603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19 - 7*r + 19 - 5 - 2. Let u(i) = -4*i - 3. What is -2*t(y) + 5*u(y)?\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.16448ml in litres?\nAnswer: 0.09016448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 580503 divided by -3?\nAnswer: -193501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:34 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2 + 4*l - 4. Let b(g) = -2*g**2 - g + 1. Let a(y) = -4*b(y) - u(y). Let d(h) = 2*h. Determine d(a(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:30 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925062093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053878 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**2 + 502 - 254 - 142 + 2*v**4 + 3*v**3 - 5*v**2 to q*v**3 + a*v**4 + s + u*v**2 + r*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100\/3 at most as big as -1218971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.888 - -0.12?\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 + -70?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 488.\nAnswer: -585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*b, -2*b + 27 = -2*x + 11. Let v be (2\/3)\/(2\/12). Let j = v - b. Solve -k - 2*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/72)\/((18\/4)\/3) + 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -43.16. Let s = c - 3. Let x = 0.16000052 + s. What is x rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let g(l) = -7*l - 8. Suppose 5 = -3*v + 4*u, -3*v + 7*v = -5*u - 17. Let d be g(v). Solve 21 = 3*x + c*a, -x - 4*a + 2 = -d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 27*v + 147 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6 - 6 - p. Let u(k) be the first derivative of -k**3 - 14*k + 2113. Determine t(u(c)).\nAnswer: 3*c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11045 + -176785\/16. What is the common denominator of 47\/2 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*j + 7 + 3*j as i*j + h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 126413*a + 1264027. Give v(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0765 - -0.3235. Put f, 7, 1\/5 in increasing order.\nAnswer: 1\/5, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2 - 22. Let x = a + 15. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242)\/231*((-5950)\/(-51))\/(-50).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - 1) - (-1 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 2*f - 17, -4*i - 62*f + 65*f = -23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -420 - -730. Let c be -7 + (5 - 3) - -9. Suppose 0 = c*z - 54 - l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -v, -17 = 9*j - 4*j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c + 618. Let g = -188\/5 - -151\/5. What is the common denominator of c\/(-24) - (-4)\/(-12) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-8)\/6. Let w be (0 - 2) + (m - 0). Let c be (-34)\/(9\/(27\/6)) - -19. Solve w = -3*f - c - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7373 + 7373 + 1906097*w.\nAnswer: 1906097*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Let l = -5 + g. Let k = 3 + -2.9. Which is the closest to k? (a) 0.1 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89 + 9?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 622547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(12\/1) - 5\/(-100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 96756 + 16357?\nAnswer: 113113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2016)\/51408*3\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44813 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (1 - (11 - (-6 - -20)) - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5)*u)\/(u\/(u\/u**(-2))))\/(u**(-2))**(-16) assuming u is positive.\nAnswer: u**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + -5 + 10 + -33.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17110808.\nAnswer: 2, 11, 13, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048*b - 71*b + 21052 = 104830 + 31508 for b.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4785 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/5 - 1383*k**4\/5 - 1387*k**3\/5 + 4147*k**2\/5 + 6918*k\/5 + 2768\/5 = 0. Calculate k.\nAnswer: -1, 2, 1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20293236 divided by 2196\nAnswer: -9241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let i = 0 - y. Let w = i + 0.4. What is the closest to -1 in w, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 21 = 2*n, 7*h + 39 = -1167*n + 1170*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101702 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760390117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 17*c + 14*c - 30, -2*c - 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 2*y**3 + 3*y**5 - 221631*y**2 + 221631*y**2 + 22*y**5 - 2*y wrt y.\nAnswer: 500*y**3 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023641448 rounded to 7 decimal places?\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, l: 2, s: 1, j: 1}. What is prob of sequence ljs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:33 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*c + 313, 8 = -3*g + g. Suppose 0 = 5*a + 19 + 81. Let z = a + c. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 13. Let u be h(7). Find the second derivative of 0*g + u*g**5 + g - 2*g**5 wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 14*a + 15. Suppose 31 = 7*g - 60. Let m be s(g). Find the second derivative of 53 - 16*k**m - 53 + 14*k wrt k.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 - 107. Which is the nearest to -1? (a) v (b) -0.05 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 116872720.\nAnswer: 116872720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541910460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2365335.9 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18338 or -22139?\nAnswer: -22139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2596120865 or 0?\nAnswer: 2\/2596120865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {n: 3, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 560 - -131?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-4)*3\/(-12) - -12. Let g(l) = -l**3 - l**2 + 3*l. Let u be g(-3). Let w(r) = r**2 - 9*r. Let c be w(u). Solve c = 5*b + 1 - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 9. Let d be n(0). Suppose -i = -0*i - 4*h - 5, -4*i + 5*h = -d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + 10*t**2 + 0*t + 0*t**4 + 0*t**3 + 1\/12*t**5. Let k(o) = -5*o - 2*o + 99 - 99. What is s(k(x))?\nAnswer: 245*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (112\/((-2)\/(-1)))\/(26 - 24). Let k be 1 - (-14)\/52 - 14\/g. Factor 8\/13*h - k*h**2 + 2\/13.\nAnswer: -2*(h - 1)*(5*h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5686*j**3 - 4*j**2 - 16*j + 10. Let d be i(7). Suppose -26*o = -31*o + d. What is o rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/25*10\/6. Suppose 0 = f*d - 8 - 16. Suppose -51 = d*y - 327. What are the prime factors of y?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915 = -11*r + 8*r. Let l = r + 952. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.16, 1\/4, -1, 4, 2, -2, 2\/2093?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12) - (209\/22 + -8)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -10, -4, -185, -3.\nAnswer: -185, -10, -4, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -162. Suppose -z = -4*i - i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 2 = 0. Suppose o - 15 = a, 5*o - j*a - 69 = a. Calculate the lowest common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 2*c, -12 = -n - 4*c. Let i(q) = -q**2 - 4. Determine i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (5 - (-74)\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 6686480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -5) + 1\/1 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 0, 795 = 3*t - t - 3*h. Let g = t + -2016\/5. Which is the nearest to 0? (a) -2\/5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 242 + 0*i - i - 103.\nAnswer: -i - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1649, 1637, 1609, 1559, 1481, 1369, 1217, 1019?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -28*i**4 + 1072*i**3 + 1908*i**2 + 488*i - 320 = 0.\nAnswer: -1, 2\/7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -27*n + 141. Factor -19*v + 67*v - n*v + 4*v**2 + 784 + 68*v.\nAnswer: 4*(v + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*r**3*v - 779*r**3 - 41*r**2 - 3*r*v + 707*v wrt v.\nAnswer: -7*r**3 - 3*r + 707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 4}. Give prob of sequence dt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5 - 2*o - 2 + o + 2*o. What is z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -50, -130, -246?\n\"Answer: -18*q**2 + 10*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 2*y + 17. What is the remainder when 250 is divided by w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 74, 89, 110, 137, 170, 209?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 291*v**2 + 253 wrt v?\nAnswer: 582*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.2 + 87.2. Let a = -65 + r. What is the nearest to -0.1 in -2\/17, a, 2\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -14737, -0.4, -2, -5\/233?\nAnswer: -5\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203515 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 214, 1209, 3806, 8773, 16878?\n\"Answer: 128*l**3 + 33*l**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1891*v + 1891*v + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 2.67961?\nAnswer: 83.06791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - (-99)\/((-33)\/3). Solve -p*h - 3*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 5 + 4*f + 2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/4*(-78)\/585.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2) - (-7)\/70*5. Let p be (-8)\/o*305\/(-244). Solve -d = d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.9 (b) 33 (c) 2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 12120012?\nAnswer: 12120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10888 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 29*i**2 + 3. Let n be u(-2). Let c = 239 - n. Suppose a = -2, a - 2*a = 3*y - 238. Calculate the highest common divisor of y and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.115 and 36.\nAnswer: 32.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 17. Let x be k(9). Let z = 13 - x. Solve -u + 0*u + z = 0, -2*u = -3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 4*n - n)*(-2*n**2 + 2*n**2 - n**3) - 1037*n**4 - 1401*n**4 - 1055*n**4 as d*n**4 + s + m*n**2 + k*n**3 + o*n and give d.\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-598)\/((-483)\/(-21)))\/(-4*1)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.07 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -105, -113, -125, -141, -161, -185?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 676 = 3*z, -453 = -2*z + 15*i - 18*i. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-10 - -4 - 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517951078 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -1, 16\/5, 0, 443, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185, -364, -533, -692, -841, -980, -1109?\n\"Answer: 5*z**2 - 194*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-4 + 1 + 6)*(1 - 4 + 0)*(-a**2 + 1 - 1).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.106 - -0.106. What is the third biggest value in 6, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.3, -3, 2, -6\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -468 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -3.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 11*p + 11. Let y be w(10). Let s(o) = o**3 - o**2 - o + 1. Let b be s(y). Solve b*k + 12 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121860, -243727, -365608, -487509, -609436, -731395, -853392?\n\"Answer: -w**3 - w**2 - 121857*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from meeemeee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.202 - -77.202. Let f = -2.1 + 2. Sort -0.4, 2\/5, t, f in descending order.\nAnswer: 2\/5, f, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24279\/76454 + 207\/602. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-30.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 6*w - 19*w)*(0 - 1 + 0)*(-2 - 2 + 2)*(256*w - 267*w + 185*w).\nAnswer: -7656*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -142*n**6 - n**4\/4 + 26*n**3\/3 + n**2\/2 - 27*n - 6375. Find the third derivative of r(x) wrt x.\nAnswer: -51120*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6248 - -6285. Calculate the remainder when 1129 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358812101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 1\/5 (c) -16 (d) 3\/7 (e) -2\/291\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**2\/2 + 1. Let k = 1 + 1. Let o(t) = -2*t + k*t + t. Give b(o(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 25*d**5\/4 - 383945*d**4\/4 + 1473331159*d**3\/4 + 6192552841*d**2\/4 + 2123673604*d + 943964176 = 0?\nAnswer: -8\/5, -1, 7681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = 4*i, 4*i - 40 = -3*s + 8*i. Suppose -2*m = -j + 4*j + s, -3*j = 3*m + 12. Is 0 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-27))\/((-2)\/290*-1). Let c = y - 2761\/57. What is the closest to 3 in c, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-43)*(-3)\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69409.\nAnswer: 31, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 135. Factor -15*b**2 - 4*b + s*b**4 + 15*b**3 + 8*b + b - 39*b**4.\nAnswer: -5*b*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 + 10*b**2 - 2*b - 5. Give d(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + m**3 + 4*m)*(m + 2*m - m) - 3 + 3 - m**4 + (0*m + 2*m - 3*m + (-41 - 4*m + 41)*(5 - 3 - 4) + m - 2*m - m)*(45*m - 2 + 7*m**3 - 45*m).\nAnswer: 36*m**4 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 344 in -36, 1, 2\/11, 0.4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 300037698, 300037703, 300037710, 300037719?\n\"Answer: j**2 + 2*j + 300037695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2*(-2)\/4. Sort -2, 26, -4, o.\nAnswer: -4, -2, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/67 + 31321\/46833. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 18. Suppose -3*b + 7*b = 4*g + 40, 4*b - 40 = -2*g. Let m be o(b). Let j(f) = -3*f + 3*f + 12 + 2*f. Calculate j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.15118 and -0.3808.\nAnswer: -2.53198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c, 5*h = 3*c + 45. Let k(u) = -u**3 + 2*u**2 - 2*u - 2. Let z be k(2). Let p = h + z. Sort p, 2, -3 in increasing order.\nAnswer: -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167812859*b**2 - 341363934.\nAnswer: -335625718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 2:10 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - r = 25 + 7, -57 = -5*h - 3*r. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*h + 92, 3*o - o + 5*h - 60 = 0. Let s = -14 + o. Suppose 0 = 2*z + 4*t - 36, -z = -s*z + 2*t + 66. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67210 divided by 11.\nAnswer: 6110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461120 divided by -4.\nAnswer: 115280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3647, -4 in decreasing order.\nAnswer: 3647, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:56 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*c + 77*c = 24708 - 450 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2625?\nAnswer: 262a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 187 + 37. Suppose q + 4*q = -x. Let j(v) = -v - 5. Give j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 - 1.3. Let z = t + -1.8. Let f = 2.83 - 2.93. Which is the smallest value? (a) z (b) 42\/11 (c) f (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133412 * 1.5\nAnswer: -200118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o - 2. Suppose o*q = -q. Solve -4*h = -q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 335970573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2886191 + 11970*q - 5157065 - 2*q**2 - 4893171 - 3*q**2.\nAnswer: -5*(q - 1197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-11)\/(-5) + (2 - -1). Let w be 1 + -1 - (-1)\/(-5). Let x = 1.9 - 2. What is the nearest to x in g, -0.05, w?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1433*c. Let a(z) = 28*z - z**2 - 97*z + 32*z + 37*z. Calculate a(g(j)).\nAnswer: -2053489*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(76)*1)\/sqrt(4) - sqrt(19)) + -5 + (sqrt(19) - ((-2*sqrt(190))\/sqrt(10))**2) + sqrt(19) + -3 + -3 + sqrt(19)*-3 + (sqrt(19)*3)**2*2.\nAnswer: -sqrt(19) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, r: 6, d: 1}. What is prob of picking 1 r, 1 d, and 1 a?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 383921801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 332 = -23*z - 32. Solve -c = 5*a - z, -2 + 14 = -a - 5*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*u + u + 3, 5*n + 4*u = 30. Let o = 20 - n. Suppose b + o = 4*b. Calculate the lowest common multiple of b and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 16*z + 668. Give u(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -66.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1327 and -21.78.\nAnswer: -28902.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 5. Let y be n(6). Let m = 0 - y. Let o(w) = -w - 1. Let r be o(m). What is the closest to r in 5, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43072208 divided by -3\nAnswer: -43072208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-4)\/(-2)))\/((-130)\/52)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2. Suppose -5*m + 5 = -5. Suppose 0 = 4*q - 6*q + m. Let o(l) = l. Let n(r) = r. Let x(w) = q*n(w) - 2*o(w). Give x(j(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, e: 5, q: 3}. Give prob of picking 1 q and 3 o.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)*(-14)\/7. Suppose 5*b + 4*y - 15 = 0, 2*b - r = -y + 2. Suppose 43 = b*o - 11. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1463\/(-532) + (-15)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -49*s - 4534. Is l(-96) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347123487 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 7:41 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58125 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/17 - 1876*y**2\/17 + 519992*y\/17 - 2096688 = 0. What is y?\nAnswer: 102, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.9715 - 103. Round l to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -11*g**4\/12 - g**2 - 60. Let y(u) be the first derivative of u**2 + 1. Give y(d(o)).\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24880 - 25880 = -6557*s + 1696 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/4800 and -77\/80?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124135150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115533, -115257, -114983, -114711?\nAnswer: -114441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*f = -3*h - 741*f + 14, 0 = 3*f + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2672 and 1\/304.\nAnswer: 50768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -784, -3126, -7064, -12598?\nAnswer: -19728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -245.\nAnswer: -13\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -5385503?\nAnswer: 12\/5385503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -67, -67, -65, -61, -55?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, i: 2, f: 9}. What is prob of sequence ffi?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t - 6. Let d(q) = -20*q + 14. Let w(h) = -40*h + 29. Let o(z) = 5*d(z) - 3*w(z). Determine -17*m(p) + 6*o(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-4\/37)\/(f\/f**(-5)*f\/(((f\/(f**(-2)*f))\/f)\/f)))\/(((f*f**(-5))\/(f*f**(1\/2)))\/(f**0)**3) assuming f is positive.\nAnswer: f**(-103\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 10*x - 369. Let f = -17 + x. Calculate the smallest common multiple of 6 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-4)\/(-168))\/((6\/(-6))\/(-56)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -26\/7 (c) 82 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*u - 1142 - 438 = 0, 4*n + 2*u = 1282. Suppose 3*p - 344 = -z, 0 = -3*p + 3*z + z + n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5 - 0. Calculate the remainder when n + (-32)\/12*-18 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/98 and -101\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 3*y + 17)*(1 + 0 + 1) + (7 - 8 + 2 - 2*y)*(-1 - 1 + 1).\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c + 12. Suppose 2*f - c = 5*f. Is f*-2*1052\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413 + -4?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, d: 2, f: 5}. What is prob of picking 2 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 31, 5 in increasing order.\nAnswer: -136, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 2 - 1 + 0. Is w(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 1 + 5818 + (91 - 89)?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(252) + sqrt(7) + sqrt(7))*-3 + 5 + (sqrt(42)\/(sqrt(6)*1))**2 + (sqrt(7) + sqrt(7)*-2 + 2)**2 + -3).\nAnswer: -80 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 6697.\nAnswer: 6696.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**2 - 1\/50*g**5 + 0 + 3*g + 1\/15*g**3 + 0*g**4. Factor k(p).\nAnswer: -2*p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 1, y: 14, v: 1, e: 2, d: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Let y be (12\/10)\/(x\/10). Solve 0 = 2*s + y - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 354*a + 12405. Determine l(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k - k**2 + 16*k**5 - k**2 + 9*k**2 + 2*k wrt k.\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-1 - -4)*260\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**3 - 2*w + 1. Determine t(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 14 + 700*x**2 + 4*x - 3098*x**2 - 9*x - 3*x. Let f be m(-3). What is f rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 1. Suppose 3*g - 30 = 5*j - 0*j, -2*g + 1 = 3*j. Calculate u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81269 and 898.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y + 20. Let a(m) = 8*m - 10. Let p(w) = 7*a(w) + 3*x(w). Let k = -61 + 68. What is the remainder when p(k) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6664, -6666, -6668, -6670, -6672?\n\"Answer: -2*o - 6662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 + a - 2. Let s be b(2). Let g be (1 + s)\/(1 + 0). Is 2\/4*(21 - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21652687*0.04.\nAnswer: -866107.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-1 - 6 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(-15)\/10*(12 - 11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 63 = -12. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299 or -202?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*w**3 - 8*w**2 + 8*w**2 - 161*w**3.\nAnswer: -660*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01346 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.46 (b) 50 (c) -1470\/13 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23699, 24076, 24453, 24830, 25207, 25584?\n\"Answer: 377*t + 23322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43246.\nAnswer: 2, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*c - 31, -5*c - 4*g - 3 = 40. Let q = c - -10. Let b = 6 - q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 6618931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*y = 1300, 5*m + 3*y + 254 - 1586 = 0. Calculate the highest common divisor of 5632 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -15. Let m = t + -6. Let j = m + -2.4. Which is the closest to 2? (a) -4 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.25438 to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228558325?\nAnswer: 3, 5, 7, 59, 71947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f - 3*j = -9, 4*j = 2*f + 24. Let v(c) be the first derivative of -c**2 + 2*c - 1. Calculate v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 0*t**2 + 3*t**2 + (1 + 2*t**2 - 1)*(4 - 1 - 5) + 2*t**2 - 3 + 3 + (0 - 1 + 0)*(2*t**2 + 6*t**2 - 2*t**2).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*n + 35, 3 = -n + 2. Let q = a + 10. Factor -u**3 - q*u**5 - 5*u**2 - u**4 + 2*u**2 + 4*u**2 + 5*u**5.\nAnswer: u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let l(u) = u**2 - 27*u + 8. Let a(h) = l(h) - 3*o(h). Let q be a(24). Solve r + i - 10 = -2*r, -5*i = 4*r + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -1. Put x, 0, -13 in ascending order.\nAnswer: -13, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*v + 1302*v + 529 - 643*v - 536.\nAnswer: -14*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28 = -4*z, -4*k - z - 7 = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*2*17. Let n be (-224)\/(-14) + (-6 + 3)\/(-3) + -3. Let p = f - n. Sort 0, -2, 5, p in descending order.\nAnswer: 5, p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147286.149 rounded to the nearest one hundred?\nAnswer: -2147300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/56 and -107\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.001675416 + 0.00168. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-30)\/14)*32\/64. What is the second smallest value in 0, m, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17447474 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 16, 1\/13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 96. Solve 6*v - 2*a = 2*v + 2, -w = 5*v - 5*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -503489*z**2 + 3*z + 10267 wrt z.\nAnswer: -1006978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by -6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*i + 10, -137*j - 2*i = -134*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 24. Let d = x - 2. What is the closest to 1 in d, -5, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.284 - -94686311.\nAnswer: 94686310.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5140, 10511, 15882, 21253, 26624?\nAnswer: 31995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 11908.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -0.5 (c) 3 (d) 0.6 (e) -7592.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z. Suppose -2*w + 26 = -12. Suppose 2*s - c - w + z = 0, 5*c - 70 = -5*s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-12)\/(-12)*(-6 + 14 - 7)\/3\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and 4910 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 11*t + 7. Let p be k(-11). Let q(f) = 5*f - 1. What is the remainder when q(p) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1459?\nAnswer: 2\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((2\/10)\/1))\/((-30)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1508, 1043, 572, 95, -388, -877?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23484 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 73*v**2 - 192*v - 135. What is the remainder when c(70) is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 163*d**2 - 30*d - 9. Let o(n) = 164*n**2 - 24*n - 9. Give 4*i(l) - 5*o(l).\nAnswer: -168*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 3. Let k(o) = -14*o - 22. Let b be (3 - -19)*-2*1. Let z(w) = b*t(w) - 6*k(w). Let n(h) = h**2. Calculate n(z(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 4. Let z be p(4). Let t(f) = z - 3 - 7 - 1. Let k(o) = o - 7. Let j = 7 + -9. Determine j*k(q) - 18*t(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 8698404984*a + 8698404984*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**4 - 29*b**3 + 358 wrt b?\nAnswer: -16*b**3 - 87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -132dd - 291a?\nAnswer: -15c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - u**3 + 1 + (4*u**2 - 4*u**2 + u**2)*(2*u - 2*u - 2*u) - u**3 + 5*u**3 - 2*u**3 - 167 + 0*u**3 + 11*u**3 + 171.\nAnswer: 10*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 - (-2 - -1)). Suppose p = -2*t + 3 + 15. What is the greatest common divisor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/6*j**3 + 0 + 1\/4*j**4 - j**2 + 1\/20*j**5 - 2*j. Let h be t(-3). What is the third biggest value in -2, 5, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + (3 - (-655)\/35). Let f = 180733\/16 - 11292. What is the common denominator of f and ((-1)\/q)\/(6 - (-1604)\/(-268))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 - 3. Suppose 3*f + 36 = -5*j, -5*j - 38 = -0*j + 4*f. What is s(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1101*y + 969 + 548 - 1526)*(y + 2 - 2).\nAnswer: -1101*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/4 + (-60)\/(-3). Solve -i - f = -6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 29. Let l(k) = -38*k - 85 + 98*k - 51*k. Let r(w) = 6*l(w) - 17*m(w). Let z(d) = -d + 2. Let i(f) = r(f) + 5*z(f). Give i(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/230 and -103\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 e when three letters picked without replacement from ebwewwwewuwewuwww?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8608 divided by -7793\nAnswer: 8608\/7793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/140 - (-269)\/2. Solve a*v = 131*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 7. What is i(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2079665604 to the nearest integer?\nAnswer: 45603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 7) in base 2?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -114, -222, -318, -396, -450?\n\"Answer: i**3 - 115*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -348889?\nAnswer: 2791112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 65.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 + 4*v + 3. Let i be w(-3). Suppose i = u + 2*u - 6. Suppose 7*l - 15 = u*l. Solve 21 = 3*b - 0*m - l*m, 3*m = -9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 8. Suppose f = 5*f + 8. Let m = f + k. Solve m*v + 5 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 360364718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/552 and -7\/3000856.\nAnswer: 9002568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/(-28) + 4)\/((-4)\/(-322)). Which is the closest to -1\/2? (a) 2 (b) 1\/4 (c) 0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*(-1 - 1). Let a be 49\/63 - v\/(-9). Suppose 0*f + 3*f = 27. Calculate the greatest common divisor of f and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*n + 862*n - 417 = 491 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56155 is divided by 91?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1403644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/60 - 5*h**4\/8 - 5*h**3\/2 - 3*h**2. Let d be o(-6). Let v = -4 + d. Is v 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) -213048 (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64781 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 8?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z - 0*z. Let i be (z\/4)\/((-1)\/(-2)). Suppose 37 = -i*q + 92. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-35) - (-2 + 18\/12).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - j + 15576*j**2 + 0 - 2 + 2.\nAnswer: 15576*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -56*v**3\/5 - 114*v**2\/5 + 164*v\/5 + 6\/5 = 0?\nAnswer: -3, -1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 236. Let c be 1*-42*8\/12. Let j = c + 52. Calculate the highest common factor of j and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -26. Suppose -z + c*a + 121 = 2*a, -5*a = 4*z - 549. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714*y - 169*y - 57*y**3 + 2*y**2 - 184*y - 178*y - 183*y.\nAnswer: -57*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34863 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 13*z + 2. List the prime factors of b(-16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 10) + 1*-1. Let u be ((-22)\/q)\/((-5)\/20). Let y = u + 6. Let x(m) = m**3 + 4*m**2 - 6*m + 5. What is x(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + s - 120 = 0, -3*w + 0*w + 2*s + 72 = 0. Let z be (-3634)\/w - (-2)\/4. Let l = 151 + z. What is the third biggest value in l, 3, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 28*d**2 + 32*d + 24. What is the units digit of y(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 352*c - 4682. Calculate d(-13).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.384 - -0.482. Let o = x + 0.134. Which is the fourth smallest value? (a) -3 (b) -61 (c) -0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 312818.3 milligrams?\nAnswer: 312818300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*o**4 - 332817*o**3 + 63714334 wrt o.\nAnswer: -372*o**3 - 998451*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 6}. Give prob of picking 3 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447 or 530?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 2*q**3 - 2*q**3 + (-2*q**2 + 3*q - 3*q)*(-38*q + 398 - 398).\nAnswer: 75*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*x + 4 - 2*x**4 - 2 + 3*x**3 - 2 in the form w*x**2 + p*x**3 + t + z*x + o*x**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from qqxazzag.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (7 - -27 - 83)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65566269 divided by 141.\nAnswer: 465009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - ((-20 - -10) + 24). Sort 1, 8, p, 61.\nAnswer: p, 1, 8, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 350356*k - 700721. Determine y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2304241 divided by 1763?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12093842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 63*r + 422. What is p(31)?\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z)\/(z*z\/(z\/(z**(3\/4)\/z)*z)))**(-3) assuming z is positive.\nAnswer: z**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1819 - -3122. List the prime factors of v.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-2\/73)*x\/(x\/((x\/(x**(-16\/5)\/x))\/x*x)) assuming x is positive.\nAnswer: x**(2273\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 24 = 5*v, 4*x + 36 = 3*v - 12. Calculate the common denominator of x\/18 + (-622)\/(-24) and (-4)\/14 + 191\/(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + -4*sqrt(80) - (-5 + 0 + sqrt(80) - (-1 + sqrt(80))*5))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Let b be g\/(-63) + (-4)\/(-14). What is the third smallest value in 3, -0.4, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + i - 7. Let f be m(-3). Let p be (-8)\/(-24) - (1 - f\/(-6)). Calculate the remainder when 45 is divided by 25 + 7 + -4 - p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*k = 160*k - 304*k + 96 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34814, 69629, 104444, 139259, 174074?\nAnswer: 208889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (0 + (-2 - 11)). Solve 567 = p*i + 582 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 65 + 42)*(22*p - 6*p + 12*p).\nAnswer: 392*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448043095 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppguqppppyuypmp. Give prob of sequence gyp.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 2*t**2 + 0*t**2 + t**2 - 4*t**2 + 2*t**2 + (-t + 0*t + 2*t)*(69*t - 26*t - 208*t).\nAnswer: -164*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**4 + 48 - 88*a + 22\/3*a**3 + 97\/3*a**2.\nAnswer: (a - 1)**2*(a + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 12*t - 21. Calculate m(15).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*p**2 + 5*l**2*p + 37*l**2 - 57*l*p**2 + 3*p**2 wrt l.\nAnswer: -2*p**2 + 10*p + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - n. Let d(x) = 427*x**3 + 6*x. Determine d(i) + 6*y(i).\nAnswer: 439*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424662?\nAnswer: 2, 3, 7, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/180 + v**5\/90 - v**4\/36 - v**3\/9 + 7*v**2. Determine n so that x(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4 + 35*m**2 + 6*m**4 - 11*m**2 - 11*m**4 - 6*m**3 = 0 for m.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753 + 496. Calculate the common denominator of (l\/15 - 20\/100) + 2 and (-649)\/(-440) + 4\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45499982 a multiple of 1529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -1787\/15. Let u = -9.2 - 2.8. Let z = u - -9. Which is the closest to r? (a) 3 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120100 (base 4) in base 15?\nAnswer: -6d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 11 + 109. Suppose 4*j + k + 18 = -4*m, 0 = -j + 3*m. Let n be -1*(-1 - 1*j). Is -9 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3087, 2834, 2581, 2328?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 479 - 745 = 17*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291484599?\nAnswer: 2291484599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(-2*(-11)\/(-528)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*k - 51 = 0, 4*t - 4*k - 44 = -0. Let n be ((-45)\/(-10))\/t*6. Suppose u + 4*o = -n*u + 112, 0 = -3*u - 5*o + 80. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let w(b) = 0*b**2 + b - 2 + b**2 + 11. Give w(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/12 + w**3\/6 - 2*w - 2. Let i(f) be the first derivative of s(f). What is the second derivative of i(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, b: 1, r: 1, j: 2}. What is prob of sequence dbj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-28)\/126*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 + 0 = -2*s, -4*s = -5*i + 10. Suppose 4*z + r - 9 - 35 = s, -3*z + r + 33 = 0. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g = -35*g - q + 12, -q + 9 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 413 + 204. List the prime factors of y.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) + (sqrt(252) - sqrt(252)*1)**2) + sqrt(252) + -3.\nAnswer: -24*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -815, -1623, -2431, -3239, -4047?\n\"Answer: -808*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*b + 4*h, 3*b - 2*h - 22 = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4763 = -295*x - 2562 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:31 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 - 5 = 0. Suppose d*l - 4 + 24 = 0. What is the units digit of (l\/2)\/(4\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 2604144*t - 565130497728.\nAnswer: -3*(t + 434024)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjyqqrywjwqqqjjhjjqq. What is prob of sequence qj?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11 - 8 + 29*n**2 - 5*n - 12. Suppose -5 = l - 2. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314924814.\nAnswer: 2, 3, 383, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - (8 - -7) - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(1 - 1 - (-19)\/(-38)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, m: 2, k: 3, q: 2, j: 2}. Give prob of picking 1 r and 2 k.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 8. Let z(c) = 1. Let w(b) = -x(b) + 6*z(b). Let f be w(-14). Solve -j + f*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6643153 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2219*n - 2321. Give d(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24*u + 198. Let t be y(8). Let v(j) = j**3 + 6*j**2 - 2*j - 15. Let o(q) = q**3 + 6*q**2 - 3*q - 17. Let a(w) = t*v(w) - 5*o(w). Give a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*d - 45*d - 70*d - 28*d - 35*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**2 - 86*y**2 - 101*y**2 + 183*y**2.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0\/w**(-19)*w\/(w\/(w*(w**(-7\/3)\/w)\/w))*w*w**(-2) assuming w is positive.\nAnswer: w**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 5\/12*g**4 + 8*g + 5\/2*g**2 - 1\/20*g**5 - 2\/3*g**3 + 0. Let y be u(3). Calculate the greatest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 + 2 + -4 + 3 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221 - -193) + 1 + 53?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20913926 or 1?\nAnswer: -20913926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -12. Suppose j - l - l - b = 0, 3*j + l = 10. Solve -y - 3*m = -j*y + 9, -3*y + 6 = -2*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 231. Sort -147, -3, y.\nAnswer: -147, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q - 1. Let o(x) = 8*x**3 + 3*x + 1. Give -3*j(a) - o(a).\nAnswer: -5*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 107.71?\nAnswer: -140.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 821439.74 rounded to the nearest one thousand?\nAnswer: 821000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 7*p - 5. Let a be m(-2). Let w = -0.8 + 0.7. What is the biggest value in -2\/3, w, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210960 and 2225628?\nAnswer: 44512560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20349585*j + 51468900 wrt j.\nAnswer: -20349585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7.4, -2\/3, 2, 9\/2, -0.2008?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084, -1086, -1094, -1114, -1152?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 329 - 324. Let b(p) = 168*p. Let m be b(1). Suppose 0 = i*v - 142 - m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z*z)**(-17\/5)*z**1*z**5 assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1899170 - 1279170. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63996647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 8?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + sqrt(13)*-1 + 1 - (sqrt(13) + sqrt(39)\/sqrt(3) + -1 + sqrt(13) + sqrt(13)))**2.\nAnswer: -424 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3585 or -3517?\nAnswer: -3517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**2 - 245494*t + 3437308 = 0?\nAnswer: -122761, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 116*p - 1 + 4 to h*p + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 11*n**2 + 3*n + 19. Let t be s(6). Sort t, 4, -259 in increasing order.\nAnswer: -259, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/42 + v**6\/12 - v**5\/12 - 5*v**4\/12 + 36*v**2. Let o(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 - 766181601*n + 191545401.\nAnswer: -3*(n + 63848467)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 1, t: 4, s: 3, e: 1, k: 1}. What is prob of sequence kp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from kkkbkkkkkkkkkkbkkkkk?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -544, -1208, -2128, -3298?\n\"Answer: r**3 - 137*r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let u(a) be the first derivative of -1479*a**2\/2 + 5877. What is r(u(b))?\nAnswer: -6562323*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -56. Which is the smallest value? (a) 13 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1360 divided by -4194\nAnswer: -680\/2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2576900 and 25\/803?\nAnswer: 28345900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-445)\/(2\/12 + 40 + -41). Solve 536*y = c*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/5)\/(141\/470)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3 - 5*q**2 + 32*q**3 - 2 - 25*q**3 - 5*q. Let s(m) = 7*m**3 - 6*m**2 - 6*m - 6. What is 5*s(u) - 6*z(u)?\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7263.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15259\/5 - 3035. Is r less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 30*j + 54*j - 138*j = -4*a + 60, j + 15 = 6*a for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 - y. Let a(n) = -2*n**3 - 7*n**2 - 3*n - 8. Let s(j) = -a(j) + o(j). Let x be s(-6). What is the tens digit of (x - -2)\/(-2) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f5 (base 16) to base 3.\nAnswer: 2002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-558)\/248*(-8)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6952796 from -442.\nAnswer: -6953238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-45)*(l**(1\/3))**(-2\/9) assuming l is positive.\nAnswer: l**(3643\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 1 - 6. Let x = 4.82 + 0.18. Which is the second biggest value? (a) x (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010000?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1682, 3281, 4880, 6479, 8078, 9677?\n\"Answer: 1599*r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/2))**(-1))**(-15\/2) assuming k is positive.\nAnswer: k**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*o + 9, 279*o - 281*o - 9 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (-49 - (-44 + 19))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -14 + (2 - 0) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 + 2258. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 704026 divided by 5\nAnswer: 704026\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 800\/(-88) + (-2)\/(-5) + (-35241)\/(-935)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8646764 is divided by 665135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*n**5 + 278*n?\nAnswer: 540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25 - (6 - -10) - 9. Solve i*o = -3*o - 4*q + 4, 4*o = -4*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-27) - ((-4)\/(-6) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*d**5 + 309407*d**3 + 223972338*d**2.\nAnswer: -14820*d**2 + 1856442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472757, 472745, 472725, 472697, 472661, 472617?\nAnswer: 472565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9119.2 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 2, -49179, -2.4, -4.\nAnswer: -49179, -4, -2.4, 0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/13))**(-35) assuming l is positive.\nAnswer: l**(-35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46410 and 92820?\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.2 (c) -6 (d) -4\/7 (e) -3 (f) 46999 (g) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 1269?\nAnswer: 16497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1110, 1534, 1950, 2352, 2734, 3090?\n\"Answer: -k**3 + 2*k**2 + 425*k + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -815 + d?\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/430)\/(8\/16)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let g(y) = y**3 - 3*y**2 + y - 3. Let c be g(z). What is the second derivative of 4*p**5 - 6*p + 2*p + c*p wrt p?\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2499 divided by -2?\nAnswer: -2499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713\/2692 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-11 - 3) + (2 - -5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2 - (-20 - -4 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, -599\/6, 30, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004756327 rounded to 5 dps?\nAnswer: 0.00476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + -5*(sqrt(19) + sqrt(76)\/sqrt(4)) + sqrt(152)\/sqrt(72).\nAnswer: -26*sqrt(19)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57851538?\nAnswer: 2, 3, 137, 70379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -2\/43 (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, -20, 1, -2.\nAnswer: -20, -2, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4860589 and -0.1.\nAnswer: 4860588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39542143 or 39542139?\nAnswer: 39542143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2237, 4443, 6635, 8813?\n\"Answer: -7*w**2 + 2227*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/534 and 43\/3?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2024*n - 72 = -2027*n + 6*m, -6*n + m = -m - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b + 14. Is 12 a factor of r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-26)\/t)\/(t\/(t**(-2)*t)) assuming t is positive.\nAnswer: t**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/14 - 12*w**6\/5 + 129*w**5\/10 - 31*w**4 + 81*w**3\/2 - 30*w**2 - 4122*w. Factor r(y).\nAnswer: 3*(y - 20)*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-5)\/(-5) - (-11 + -7 + 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -7386?\nAnswer: 7383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6192, -12309, -18308, -24189, -29952, -35597, -41124?\nAnswer: -46533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 2)*41\/(-30). Let z be 1\/(-4) - 202\/(-40). Let q = z - s. What is the smallest value in -0.3, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(0 + (-2)\/2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 6 = 15*z. Suppose -2*q + 5*k = 9, -3*k + 9 = 4*q - 4*k. Suppose q*t - 6*t - z = 0. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4302376 nanograms to kilograms.\nAnswer: 0.0000000000004302376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/10 + -9\/5. Let f(s) = 2*s**2 - s**3 + 4 - 5 + 0*s**2. Let z be f(2). Which is the nearest to z? (a) 4 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 143. Solve -3*i + y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 3*g**2 - 305*g + 88. Determine i(20).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**4\/30 + 17*s**3\/3 - 616*s**2\/5 + 556*s + 3. Let p(f) = 0. Calculate f.\nAnswer: 8, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose 3*v - r*n + 2*n - 3 = 0, -41 = 4*v + 5*n. Let m be (16\/(-6))\/(v\/6). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44954 divided by -247.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**(-38)\/(m**(-3\/4)\/(m**(1\/3)*m)))\/((m**(-2\/13)\/m)\/(m\/m**(-1\/4)))**(33\/2) assuming m is positive.\nAnswer: m**(-10687\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let k(b) = -2*b - 2. Let w(z) = 2*k(z) + 3*l(z). What is w(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.34 * -366.8\nAnswer: 491.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 7. Suppose -2*j + 13 = -23. Let n be 30\/(-9)*j\/(-12). Let l be b(n). Solve a = -1, l*u = u - 2*a + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(1584)*5 - 2*sqrt(1584)*-3)**2*-6*4*4.\nAnswer: 152064*sqrt(11) + 110399040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1002*g**3 - 2008*g**2 - 1010*g - 4.\nAnswer: -2*(g + 1)**2*(501*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14275.\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.839 + -21237588.5471.\nAnswer: -21237589.3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/5 - -9\/5. Let m = 97 + -97. Factor m - h*p + 1\/5*p**2.\nAnswer: p*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*l - 1 + 17, 0 = -5*x + 4*l + 13. Let j be 0 + (-23)\/(-2) - (-6)\/12. Suppose -2*z = -j*z - 10. Sort z, 11, 2\/13, x in decreasing order.\nAnswer: 11, x, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(8 + 24\/(-3)). Let f(y) = -y**2 + 2*y + 5. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -76, -187, -348, -559, -820, -1131?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - x + 13, -4*x + 947 - 892 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*r + 255, h - 4*h - 253 = 5*r. Let k be (12\/4 - 1) + (77 - 4). Let o = k + r. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + ((-166)\/249)\/((-1)\/(-36))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 70*x - 69*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 4. What is the remainder when 53 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -7*x**6\/40 + 7*x**5\/60 + 131*x**4\/24 - 122*x**2. Find the second derivative of v(c) wrt c.\nAnswer: -126*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + (-42)\/(-5))\/((-2)\/(-10)). Let m(z) = -z - 5. Let q be m(-7). Solve -q*g = 3*l, 4*l + f + 0 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885929, 1771857, 2657785, 3543713, 4429641, 5315569?\nAnswer: 6201497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2 - 28*j + 33. Let r(s) = -2*s**2 - 9*s + 11. Let a(b) = 3*l(b) - 8*r(b). Let c be a(11). Let n = -6 - -8. Solve h - n + c = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 93 = 3*m, 0*m = -2*m + 8. Calculate the remainder when 58 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/12*x**4 + 27*x**2 + 1\/6*x**3 - 1\/12*x**6 + 0*x**5 + 0*x + 0. Determine l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3162\/3041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.5, -21, -0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 9. Let p = 21 - d. Suppose -q - p = -2*o + 6, o - 4*q = -11. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odododdodooooooo. What is prob of picking 2 d?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + u + 2*x = 4, -21 = u - 5*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46847 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6414123460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 10 - 13 + 3*c**2 as o*c**2 + d*c + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(468) - (sqrt(468) + (sqrt(468) - (sqrt(468)*2 + sqrt(468))) - sqrt(468))))\/(sqrt(144)*-3)*-3.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 932473 times -5?\nAnswer: -4662365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2. Let x be s(2). Let u be ((-1)\/3)\/(2\/(-12)). Suppose -x = -u*y + y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 13 + 13 - x**2 + 33.\nAnswer: 11*x**3 - x**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 9*c**2 + 8*c + 5. Suppose -15*l + 119 + 1 = 0. List the prime factors of i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-32) - 35\/(-4). Suppose -4*q - 1 + y = 0. Solve -p + 0*p - q*x = 13, 3*p + 3*x + 24 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 50. Suppose s*g - 27 = -u, -15 = -g - u - u. What is the remainder when g is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1793 - 1774. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1.2, -2, -3\/4 in increasing order.\nAnswer: -2, -3\/2, -3\/4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d. Let w = -2860 - -2862. Let i(z) be the third derivative of 0 + 0*z**3 - 5*z**w - 1\/12*z**4 + 0*z. What is a(i(f))?\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 2. Let h(f) = -5*f - 4. Let y(c) = 7*b(c) + 4*h(c). Let g be y(17). Solve -a - 4*a = -3*x - g, -4*x = a + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/50 + 18\/(-225).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -13870?\nAnswer: -3\/6935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3 - 0.19.\nAnswer: 11.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (455 - 200 + 1262)*(0*d - d - d) in the form v + t*d and give t.\nAnswer: -3034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 4*j**3\/3 + 83*j**2\/2 + 32*j + 222. What is the remainder when 170 is divided by f(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 15*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13231980 rounded to the nearest ten thousand?\nAnswer: -13230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8714728 * 5.\nAnswer: 4.357364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1130689 - -6.075\nAnswer: -1130682.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*q + 614 = 0, 163 + 325 = 4*r + 4*q. Calculate the greatest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = 22*o - 17*k - 61, -5*o + 4*k + 35 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54991576 divided by -6873947\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, c: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 19*m - 5. Let a(d) = 2*d**2 + 29*d + 8. Let j be (-56)\/12 - (-11)\/165*-5. Give j*a(r) - 8*x(r).\nAnswer: -2*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 + -282 + 3\/(24\/55).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose -a*u = -667 - 81. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 36479 = 4*d, -d = -10*o + 7*o - 9146. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:33 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449745*g**3 + 19*g + 449760*g**3 + 5*g**2 - 19*g.\nAnswer: 15*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 20801?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:07 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*x + 3 - 11, -3*h = 3*x + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*z - 105, -3*l - 3*z = -57 - 108. Calculate the least common multiple of (-9)\/(7\/(-4) - -1) and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97\/147 + -16\/49. Determine l so that -1\/9*l**3 + 2\/9 + 0*l**2 + h*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6 = -5*y, 0 = 2*p - p + 4*y - 12. Let f(v) = p*v**2 - v**2 - 2*v**2 + 4*v**2. Let s(x) = -x**2 + x + 1. Let a(w) = f(w) + 4*s(w). Factor a(g).\nAnswer: (g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 20 = n + 2*p, 0 = -5*n + 3*p + 12. Suppose n = -6*g + 3 + 3. What is the second smallest value in -0.4, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-31 + -24 + 24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10220 and 9198.\nAnswer: 91980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1954358 or 0.02?\nAnswer: -1954358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2846 and 17384?\nAnswer: 24737432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 82 = -x, -5*x + 4*x + 72 = 5*a. Let z = 119 - x. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184416780 minus 0.09?\nAnswer: 184416779.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2969 and -112840.\nAnswer: -109871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 3*a**2 - 3*a**2)*(-3 + 2*a + 3)*(2*a**2 - 2*a**2 + 2*a**2 + 0*a**2 - a**2 + 0*a**2 + (2*a**2 + 2*a - 2*a)*(-3 + 4 - 2) + 6*a**2 - 427 + 427).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45241194 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1470)*-2 + sqrt(1470) + sqrt(1470) + sqrt(1470))*6)\/(-1*sqrt(490)*2))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 351 (base 8) to base 13\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**6\/6 - 153*z**4\/4 - 1153*z**3\/3 - 607. Find the third derivative of u(y) wrt y.\nAnswer: -60*y**2 - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 16*i**2 + 63*i + 873. Give m(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/72)\/(-2*(51\/(-24) - -1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -37 - 363. Suppose f = 19 + 11. Calculate the highest common factor of f and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 45913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/10 - 2*z**2\/5 + z\/2 = 0 for z.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 12*z + 38. Let c be m(11). Suppose -32*y + c*y = -20. What is the second derivative of -14*i - 30*i**y + 4 + 24*i - 14*i - 5*i wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-4*(1*sqrt(252))**2 - (sqrt(84)*-2)\/(sqrt(15)\/(-1*sqrt(5)) - sqrt(3))).\nAnswer: -3024 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w + 5105*w**3 + 2*w**4 + 0*w**4 - 5182*w**3 + (0*w**3 - w**4 + 0*w**3)*(2 - 2 - 1) as b*w + o + l*w**4 + d*w**2 + x*w**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/30 - f**5\/60 + f**3\/6 - 2*f**2 + 6*f. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3311\/4266 - -54\/79. Find the common denominator of -67\/156 and w.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(152\/798).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*x - 29, -3*x + x = -5*t - 42. Let g(b) = -b - 6. Let q be g(t). Find j such that -5*j**2 - 4*j - j**2 + 4 + 7*j**q = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(2*w + 1 - 1)*(3 + 14 + 8) to the form k + l*w and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2425 - -2?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 - 8*f**2 - 2*f**2.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:40 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49, -7, -72, -4, 3, -1.\nAnswer: -72, -49, -7, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/266356 and -13\/78340?\nAnswer: 1331780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/371 and -42\/1109767?\nAnswer: 7768369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56450\/14637 - 1\/2091. Let u = -67\/21 - n. Which is the closest to 2? (a) u (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q - 237 = 26*q + 1160 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -213815 take away -11181?\nAnswer: -202634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53666426 + -63?\nAnswer: 53666333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10068686?\nAnswer: 2, 5034343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1987 - y**2 + 1987.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/16)*n**21)\/(n*n*((n\/((n\/n**(-3))\/n*n))\/n)\/n*n*n*(n*n**(-3\/7))\/n) assuming n is positive.\nAnswer: n**(2645\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(1\/2))*y*y)\/((y*y**(-2\/3))\/y*y) assuming y is positive.\nAnswer: y**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeerereyjri. What is prob of picking 1 y and 1 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**0*k)\/k)\/k)*k)**6)**(2\/113) assuming k is positive.\nAnswer: k**(36\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(208)*-1 - sqrt(208)) + -1)*-4.\nAnswer: 4 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -93. Suppose 8 = 4*z - 2*q, -5*z + y + 4 = -3*q. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1773932 + -1042431. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5342000 to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 1\/5, -12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016 >= 39643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*i + 158 = 2526 + 3308 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-6)\/3) + 5\/(-6). What is the second biggest value in 0, l, -31\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737880601 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5160\/3698)\/30*4\/(8\/6).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4488 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 87*2\/6. Let f be 33\/t + (-4)\/(-8). Solve -f*i + 4 = -6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(128) + sqrt(32)))\/(sqrt(9)\/(-1*sqrt(108))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 10. Let h = 0 + 5. Sort -1, f, h in increasing order.\nAnswer: f, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 902288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 28*l + 137. Let q be u(7). Which is the biggest value? (a) -5 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 3)*(-1)\/5*180\/(-24). Let h be (-1 + 2\/2)\/(-1). Suppose n*s + h*s = 180. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 < -78.442672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273723315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 15*n = 14*n - 12, -3*n = 3*t + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 6. Let a be c(7). Let b be (-2)\/(-3)*3*a. Solve -14*s**b + s**3 - 3*s - 7*s**3 + 14*s**4 + 10*s**5 - s = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let g be (31 - (5 + 1))\/((-2)\/(-4)). Let o(j) = -g + 50 + 23*j - 38*j. Determine a(o(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 11 - 19. Suppose -5*d + h*d + 2 = 0. Suppose 0 = -3*x + 3, 0*x = -d*i - 2*x + 184. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5055 + -5060. Let i = -0.1 + -0.1. Which is the nearest to 0.1? (a) 3\/8 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22331386 is divided by 643.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3)*(5 + -28). Calculate the remainder when q + 9\/(-3) + 1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/144)\/(2\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and -7\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1587 and 853?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y + 12. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 680*g + 9013. Let x be a(13). Put 15, x, -1, -3, -35 in descending order.\nAnswer: 15, x, -1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -943 + 1111. Is 42 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 5:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 6. Suppose 2*l + 22 = 3*w, 27 = -5*l + 2*w - 28. Calculate the remainder when b(l) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -2cb?\nAnswer: 2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -2\/11 (c) 259382 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**7\/42 + r**6\/40 + 23*r**4\/6 + 1142*r**3\/3 + r**2 - 474. Differentiate m(j) with respect to j.\nAnswer: -20*j**3 + 9*j**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 2*f**3 - 5*f**3)*(-12*f + 47*f + 2*f + (6*f - 4*f - 3*f)*(0 + 2 - 4)).\nAnswer: -117*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x + 32*x - 6*x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52226320 by -4.\nAnswer: -13056580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, y: 3, w: 3, i: 1, d: 7}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*m - m + 23, 0 = -l - 5*m - 17. Let c = -7771 + 7773. What is the remainder when l is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -18*m - 152 + 445. Factor 0 + 21\/2*a**4 + 12*a + 27*a**3 + m*a**2 + 3\/2*a**5.\nAnswer: 3*a*(a + 1)*(a + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1.8 (b) -0.3 (c) 2 (d) 37\/26 (e) 0 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109780 and 110.\nAnswer: 109780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 269*l**2 - 8*l + 17*l.\nAnswer: 269*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27774 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - d + 4)*(-5 + 5 + 1) + 12*d + 86*d - 16*d)*(5*d - 3*d - 3*d) in the form u*d**2 + r*d + g and give u.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**8\/3360 + m**7\/2520 - m**4\/4 + m. Let q(j) be the third derivative of y(j). What is the third derivative of q(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let q(r) = -9*r - 9. Suppose -274*w - 118 + 384 = -282. What is w*q(p) + 14*h(p)?\nAnswer: -4*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16505407\/270 - -61131. Let m = -1\/270 - c. What is the second biggest value in -1, -4, -2\/13, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304609037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/18 - 11*u**3\/9 - 28*u**2\/3 + 121*u + 1. Suppose k(l) = 0. What is l?\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y**2 + 3*y. Let z(u) = 2*u**2 - 7. What is j(z(l))?\nAnswer: 84*l**4 - 582*l**2 + 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062501 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.5 + -0.5. Let n = a - -1. Let t = n + -9. Is t < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672 (base 10) to base 3.\nAnswer: 220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198*w + 419.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*79\/(-108072)*-9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:08 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 955\nAnswer: -955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1279272 + -24.460507.\nAnswer: -1279296.460507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g + 432 = 100*g. What is the units digit of (178 - 1)\/(g\/504)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114814104 by -8.\nAnswer: -14351763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244498 + -125110. Let i = 119392.99976 - z. Let g = i + -5. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, e: 7, c: 4}. What is prob of picking 1 u and 1 c?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 9*s. Solve -4*a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 49*i - i**2 - 30*i + 12*i - 9*i**2 to the form l*i**2 + c + a*i and give a.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 1. Let z(f) = -60*f**2 - 45. Let s(l) = -20*o(l) + z(l). What is the derivative of s(d) wrt d?\nAnswer: -80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.5547 kilometers in micrometers?\nAnswer: 878554700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m + 9597 + 1743 = -45*m - 146*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -693, -658, -623, -588, -553?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3996)\/1776*4\/3. Which is the fourth smallest value? (a) 4 (b) 1652 (c) u (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*d**3 - 157*d**3 - 1 + 38*d**3 - 102*d**3 to the form k*d**2 + y + u*d + m*d**3 and give m.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 9*t - 8. Let c be h(-10). Suppose -5 = -2*d + 3*b - c, 5*d - b = 14. Let f(z) = 2*z**2. Let x be f(1). Solve x*i - d = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367168300?\nAnswer: 2, 3, 5, 7, 83, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801071 is divided by 436.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27125 and 65100?\nAnswer: 325500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 5*l**3 - 18 - 3*l**2 - 7*l**3 + 15. Let k = 12 - 9. Let c(d) = -4*d**3 - 7*d**2 + 7*d - 7. Give k*c(m) - 7*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3*((-50)\/(-5))\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2691747087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 758442.3 millilitres?\nAnswer: 758.4423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**2 - 2 + 5*m**2 + 3 - 3. Let u(b) = 2*b - 7*b**2 + 9*b**2 - 2*b. Determine u(i(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/63 and -18\/329?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12403801?\nAnswer: 61, 203341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 12) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z**2\/9 - 1034*z\/3 + 3030 = 0. What is z?\nAnswer: 9, 1515\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -5667508.\nAnswer: -28337540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 341*w**2 + 21780*w + 107. Calculate c(-55).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 3. Let o be t(-3). Suppose -165 = 10*n - 12*n + 3. What is the greatest common factor of o and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 + 159. What is the closest to a in 1\/5, -17\/6, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30697598*k**5 + k**4 - 85*k + 1321231?\nAnswer: 613951960*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, j: 3}. Give prob of picking 1 g and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 186\/(-26)) + 58\/130. Factor -r*o + 2\/5 + 1\/5*o**2.\nAnswer: (o - 2)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2664 and 113368?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*2)**2*1.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34165879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*-1*-2. Let g = -2.64 - -2.6. Let z = g + -0.16. Is o at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137726?\nAnswer: 2, 68863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + sqrt(99)))**2*5.\nAnswer: -3750*sqrt(11) + 15500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129440 rounded to the nearest one thousand?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 = 1707\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 160, 317, 460, 583, 680?\n\"Answer: -j**3 - j**2 + 167*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/222*(-4 - -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -3.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 + 3 = 0. Let l = 0 + z. Solve l = -5*f - w, 4*f - w + 2 - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - u + 78 = u + 4*i, 0 = -2*i + 44 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 6*f**2 + 5*f + 5. Let w be j(-5). Suppose -212*h - 625 = -207*h. Let m = h + w. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -526 - -15252\/29. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 - 6\/7*x + 5\/7*x**2.\nAnswer: (x - 2)*(5*x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 18 - 19 - j - 2*j**2 to the form g + k*j + d*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t**4\/3 + 1673*t**3\/3 - 15080*t**2\/3 + 13456*t\/3 = 0 for t.\nAnswer: 0, 1, 116\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 2) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 10 + (2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -525 - -398. Let f = d - -155. What is the greatest common factor of f and 952?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 23. Let r(l) = -5*l - 4. Let g(p) = 5*p + 1. Let v(w) = -4*w - 1. Let x(o) = -3*g(o) - 4*v(o). What is n*r(u) + 18*x(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36702 and -0.0658097452.\nAnswer: -36702.0658097452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 3343 + 53147 = 0. What are the prime factors of v?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 12 = -12*g. Let i be (-3 + 1)*2 - g. Let t(p) = p - 2. What is t(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0345*0.342.\nAnswer: 0.011799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7088461*d**3*t**3 + d**2*t**2 - d**2 - 2*d*t**3 - 28746*t**3 + 5 wrt d.\nAnswer: -42530766*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 93939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1\/5, -2\/5, 153 in ascending order.\nAnswer: -2\/5, 1\/5, 15, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -320, -314, -308, -302, -296?\n\"Answer: 6*n - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.33 and -9907.065865.\nAnswer: -9910.395865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*j + 93 = 0, 5*r - 609 = 2*j - 167. Suppose -r = 9*h - 17*h. Solve -4*z + h*z = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*728\/140.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931070, 931053, 931010, 930929, 930798, 930605?\nAnswer: 930338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56598898?\nAnswer: 2, 1091, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -473*i**3 + i**2 - 1. Let k be (-12)\/14 - (-1)\/(-7). Let f be u(k). Let y = -9449\/20 + f. What is the common denominator of 35\/2 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-10))\/(9\/(-30)). Let p(u) = 3*u**2 - 5*u - 4. Let v be p(4). Let h be (-2)\/(v\/(-10) + 2). Solve -y - 4*y - c = 4*g, -3*g - 6 = -h*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**8\/588 + 23*b**7\/1470 - b**6\/42 - 19*b**5\/84 + 17*b**4\/14 - 18*b**3\/7 + 437*b**2. Suppose x(d) = 0. Calculate d.\nAnswer: -9\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*a**2*x**3 + 86*a**2*x - a**2 - 4*a*x**3 - 2*x wrt x.\nAnswer: -636*a**2*x - 24*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -415, -631, -863, -1117?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by -4 + 16 - 2*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 0, 5*r + 2*z + 4 = z. Suppose -x - 2*x + 777 = r. Suppose -p = 3*s - x + 24, -2*s = 3*p - 145. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -21. What is the highest common divisor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703336281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1) - (4 + -21). Let p(n) = d*n - 2 - 13*n + 2. Let w(q) be the second derivative of q**4\/12 - q. Determine p(w(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 7*c - 49. Let u be p(-7). Let v = -5 - -9. Let g(w) = -1 + 0*w + v*w - 5*w. Give g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -39. Let a = -196 - -201. Is a less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:58 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -65. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 2734, 6124, 10868, 16966, 24418, 33224?\nAnswer: 43384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q**3 + 14*q**2 - 18*q + 33516 with respect to q.\nAnswer: 51*q**2 + 28*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4402223 + 200?\nAnswer: -4402023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.1. Let c = -210 - -209.7. Let y = 7 - 7.4. What is the fourth smallest value in y, -9, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + 42*z**2 - 16*z + 2. Let j be b(10). Is 10 a factor of (270\/(-25))\/(j\/(-1400))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.356113 times -0.2\nAnswer: 0.2712226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 7*i**4\/6 + 7*i**3\/6 - 3*i**2 - 459*i + 2. Let k(n) = n**2 - n + 1. Determine 6*k(p) + l(p).\nAnswer: 20*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*x + 202*x - 656 = -4*p, p + 5*x - 136 = 0. What is the remainder when 3057 is divided by p?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/30)\/(((-67)\/30)\/(-67)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/117 and -41\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*q + q = -2270, 790 = v + 5*q. Let s = v + -451. Let y(b) = 3*b - 314 + s. What is y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b + 204. Let p be o(0). Let a = p + -202. Solve a + 8 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 92 - 19 = -4*v, 5*v = 5*d + 145. Let u = 812 - d. Suppose 6*i - u + 317 = 0. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753895749.\nAnswer: 1753895749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 5*z - 4. Let w(h) = -3 + 5 + 6*h + 138*h**2 + 132*h**2 - 277*h**2 - 6. Determine 6*s(n) - 5*w(n).\nAnswer: -n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4461985 by 4461985.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42739, 85477, 128215, 170953, 213691?\nAnswer: 256429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 56, -7?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1144120260*j**3*r**4 + 3*j**3 + 6*j**2 + 17*j*r + 518*j - 29*r + 1 wrt r?\nAnswer: -13729443120*j**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 8. Let l be j(-8). Let v(r) = 6 - 4 + 1 + 9*r + l + r**2. Suppose 16 + 11 = -3*b. Calculate v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 1. Let w(a) = 4*a**2 + 9*a + 3. Let u(r) = -5*d(r) - w(r). Let k be u(6). Suppose -2*b = -4*g - 98, 5*g - 226 = -k*b + 9. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/35 - 8\/7. Let a(o) be the first derivative of 5 + 0*o - o**2 + 0*o**3 + 0*o**4 - z*o**5. What is the second derivative of a(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose 3*t = -4*i - w*t + 1, 6 = 3*i - 3*t. Let d(h) = 1. Let b(m) = -m + 6. What is i*b(o) - 6*d(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + 0.07. Let d = 11 + -12. Which is the closest to d? (a) 1\/10 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 14*h - 14*h)*(-4 + 4 - 6)*(-4 + 1 + 1).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*40\/15)\/((27\/(1458\/(-72)))\/10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529247353?\nAnswer: 529247353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4\/3 + 98276*u**3 - 4716500*u**2\/3 + 6779644*u - 5305752 = 0. Calculate u.\nAnswer: 1, 6, 9, 73691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 200012*m + 3400206. What is u(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/8 - 3) + 2. Let s = 33\/52 + x. Find the common denominator of s and -14\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442450 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.37 and -0.1589.\nAnswer: -0.376593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 2*l = -6*y + 39, 2*l = -2*y - 72. Let i = 209 + y. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*c + 37 = 0, -4*i + 8 = -4*c + 4. Suppose l = i + 2. Suppose l*y - 148 = 4*y. Solve 3*f + 2*z + 3*z + y = 0, 5*f + 5 = 3*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 597 + -408. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.067 and -2803506.\nAnswer: -2803504.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235734020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 10*a + 11*a + 1109 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/6 and 11\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 1\/120*u**5 - 3*u - 1\/24*u**4 + 0*u**2 + 0 - 1\/3*u**3. Let w(q) be the second derivative of c(q). Give w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -13. What is the third smallest value in z, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.882 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4222 - 435?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40874130 divided by 738.\nAnswer: 55385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(3*u**5 - u**5 - 3*u**5 + (2*u + 0*u + 0*u)*(2*u**4 + 2*u**4 - 2*u**4)).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/(a*a**7))\/(a*(a**(-5)*a*a)\/a*a\/(a*(a\/a**(2\/17))\/a)*a))\/((a\/(a**3*a*a))**(-2\/7))**(-5\/8) assuming a is positive.\nAnswer: a**(-1119\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256)\/5760*420\/812?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14052 (base 9) to base 10\nAnswer: 9524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3217*m**3 + 107*m**2 + 10*m.\nAnswer: -19302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Let y = -6 - -6. Solve -9 = 5*g - 3*x + 2, 2*g - x + t = y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79439741, 158879465, 238319191, 317758919, 397198649, 476638381?\n\"Answer: i**2 + 79439721*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(-4))\/i*i)\/(i*i*i*i**(-1\/5)))\/(i\/(i**(1\/4)*i))**(2\/109))\/((i**0\/i)**(-38)*(i**(-2)*i)\/(i**3*i*i)) assuming i is positive.\nAnswer: i**(-32477\/1090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 37 = -53 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o**3 - 3)*(1 - 2*o - 1) + 3*o - 3*o + o**4 + 112*o**2 + o**4 - 4*o - 112*o**2.\nAnswer: 6*o**4 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 - 3 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2.6 (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/32*2\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14877240 by 597.\nAnswer: 24920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f**0\/f*f)\/f*f)\/f))**30*f*f**(-1\/5)*f**(2\/15) assuming f is positive.\nAnswer: f**(914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 5}. Give prob of sequence eo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/71 and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971 + 16595?\nAnswer: 19566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 7. Let j(u) = 4*u + 22. Calculate 7*i(q) + 2*j(q).\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8420 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 8, -5*c - 5 - 11 = -4*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-1\/14))\/f*f)**(-14)\/((f\/f**27)\/(f**(-16\/7)*f)))**(-30) assuming f is positive.\nAnswer: f**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 602962021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -5 - (-1 + 68)) + (-46 + -6 - -60)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*m - 96 = s, 0 = 3*s + m - 62. Let l(c) = -c**2 + 32*c - 84. What is the smallest common multiple of l(3) and 12\/s + 74\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24313 - 24611. Which is the second biggest value? (a) -0.2 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31995, 31982, 31969?\nAnswer: 31956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1240756ml to litres.\nAnswer: 0.0001240756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/(-12) - -3 - 330\/360)*-3. Let u = -437\/7 + 63. Let -2\/7*f + 2\/7*f**3 - 4\/7*f**d + u = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) - (-1575)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Solve -2*o = -0*o - i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -571293 - 3415*t + 571293 as b + i*t and give i.\nAnswer: -3415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17868, 17867, 17866, 17865, 17864, 17863?\nAnswer: 17862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57199576 divided by 14299894.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -160 + 186 + (84 - (14 + -24))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140.3 - -140. What is the biggest value in 0.4, 11, v, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176) - sqrt(11)) + sqrt(11) + 0 - (sqrt(396) + (sqrt(396) + -1 - sqrt(396)) + sqrt(396) - sqrt(33)\/(sqrt(3)*2)))**2.\nAnswer: -15*sqrt(11) + 2479\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193227, 193230, 193233?\n\"Answer: 3*o + 193224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.308 + -153.692. Let m = 303 + r. Let x = 149.5 - m. What is the second smallest value in -1, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*m + 223*m - 20 = -2*y, 3*y - 24 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**3\/6 + s**2. Let i(l) be the second derivative of -l**3\/6 + 2*l**2 + 3*l. Let v(c) = i(c) + 4*u(c). Calculate v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/3 + 419296*d\/3 - 10988070976\/3.\nAnswer: -4*(d - 52412)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 505.1 - 505. Let j be 3\/3 + (-3)\/2. Let t = 3 + -3.1. What is the biggest value in j, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2759*o**4 - 18295*o**2 wrt o.\nAnswer: -66216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11613*w + 23216. Determine b(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (4 - (2 + -1))) + 61 + -21\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 3*f - 3*f + (0*f + 4*f - 3*f)*(0*f - 6*f + 2*f) - 3 - 2*f**2 + 3.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 60 = -14*l. Let o = 23 - l. What is the smallest common multiple of 10 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37582982921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/989865 and 79\/395946.\nAnswer: 1979730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/3)\/(-2)*(-2)\/12?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 26 = -0*m + 3*i, i = 4*m - 25 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1253311949792 and 0.2.\nAnswer: 1253311949792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o, -u + 3*o + 971 = -o. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -848 at least as big as 423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8826*r + 4*r**2 + 8826*r. Let y(j) = 3*j**2 - 1. Calculate y(z(u)).\nAnswer: 48*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-7 - 0)\/(9\/(-108)) and ((-945)\/(-10))\/((123\/(-24) - -5)*-6).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4455) + sqrt(110)\/sqrt(2)*6)\/(-5*1*sqrt(22)\/sqrt(2)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 2. Suppose 28 = 4*z - 20. Suppose -3*s - z = s. Give a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**2. Suppose -2*a = -4*a + 5*l + 12, -2*a - 6 = 4*l. Let d(c) = 16*c + a - 28*c - 1 + 11*c. Give d(h(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1703508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/24 - 2522*i**2. Let r(j) = -2700*j. Let f(v) = 73*v. Let a(h) = 150*f(h) + 4*r(h). Determine a(w(u)).\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269193.\nAnswer: 1269193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/7, 11, 1 in decreasing order.\nAnswer: 11, 1, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 10310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 32. Let g = 19 + c. What is the remainder when ((-18)\/2)\/(-1 - 0) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450882919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.11 - 0.64. Round i to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Suppose 0 = -n + w + 7, n + 2*w + w + 5 = 0. Let j(t) be the third derivative of 0*t + 0*t**3 + 0 - 1\/8*t**n + t**2. Give d(j(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:08 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - s**2 - 3*s + 2. Let g be d(2). Suppose -4*x - 3*f + 37 + 36 = 0, 4*f + 4 = x. Let u = g - x. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1001575354 and -0.3.\nAnswer: -1001575354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/637)\/((-1)\/154)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73610 by 2165.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*o**2 + 14*d**2*o*x**2 - d**2*x**2 - 2*d*o*x + 134*d*x**2 + 62704*o**2*x**2 wrt o.\nAnswer: -4*d**2 + 125408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2116 and 92.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43351 = -62*o + 137999. List the prime factors of o.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 5) + (-3 + -2 - (-25 + 20))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1212899 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12028 - 12031. Sort 9, -6, o in decreasing order.\nAnswer: 9, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166399213 to the power of 1\/2, to the nearest integer?\nAnswer: 12900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8542, -8540, -8548, -8572, -8618, -8692?\n\"Answer: -p**3 + p**2 + 6*p - 8548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -16, -30, -50?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -3)*8\/3. Suppose r - 3*r + 4 = i, 4*i - c = r. Does 16 divide (-250)\/(-4)*i\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.03759659.\nAnswer: -0.015038636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876318478 is divided by 432?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h + 65. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223 minus 0.038?\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, -6, -1\/5, 60947?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -13. Let m be (-12)\/a*(-30)\/(-20). What is the units digit of (m\/(-2))\/(4\/(-332))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17395 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - 7 - (-53 + 48) - 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.0382 - 122198.09.\nAnswer: -122238.1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37*-14843\nAnswer: 549191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 110181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6 and -458?\nAnswer: -2564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*z**2 - 9 + 15 - 17*z**2)*(1268 - 116*z - 1268) to the form s*z + n*z**2 + t*z**3 + y and give s.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 + 13062*f + 130865. Determine g(-10).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 607\/9. Let z = -0.3 - -0.3. Let s = 58 - 59. What is the closest to 1\/4 in r, z, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 570 = 34*m + 38*m. Solve 261*p + m = 260*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58949237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3470778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/240 + v**4\/16 - v**3\/6 + 9*v**2. Find o, given that d(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 59, 84?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 10\/7 (b) 187 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21, 37, -3, 0.4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 2*h)*(-h**3 + 5*h**3 - 20*h**3) + (-4*h - 3*h + 5*h)*(-3*h + h**3 + 3*h).\nAnswer: -34*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 233*s - 2718. Determine h(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/(-24) - -7) + 4 + 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010111100 + -101011001100110001?\nAnswer: -101001111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4)\/q)\/q)\/q*q**(-2\/17))\/((q\/(q\/q**(-1\/8)))\/q**(1\/2)))**26 assuming q is positive.\nAnswer: q**(-11479\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73414.4955 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4000 = -0*g - 5*g, -4*g - 2*v = -3200. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 52, -1, 6\/7, 13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-75)\/(-6) - 7\/14. Suppose -9*v - z = -15*v. Let p(j) = j + 14. Let m be p(-11). Solve -4*f - f = 4*g - v, m*f - 9 = -5*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2802807, 2802801, 2802791, 2802777, 2802759, 2802737, 2802711?\n\"Answer: -2*i**2 + 2802809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - 31*y + 47*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3353 - 3\nAnswer: -3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -109 times -0.2\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*u - 7429 = 0, 78*d - 2*u - 3701 = 77*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1157 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -80, -173, -344, -617?\n\"Answer: -4*h**3 - 3*h**2 - 2*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2 (b) -1\/13 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2\/5, 7, 1\/3, -202, 35\/2, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17425880.\nAnswer: 2, 5, 435647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 9*d - 9. Let m be l(-7). Suppose 4*c + 50 = m*c. Suppose -3*w = 2*n - c, 3*n - 60 = -n + 4*w. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/6 + 2\/(-6). Let u = -261 - -271. Sort u, v, 1.\nAnswer: 1, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -17*g**2. Let z(t) = 713*t**2. Determine 253*p(i) + 6*z(i).\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a*x**3 + 2*a*x**2 + 27*a + 21582*x**3 wrt a?\nAnswer: -8*x**3 + 2*x**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/(g**(-1)*g*g))**(1\/26))**(1\/90) assuming g is positive.\nAnswer: g**(-1\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520099 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10345 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/5 - 2848*p\/5 + 63388\/5.\nAnswer: 4*(p - 689)*(p - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -52*0.12031\nAnswer: -6.25612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -20*h**3 + 3*h**2 - h + 3. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.94275572 to three decimal places.\nAnswer: 14.943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2*s + 6. Determine r(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**3 - 2*l**2 + 4*l - 6. Determine u(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 33*g**2 - 7*g + 11. Let v(p) = 2*p**2 - 2*p + 1. Give -l(w) + 4*v(w).\nAnswer: -25*w**2 - w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62889419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:34 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q**1\/q)\/q)\/q*q)*q)**(-29)*((q**(-9\/4)*q)\/q)\/((q*q*q**(-19)\/q)\/q) assuming q is positive.\nAnswer: q**(-281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9\/7)*d\/d**(-4\/7)*(d\/d**(-2\/23))\/(d\/d**(-38)) assuming d is positive.\nAnswer: d**(-6058\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/603 and 16\/201.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 2 - 1 - 17*b + 1. Does 16 divide h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3111 (base 4) to base 15\nAnswer: -e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 5*s**2 - 5*s - 2. Let m be v(-4). Let o = 2 - m. Suppose o = -0*u - 2*u. Solve -t + 4*y = -13, -4*t + 2*y + 3*y + 8 = u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.793 - -0.718. Sort -0.4, -4, u.\nAnswer: -4, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 6037726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h*y**2 - 2*h - 3*y**2 + 7*y wrt y.\nAnswer: -34*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, -94.\nAnswer: -94, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9, 12, -8173, -0.5, 0.1, -2?\nAnswer: -8173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -91 + 91 + (-18 - 43)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y**2 - 29*y + 54. Let w(l) = -44*l**2 + 72*l - 136. Let z(s) = -12*n(s) - 5*w(s). Let m be z(6). What is the highest common divisor of m and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003521 - 0.4?\nAnswer: -0.403521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870271.\nAnswer: 37, 185683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4, 2*f + 4*k = -f + 29. Let r(m) = m**3 - 6*m**2 - 6*m + 4. What is the remainder when r(7) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 - 2*k - 1. Let z be i(-3). Suppose -z*m - 24 = -m. Let u be (m\/9)\/(2\/(-6)). Is u at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-5)\/3 - 1. What is the third derivative of -5*q**3 + 3 + 3*q**2 - 7 + i wrt q?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7355*b**2 - 80*b + 2. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - d)*(-53*d + 307*d + 2382*d + 503 - 506 - 105*d) in the form l*d + n*d**2 + f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 7a?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 3*g**2 - g + 2. Let w be v(-2). Suppose -3*n + 390 = -4*y, 0 = -4*y + w*y. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 2. Let i be (0 - 6)\/(-1 - 1). Calculate b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336170 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141503 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1883*-0.1.\nAnswer: -188.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmkkm. Give prob of sequence mm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/10)\/6)\/(3802\/(-285150))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -33, -1\/5, -360\/7, -4?\nAnswer: -360\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1 + 2*v - 1 - 1 - 3*v + v**2. Let p(a) = -6*a**2 + 4*a + 2. Let q(u) = 4*c(u) + p(u). Find the first derivative of q(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 132 - 153. Let v(a) = -a**3 + 4*a**2 + a - 3. Calculate the remainder when v(3) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-18)*(-6)\/(-13). Which is the smallest value? (a) -1\/12 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, f: 9}. What is prob of sequence nnn?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 2. Let d be 0\/1*1\/r*1. Solve 4 = p - d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9879.\nAnswer: 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*n + 1112, 8*u - 280 = 7*u + 3*n. Calculate the remainder when u is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 4*z + 1917. What are the prime factors of z?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4638.4977 rounded to the nearest integer?\nAnswer: -4638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 5*o**4 - 2*o**3 - 20*o**2 + 24*o.\nAnswer: -o*(o - 3)*(o - 2)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5984055 and 0.25.\nAnswer: 1496013.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h + 5*h + 43*h.\nAnswer: 75*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 564181\/9 + -62453. Let z = o + -234. Which is the second smallest value? (a) 0 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*t**2 - 5830*t\/17 + 1356\/17.\nAnswer: -2*(9*t - 2)*(68*t + 339)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, -3, -5, 17 in descending order.\nAnswer: 17, 0.2, 0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36890 and 10677870.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose r = f - 4*f + 78. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 2*z - 56 = 0 for z.\nAnswer: -14\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-7*y + 5*y - 9*y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 394995 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-351))\/(39\/(-18) + 2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/20 - -11\/60. Let s be (28\/(-6))\/(1\/(-3)). Suppose 0 = -s*h + 16*h. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1350 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -564*v**2. Let j(k) = 68*k**2 + k + 1. Determine j(f(h)).\nAnswer: 21630528*h**4 - 564*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 160?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -159 - -4?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)\/(((b**(-1\/4)*b)\/b)\/b)*b**(-2\/25)\/b**(4\/9) assuming b is positive.\nAnswer: b**(2453\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 3. Let z(n) = 2*n - 2. Let v be -2 - (5 + 8\/(-4)). What is v*z(o) - 3*t(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j - 92. Let y be x(-21). Let p(v) = -v - 1. Let t(u) = -9*u + 17. Let z(r) = -6*p(r) - t(r). Let o(g) = -4*g - 3*g - 6 + 11. Give y*o(a) + 6*z(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -365. Let u = g + -85. Solve -u = -m - 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4052, -4051, -4050, -4049, -4048?\n\"Answer: r - 4053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1211280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-164)\/2)*7\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + n**4 - 11*n**2 + 11*n**2 + (4*n - 5*n + 2*n)*(-2 + 2 + 2*n**3) as y*n + i*n**2 + g*n**3 + f*n**4 + v and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3724*p**2 + 12*p - 3713*p**2 + p + p**3 + 32. Let b be d(-10). Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 62*g + 1759. Let l be n(43). What is the highest common divisor of l and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -383 - 15965?\nAnswer: -16238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(10)\/(sqrt(8)\/(sqrt(4)*-5)) + sqrt(10)\/(sqrt(550)\/sqrt(11)))**2 + -5.\nAnswer: -2329\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11677294 to the nearest integer?\nAnswer: 3417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/637084 and 6\/4697?\nAnswer: 7007924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019662 less than -0.033?\nAnswer: -0.013338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 12891 + 67623 = -30880. What is n rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 - 2*k - 4. Let r be w(4). Suppose -r*n + 3*h = -6, 0*h = -2*n - h - 2. Solve 0*d - d**2 - d**3 + n*d = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814 (base 12) to base 2.\nAnswer: 10010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*d + 11 + 30 = 0, -5*h - 48 = -3*d. Let m be 2\/9 - 16\/h. Suppose 0 = 3*q - 3*n - 84, -m*n = 2*q - 11 - 45. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -19 - -39 - 0 - (2 + 0). Calculate the highest common divisor of 315 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 704?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*m = 5, -3*n + 3*m + 9 = -6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 244 or 243?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19141555801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**18*i*i*i**17 assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -99. Let k = -27 + c. Solve -4*m - k = -r + 4*r, -2*m = -5*r - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 58*r**2 - 176*r + 428. What is v(-61)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, h: 14}. Give prob of picking 4 w.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 6130853*m**2 - 3065433*m**2 - 3065442*m**2.\nAnswer: 2*m**3 - 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 - 6*u + 6. Give q(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4 - 2679*g**3 - 21389*g**2 - 56109*g - 48078 = 0.\nAnswer: -2671, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 2*c**2 + 3*c + 3. Let q be o(-2). Let k = -105 + 117. Let y = q + k. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3877.633772 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 4412*x**3 - 7*x**2 + 30878*x + 26472 = 0. Calculate x.\nAnswer: -2, -1, 3, 4412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 9*f + 20. Let u be b(11). Let a be (3 + -3)*u\/4. Suppose -3*o - 3*o + 102 = a. Solve -o = 3*t + 5*k, 3 + 7 = 2*t - 2*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/262 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 58 = -358 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 23, 4, -0.07, -30\/7, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w + 2. Let g be j(-3). Let x be (-3)\/((-189)\/(-18)) - (-88)\/14. Let b be 69\/x + -1 + 1\/2. Calculate the greatest common factor of b and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 294 - 302. Let g(t) = t**3 + 7*t**2 - 9*t - 7. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5355025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7962 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/13 + 3180*v\/13 + 1264050\/13 = 0. What is v?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - -9 - (8 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 23) + 52 + 6 + (1 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:50 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 151*r + 26 + 2 + 2*r**2 - 2 - 84*r to f*r + l*r**2 + w and give f.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00311596023 rounded to 5 decimal places?\nAnswer: 0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -83 (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*h - 30, -h = -m + 19 + 11. Solve -2*d = -4*w - 10, -2*w + 5*d - m = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 9. Let s be m(0). Let u = -73 - -100. What is the highest common factor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/63))\/t)\/(t**(-5)\/t) assuming t is positive.\nAnswer: t**(376\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - v**3 - 7*v**2 + 13*v - 6.\nAnswer: (v - 2)*(v - 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/(-44) - -5) + (-73670)\/(-21406).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*(-7348)\/55. Suppose -k = -2*w + 140. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 95779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230560 + 2469. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5 = -w, -44*d = -43*d - 4*w - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-30) + (5\/10 - 0). Let t = 3.82 + 1.18. What is the third smallest value in t, -10, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 143*s = 144*s + 25, 3*v - 7*s = 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17605.63 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3306, 6607, 9906, 13203, 16498, 19791?\nAnswer: 23082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628196601 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 615439965 a multiple of 4585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4637\/15 or -308?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3899 + 3843. Let n be 1\/((-1)\/45 - 0). Let a = n - z. Calculate the remainder when 30 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -659 - -292. Let n = 605 - b. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q - 1. Let s = 14 + q. Suppose -130 = -3*o - 2*o. Calculate the remainder when o is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51.3 + -51.6. What is the fourth biggest value in -3, x, -7, -2\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1028*h**3 - h**2 - 2*h - 1. What is the tens digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198936 and 49896?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:49 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.97 + -2.27. Let c = y - 11. What is the nearest to 0.1 in -5, c, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 88065.1?\nAnswer: 88067.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.86 - 2.14. Suppose o + 65 = 69. Sort o, i, -0.1 in ascending order.\nAnswer: i, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1099, 2180, 3261, 4342, 5423?\nAnswer: 6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 66402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3779360 and 43160?\nAnswer: 313686880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/35 - 74\/14. Let k = 7 + -3. Let s(h) = h**3 + 6*h**2 + h + 4. Let y be s(-6). Put y, k, l in increasing order.\nAnswer: l, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-25) + 2 - (-3 - -2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -44*d - 26. Let x(p) = 5*p + 3. Let h(i) = 6*a(i) + 52*x(i). Let q(c) be the third derivative of -c**5\/60 + 49*c**2. Calculate h(q(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from mauma.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 736231933 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + -8.1. Let z = -11.4 - r. Let g = z - -0.40044. Round g to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 6*w**2 + 5*w + 3. Let n be c(5). Differentiate 2 - 2 + n*f**4 + 1 with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684935885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/60 + a**4\/8 - 5*a**3\/6 + 3*a**2. Let w be l(-5). Which is greater: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 18 + 23)*(0*s - s + 0*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-5)\/(-5) - 0. Factor 25*k + k**2 - 16 - 5 + o - 11.\nAnswer: (k - 1)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 41, 50, 59?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 103\/4 - (-30)\/(-40). Which is bigger: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -73. Is 11 a factor of 21 - m\/(-1)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133347924 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 399887\/52318 - 2\/3737. Let b(d) = 3*d**2 - 4*d. Let j be b(3). What is the common denominator of x and (-617)\/230 + 6\/j?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 54. Let j = 13 + v. Suppose 2*n + t - 42 = -n, 0 = -4*n - 5*t + j. Calculate the highest common divisor of 52 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.4. Let n = -193 + 95. Let g = 493\/5 + n. What is the second smallest value in g, -2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a**2 + a - 8. Let m be v(-7). Suppose 3*y - 26 = m. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(12\/34)*(-4 - -2). Factor -2\/3 - 7*m**2 + 11\/3*m - 5\/3*m**4 + u*m**3.\nAnswer: -(m - 1)**3*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*5 - ((-2562)\/(-61) + -34)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179004.72838 + -179197.73. Let i = 133 - 326. Let m = y - i. Round m to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117208, -468719, -1054570, -1874761, -2929292?\n\"Answer: -117170*l**2 - l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 + 1. Let t be g(-1). Let w(k) = -k**3 - 5*k**2 - 5*k - 2. Let h be w(t). Solve -4*p = 4*l - 20, 0*p = -h*l - 5*p + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10202020120 (base 3) to base 2\nAnswer: 10010000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m + 81 + 127 = -61*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002135209597 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/5*255\/2703)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 5*g - 6. Let v be -2*(-58)\/4*(1 + 0). Suppose -4*n - 4*z = 12, 2*n - 4*z = z + v. Suppose n = d + 6. Determine t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29916 - -2?\nAnswer: -29914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((2\/48)\/(34\/(1224\/81))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 - 37*i + 86. Determine b(9).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 1582.\nAnswer: -81\/1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*f = 2 + 4, 5*q + f + 39 = 0. Let o(s) = 0 - 3 - s - 5. Give o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -94. Suppose -18*v - i = -15*v. Sort -6, v, 4, 0 in descending order.\nAnswer: 4, 0, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - ((23 - 1) + (-32 - -22))) + -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 30*g - 44. What is f(-26)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001606584 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*f**2 + 1128*f**2 - 3374*f**2 + 1119*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 + 103*q**4 - 942*q**3 + 3456*q**2 - 5616*q + 3321.\nAnswer: -(q - 41)*(q - 3)**3*(2*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4370510 (base 10) to base 12\nAnswer: -1569292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)\/v*v**21*(v*v**(20\/9))\/v*v*v**(-36))**3 assuming v is positive.\nAnswer: v**(-257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 39. Let n(d) = -2*d**3 + 110*d**2 - 100*d - 435. Let u be n(54). Sort w, 2, u.\nAnswer: u, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 7*l. Let z be f(6). Let j = z - -10. Suppose -4*b + 2*b = -j. Solve -n = n - b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 777*d\/4 - 10927\/8.\nAnswer: (d - 1561)*(d + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pszj when four letters picked without replacement from {x: 1, p: 1, s: 1, f: 8, j: 2, z: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxq when three letters picked without replacement from xxqx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0897299 rounded to two dps?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3860 and -53\/61119240.\nAnswer: 61119240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -22*k + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3417, -5, -8, 3, 5 in descending order.\nAnswer: 3417, 5, 3, -2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -435*y + 36571. Calculate c(84).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 - ((220\/77)\/(4\/14) + -13). Suppose 4 = 4*t - 8*t. Let o be (5 - -2) + t + 0. Solve s + o = -3*b, 0*b - 4*s = 5*b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Let f(h) = h**3 + 4*h - 5. Let a = -12 + 29. Let c be (-1)\/(-4) + a\/(-4). What is c*y(w) + f(w)?\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*t + 9 = -7, g - 9 = 2*t. Suppose 2*q = 4*u - 3*q + 16, 5*q - 25 = -g*u. Calculate the highest common divisor of u and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.52 + -11.6. Let a = x + 2.0711. What is a rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 15473?\nAnswer: 15473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 167841277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {e: 5, c: 1, w: 8, n: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1088*j**3 + 1089*j**3 - 2 - 2152*j**3 + 11*j - j**2 - 2*j**4 as p*j**3 + k*j + v*j**2 + b*j**4 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 5*d + 414 - 9*d**2 - 179 - 112.\nAnswer: -9*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 1, k: 1, t: 3}. Give prob of picking 1 k, 1 l, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001100000111 (base 2) in base 14?\nAnswer: 7a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/4534?\nAnswer: -1\/4534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 546, 2319, 4092, 5865?\n\"Answer: 1773*h - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1774 + -1771. Factor 0*g + 0 - 1\/2*g**2 + 1\/2*g**i.\nAnswer: g**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (33 - (-1854)\/(-36)) + 19?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1*3)\/(sqrt(10) + sqrt(1440) + sqrt(1440)*2 + sqrt(10) - sqrt(10) - sqrt(10)))\/(-2*6*(sqrt(2) + 3*sqrt(8))).\nAnswer: -sqrt(11)\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33342919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 1409267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 602.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2 - 1) - 1. Solve z = -3*u - 2*l, l - 4*l = -3*u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q**4 + 1\/360*q**6 - 2 - 2\/3*q**3 + 0*q - 1\/120*q**5 + 0*q**2. Let u(c) be the third derivative of j(c). Calculate u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, b: 7}. What is prob of sequence ppbb?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 5, j: 1, l: 8}. What is prob of sequence bv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -86, -85?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287798631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4076*f = -4106*f. Solve a = -f*a - 3*t + 14, 4*a = 5*t - 29 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 12600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -14. Let h(o) = -5*o + x*o - 5*o + 5*o. Let c(i) = i**2. Give h(c(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2563 + 3307. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - 4. Let n be s(0). Let l = -1 - n. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -609623 < -609624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 - -139. Suppose -5*g = -r - 448. Calculate the remainder when g is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 108*v. Let g(m) = -50*m + 22. Determine r(g(d)).\nAnswer: -5400*d + 2376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 410*b**2 - 92.\nAnswer: -410*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3030216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941429.\nAnswer: 941429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 699 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -191*i - 3284. Calculate the smallest common multiple of 440 and s(-18).\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (123\/(-82)*(-4)\/225)\/(37*-2). Is 0 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*z + 25644 - 65976, -z = -2*n + 26883. List the prime factors of n.\nAnswer: 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 19*v**2 + 20*v + 12. Let u be z(-20). Suppose -17*o + 25 = -u*o. Let -o*b - 45*b**2 - 1174 + 1174 = 0. Calculate b.\nAnswer: -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5281703 and 3397.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/3))\/l**(-6\/5)*(l*l*(l**(-2\/5)*l*l*l)\/l)**3)\/((l\/(l*l*l**(-1))*l)**(-49))**(-30) assuming l is positive.\nAnswer: l**(-4369\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 51 - -40) + -54?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*b + 4*y - y, -4*b - 16 = -2*y. Let p = -37 + b. Let w = p - -71. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 205967831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v - 290 = 0. Suppose -7*a = -3*a + 4. Is 1\/(2 + a)*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 203 and 203 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let g(n) = -3*n**2 + 64399*n - 2. What is g(j(y))?\nAnswer: -12*y**2 - 128798*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 620, 1563, 2882?\nAnswer: 4577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q + 0*q**3 + 0 + 0*q**4 - 1\/45*q**5 - 10*q**2 - 1\/180*q**6. Suppose w(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 = -3*b, -3*a + 5 + 22 = 3*b. Let t = -1 + a. Solve 8*f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 17.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2. Let k(p) = p**2. Let h be 1*(3 - 2) - (11 + -9). Let f(c) = h*a(c) - 3*k(c). Let g(x) = 18*x. Give g(f(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/6 - 458*a**2 - 30566*a - 1549040\/3.\nAnswer: -(a + 34)**2*(a + 2680)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/63*6)\/(6\/21). Solve -l + 2*o + o = -1, -i*o = l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12*-44 - -1174. Suppose x = 18*z + 339. Calculate the remainder when (-551)\/(-4) + 2\/8 is divided by z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1706 and -1739432.\nAnswer: -1741138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -78) + (1 - 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/3))\/f)**(-2\/13)\/(f\/(f\/(f\/(f*f\/(f\/(f*f**16\/f*f))*f)))*f\/(f\/(f*(f\/(f**12\/f))\/f))*f) assuming f is positive.\nAnswer: f**(1061\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.0368, -0.23, 0.1, -42, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 220*w = -221*w - 23, 22*w - 18*w = -60 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151862746.\nAnswer: 2, 7, 107, 101377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:59 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 23645411 = 37*t + 72*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9555 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6031 is divided by 670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315\/(-30)*762\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 44*c**2 + 611*c + 17937. Calculate i(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294938.4 + 292717.329. Let y = r - -2223.461099. Let w = y - 2.39. Round w to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 547565 and 101365.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 18*f**2 + 23*f + 10. Let n be o(9). Is 22 a factor of (1 - (-7 + 5)) + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/107811?\nAnswer: 34\/107811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {j: 5, c: 3, x: 3, n: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 807831920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 802, 1485, 2702, 4513, 6978, 10157, 14110, 18897?\n\"Answer: 10*d**3 + 207*d**2 - 8*d + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(((-10)\/(-6))\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {s: 2, b: 1, e: 2, y: 1, x: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(448) + -1)*3 + sqrt(7) + -1*-1*sqrt(7) + 1 + sqrt(63).\nAnswer: -17 + 149*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*p**2 + 24*p**2 + 8*p**3 + (0*p + 0*p - p)*(-p**2 - 3*p + 3*p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 6. What is the second derivative of -21 - 8*q**l - q - 10*q**2 + 6*q**2 + 22 wrt q?\nAnswer: -48*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 921.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5\/6 + 7373*i**4 - 48942707*i**3\/3 + 78256138*i**2\/3 - 6515079*i\/2 - 19562929\/3 = 0. Calculate i.\nAnswer: -2\/5, 1, 4423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/(-12)) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = 3. Let k be 128\/40*4\/v. Factor 36\/5*h**2 - 4*h**3 + k + 4\/5*h**4 - 28\/5*h.\nAnswer: 4*(h - 2)*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/4981288 and 27\/1976?\nAnswer: 94644472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 181146 = 2*f. Is (f\/(-27))\/7 + 2\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1739 - 1666. Let h = 45 - 26. What is the remainder when b is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*u + 9697 - 3286 = -10008 + 2664 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 and -131\/15366.\nAnswer: 15366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 - 3*w + 7. Let v be p(-6). Suppose -7*c + 2*c = -v. Factor a**4 - 13*a**c + 2*a**4 + 12*a**5 - 4*a**2 + 0*a**4.\nAnswer: -a**2*(a - 2)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.233 times 0.2?\nAnswer: -0.0466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -8)*(2 - 1). Let f(y) = y**2 + 3*y - 6. Let t be f(o). Let r = -7 - -12. Solve r*m = t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-45)\/(-4)))\/((-154)\/231).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {t: 8, e: 3, g: 2, o: 3, s: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:56 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 0.01, 2\/9, -2\/7 in increasing order.\nAnswer: -5, -0.3, -2\/7, 0.01, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (13 + 3 + -9)) + 15 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -187 in 5, -9, 3\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 10*u**3 + u**2 - u**3 + 1628*u + 9*u**3.\nAnswer: -6*u**3 + u**2 + 1628*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.8 + 17. Let x be -3*2*(-4)\/(-12). Which is the biggest value? (a) w (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**10)**(-48)*((f*(f\/((f\/(f*(f**(-2\/5)*f)\/f))\/f))\/f)\/f*f)**(-2\/27)*f**(-1\/5)\/f**(-2\/7) assuming f is positive.\nAnswer: f**(-31\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 g when three letters picked without replacement from {f: 1, c: 5, k: 1, g: 1, a: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -50 (b) 4 (c) 18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 17*r**2 + 69*r**2 - 11*r**2 - 6*r**3 + r**3.\nAnswer: -2*r**3 + 75*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 11*i**2 - 14*i - 7. Let c be f(-12). Let y = 22 - c. Find the second derivative of 5*v**5 + 11*v**y + 69*v - 20*v - 30*v wrt v.\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 166, 165, 164, 163?\n\"Answer: -n + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 - (3 - (9 - -2 - -21)) - (-5 + 1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + a636a6?\nAnswer: a636aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9497396?\nAnswer: 2, 1249, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0 + 4 = c, -5*c - 487 + 463 = 2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 21 = 19*p. Let i = 3 - p. Let g = i - -56. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.18642 plus 105087053?\nAnswer: 105087079.18642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 5. Suppose -4*d = -5*d - 6. Let o = 11 + d. Suppose o*c = -2*b - 10 + 21, 2 = -b. Let s(t) = -2*t + 2. Calculate c*v(z) + 8*s(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 2. Let z be ((-125)\/(-20) + -5)*28. Suppose -39*b = -z*b + 16. Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333.33 rounded to the nearest 10?\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*h = 5*h - 3, w - 3*h + 9 = 0. Suppose -2*m - 12 = -5*q, w = -0*m - 2*m - q. Which is bigger: -5\/6 or m?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o**2 + (0*o**2 + 2*o**2 - 3*o**2)*(-1 + 0 - 1) + 0*o**2 - o**2 - 2*o**2)*(3 - 3 - 2*o**2).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1\/(-4)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Solve 3*x - 5 = w*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27 - 0.03. Let g = 119122 + -119122.299993. Let s = g - t. What is s rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-3 - 0 - 174). Suppose 4*n - u = 18. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.3, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2408081 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-2490)\/(-25)) + 4. Let w = o + 99. What is the smallest value in w, 17, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2265 + -1031.5735. What is g rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -3*o - 8*m, -3*o + 5*m - 50 = 0. Find the common denominator of 106\/o - (-5 + 3) and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*3\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxy when three letters picked without replacement from {g: 2, x: 9, b: 2, y: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8623, 0, -248, 3, 4 in decreasing order.\nAnswer: 4, 3, 0, -2, -248, -8623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let l(f) = -f - 11. Let k be l(-14). What is the smallest common multiple of k + (-2)\/(8\/(-4)) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 85, 156, 265, 424, 645?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 699 - 1819 = -2*l, 0 = 3*s + l - 3769. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28993548 and 3102?\nAnswer: 318929028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 1. Let o be q(1). Let c = 149\/224 - 3\/32. Is c at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by 7.\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0895 - 16.7895. Do -1\/3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23081 less than -0.4?\nAnswer: -0.63081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k**2 + 8\/7*k**4 + 4\/7*k**3 + 0*k.\nAnswer: 4*k**3*(2*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 21 - 381*w**3 + 2*w - 152*w**3.\nAnswer: -533*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylsi when four letters picked without replacement from {b: 2, k: 1, y: 1, l: 9, s: 3, i: 2}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10.1 (b) 0 (c) -0.04 (d) 0.2 (e) -0.4 (f) 0.035\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162222445?\nAnswer: 5, 7, 11, 41, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 13*m - 1 - 31*m)*(2*m - m - 2*m) in the form f*m + t + q*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {b: 1, k: 4, a: 1, r: 1, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027493688.\nAnswer: 2, 3, 13, 73, 197, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.01\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 6*c**2 + 7*c - 5. Let d be i(5). Find the third derivative of h**2 + 0*h**2 + 7*h**d + 6*h**2 wrt h.\nAnswer: 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 + 188.7\nAnswer: 188.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1793855\/38199 + 6\/153\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-13))\/((-6)\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**3\/21 - 509*y**2\/7 + 1020*y\/7 - 114. Factor h(q).\nAnswer: -2*(q - 1)*(q + 510)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znd. What is prob of sequence nd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 0.1. Let f = -1\/19 + 97\/38. Put -2\/11, f, c in decreasing order.\nAnswer: f, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:48 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*q - 1692 = 2861 + 808 + 1555 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87900 is divided by 5143.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4709 = -19327. Suppose -7*h + 117 = -p. What are the prime factors of h?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 99, 0.4 in ascending order.\nAnswer: 0.08, 0.4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -682 - -677.99. Let d = -34.24 - -34.61. Let p = g + d. What is p rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 0*c + 2*c)*(2 + 131 - 30 - 3 + 3 - 1 + (1 - 4 + 1)*(-4 - 2 + 3)) in the form s + m*c and give m.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 38*g**2 + 486*g - 235. Let p(n) = -22*n**2 - 243*n + 117. Let q(i) = 7*p(i) + 4*s(i). Factor q(d).\nAnswer: -(d - 121)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11107931.6 to the nearest 1000.\nAnswer: -11108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 36*y - 30*y + 44 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 - -562. Let r = -214 + h. Let v = 45 + -17. Calculate the highest common factor of v and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.36.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.115545 millennia to years.\nAnswer: 3115.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*s - 484*s = 0. Which is greater: s or -168\/247?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -3*x**4\/4 - 11*x**3\/3 - 11*x**2\/2 - 11*x + 2. Let d(z) = z**3 + 4*z**2 + 4*z + 4. Calculate -11*d(n) - 4*h(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 9*z - 2 - 1 - 2*z**2 - 2*z**2. Let d = 127 + -136. What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from tvtvtrttvrttvvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i - 5. Suppose -2*j + i*j = 0. What is the units digit of 3\/6*(j + 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106897)\/839905)\/(0 + 4\/22).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216781?\nAnswer: 31, 39251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1879986 at least as big as -1879989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 - -178. Let z = 17 + -16.9. Sort -4, v, z.\nAnswer: -4, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -4947, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 20 = -70 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1666*y. Let a be n(0). What is the biggest value in 0.3, -1\/315, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138912228 to the power of 1\/3, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, e: 2, z: 1, r: 3, y: 1, k: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.6454122*0.6\nAnswer: -1.58724732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m - 8. Let i(o) = -3*o + 2. Determine -9*i(c) - 2*v(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*t + j + 18, 0 = 5*t - j - 22. Suppose -x + 10 = t*x. Solve 4*a = 4*d + 4, 18 = -2*d - x*d - 3*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 36?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Let f = 12 + -7. Let s be f + (-6 - 12\/(-4)). Solve -u*m - s = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1159191\/36 - 2\/(-8). Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132.8 or 5787\/4?\nAnswer: 132.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1873*b**5*x - 986*b**3*x**3 - 18*b*x**3 - b*x**2 - 46099*b*x + 2*x**3 wrt b?\nAnswer: 37460*b**3*x - 5916*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(((q*q**(-3\/7))\/q)\/q))**4\/((q**(5\/6)\/q*q)\/((q**(-20)*q)\/q)) assuming q is positive.\nAnswer: q**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 305\/4. Let d = -4.2 + 5.2. Let n be ((-6)\/(-1))\/(2 - 0). Which is the closest to 1? (a) n (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbktttttktttbxmbkmk. What is prob of sequence kxm?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 - -1) - (1 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 6*m + m**2 + 9 - 2*m - m. Let b be n(-5). What is the remainder when 69 is divided by (b - 8)\/(1 + (-36)\/38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from chhrrhcryrryhrc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6988269?\nAnswer: 1\/2329423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 100 = 616. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m - 196. Let s be n(-15). Suppose -s*r = -100 - 96. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 125 = 283. Let t = -65 + a. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 6*s + 2. Is t(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + -2)*4\/(-6). Let v(q) = 5*q + 1. Let o(i) = 4*i + 2. Let p(h) = -4*o(h) + 3*v(h). Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - 4*k**4 + 5*k**4 - k**4 - 2*k**4 + (1 + k**2 - 1)*(-3*k**2 - 2*k**2 + 4*k**2) + 4*k**4 - 2*k**4 + 0*k**4.\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 843421.6um?\nAnswer: 0.0008434216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044176 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4968125 is divided by 2818.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6602*w**2 + 5721*w**2 - 12327*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5793857 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20*t - 2750. Let b(y) = -33*y - 5493. Calculate 6*b(w) - 10*o(w).\nAnswer: 2*w - 5458","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m - 48*m = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 208\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/32*(-88)\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 7308*l - 7306.\nAnswer: -2*(l + 1)*(l + 3653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/9)\/((-6)\/(-135)). Suppose 0 = 3*x - 2*x - m. Suppose b - x = 4. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5454542 is divided by 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/3)\/((-30)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3888 - 1064. What are the prime factors of m?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101001001011011101 (base 2) to base 3.\nAnswer: 11021010010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*b + 139*b + 151*b - 128*b.\nAnswer: -104*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/504 and 1 - 1004*(-14)\/(-7840).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 287*m**2 + 23247*m. Determine b(-81).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1169\/(-5870) - (-4)\/20. Let u = 54015\/12914 - w. What is the common denominator of -9\/11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43060, 43057, 43054, 43051?\n\"Answer: -3*k + 43063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -242 + 18?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69\/(-3)*3*(0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*k - 939 = 8*k + 678 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501293 is divided by 119108.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 30. Let x = t - 11. Let s be (8 - 5)\/6*0. Solve s*h = x*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 7*z = -232, 7*o - 2*o + 2*z + 252 = -0*z for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(56))\/sqrt(2) + sqrt(28) + (sqrt(448) + -2 - sqrt(448))**2 - (4 + (-1 + sqrt(567))**2 + -3).\nAnswer: -565 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 93687 to the nearest one thousand.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:50 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8881213 divided by 4?\nAnswer: 8881213\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*w - 68*w**2 + 218*w + (-2*w**2 + 0*w**2 + 4*w**2)*(1 - 1 + 1) to y*w**2 + a + i*w and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdx when three letters picked without replacement from tdtiiix?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30 and 50726.\nAnswer: 50696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 6*p**2 + 0*p**2 + 10*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6528 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Calculate the remainder when x\/2 - (-17 - 1) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 0, 2*w - 10 = -3*x + 22. Let d be 1*(0 + (2 - 1)). Calculate the remainder when w is divided by 18\/(d - -1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 1:23 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:41 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1132 to 3 dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53441?\nAnswer: 53441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*(2\/(-6))\/((-108)\/(-567)*(-49)\/(-42)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d + 1. Let w = -41 + 39. Let m(b) = -6*b**2 - 2*b + 7. Let p(v) = w*m(v) + 4*r(v). What is the derivative of p(q) wrt q?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*r - 18 - 7 = 0, -4*r + 7 = -3*y. Suppose 0 = i + 5*n - 234, -2*i + y*n + 936 = 2*i. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388046543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 119\/6*z**3 + 0 - 1\/15*z**6 - 28*z**2 + 0*z + 0*z**5 + 3\/8*z**4. Differentiate h(r) with respect to r.\nAnswer: -24*r**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2173, -2181, -2193, -2209, -2229?\nAnswer: -2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -70.8. Let s = b - -69.94. What is s rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7090 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-8))\/(13\/52). Let k be ((-1)\/i)\/(1\/(-15)). Suppose -p = 5*z - 2, -z + p = 2*p - 2. Which is the closest to 0.1? (a) -5 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 0.06, 2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -932 - 1226. Let t = z - -289. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2724558 and 1.\nAnswer: 1.2724558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 110*n - 1988\/9.\nAnswer: 2*(n - 2)*(n + 497)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from eleqeeegglglggellll?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**3 + 7*x**2 - 6*x - 24 wrt x?\nAnswer: -72*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -5764?\nAnswer: -5764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -617, -927, -1237, -1547, -1857?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17888*o**5 - 47*o**4 + 19*o**3 - 32*o**2 + 22436*o - 4.\nAnswer: 1073280*o**2 - 1128*o + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30197*f**3 + 0*f + 4*f**2 + 10063*f**3 + 10067*f**3 + 10 + 0*f + 10065*f**3.\nAnswer: -2*f**3 + 4*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/720 + j**5\/60 + j**4\/6 - 3*j**2. Let b(g) be the second derivative of m(g). Find the first derivative of b(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.9074 (b) 10\/9 (c) -0.5 (d) 2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715922757.\nAnswer: 3, 11, 657413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 7*s**2 - s - 6. Let g be b(7). Let k be 4\/30 - (g - -13). Is k > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -404*y + 108*y - 463 + 231 + 230 to v*y + s and give v.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 12. Let x be l(0). Suppose -3*a = x, 7*o - 3*a - 28 = 3*o. Suppose 141 = 2*b - 0*b + f, 75 = b - o*f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 3:26 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 8*h + 2091. Let g = h + 112. Let n be (-4)\/((-12)\/(-9)) - (-38 - g). What is the highest common divisor of 84 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 3. Let s(j) = 4. Let d(y) = -y. Let a(b) = -d(b) + s(b). Let t(k) = -3*a(k) + 2*q(k). Let x be t(-7). Do -1\/9 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3053 (base 12) in base 3?\nAnswer: -21012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952\/(-153)*(-234)\/52.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 15*q**2 - 19*q - 39. What is h(15)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/94841574 and -25\/42.\nAnswer: 663891018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 357. Let t(k) = -31*k + 2131. Let b(w) = -13*q(w) - 2*t(w). Let h(j) = -2*j**2. Determine b(h(f)).\nAnswer: 6*f**2 + 379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9620 and 9035.\nAnswer: 1337180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -17, -76, -193, -386?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093191246, -1093191245, -1093191244, -1093191243, -1093191242, -1093191241?\nAnswer: -1093191240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 199 - 47 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 4*j = -11*j - 19*y + 34, 4 = 4*y for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4143 and -81\/236.\nAnswer: 977748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/11, -1\/5, 1239, -7, -1\/4 in ascending order.\nAnswer: -7, -1\/4, -1\/5, 14\/11, 1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 296 times -9\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 156232*f + 8280300. Determine n(-53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13920000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let a = -0.53 + 1.61. Let z = a + -1.18. Sort z, o, 4 in decreasing order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1370, 2741, 4112, 5483, 6854?\n\"Answer: 1371*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -105186?\nAnswer: -1\/35062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + s**4 + s**2 + s**4 - 61 - 2*s**3 as b*s**3 + p*s**4 + i*s**2 + d + q*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 3. Let k be y(2). Suppose -32 = -k*o + 2*o. What is the remainder when o is divided by (3 - (-391)\/(-51))\/(2\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/300 and 56\/343475.\nAnswer: 4121700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfi when three letters picked without replacement from {f: 1, e: 3, z: 1, w: 2, i: 10}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and -64\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 - 313. Let t = -118 - -142. Calculate the highest common divisor of d and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34278514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286853 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94580 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6981 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/30 and 94\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.3 - 15.3. Let s be (-1)\/2 - (-10)\/(-4). What is the closest to -1\/4 in 1\/2, s, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -223\/4, -2\/5?\nAnswer: -223\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*w + 23, -4*w + 5*w - 3 = -d. Which is smaller: 47 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 67*l - 69*l + 10504, -5*j + 26284 = -3*l. What are the prime factors of j?\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12847095 by 2569419.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 800*z + 353*z - z**3 + 12*z**2 - 2*z**2 + 1003*z - 12*z**2 in the form b*z**2 + q*z + h + l*z**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 171648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**7)**(-31)*l\/(l\/l**(-14)*l)*l\/(l*l\/(l**(1\/6)\/l)*l*l))**(1\/17) assuming l is positive.\nAnswer: l**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9854094 centimeters?\nAnswer: 9854.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21264 divided by 7088.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -102?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49764 and 260.\nAnswer: 248820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33964.76*-0.02.\nAnswer: -679.2952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*i + 12, 0 = 4*i + n - 6*n + 12. Suppose 4 = 3*k - 8. Solve k*s - 4*z = s - 12, 0 = -i*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-12)\/8)*2. Suppose -4*c + 146 = g*n - 2*c, 0 = -4*n + 5*c + 111. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 2. Let x(a) = -a + 1. Let v be x(6). Put v, -2, l in decreasing order.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwssssswss. What is prob of sequence sss?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33\/2 - 16. Let r be (-1*(-3)\/(-8))\/((-117)\/(-78)). Which is the third biggest value? (a) 3 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k. Let g(o) = 3786 - 3786 + 14*o. Let w(l) = -9*b(l) - 2*g(l). Determine w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) 1 (b) 4 (c) -4 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (0 + 7 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 10*i**2 - 5*i - 4. Calculate o(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -1, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25254 + 4753 = -13*q. Is q at least 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.4. Let l = -11 - -12. Which is the third biggest value? (a) j (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryy when three letters picked without replacement from ryrrrrryrrrr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2 + 4*f - 2 + f. Let r be 8\/(1\/(-12)*-6). Suppose 4*i = -q + r, 8*i - 4*i - 3*q = 0. What is y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/32 + 7*r**3\/8 + 45*r**2\/16 + 23*r\/8 - 83. What is l in i(l) = 0?\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**7\/168 - 7*x**6\/120 + 17*x**5\/80 - 17*x**4\/48 + x**3\/4 - x + 37. Factor b(m).\nAnswer: m*(m - 3)*(m - 2)*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.4 - -53. What is the closest to 2\/5 in 2, -82\/7, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-28))\/((-14)\/49)*15980\/(-94)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 + l + 13. What is g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + -0.31684\nAnswer: -0.52684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imk when three letters picked without replacement from {m: 6, k: 1, i: 1, d: 7}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y + 9. Suppose -4*a + 20 = 0, -3*g = 2*g + a - 60. Let j(c) = -8*c - 5. Calculate g*j(w) + 6*u(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 2)\/(2\/22) + 4. Let j be r\/(-216) - (-2)\/18*2. Suppose -142 = -u - j. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 241 = -2*g + 883, -4*g = -3*p + 832. Let r = p + -197. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 23842*m**2 - 71067040*m + 71043200.\nAnswer: -2*(m - 5960)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653 + -658. Let o = -3.1 - -0.1. Which is the closest to 1? (a) i (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t + 1. Let j = -33 - -41. Suppose l - j = -3*l. What is the third smallest value in l, t, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - -314?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 343957578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7647859 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5434993 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:26 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168, 178, 196, 222?\n\"Answer: 4*g**2 - 2*g + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 105.109. Let p = r + -2.109. Let t(j) = j + 13. Let g be t(-12). Which is the second smallest value? (a) g (b) p (c) -3\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*i + 25*i - 7 + 40 - 33.\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -15*w**4\/2 - 26*w**3\/3 + 32*w**2 - 8*w + 29. Find h such that m(h) = 0.\nAnswer: -2, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u. Let o(j) be the second derivative of j**6\/720 - j**4\/12 + 2*j. Let i(q) be the third derivative of o(q). Determine i(z(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-5)\/(-20))\/(6\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwnwnwnnwwwwnnwnw. Give prob of picking 2 n.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**2*c**3*l**3 + 1204*b**2*c*l**3 + 5*b**2*c + b*c**3*l - 71*b*l**2 - 2*c**2*l**2 - 6*c*l wrt l.\nAnswer: -84*b**2*c**3 + 7224*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/4 - 5*d**4\/3 + 25*d**3\/6 - 5*d**2 - d - 34. Factor x(o).\nAnswer: 5*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32644870.6663423 - -5.6663423. Let d = m + 32644996.00073. Let u = 131 - d. What is u rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1026 < -1025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -47*h - 6437. What is u(-137)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 0 - 3*t**2 - 8*t + 5 - 2. Let y be i(-7). Suppose 62 + y = 3*k. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 182*l + 22 - 54 in the form t + n*l and give n.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 678*u + 1696. Let l(h) = 226*h + 562. Let k(x) = 14*l(x) - 5*w(x). What is the derivative of k(n) wrt n?\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 3*t - 4*t)*(2 - 5 + 13).\nAnswer: -80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 + (-20)\/200.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**4 + 3 + 4*q**4 - 8*q**4 - 2*q**3 as y*q**3 + i*q**2 + u*q + d + k*q**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/8 - 87867*r**2\/4 + 87873*r = 0. Calculate r.\nAnswer: -58582, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 1\/12*g**4 - 2 + 0*g**2 + g + 0*g**3. Let r(k) be the first derivative of u(k). Let x(n) = -3*n. Give r(x(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y - 4*w, 4*y = -y - w + 18. Suppose 21 = t + 3. Suppose -5*s + 6*z - z + 25 = 0, 3*s = 2*z + t. What is the smallest common multiple of y and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2. Let z(s) = -10371 - 3*s**2 + 10371. Calculate z(q(d)).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603, 590, 563, 516, 443, 338, 195?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 383 + -192. Let w = -62066\/3 + 20492. Let n = w + l. Calculate the common denominator of -41\/15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.7 + 1.6. Let t = x + 41. Let l = 3 + -4. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2037723*p*z + 1736*z - 80 with respect to p.\nAnswer: 2037723*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + 2*v)*(13 - 13 - v)*(0*v**3 - 2*v**2 + 0*v**2 - 6*v**3).\nAnswer: 12*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221041223 + 101?\nAnswer: 221041324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178384 and 55745.\nAnswer: 891920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t. Let p be a(-1). What is the second derivative of -p*w - 3*w**5 + 14*w - 5*w wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*f - 372 + 2650, -4*u - f = 2263. Let l be u\/14*680\/6. Let c = l - 310. What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1876020*p. Let u(h) = 2*h. Calculate c(u(y)).\nAnswer: 3752040*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2126 - -2155.82. Let r = k - 32. Let l = -0.18 - r. What is the biggest value in l, -4, -0.7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 5*f - 5 + 3*f)*(-104 + 15*f**2 + 104)*(5 + 14*f - 5 + (-2 + 0 + 0)*(1 - 1 + 2*f) + 0 - f + 0) to u*f**2 + o*f + x + a*f**3 + c*f**4 and give c.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-211)\/(-633))\/((-2)\/42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-25)*((-158)\/1264 + 238\/(-16)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6)*d**3*d*d)\/(d\/d**(-2\/7)*(d**(1\/2)\/d*d)\/d) assuming d is positive.\nAnswer: d**(157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/11261282 and 9\/10?\nAnswer: 56306410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/37 (b) 3\/2594 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -50. Calculate the smallest common multiple of 11 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*n - 4 = -0*i, 2*i - 3*n - 3 = 0. Suppose 7*b + 725 - 2440 = i. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 25\/2 (c) 0.1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 67931.39 to the nearest 100.\nAnswer: 67900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = -11. Suppose 0 = -2*s - 0*s + 8. Find q such that -s*q**c + 19*q**3 + 3*q + 13*q**2 + 11*q**2 - 6 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -2297?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 17436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1250 - 1250. Solve 4*y + 5*q = 9*y + 15, l = 5*y + 4*q + 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-8) - (-1 + 4). Let n = -23\/39 - 2\/195. Suppose x = 0, -2*l - 5*x = 24 - 18. What is the third biggest value in l, 0.4, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 852076 divided by -36\nAnswer: -213019\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 - 80. What is the remainder when 180 is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*g**3 - 49074*g**2 + 5383106*g wrt g.\nAnswer: 516*g - 98148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.74. Let q = i + 1.06. What is the closest to q in 2, -0.1, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -5) + 2 - 8. Let i be 1 + -4 - (m - -662)\/(-8). Calculate the highest common divisor of 553 and i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/8 + g**2\/4 + g\/8 - 1\/4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 10*m + 6. Let h(c) be the third derivative of c**5\/60 + 7*c**4\/24 + 2*c**3\/3 + 6*c**2. Let r(u) = -5*g(u) + 7*h(u). What is r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 269320643 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 35*k**2 - 1832*k + 61. Is d(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -10, 5, 36, 89, 170, 285, 440?\n\"Answer: h**3 - h**2 + h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*w + 5*g, 5*w = -0*g - g - 37. Let m be (w\/(-10))\/(1\/5). Let b = 5 - m. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -8 + -2 + -10 + (-31 - -52).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.9 - 45.8. Let r = 11.6 + m. What is the closest to -0.8 in r, -2, -0.1, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002175244 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15070 and 191290.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17396429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2167?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/(-5)*((-369)\/27)\/(-41)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r + 38 - 38)*(-6*r + 14 - 9 - 7) to f + o*r + x*r**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645598 is divided by 95.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f**2 + 16*f + 14. Let n(g) = -g**2 - g - 1. Give -m(w) - 12*n(w).\nAnswer: -18*w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*i + 299*i - 9171 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 2*h - 10. Let f(b) = 6*b**2. Determine g(f(y)).\nAnswer: -36*y**4 + 12*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303428 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10590054 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 21*c**2 + 2*c - 47. Determine x(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 + 200. Let r(k) = -118*k - k - y*k. Let h(l) = -2*l. What is h(r(i))?\nAnswer: 330*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -7 in descending order.\nAnswer: -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728057 is divided by 17245?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5835, 5419, 4703, 3669, 2299, 575?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + 684. What are the prime factors of o?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**2 - 113*s. Let r(w) = -11*w**2 - 122*w. Give -4*g(d) + 3*r(d).\nAnswer: 7*d**2 + 86*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x**2 - 1. Let s be w(1). Suppose 3*t = s + 6. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3.7. Let h = m - 3.3043. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -2\/7, 4, -75, 1\/3, 16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l. What is z(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*r = 3*q - 12, 0 = q - 5*r + 4. What is the third derivative of 65*p**2 - 29*p**6 - q*p**3 - 8*p**3 + 14*p**3 wrt p?\nAnswer: -3480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x**4 + x - 2*x**3 + 18*x - 1 - 7*x + 4*x + 23*x**4 as j + p*x**3 + t*x**4 + c*x**2 + r*x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 22*r = 30. Suppose -5*n - 4*g + 31 = 0, -7 = n + 2*n - 4*g. Calculate the lowest common multiple of r and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3390678.\nAnswer: 2, 3, 113, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 23*k - 101. Determine s(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 - z**2 - 3*z + 4. Let m be a(-4). Let y be (-2)\/(-5) - m\/(-40). Find the common denominator of 85\/6 and (y\/44)\/((-2)\/12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.04868 to 2 decimal places.\nAnswer: -3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let w(f) = 113*f. Calculate t(w(j)).\nAnswer: 12769*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 305 = -5*m, -45 + 141 = t + 4*m. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -822.3 + 825. Let z be ((-8)\/9)\/4 - (-12)\/27. Sort b, z, 0.2 in increasing order.\nAnswer: 0.2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 31. Let t be v(-8). Let n(l) = -9*l - 5. Let b(w) = -6*w + 5 + 7*w - 9 + 5. Let r(j) = 2*j + 2. Let m(x) = b(x) - r(x). Give t*n(h) - 6*m(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 200 - 200 + 7*w**2 - 2 + 2 + w**2 + (0 - 2 + 0)*(2*w**2 + 4*w**2 - 5*w**2) - w**2 - 4*w + 4*w.\nAnswer: 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -14. Which is bigger: -4\/7 or n?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-12))\/y)\/y*y**(-12)\/y*y*(y*y**(1\/2)*y)\/(y\/y**(-3\/10)) assuming y is positive.\nAnswer: y**(-119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89, 92, 95, 98, 101, 104?\n\"Answer: 3*l + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.83 (b) 6 (c) 2 (d) 4 (e) -44 (f) 1 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {n: 1, w: 3, v: 3, u: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31019 + 49223 = 444*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - 27.78824485.\nAnswer: 35.21175515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27236715 divided by -3.\nAnswer: -9078905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -0.9. Let t = -73.1 + 68.1. Which is the closest to g? (a) t (b) 0.1 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -430, -989, -1964, -3493, -5714?\nAnswer: -8765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z**(1\/4)*z*z\/(z*z**(-1\/3)\/z*z)*z**(1\/5))\/((z**1*z)**(-36)\/(z**(-1))**19) assuming z is positive.\nAnswer: z**(3307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -23*t - 52. Let v = 41 + t. Calculate the lowest common multiple of v and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2755 - 349867\/16530. Find the common denominator of 3 - (-10)\/((-280)\/(-266)) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263021881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 17*z**2 - 10*z - 29. Let s = 183 - 147. Calculate the remainder when t(-17) is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/((j**(-11\/5)\/j)\/j)*j**17*j*j**(2\/13) assuming j is positive.\nAnswer: j**(1323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*24\/9. What is the remainder when 2\/(-4) + 15\/2 is divided by 6*-1*(-2)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988943481.\nAnswer: 7, 284134783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1262905 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*46\/207*((-42)\/(-8) + -3). Put -65\/4, p, -10, 2\/7 in descending order.\nAnswer: p, 2\/7, -10, -65\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1763 - 1?\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -1. Let m = f + 10. Find the second derivative of h + 2*h**4 + 0*h**4 - m*h wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 5. Let d be y(-5). Suppose 0 = -195*o + 169*o + 6890. Suppose -o*q + 271*q = 24. Solve d = -2*m + 2*l + 3*l - 10, 5*m = -q*l + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2338 and 307874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -72 - 3. Suppose -c = -7*k + 2*k. Suppose -2 = -k*x + 22. What is the remainder when 22 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 15706*k - 15707*k = -40, -t - 10 = 3*k for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40082 and 5630?\nAnswer: 112830830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**2*x**3 + 42*i**2 + 9970*i*x**3 - 278*i*x**2 - 16*x**3 + 89*x - 2 wrt x?\nAnswer: -120*i**2 + 59820*i - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149608 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 4*k)*(-k + 2*k + k)*(-4 + 1 + 5)*(-2*k + 2*k + 3*k) + 6*k**3 - 2*k**3 - k**3.\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 1. Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, f: 9}. Give prob of sequence mfm.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4783 + 13438?\nAnswer: 7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 12*q - 10*q + 1163, 0 = -2*p - 2*q + 772. What is the highest common factor of 378 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/(5\/30). Solve t = -3*y + 15, 0*t + 11 = t + k*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590197, 1180389, 1770581, 2360773?\nAnswer: 2950965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*p - 88*p + 6*t + 132 = 0, 4*p + 5*t + 112 = 0. Let u(v) = v - 1. Let a(i) be the first derivative of -4*i**2 + 8*i - 1. What is p*a(b) - 21*u(b)?\nAnswer: 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 0 + -3 - (3 + 4 + -13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 22, 44?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112111201 - 1020221221?\nAnswer: -1210110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-28)\/770*(-77)\/(-84).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216937 + 259771.1?\nAnswer: -2957165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 6:38 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -8. Suppose -4*y - 3*j - 57 = 0, 3 = -3*y - 5*j - 37. Let b = p - y. What is the smallest common multiple of b and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/4 - 113*g**2 - 30855*g - 1706256 = 0. Calculate g.\nAnswer: -102, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 6. Let y = -70 + 70. Suppose -54 = -5*x - p, -4*x + t*p - 4*p + 43 = y. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.2. Let f = -13.7 + 9.7. What is the nearest to -1 in f, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488390509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 181434? (a) -3\/5 (b) -0.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9664.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 662 - 379. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:09 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 23*y - 4. Let o be t(-12). Suppose -11*f + o = 31. Let m = -27 - -82. Calculate the greatest common factor of m and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -43. Suppose 6*h + 3*w = 4*h - 11, -h + b*w = 12. Let x be ((-3)\/(-4))\/(2\/(-8)). Sort h, 2, x.\nAnswer: h, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164108756 times 0.3?\nAnswer: 49232626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 78*g + 7 + 13*g + 55*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyeeqeypjpyqjj. Give prob of sequence qy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4252*a + 4252*a - 2 + 2580*a**2 + (-a + 4*a - a)*(0 + 2*a + 0) to w*a + y + x*a**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1798.6 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 - 87*p**4 - 31909*p**3 + 194007*p**2 - 162972*p - 388800 = 0. Calculate p.\nAnswer: -144, -1, 3, 4, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15339*s**2 - 110676*s**2 + 20202*s**2 - s + s.\nAnswer: -105813*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7149971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -984 + 982. Which is the closest to 0? (a) 3 (b) u (c) 0.3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00083309 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 2272032*x + 6816098\/3.\nAnswer: -2*(x - 1)*(x + 3408049)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(4\/4)*-2. Let f be (-32 + 38)*(-2)\/u. Solve -m = -0 - f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**3 + 49*f**3 - 26*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10157 + 6843 = -c. Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/7, -3, 167388\/11?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*h - 114*h = 50. Solve 22 + h = -3*m + 5*c, 0 = 3*c - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850903 is divided by 1979.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + (6*(sqrt(121) - (sqrt(121) + sqrt(121)*-2)) - sqrt(121))))\/(-2*sqrt(1331) + sqrt(11) + sqrt(11)) + 2*-2*sqrt(1331)*-1.\nAnswer: 891*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**3 - 3*n**2 + 4*n + 1. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -925\/9 + 103. What is the third biggest value in 0.2, c, 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and 2808.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10876?\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3286 + -458011?\nAnswer: -454614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15524280, -15524285, -15524290, -15524295, -15524300?\n\"Answer: -5*d - 15524275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (-2 - (1 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214003423 + 2?\nAnswer: -1214003421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -15*j + 17*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Let b(u) be the first derivative of u**4\/4 - u**3 + u**2\/2 + 4*u + 2. What is b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 4*p\/7 + 6\/7.\nAnswer: -2*(p - 1)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4022 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 632 + -632.5. Which is the second smallest value? (a) -0.29 (b) 5\/3 (c) 0.01 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108840, -108795, -108750, -108705, -108660, -108615?\n\"Answer: 45*j - 108885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 6 = -4*v. Suppose -v*j = -5*j - 2. Which is smaller: j or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/(-882)*(-54)\/(-120)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-11)*v*v)\/(v**(-1)*v)*(v*(v**(4\/7)*v)\/v)\/((v**(2\/15)*v)\/v*v) assuming v is positive.\nAnswer: v**(-794\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2169*s + 247102. Give u(-114).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8457342 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 186*u**3 - 11*u**2 - 30*u + 1169. Let g(i) = 37*i**3 - 2*i**2 - 6*i + 233. Let o(f) = -2*b(f) + 11*g(f). Differentiate o(d) with respect to d.\nAnswer: 105*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p. Suppose 25 = 4*a + 9, p = 3*h - 5*a - 985. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1088*w - 524*w - 501*w)*(-3*w**2 + 4*w**2 + 2*w**2)*(w - 2*w - w) as f*w**3 + m*w**4 + r*w + o*w**2 + j and give m.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 16 = -3*y. Find the third derivative of 42*q**4 + 1 + 2 + 2*q**y - 12*q**4 + 10*q**4 wrt q.\nAnswer: 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j + 3*q = 20, 2*j - 80 = 2*q. Let c be 2*9\/(-10)*j\/(-21). Calculate the common denominator of (-309)\/(-36)*((-11)\/c - -3) and -71\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.835570652 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38483055 and 471?\nAnswer: 38483055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonnoottooottt. What is prob of picking 1 t and 1 o?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d - 4*t - 44, 5*d = -3*t - 89. Let y = -1 - -2. List the prime factors of (-32)\/d + 37*y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i - 1\/16*i**4 + 0 + 1\/6*i**3 + 1\/120*i**5 + i**2. Let d(o) be the first derivative of k(o). Factor d(m).\nAnswer: (m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 62*n + 1. Let o be h(1). Is (-484)\/(-9) + 14\/o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 35646*z**2 + 35646*z**2 + 5655*z**3 - 5683*z**3 - 6*z to i*z**3 + b*z + h + s*z**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1377, 2757, 4141, 5529?\n\"Answer: 2*j**2 + 1374*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let q(y) = 7*y - 1. Let f(i) = -4*n(i) - q(i). Calculate the smallest common multiple of f(-2) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193\/60 + 22\/15. Let o = -2 - -4. Sort u, o, -3 in ascending order.\nAnswer: -3, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69.58163 seconds?\nAnswer: 69581.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/33 + (-4)\/22. Suppose h = 5*s + 159, 0*h + s = -a*h + 445. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)\/sqrt(4) + -3 - ((sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(2)) + 5)**2 - (-2*sqrt(108))**2).\nAnswer: -9*sqrt(3) + 404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2 - 7*j - 11. Let l be q(9). Let f(v) = -9*v**3 + 2*v**2 - 6*v + 2. Let m be f(4). Let d = l + m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614*j = -1290*j - 134792 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 43*n**2 - n - 1. Let o(s) = s**3 - s - 1. Calculate -2*o(h) + t(h).\nAnswer: 2*h**3 - 43*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000 (base 4) in base 3?\nAnswer: 21000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 35. Suppose -5*m + 3*k + 204 = 28, 0 = 3*m - 2*k - 106. Suppose 2*n - m = -2*u - 8, -61 = -5*n - 3*u. Let q be h(n). Solve -q*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4030243 + 11?\nAnswer: 4030304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209\/4 - 52. Which is the closest to 0? (a) 0 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/6 and -44\/236295.\nAnswer: 472590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*d - 1172 - 2604 + 18*d - 1902 - 99*d wrt d.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1297 divided by 21600.\nAnswer: -1297\/21600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175183\/28196 + 5\/4028. Find the common denominator of (-142)\/20 + 2\/(-5) and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355 + -15332?\nAnswer: -14533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6372\/293 or -21?\nAnswer: -6372\/293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2 - 2523*b - 24407. Determine s(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 10*v - 6. Give w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1428 (base 11) to base 16.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(2 + (sqrt(704) - (sqrt(704) + 1) - sqrt(704))))**2*5.\nAnswer: -95175 + 2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.170303 and -5.\nAnswer: -4.829697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4514840 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 14933.\nAnswer: -2\/14933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/110 and -91\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9341, 17932, 26523, 35114, 43705?\nAnswer: 52296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {a: 4, c: 4, h: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-32 - 16 + 13)*(v - 3 + 5 - 8).\nAnswer: -35*v + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - g + 3*x + 28, 0 = -2*x - 8. Let w be (-5)\/(20\/(-116)) + g. Find the second derivative of 5*m**5 - 14*m + w*m - 6*m wrt m.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Let v(b) be the second derivative of -1\/2*b**2 + 1\/3*b**3 + 1\/30*b**6 - 1\/10*b**5 + 2*b + 0 + g*b**4. Factor v(c).\nAnswer: (c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2018*h**2 + 18*h + 36. Let w(f) = -f - 2. What is -2*k(l) - 36*w(l)?\nAnswer: 4036*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 3*u**3 - 2*u**3)*(12*u**2 - 37*u**2 - 5*u**2) + 2*u**3 + 2*u**3 - 2*u**5 + 0*u**3.\nAnswer: 28*u**5 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**2 - 3\/55*b**5 + 2\/11*b**4 - 8\/33*b**3 + 0 + 1\/165*b**6 + 5*b. Factor d(o).\nAnswer: 2*o*(o - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-2)\/(-1))\/(6\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**7\/105 - 2*l**6\/15 - 3*l**5\/10 - 61*l**2. Factor j(o).\nAnswer: 2*o**2*(o - 9)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 9*g - 2. Let u(h) = 2*h**3 + 3*h**2 - 9*h + 1. Let s(o) = 3*j(o) + 2*u(o). Factor s(c).\nAnswer: (c - 4)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.4. Let r = v + 1. Let n = -0.7064 - 5.2936. Which is the nearest to r? (a) -5 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 - r**3 - 8*r**3 + 10*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2869.857 millilitres?\nAnswer: 2.869857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - 4\/(-6). Let c = -191 + 190. What is the nearest to j in -5, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -39. Let j be (-18)\/b*21\/(-14). Factor -j*g**3 + 3*g + 61*g**3 - 32*g**3 + 5*g**2.\nAnswer: g*(g + 1)*(2*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 4*y + 2. Let v be t(-2). Let r be v\/(-4)*2\/198. Let b = 125\/462 - r. Is 0 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31963 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -5399?\nAnswer: -53a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 11:06 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 5. Let h be k(-2). Let q be -2*(2 + h) - -6. What are the prime factors of 52 + q\/1*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(16\/5))**(-46))**19 assuming k is positive.\nAnswer: k**(-13984\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 + 95*s + 215. What is d(30)?\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 4*g - 106, g - 154 = -42*v - 40*v + 91*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = 26*c - 544 - 463. Solve 2*i + c = -3*s + 8, 5*i = s - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*p = 80, 7*i + 1263920 = -p + 1264023 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:13 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -3*h - 3*z, -5*z = -3*h + 14. Suppose p = h*p - 10. Solve -2*q - 10 = i, i - 4*q = -p*q - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10779734 to the power of 1\/2, to the nearest integer?\nAnswer: 3283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46156c + 4?\nAnswer: -461568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/35 - 2\/7) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**4 + 33*m**3 - 159*m**2 + 123*m - 54. Let r(g) = g**4 - 5*g**2 + g - 1. Let h(y) = -o(y) + 12*r(y). Determine t, given that h(t) = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.5 - -10. Put c, 3\/7, -0.06 in decreasing order.\nAnswer: c, 3\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.4 (b) 0.5 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 186*w**2 - 75*w**2 + 72*w**2 + 184*w**2 + 437*w**2. Let o(p) = 2*p**2. What is o(x(b))?\nAnswer: 1292832*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*n - 20 + 1, 14 = 4*j - 2*n. Factor 2\/11*m**5 + 0 + 6\/11*m**4 + 0*m + 6\/11*m**3 + 2\/11*m**j.\nAnswer: 2*m**2*(m + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a10 - 0?\nAnswer: -a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + (42 + -54 - (4 - 4)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 2*n**3 + n**3)*(-14*n + 508*n**2 + 510*n**2 - 1031*n**2).\nAnswer: 26*n**5 + 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 343*t**2. Let h(k) = 24*k**2. What is i(h(y))?\nAnswer: 197568*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926762 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 + -10.8.\nAnswer: 115.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -7*t**6\/120 - t**5\/30 + t**4\/6 - t**3\/2 + 119*t**2 - 3*t. What is x(2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 7:10 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-5 + 9))\/1. Suppose 0 = -2*u - 2*z + 44, -z = 3*z + 16. Let m be u\/(-48)*-3 - 2. Is m not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 56. Let t be y(-18). Suppose 2*i - 5*f = 18, t*f + 8 = i - 1. Find the first derivative of 0*v**4 - 5*v**4 - 42 + 3 - i*v**4 wrt v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12463 is divided by 4154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(140) + (2*sqrt(140) - sqrt(140)))\/sqrt(10))\/(2*sqrt(162)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111095 and 68.\nAnswer: 444380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 10*t + 693 = -69*t - 2673 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 - r**2 + 4*r + 4. Let q(k) = -11*k**3 - 2*k**2 + 7*k + 7. Let t(v) = -7*f(v) + 4*q(v). Find the third derivative of t(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45035, 45041, 45047, 45053?\nAnswer: 45059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -4, 0, 181, 4, 2.\nAnswer: -31, -4, 0, 2, 4, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*j**3 - 30*j**3 + 6*j**3.\nAnswer: 62*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10725 - 0.5529.\nAnswer: 10724.4471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8518467443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Suppose -3*w + 5 = -1. What is the nearest to -0.1 in w, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10232 (base 5) to base 2\nAnswer: -1010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056755.\nAnswer: 3, 5, 137117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 43*t + 26*t - 62*t. Let y(s) = -6*s + 6*s + 3*s**2. Give w(y(f)).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 61*t - 480. What is the smallest common multiple of h(8) and (-70)\/(-4)*(-4)\/(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b690 + -53c1?\nAnswer: -13a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*o + 0*o - 5*o)*(6*o**3 - 2*o**3 - 2*o**3)*(-2 - 17 - 15) in the form s*o**2 + c + q*o**3 + b*o**4 + j*o and give b.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*h = -229*h + 3*n + 1, 3*h - 2*n - 10 = 0. What is the nearest to 1 in 1\/6, -7, 24, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 580 + 246 + 438 - 242)*(3*q**5 - q**5 - 6*q**5)*(1 + 2 - 6).\nAnswer: 12036*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -21*x**2 - 231*x + 4. Let i be w(-11). Solve 2*o + 16 = i*u, o + 14 = 4*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 166 (b) -3\/7 (c) -0.3 (d) -0.037 (e) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x + 10*x - 127*x - 33*x + 26*x.\nAnswer: -189*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 63*x**2 - 85*x + 1450. What is n(31)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -5. Let n(o) be the first derivative of -1 - 2*o + 2*o**3 + 1\/2*o**2 - 1\/2*o**4. Let u(b) = 2*b**3 - 5*b**2 - b + 2. Give d*n(x) - 6*u(x).\nAnswer: -2*x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84842096, -3, 5, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m*x**2 - 6787*m*x - 3*m + 65*x**4 - x**3 + x wrt x?\nAnswer: 42*m + 780*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34703 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4819, 4301, 2907, 199, -4261, -10911, -20189?\nAnswer: -32533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -3*h**4\/8 - 589*h**3\/3 + 2763*h**2\/4 - 395*h + 1052. Determine y, given that m(y) = 0.\nAnswer: -395, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321369*o - 8614 = 321609*o + 11855 - 4629 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162892 is divided by 23268.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100074 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 7710*v - 30760.\nAnswer: -5*(v + 4)*(v + 1538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/9)))**48 assuming k is positive.\nAnswer: k**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12*12*1. Suppose 0 = 5*u + 2*c - 1775, -w*c + 1202 = 5*u - 568. Is 14 a factor of (-1)\/(-4) - u\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -109379 and 103467.6.\nAnswer: -5911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 = -g, 0 = 5*g - 3*q - 2*q - 45. Let t be (-651)\/g*2\/(-3). Solve 3*b - t = -4*i, 0 = -2*i + 3 + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-40))\/((-7)\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/22 + 2\/11. Let r = 3.388 - 3.438. Which is the closest to r? (a) 1 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:20 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:09 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*y + 10174 = 2068 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-12)\/(-48). Let n be (1 + 8\/(-12))*j. Let y = -44 - -219\/5. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 - 3*j**3 + 21*j**2 + 3*j - 18 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g)*(-121 + 54 - 17).\nAnswer: 168*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222202121 (base 4) in base 16?\nAnswer: -6a899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -1.7, -0.4 in descending order.\nAnswer: -1\/14, -0.4, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45886.74 milliseconds to minutes.\nAnswer: 0.764779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + -2*sqrt(110))*-4 + 1*-1*sqrt(110))*4)\/((3*2*sqrt(30) + sqrt(30))\/((sqrt(3) + sqrt(27))*-1)).\nAnswer: -48*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173 (base 8) to base 6.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2867)\/1830 + 55\/(-66).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26240185435 and -3?\nAnswer: 26240185438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7665, 7833, 8071, 8379?\nAnswer: 8757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -1, 7 in ascending order.\nAnswer: -6, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5290 + -1898. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*(-276)\/(-184)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -47*m - 50328. Let t = -9\/370 - 4492\/1665. Calculate the common denominator of t and 3\/(-4) + m\/72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-10) + (8\/64*100 - (-56)\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2756126 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c + 106 + 62 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, w: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36784947 by 5.\nAnswer: 36784947\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 9. Let y(t) = -t**2 - 11*t - 10. Let p(i) = 4*i**2 + 45*i + 41. Let s(z) = -2*p(z) - 9*y(z). Let o(a) = -2*g(a) - 3*s(a). Factor o(m).\nAnswer: -3*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50569453 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/22 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88397.63 litres to millilitres.\nAnswer: 88397630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8)*8 - -8. Suppose f - l = -2*b, -3*b + f + 8 = b. Solve -t = 5*g + 12, b*t = 4*g + 6 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/3, -5\/6, -7, -0.0995?\nAnswer: -0.0995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043 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: Find the third derivative of 3636 + 219*s**6 - 1820 - 1816 - 212*s**2 - 321*s**2 wrt s.\nAnswer: 26280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 11*l**5\/60 - l**4\/4 - 14*l**2. What is the tens digit of y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.112 + -0.37334\nAnswer: -0.48534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a minute in seconds?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 265468 = 5*z, 2*g - 85214 = 5*z + 180314. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-84)*600\/(-150)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 113 + 163 = -3*v, -5*v - 130 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -99, -107, -127, -183, -299, -499?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145143\/22 - -6593. What is the common denominator of h and -77\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14\/11 - 31\/33. Let k = 34 - 33.9. Sort x, 4, k.\nAnswer: k, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 6*o + 5. Let j = -111 - -116. Let k be r(j). Suppose 2343 = k*p + p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279966464 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 83385333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -5. Let i be -56 - 0 - 12\/m. Is i\/(-2*4\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -55*j**2. Let c(d) = 17*d - 17*d + 0*d - 3*d**2. Determine h(c(b)).\nAnswer: -495*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -771, -775, -777, -777, -775, -771, -765?\n\"Answer: i**2 - 7*i - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**12)*u\/(u\/(u**(-2\/7)*u))*(u*(u**(3\/14)\/u)\/u*u)\/(u*u**(1\/7)))**(1\/6) assuming u is positive.\nAnswer: u**(-185\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -203213?\nAnswer: -203211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:41 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2 (b) 3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -94, -4, 639, 5 in increasing order.\nAnswer: -94, -4, 2, 3, 5, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579166?\nAnswer: 2, 7, 41, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 3 + 478 + -585\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/20 + 48663\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75.1, 359, 4\/11, 5, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401113475 to the nearest integer?\nAnswer: 20028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4967, 4980, 4995, 5012, 5031, 5052, 5075?\nAnswer: 5100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.7 + 137.4. Let i = g - 63. Let z = i + -68. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than 1.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(-6*5\/660).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3398\/7 or -485?\nAnswer: -3398\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 4*f - 30. Let r = 29 - 24. Suppose 4 = r*s - 0*v - 2*v, 0 = -3*s + 2*v. Which is the smallest value? (a) s (b) 0.3 (c) f (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 54. Let o be ((-2376)\/77)\/((-30)\/j). Factor 48\/5*u + o + 4\/5*u**2.\nAnswer: 4*(u + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let b be x\/6*(-3)\/(-1). Suppose -5*f - a = -5*a - 1, f - 3*a = -2. What is the highest common divisor of b and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -30*q**2 + 418*q + 32. Calculate the remainder when 1485 is divided by i(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64650*s + 129305*s - 64061*s.\nAnswer: 594*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/90)\/(-3*(-14)\/(-35))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.87? (a) 0.2 (b) 2 (c) -0.29 (d) 2\/3 (e) 0 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 4*l - 5. Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 10. Let s be q(-8). Differentiate -4*m**4 + 3 - 1 + s with respect to m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a**(-7)*(a*a\/(a*a*a\/(a*(a*a**(-2))\/a*a)))**(-21) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7 - 2 + 1)*(i - 2*i - i) + (-3 + 2 + 0)*(-4*i + 6*i + 0*i))*(1 - 1 + 2*i**3) in the form s*i**2 + q*i + a*i**4 + p*i**3 + j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 + 1.9. Let z = 4\/15 + -61\/60. Let c = 5 - 9. What is the closest to w in c, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fev when three letters picked without replacement from aqveqvvadvfva?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q - 1\/24*q**4 + q**2 + 0 - 1\/120*q**6 + 0*q**3 - 1\/20*q**5. Let y = -5 + 3. What is i(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.08946 hours to minutes.\nAnswer: 4685.3676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11236*v**2 + 33912792*v - 25589121156.\nAnswer: -4*(53*v - 79983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l + 1 + 5*l**2 - 4 + 5*l. Let z be b(5). Is (z + -1)\/(4\/88) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 12. Let v be q(12). Let l(t) = t**3 - 4*t**2 + 3. Let n be l(4). Suppose 2*a + c = 6*c + 13, c - n = v. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0*1\/(-2). Suppose 2*t = -5*i - 10 - 16, 5*i - 4*t = -8. Let w be 5\/(-4) + (975\/(-52))\/5. Sort u, i, w in descending order.\nAnswer: u, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*n)**(-18\/5)*(n*n*n\/(n*n*n**(-1\/9)))\/n**(-17) assuming n is positive.\nAnswer: n**(869\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37824267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 11*h**4\/6 + 2*h**3\/3 + 2*h**2 - 11*h + 4. Let f(y) be the first derivative of g(y). Is 7 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/((18\/(-8))\/((-1665)\/518))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4)\/((-1)\/(-664)). Let y be 12\/w*4\/2. Let f = -187\/581 - y. What is the closest to 0 in -3\/2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4\/2 + 1371765*h**3\/2 + 67225155*h**2\/2 + 915122735*h\/2 + 1088689935 = 0. Calculate h.\nAnswer: -23, -3, 274402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1080)*6*-3)\/(-5*-2*(sqrt(216) + -2*sqrt(216) - sqrt(216))))**2.\nAnswer: 81\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 87 = 188. Suppose d*g + 16 = 29*g. Solve -3*b = -b - 5*i + 25, -2*b = g*i - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 379*y - 448. Does 72 divide i(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and 0.7387.\nAnswer: -3.84124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446 - 372 = 102*q - 966 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 64861984.334 + -0.4\nAnswer: 64861983.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 139\/3, -2, 2, 6353, -2\/29 in increasing order.\nAnswer: -2, -2\/29, 2, 139\/3, 6353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.7691 less than 3179.169?\nAnswer: 3275.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 14*l**2 + 12*l + 12. What is o(-7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 2*y. Let l(o) = 3*o**2 - 4*o - 4. Let b(f) = l(f) + 2*z(f). Give b(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5521552 (base 6) to base 13.\nAnswer: 98339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:49 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -80.7*-1.562\nAnswer: 126.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/(10\/(-1000)). Suppose -7*w + 3*w = 4*n - m, 0 = 4*w + 3*n - 38. Suppose w*t = 56 + 8. Solve -21 = 5*u - 4*s, u + s + t = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4*p + 4*p)*(-42 + 1843 - 10373).\nAnswer: 8572*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 15 - 12 + 4*b**2 - 2 - 26*b**2 to the form v*b + y + h*b**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18341406 - 0.0247.\nAnswer: 18341405.9753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248909.\nAnswer: 248909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 15.99. Let t = 2.01 - v. Let w = 16.9 - 17.3. What is the nearest to -0.1 in t, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -48*p**2 + 395*p + 2. Let r be i(6). Calculate the highest common factor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46220, 46175, 46132, 46091, 46052, 46015?\n\"Answer: g**2 - 48*g + 46267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -114.2. What is the second biggest value in 0, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, -0.2, -4\/7, -0.205?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3680)\/(-48)*(-66)\/(-4).\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207e9 (base 15) in base 8?\nAnswer: -311204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a6 - 2?\nAnswer: -6a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22259223*y**4 - 5131791*y**2 wrt y.\nAnswer: 534221352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 + b - 1. Let a(i) = 2*i**3 + 7*i**2 + 9. Let y(n) = a(n) + 3*l(n). Let u be y(5). Let p = -1 - u. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:15 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98307.9 centuries?\nAnswer: 117969480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/173808 and 23\/2658528.\nAnswer: 188755488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 10*w + 380 = 0, -318*w - 318*w + 639*w - 114 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1840)\/6*(-6)\/(-2). Let i = o - -2692\/3. Find the common denominator of i and 15\/(-11) + 1 + -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 - 3*x + 1. Let w(d) = d**2 + d - 1. Let c(h) = -4*h - 4. Let m(z) = -c(z) - w(z). Let k be m(5). Give i(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**2 - 193*f - 2. Let t(l) = 16*l**2 + 289*l + 3. Calculate 5*t(s) + 7*y(s).\nAnswer: 10*s**2 + 94*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5509 by 6.\nAnswer: 5509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*n - 51, -11810*n + 11809*n + 11*l + 81 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*o - 139, -3*o + 4*o - 5 = 0. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14958 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**(-13)\/(b**(-2\/11)*((b\/b**(1\/5))\/b)\/b))\/(b**(-1\/8)*b**(2\/7))**11 assuming b is positive.\nAnswer: b**(38851\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -178. Let p = 117 + r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854\/610*(-2 + (-1 - -4)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -188*f - 867. What is the least common multiple of l(-11) and 11?\nAnswer: 13211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3786 - 1335. Let h = t + -1173. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**1))\/i)\/i**7)\/((i**(1\/2)*i)\/i*i**(-1\/3)))\/(i**(2\/7)*i*i**(-11))**11 assuming i is positive.\nAnswer: i**(4103\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p**3 + 15*p**2 + 2*p**3 + 27 + 7*p**3 - 10*p + p**3. List the prime factors of g(-15).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1.87?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 8*y**2 - 26*y + 110. Let q = -632 + 638. Let p be i(q). What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 6*z - 2. Let w be 1\/(((-3)\/(-3))\/5). Let g be m(w). Let u = g + 17. Calculate the highest common divisor of 70 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704649949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*u - 860, 703 = 3*x + u - 141. What is the greatest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 5*k**3)*(59*k + 13*k**2 - 59*k - 2*k + 2*k**2 + 2*k + 2*k**2 - 1 + 1 + (5*k - 4*k + 0*k)*(k + 1 - 1) + 3*k**2 - k**2 - k**2).\nAnswer: -95*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 24 + 0 + 11*q + q**2 - 6*q**2 - 15. What is r(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 + 9*b + 7. Let d be c(-6). Suppose -2*l + 112 = 2*a, 2*l = 4*a + 57 + d. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - k**3 - 4*k**3 + k**3 - 3*k**3 + 0*k**3 + (3*k**2 - 9*k**2 - 5*k**2)*(-5*k - 5*k + 8*k) + k**3 - 2*k**2 + 2*k**2.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:26 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97282?\nAnswer: 2, 127, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m - 25. Let a be ((-4)\/12*3)\/(2\/18). Calculate the remainder when 318 is divided by k(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*u + 185*u + 31*u - 48*u + 2.\nAnswer: 362*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -341, -621, -911, -1211?\n\"Answer: -5*i**2 - 265*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*s + 32, -4*s + m - 33 + 13 = 0. Let y(b) = 27*b + 43. What is y(s)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f - 1. Let d(c) = 13*c - 2. Let j(x) = -4*d(x) + 9*q(x). Let o = 2 - 3. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3, -158, 20, -5.\nAnswer: -158, -5, -3, -1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -385*w**6 - 173*w**5 - 2*w**3 - 78*w**2 + 9716*w wrt w?\nAnswer: -46200*w**3 - 10380*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, c: 3, g: 1, t: 6}. Give prob of sequence cthh.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3510962 divided by -3510962.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/2 - 9. Let h = 19 - 34. Let s = h - -13. Put s, a, 0.2 in decreasing order.\nAnswer: 0.2, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -34.4. Let i = 5 - p. Let f = i + 0.60000025. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880, -1776, -2672, -3568?\nAnswer: -4464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0278 in 0.24, -5, -11?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/18*((-648)\/(-1728))\/((-30)\/48).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416 + -411 + -18 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 1234, 1609, 1986, 2365?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 874.3022mg?\nAnswer: 0.0000008743022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002782?\nAnswer: 2, 11, 19, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 4534612*s - 18138416 = 0 for s.\nAnswer: -2267302, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 8236297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w. Let t(r) = 3*r**2. Give t(o(q)).\nAnswer: 432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {d: 2, i: 1, z: 2, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -546282*t - 1. Let z(a) = -7*a + 7. Calculate o(z(u)).\nAnswer: 3823974*u - 3823975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (5 + -140)*(-1 + (-3)\/(-5)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + 5)**2 + -5 + 1*sqrt(13) + (sqrt(1872) - (sqrt(1872) - 1*sqrt(1872))) + sqrt(1872).\nAnswer: 145*sqrt(13) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.71919 + -35.906117192. Let c = h + -75.813070948. Let r = c + 75. Round r to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.1, 1.6, -3, 57?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -638 - -642. Suppose -x + 469 + 515 = 4*p, t = -2*p. What is x rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207931183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-33)\/(-18) - 2\/(-3)). Solve 0 = 4*n - v + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/4)\/(4\/(-112)). Let c = -87 - -274. Suppose -b + c = 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbmbmmmzzzmmpm. Give prob of picking 1 p, 1 z, and 1 b.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11754494 and 53.\nAnswer: -11754441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y)*(-2*y**2 + 2*y - 2*y) + 0*y**3 - 14*y**3 - 8*y**3 - 3*y**3 + 0*y**3 + 2*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-28)\/30) + 162\/378. Let p(x) be the first derivative of -6*x + o*x**2 - 9\/4*x**4 + 9 + 4*x**3. Factor p(k).\nAnswer: -3*(k - 1)**2*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y + 351. Is (-2)\/3*y\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.27 or -2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -40.3536?\nAnswer: -80.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-13 - (-3 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose -o*h = -3*h - 8. Find the first derivative of -5*t**4 - 1 + 0*t**4 + 0 + t**h wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 1768 = 4409. Let a = 235 - c. Suppose 0 = -4*g - 5*t + a + 1757, -1006 = -g + t. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21581127*p**5 + 102157269*p**2 wrt p?\nAnswer: -1294867620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98 - 98 + 54*s**3 + (6*s - 2*s - 2*s)*(-2*s**2 + 0*s**2 + s**2).\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/8561451 and -105\/11415268.\nAnswer: 34245804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 333010300 (base 4) in base 14?\nAnswer: 6a21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 1)*(-o + 0*o + 3*o) + (-2*o - 3 + 3)*(-1 + 3 - 3) + 3*o + o + o to the form i + w*o and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10600 and 12016054?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, 424, 1703, 4188, 8281?\n\"Answer: 67*i**3 + 6*i - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7283\/8 - 910. What is the biggest value in -73, 1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570e46 (base 15) in base 3?\nAnswer: 21211001212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616402, -1232812, -1849232, -2465668, -3082126?\nAnswer: -3698612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 259932, 1039740, 2339420, 4158972, 6498396?\n\"Answer: 259936*j**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 119*z + 99*z - 9*z - 3.\nAnswer: 199*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*j*s**3 + 398184*j*s - 27*s**3 + 1230*s**2 + 7*s + 1 wrt j?\nAnswer: -10*s**3 + 398184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -3. Let t(m) = m**3 + 7*m**2 + 6*m - 2. Let n be t(b). Let r be (-3 - -3)\/(n - 1). Solve z - 6*z = 4*d + 16, -4*z - 16 = r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 952 - 860. What is the remainder when h is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316979 by -4.\nAnswer: 316979\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.927 - 9.927. Let f = 26\/7 - 27\/7. Put -1.2, f, w in descending order.\nAnswer: w, f, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -738.15 + 739. Let o = k - 5.85. Let g = -0.1 - -0.3. Which is the biggest value? (a) -1 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27347.\nAnswer: 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1 - 4 + 3201*p**2 - 2*p + 6*p. Suppose -7 = b - 2. Let k be y(b). Round k to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 - 5*i**2 - 3*i**2)*(7 - 2 - 2) to the form t*i + m*i**2 + l and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -32 - 42) + (0 + -1 + 9 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461 is divided by 381?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w - 121*w + 45*w + 44*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + ((-136)\/(-10))\/2)\/((-6)\/(-2505)). Solve 73*s - 31 = j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-5) + 2 + 4)\/1. Let -2*y**4 + 0*y + 0*y**2 + 2\/3*y**3 + 4\/3*y**5 + k = 0. What is y?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -138, -28, 2, -3\/4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2516600 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u + 0*u - 25*u)*(-4 - 1 + 3 + 4 - 2 - 3 + (0 - 1 + 0)*(4 + 3 - 5) - 3 + 2 + 0 + 1 - 2 - 1)*(0 - 2 + 0).\nAnswer: -720*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10001*s. Let b(z) = z**2. Determine l(b(f)).\nAnswer: 10001*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**5 - 123*y**3 + 246*y + 3 wrt y?\nAnswer: -20*y**3 - 738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1999500*-2\nAnswer: -3999000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/959081 and 109\/34458.\nAnswer: 5754486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + 0\/(-4). Let c be ((-2)\/u)\/(4\/(-84)). Solve 4*l + c = 2*b, -2*l - b = -0*b + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, 1 o, and 1 g when four letters picked without replacement from {z: 2, g: 4, j: 2, e: 5, o: 4}.\nAnswer: 16\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02 (b) -2\/13 (c) 1\/3 (d) 910 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 181*x - 580. Does 20 divide i(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14344804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*1*(sqrt(2299) - (0 + 1 + sqrt(2299) + sqrt(2299)))*5)**2.\nAnswer: 4950*sqrt(19) + 517496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 12*y - 1. Let s be k(-5). Let o be (-8)\/s - 2\/9. Suppose 5*u - v - 6 = o, 5*u + 3*v = -0*u + 22. Solve 0 = -u*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*v**3 + 145*v wrt v.\nAnswer: -180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 244 = 4*b. Suppose -1060 = -3*w + 4*s, -355 = -w + s + 2*s. Let a = b + w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 13. Let g = 61 - d. What is the least common multiple of 2 - (4 + -1 + -5) and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135708 and 186.\nAnswer: 4206948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -316*t + 318*t - 4. Suppose 0 = 5*v - 5*c + 1345, -2*v - 537 = -t*c - c. Are -270 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19332917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 3*f + 2. Suppose -4*i + 32 = 4*r, -3*i - i + 26 = 3*r. Suppose -2*o + r = -0*o. What is the remainder when o is divided by g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2195*f**6 - 4*f**5 - 510*f**2?\nAnswer: -263400*f**3 - 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:53 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -243786094.89 to the nearest one thousand.\nAnswer: -243786000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1298\/3 (b) -1647 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1415 - -1419. Let z(c) = c**3 + 2*c**2 + 2*c + 3. Let d be z(-2). What is the closest to d in 5, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 - 2*f + 2. Let q(m) = 90*m**2 - 21*m + 21. Determine -2*q(t) + 21*v(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344203 (base 5) to base 3.\nAnswer: 122001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 39*p + 88. Let o be z(-10). What is the smallest value in 1, 0.09, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)\/w*w**(21\/2))\/(w\/w**(-2\/21))**(9\/11) assuming w is positive.\nAnswer: w**(3821\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*u + 14. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 47*p - 239 + 79 + 78.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*f + 182, 10*f - 5*f - f - 5*f + 410 = 7*k for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2409333841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 6, x: 2, e: 3}. What is prob of picking 1 e and 1 p?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/24 + d**3\/2 + 170*d**2 + 1. What is z(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136773 at least as big as -1504518\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.045, -0.3, 730?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 4*a + 33 = -7*a, x - 19 = -6*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 222*f - 693.\nAnswer: 3*(f - 3)*(f + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 29. Suppose 0 = -c + 5*b - 2, -5*c - 49*b + 16 = -48*b. Let g(r) = -3*r + 57. What is c*g(m) + 5*k(m)?\nAnswer: m + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 1999*x**5\/30 - 2347*x**3\/6 - 1629*x**2 + x. What is the derivative of b(y) wrt y?\nAnswer: 7996*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:30 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, -2, 5 in descending order.\nAnswer: 5, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - (-21 + (-10 - -54) + 6 + -9).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -41*s**2. Let q be i(1). Let g = 66 - -10. Let x = q + g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-5)\/8*-10. Let h(u) = -11*u**3 - 6. Let q(p) = -1553 - 1565 - 45*p**3 - 1563 - 1565 + 6221. Give k*h(y) - 6*q(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -10\/6283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 855443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 104*i**4 + 778*i**4 + (2 - 2*i**2 - 2)*(i**2 - 3*i**2 + i**2) as q*i + o*i**4 + t*i**2 + j*i**3 + f and give o.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 451 = 4*b, 0*b = -f - 5*b + 67. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(396) - (sqrt(396) - 3*sqrt(396)) - sqrt(825)\/sqrt(3)).\nAnswer: 2 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k + 15. Let p = -48 + 50. Let v be j(p). Solve 5*u = -5*h - 10, -v*u + 4*h - 2 = h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1614, 1623, 1632, 1641, 1650, 1659?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, g: 3, h: 5, r: 1}. What is prob of picking 1 h and 2 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5035*g + 1470 = -5133*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 + 11*n - 3. Let p be g(5). Let l(u) = -u**3 + u**2 - 1. Calculate l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 3. Let w = -360 - -352. Calculate the lowest common multiple of w*((-84)\/16)\/3 - 4 and b(-5).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -12, -2, -7, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -555195 - 2?\nAnswer: -555197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 191, 193, 195, 197, 199?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9401*n**2 - 6*n + 5. Suppose -c + 3*c - 10 = 0. Let b be k(c). What is b rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*m + 469 = -1979 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 5918?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}