diff --git "a/data/dm_maths/full_data_1/2643_11255.jsonl" "b/data/dm_maths/full_data_1/2643_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2643_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the xth term of 3669197, 3669202, 3669195, 3669170, 3669121, 3669042, 3668927, 3668770?\n\"Answer: -x**3 + 12*x + 3669186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.1 + -29. Let k = 5 + -5.5. Which is the second smallest value? (a) w (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12969 is divided by 141?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3682*t - 3682*t + 44*t**3 + 2*t**3 + 0*t**3 - 3*t**3 + (2*t**2 + 0*t**2 + 0*t**2)*(3*t + 0*t - 2*t).\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2374167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + i + 1274, 3*j + i = 758. Let t = -1779\/7 + j. Which is the second smallest value? (a) 0.5 (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 3*r + 4*r. Suppose -18*g - g + r = 0. What is h in 2*h**g - 2*h**4 - 2\/3*h**5 + 4\/3*h - 2\/3*h**3 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10344, -20651, -30938, -41199, -51428, -61619, -71766?\n\"Answer: q**3 + 4*q**2 - 10326*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 11*x**3 - x**3)*(1 + 5*x + 0 + 4*x).\nAnswer: 99*x**4 + 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39172140 divided by 86\nAnswer: -455490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 6*s - 6. Let p(b) = 16*b**2 + 33*b - 29. Let h(l) = 11*l + 187. Let z be h(-16). Let c(r) = z*f(r) - 2*p(r). What is c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:01 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27104 and 2849.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 34 and -276 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssqq when four letters picked without replacement from nqsqnnnnqnsqqqqqnnqf?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(27\/2) - 0. Let a = -3.7 - -3.2. What is the second biggest value in w, -2\/11, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2318, -1, 2\/7, 0.85, -5 in ascending order.\nAnswer: -5, -1, 1\/2318, 2\/7, 0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1580957 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 11786 + 2*h**2 - 5804 - 8054.\nAnswer: 2*h**2 + 2*h - 2072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*a + 1262 = 0, 2*d + 3*a - 502 - 767 = 0. What are the prime factors of d?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*-370.\nAnswer: 42550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6*4\/(-30))\/((-8)\/240). Let q be 1*(3\/(-5) - 12\/k). Which is the third biggest value? (a) -2 (b) -0.03 (c) 0 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2465310 and 101\/34?\nAnswer: 41910270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 765, 3174, 7189, 12810, 20037, 28870?\n\"Answer: 803*h**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325061, 324991, 324871, 324701, 324481, 324211, 323891?\nAnswer: 323521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -833392, -1666789, -2500188, -3333589, -4166992, -5000397?\nAnswer: -5833804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 49*n**3 + 12*n**2 - 32*n + 20. Calculate r(2).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y)\/y)**(2\/25)*(y\/(y**(-6)*y))\/(y*y**24) assuming y is positive.\nAnswer: y**(-467\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*g**2 + 37204*g**3 - 74410*g**3 - 142*g + 37205*g**3 to the form a + m*g + j*g**3 + s*g**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -32. What is the third smallest value in h, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230\/(-828)*1*(-16)\/10\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10325 - -4941. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 2*x + 8, 6*s - 8 = 8*s - 4*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 6*j - 2. Let s be a(-7). Suppose 188 = -f + s*f. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-27 - -25) - (1 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -223220*q**2. Let j(c) = 2*c + 27. Give j(k(h)).\nAnswer: -446440*h**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -130*u - 1017. Let h be p(-8). Put -22, 3, h in decreasing order.\nAnswer: h, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12280666, 24561337, 36842012, 49122691, 61403374?\n\"Answer: 2*v**2 + 12280665*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1775.14 - 1791. Let l = -1.24 + k. Let h = -7.7 - l. Round h to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -1856, -2784, -3712, -4640?\nAnswer: -5568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 2*r**2 + r**2 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:52 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -29. Solve -y = -v*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/270 + 1\/54. Which is the closest to 1\/3? (a) -3\/7 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:20 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v + 7*v - 3 + 14*v.\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -744913.\nAnswer: -2234739","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6671462 and 95\/112?\nAnswer: 53371696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 84, 90, 96, 102, 108?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 159, 170?\n\"Answer: 11*s + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88315 is divided by 44138.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -86?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9360570 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -56*f**2 + 9*f + 1. What is w(-1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1071390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10987)\/(-2))\/(48\/96)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.113, 0.3.\nAnswer: 0.113, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12177\/2376 - (1\/8 + 0). Solve -d + 5*n = -29, j*d = n + 21 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -11531155?\nAnswer: 11531142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1054*s**2 - 1054*s**2 + 3*s**4 + 8*s + 14 to v + h*s + r*s**3 + p*s**2 + x*s**4 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.35 (b) -3 (c) 0.2 (d) 1.834\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*g + 75, 0 = 5*l + g + 279 - 320 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2753988, 5507955, 8261922, 11015889?\nAnswer: 13769856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5739, 23855, 54349, 97221, 152471, 220099?\nAnswer: 300105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - u**2 - 3*u**2 - u - 4*u**2.\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426886 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 34042 - 6764. Suppose 4933 = x - 5*q + 376, -3*x + d = q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*f + 4*w, 5 = -4*f + 4*w - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s + 43. Calculate i(-10).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 15556462616.\nAnswer: 15556462616.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10012283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 9) to base 14\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0 - (2 + -1). Let v(f) = -f**3 - 27*f**2 + 26*f - 10. Let m be v(-28). Let s = m + -41. Solve -3*j + s*g - 3 = -2*j, 2*j = d*g + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/17, 220, -0.3, 2\/17 in descending order.\nAnswer: 220, 10\/17, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5 + 6\/15. Let b be 10\/(-5) + v*2. What is the remainder when b + 0 + (-1 - -48) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501375094 - -133469.4.\nAnswer: 501508563.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11615 + 11615. Solve s = 26*l - 3*l - 92 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(99) + sqrt(99)*1)\/sqrt(3))\/(sqrt(539)*-2)*1*3.\nAnswer: -3*sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 59*y**2 - 63*y + 20. Is b(45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1413328 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31151 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 85 - 481 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2079*r - 1. Let v(z) = 7*z**2. Determine v(n(q)).\nAnswer: 30255687*q**2 - 29106*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (98 - 161 + 106)*(2 - 3 - 3)*(2*z + 2*z - z)*(4 - 2 - 1) in the form c*z + t and give c.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 12:44 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a year?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.4327 meters in millimeters?\nAnswer: 46432.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -17*q + 55. Solve 0 = -0*y + y + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 10*j - 4. Let z(h) = -2*h**2. Calculate o(z(b)).\nAnswer: -12*b**4 + 20*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39415865007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2593775977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204259215.\nAnswer: 3, 5, 19, 67, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024708037 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:01 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/10*q**6 - 1\/3*q**4 - 1\/15*q**5 + 0 + 21*q**2 + 0*q**3 + 0*q. Suppose c(n) = 0. Calculate n.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1237*s**2 - 1015*s + 1015*s - 1176*s**2 to m*s**2 + i + c*s and give m.\nAnswer: -2413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.4. Let h = c + -0.7. Suppose 13 = -w - 3*k, -13*k = -8*k + 15. Put h, 1\/5, w in descending order.\nAnswer: 1\/5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2092)\/11506)\/(15\/(-11)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65395 and 162811.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*s**2 - 281*s**2 - 5*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -0.8, 1\/2, 21.5, 0.49?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -239b (base 12) in base 13?\nAnswer: -1a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from zzzzzkzk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19250893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -18) + (-1)\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -185*s. Let j(w) = -118*w**2. Determine d(j(v)).\nAnswer: 21830*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let u(i) = 39*i**2 + 2657*i. Give u(r(k)).\nAnswer: 39*k**4 + 2657*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5450595?\nAnswer: 3, 5, 363373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 93 - 103, 3*t = 4*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -223166?\nAnswer: 223201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3)*4\/16. Which is smaller: q or -0.073?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-16)\/(-20)*-10. Suppose -5*d - 26 = 3*s - 2*s, 2*d = 4*s + p. Calculate the lowest common multiple of 6\/9*s*-1 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or 40?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - t + 22669 = 0, 4*o - 4*t + 30661 = 7989. What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -146 + 154 + 1 + (0 - -28)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31873, 63689, 95523, 127375, 159245?\n\"Answer: 9*a**2 + 31789*a + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Let j(y) be the first derivative of 3*y**2\/2 + 4. Give u(j(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*i + 2*x, -2*i + 2*x = -22 - 14. Let z = 17 - i. Does 12 divide (-3)\/(z + (-81)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 2 + 2)*(0 + 0 - 2)*(-13 + 0 - 2).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64097 and 2134?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/5 (c) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l + 60. Let p(t) = t**3 + 9*t**2 + 18*t + 2. Let r be p(-6). Suppose 2*d = l - r. Calculate the highest common factor of 70 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9)*g)**48\/(g\/g**(-1))**(-1\/6) assuming g is positive.\nAnswer: g**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -846707*n + 2410609 wrt n?\nAnswer: -846707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -8. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.343 and -3?\nAnswer: 94.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/324 and -19\/20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55923.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16)*(2\/(-8))\/((-17)\/48)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 3*t - 5. Let f(s) = -2*s**2 + 6 - 6*s + 4*s + 0*s - 2*s. Let o(r) = -4*f(r) - 5*h(r). Suppose x + 4 = 0, d = 31*x - 33*x - 9. Give o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46838, -47186, -47774, -48608, -49694, -51038, -52646, -54524?\n\"Answer: -z**3 - 114*z**2 + z - 46724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1419.2729869 less than 2932.3?\nAnswer: 4351.5729869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140412 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/5 - (-6)\/10. Let o be 100\/8 - 2\/c. Let f(j) = 14*j**2 + 2*j - 3. Let a be f(-3). What is the highest common factor of o and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/112*14\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - 0) + -1394 + 1459\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -326, -328, -330?\n\"Answer: -2*z - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381331 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 - 24*j + 22. Let b be o(11). Suppose 15*g - 29*g + 84 = b. Solve -3*t - 5*r + 4 + 5 = 0, -2*t + g = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 3. Is j(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008717 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 38*i - 608. Calculate the least common multiple of 28 and l(23).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 + 26640*u**2 - 133150*u = 0.\nAnswer: 0, 5, 13315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Let c = r - -5. What is the highest common divisor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 38. Let j(t) be the third derivative of t**7\/1260 + 21*t**4\/8 + 9*t**2 + 1. Let a(w) be the second derivative of j(w). Calculate a(r(k)).\nAnswer: 8*k**2 + 304*k + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k**3 - 2*k**2 - k. Let l be (-21 - -16)*(0 + 78\/10). Let h = 38 + l. Give c(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3432)\/4680 + ((-4)\/(-10) - -1). Which is the second biggest value? (a) -6 (b) y (c) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2 - 1)*-2. Let w = 1 - z. Suppose d - 18 = -w*d. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 times 10\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 49 - 295 + 406 + 15*l.\nAnswer: 15*l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) + -2*sqrt(171))*1)\/(-6*(sqrt(324) + sqrt(9))).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s. Give f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) + 11288\/72. Find the third derivative of 15*l**3 - 4*l**3 + 146*l**2 - x*l**2 wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = l - i, -3*l + 4*i = 11 - 48. Let m be 0\/(l\/((-28)\/12)). Is -2*(8212\/(-8) + m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 410, 1664, 3754, 6680, 10442, 15040, 20474?\n\"Answer: 418*k**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.1648 - 0.9348. Which is the third smallest value? (a) 3 (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**4\/12 + w**2. Let l(a) be the third derivative of 0*a + 0*a**3 + 0 - 1\/12*a**4 + 3*a**2. What is s(l(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, -2\/19, 4, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -434.584 + 436.3. Round q to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (286\/15*3)\/((-24)\/(-1920)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1158 and 88573490.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = u - 4. Suppose 2*m - 2*r = 366, 35226*m - 35231*m - r + 849 = 0. What is the remainder when m is divided by u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2390 and 35370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 7135*b**2 - 4310625*b + 625838625 = 0. Calculate b.\nAnswer: -7705, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 54 (b) 0.06 (c) -1 (d) 4 (e) -1\/4 (f) -3\/649 (g) -0.02\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 130*z - 86. Let c be i(-44). Let v(p) be the second derivative of p**5\/20 - p**4\/3 + p**3 - p. Let b be v(c). Solve 6 = s - b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -884078.\nAnswer: -21217872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/456)\/9*(630\/378)\/((-10)\/4)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/75? (a) -3 (b) -1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 78. Sort 9, -1, l in decreasing order.\nAnswer: 9, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12885 and 12884 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c + 2. Let g be l(0). Find the second derivative of -3*f**2 + 2 - g + 2*f - 5*f wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -210*m + 555 + 3369 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)\/((-6)\/4). Suppose z - a*z = -3. Solve -z*y + 6 = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -915*s**2 - 248890*s - 2720.\nAnswer: -5*(s + 272)*(183*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2*r**4*x - 35*q**2*r*x + 2*q**2*r - q**2*x + q**2 - 65*r**2*x wrt r?\nAnswer: 12*q**2*r**2*x - 130*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 + f - 5*f**2 - 2 + 3*f**2 + 7*f**2. Let v be c(1). Is 2*(375\/6)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -63. Suppose -2*u + 65 - 61 = d. Suppose 15 = 4*z - 5*m - 6, -u*z = -m - 15. Solve 3*y + 5*r = -21, -r + 0*r = 3*y + z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/5 + 197\/15. Find f, given that x*f + 80\/3*f**2 + 4\/3 + 32\/3*f**3 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891473 and 1474?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 164\/(-114) - 2\/(-19). Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 + 2. Let n(s) = 3*s**2 + 2. Let h(z) = z**2 - 3*z - 2. Let v be h(3). What is v*r(m) + 3*n(m)?\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z**4 - 2 - z**4 - 3)*(2 - 3 + 2).\nAnswer: -z**4 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + 4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 46129261.\nAnswer: 46129261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 89*r - 11. Let b be c(-8). List the prime factors of (-8)\/(-36) - b\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 2*i**2 + i + 4. Let d be y(0). Suppose d*g - 9*g - t = 8450001, g + 4*t = -1690004. Round g to the nearest 10000.\nAnswer: -1690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24006 - -24006. Find k, given that -2\/11*k**4 + 4\/11*k + o*k**3 + 6\/11*k**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4433 + -4456. Which is smaller: 4\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**7*k*((k*k*k**1)\/k)\/k*k*k*k**(-4)*k*k*k*k**(-1\/12) assuming k is positive.\nAnswer: k**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -52*z - 1. Let r be o(-1). Suppose 8 = 43*a + r. Let l(b) = 2*b. Calculate l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62553928 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**2 + 4*s + 6. Let a(h) = -59*h**2 + 26*h + 39. Let y(o) = -6*a(o) + 39*k(o). Let f(g) = 21*g**2 + g. Give f(y(j)).\nAnswer: 189*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 2*g + 6*g)*(647 + 839 + 1038 - 505 + 932).\nAnswer: 2951*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12255 divided by -43?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 7:14 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 366161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 - 32 = 0. Suppose b = 2*v - w, -16 = -5*v + w - 5*w. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6113684, 12227488, 18341294, 24455102, 30568912, 36682724, 42796538?\nAnswer: 48910354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2 - 4*m + m - 3. What is the remainder when q(-4) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -28*1*4*10\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(48) + (sqrt(75) + -2*sqrt(75) - sqrt(3) - sqrt(3)).\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -73615430 and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l - 9*l)*(-4 - 2 + 2)*(2 + 4 - 4).\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -280947347.34\nAnswer: -280947345.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2616 divided by -24?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/14 > -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 11*q + 4. Let o(t) = 25*t - 2. Let x be o(4). Suppose 10 = 8*h + x. Let k be g(h). Solve -6 = k*p + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8305.3 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119698 - -19138.8197.\nAnswer: -100559.1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from keededfedeuf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/((-135)\/(-594))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 702*o**3 - o**2 - o. Does 66 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(171)*5*-1)\/(sqrt(441)*-3 - sqrt(441) - (sqrt(9) - sqrt(144))*2) + -4)*-3)**2.\nAnswer: -540*sqrt(19)\/11 + 108171\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665109.3 nanoseconds in minutes?\nAnswer: 0.000011085155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/120 - u**5\/6 - 5*u**4\/12 - 2*u**3\/3 + 6*u**2. Suppose 3*d - 27 = -3. What is the lowest common multiple of d and v(11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423351696 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.040944 - 0.04693. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/105 - 3822003\/7. What is r rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285050 divided by 10\nAnswer: 28505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3272)\/(-88) - (-220)\/(-1210)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from {v: 1, b: 2, e: 1, w: 1, a: 1, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13\/12 - -3\/4. Let h be (-185)\/(-65) + -3 - (-10)\/65. Sort j, -1, h in ascending order.\nAnswer: -1, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -15*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/112*(-48)\/(-20) - 256\/(-28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233124 + -2004?\nAnswer: 231120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 14. Let p be a(8). Let g(k) = -28*k + 64*k + p - 38*k. Let j(c) = c**2. Give j(g(r)).\nAnswer: 4*r**2 - 72*r + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/219 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002332193 rounded to six dps?\nAnswer: 0.002332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) - (-1969)\/7160.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 427152 = -z, -252*n = -248*n + 3*z - 244069. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.69762 + 5.69762. Let l(q) = -q + 2. Let a be l(7). Sort h, 4\/5, a, -4\/7.\nAnswer: a, -4\/7, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0737 + -36.9737. Let g = -36.9000206 - l. What is g rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -11*l**4\/4 - 193*l**3\/6 - 7*l**2 - 324*l. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.55 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-39)\/26*(-124)\/30?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 54*d + 7488.\nAnswer: -(d - 312)*(d + 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000681538285 rounded to 6 decimal places?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 731406*r - 21. Let h be q(12). Let x = 17776851 - h. Round x to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 2*v + 42. Let g(t) = 3*t**2 + 2*t - 21. Let y(n) = 5*g(n) + 2*k(n). Let l be y(7). What is the highest common divisor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w**3 - 11*w + 40*w**3 + 3 - 10*w**3 - 10*w**3 to the form f*w + u*w**2 + p*w**3 + o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.5 (c) -4\/9 (d) -23 (e) -144\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 1438\/5?\nAnswer: 1438\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 10*u**2 - 11*u - 6. Determine f(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430189 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-4))\/(4\/(-16)) is divided by (-14)\/((-91)\/13)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*u - 4*t - 387, 0 = 3*u - t - 431. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0411584 rounded to two dps?\nAnswer: 13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1938*y - 3. Let a(o) = 644*o - 1. Give -8*a(q) + 3*v(q).\nAnswer: 662*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 1 - 47 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 11664*z - 11901*z to u + p*z and give p.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7\/2 (b) -0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 4, i: 6, q: 2, h: 1, v: 1}. What is prob of sequence qbqb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/60 - 11*j**4\/24 - 16*j**3\/3 - 673*j**2. Determine g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -23. Let v be (9\/y)\/(1\/(-5)). Solve 3*t + 5*r = 9, -v*t + 4*r = -10 + 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -578.1.\nAnswer: -563.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10928 - 7574. Calculate the highest common factor of 172 and r.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1764 and 450.\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15563021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83671, -167339, -251007?\n\"Answer: -83668*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/255 + z**5\/34 - z**4\/34 - 13*z**3\/51 + 10*z**2\/17 - 58*z. Solve d(l) = 0 for l.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = d + 3*d. Let g = -126 - -196. Calculate the greatest common factor of g and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201302 (base 4) to base 7.\nAnswer: 6206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 2. Let q(y) = 2. Let p(f) = -5*f - 3. Let z be p(-1). Determine z*x(t) - 3*q(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16826012 and 20.\nAnswer: 16826032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1681, 3335, 4987, 6637, 8285, 9931, 11575?\n\"Answer: -f**2 + 1657*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 24*v**2 + 22*v - 21. Let o be s(-23). Suppose 4 = -k + 4*z + 11, o*k - 5*z = 11. Solve 0 = -5*m + 2*c - 10 - 1, 5*c = k*m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.159 (c) 7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1, u: 1, a: 1}. What is prob of picking 1 j and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(2 + -3 + 0). Suppose -6*l - 16 = -c*l. Suppose -n = -l*n + 120. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*b - 5*o, -2*b - 3*b + 4*o + 28 = 0. Find the first derivative of 3*f**4 - 5*f**b - 8 - f**4 wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/183 - -5699\/3660. Find the common denominator of ((-411)\/(-18))\/(4\/(-2)) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 2661212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (735*a + 5786*a + 2866*a)*(-3*a + 2*a + 0*a).\nAnswer: -9387*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608068702 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*t - 0*a - 1316, 3*a = 5*t - 3298. Is t 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 4:18 AM and 2:02 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 132976a6?\nAnswer: -132976a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139427862.\nAnswer: 2, 3, 7, 967, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28475, 56725, 84975, 113225?\n\"Answer: 28250*a + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixiiiiii. What is prob of sequence xiix?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - h**2 + 1 + 3*h + 0*h + 0. Let z(d) = 2*d**2 + 8*d - 7. Let s(t) = -3*v(t) - z(t). Let i be s(5). Solve -i = -y - 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/(-2)*(-22 + 7) and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0*h\/(h**(1\/5)*h)*(h**(-3)\/h*h)**49 assuming h is positive.\nAnswer: h**(-736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4628 + 15176. Let b be 5\/(100\/(-8)) + p\/45. What is the greatest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1056 and 83\/2332.\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + n + 2*n)*(-4 + 5 + 2*n - 5*n)*(n - 2*n + 0*n)*(-2*n**2 - 2*n**2 + 3*n**2 + (4 - 1 + 4)*(-n**2 - n**2 + 6*n**2)).\nAnswer: -81*n**5 + 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 36*o. Let g(z) = -99*z**2 + 681*z. Determine n(g(w)).\nAnswer: -3564*w**2 + 24516*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(446*o**2 - 120*o**2 + 451*o**2).\nAnswer: -2331*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3960*k**3 + 4 - 4 + 3994*k**3.\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-12 + 12 + 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 - 2*t + 6. Let i be o(9). Let z = 33 + i. Suppose 5*d - v = 41, -4*d + 10 = v - z. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 85 - 23 = -2*t. Put -274, 2, t in descending order.\nAnswer: 2, t, -274","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from mrrmrmrrrrrmmfmfrm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5 (c) 1106 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, 83, 213, 345?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8 - 44. Is f < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aweiwwpapiwawip. What is prob of picking 3 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88399?\nAnswer: 109, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1314, 3531, 5744, 7959, 10182, 12419, 14676?\n\"Answer: y**3 - 8*y**2 + 2234*y - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (42\/30)\/(-7) + 2421\/5?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 1:31 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 6*u + 6. Let s be (-4 + -6)*(-2)\/(-4). What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 800*h**3 - 4115*h**2 - 1690*h + 6600 = 0. What is h?\nAnswer: -4, -2, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 4*g + 7. Let n be l(5). Suppose -n - 25 = -3*d. 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 -2 - 1395120?\nAnswer: -1395122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*190\/399*-3 + -15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -26030343*p. Let i(c) = -3*c**2. What is b(i(n))?\nAnswer: 78091029*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6251, 50, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2048\/(-65280)*(-5)\/4.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 46 = 14*v + 37 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:37 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 + 14\/63 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 2, g: 3, p: 2, w: 1, y: 2}. What is prob of sequence ee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) -0.2 (c) 2 (d) -0.12 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4164193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 45 + 70 = 4*f, -3*f - 2*s + 100 = 0. Let v = f - 6. Let z be (-11)\/((-11)\/90) + 6. Calculate the highest common factor of z and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173534702 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12685982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546705771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - 5) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let j = -0.3 + 0.3. Let w = j - 5. What is the nearest to f in -0.5, -4, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 3. What is b(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16429\/2152 - 5\/538. Calculate the common denominator of 32\/5 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149047168097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.1 + -0.2?\nAnswer: 129.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/20 - f**4\/2 - 25*f**3\/6 - 8*f**2 + 168*f. Let r be a(9). Solve 0 = -r*b + h + 1 - 16, b = -3*h + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 679787070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9147 - 9148. Is 2\/77 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/27*18\/(-3)*1\/(-2). Sort -4, 0.5, 0.4, 15, k in increasing order.\nAnswer: -4, k, 0.4, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -34?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 5. Let g be a(-5). What is the least common multiple of ((-15)\/g)\/((-1)\/2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a - 16*a + 81. Suppose 4*x - 8 = -w + 7, a*w - 4*x = -3. Solve 0 = w*f + 2 + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-59878)\/168))\/((-4)\/84*-6).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2657 (base 16) to base 6\nAnswer: 113235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1485, -2648, -3823, -5010, -6209, -7420?\n\"Answer: -6*y**2 - 1145*y - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3484, -5044, -4674, -2374, 1856, 8016?\n\"Answer: 965*b**2 - 4455*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-141)\/(-94) - (2 + (-14)\/4). Solve -4*v + m = 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.041195 - -43005792.\nAnswer: 43005791.958805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2613*f**3*i + 12396*f**3*l + 2947*f**3 - 2*f*l - 41*i*l + 2*i wrt l?\nAnswer: 12396*f**3 - 2*f - 41*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1006\/9 + -112. Let k be 0 + -1*(-1)\/(-1). Let d = k - 0. Is c at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -30*s - 30*s + 64*s. Let i(g) = -5*g**2. What is i(f(p))?\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - 25, 5*d - 3*i - 25 = 0. Let o(m) = -1 - d*m + 126*m**2 - 4 + 3*m + 2*m. Is o(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-21))\/(252\/(-3969)*18)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10110101011111000110 (base 2) to base 6\nAnswer: -23533302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 40. Suppose y = r + x, 3*r + x - 6 = -r. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Suppose -n - 1 = k. Is (-1185)\/(-25) + n\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -100202*t. Let h(d) = -46*d. Determine h(y(q)).\nAnswer: 4609292*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -19. Let p be (2\/(-6))\/(c\/(-3)). What is the third biggest value in -5, p, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:05 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 341*y**3 + 77*y**2 + 77. Let a(c) = -9*c**3 - 2*c**2 - 2. Determine 77*a(n) + 2*o(n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddnnd. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 - 969*f**4 - 30987*f**3 - 212115*f**2 + 867882*f - 623808 = 0. Calculate f.\nAnswer: -288, -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 4*j + a, -7*j + 421 = 26862*a - 26859*a. Suppose 4*k - 858 = -3*p + 2*k, -5*p = 4*k - 1432. What is the remainder when p is divided by j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -403, -1358, -2953, -5188, -8063, -11578, -15733?\n\"Answer: -320*d**2 + 5*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/66295663 and 109\/28.\nAnswer: 265182652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*z + 219*z - 6991 = 244209. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {h: 1, l: 5, e: 3, v: 1, g: 1, q: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*y + 85 - 223 - 61 to o*y + a and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.1371989 milliseconds to days.\nAnswer: 0.00000008260646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -30. Let d(w) be the second derivative of -a*w + 0 + 5\/12*w**3 + 1\/4*w**2 + 1\/6*w**4. Solve d(p) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.63, -0.67, -2\/11, -5?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496199*p + 37638 = -495461*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -0.005895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100201 (base 3) to base 2.\nAnswer: -110001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-23))\/a**(-21))**(-30) assuming a is positive.\nAnswer: a**(-1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0*m + 1 + 0*m**2 + 1\/3*m**3. Let i(j) = 4*j**2. Give i(n(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-992)*-62*4*2\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -12*b - 47. Calculate the common denominator of 137\/(-12) + 3\/b and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 265260 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -28. Let m(r) = -489*r**3 - 4*r**2 - 3*r - 2. Let u be m(s). What is u rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**4 + m**3 - 3*m**2 - 243*m. Let k(z) = 9*z**4 - 3*z**3 + 7*z**2 + 487*z. Let l(t) = 5*k(t) + 11*r(t). Find the third derivative of l(w) wrt w.\nAnswer: 24*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5935 - -172133\/29. Find the common denominator of u and -7\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753, 1615, 2481, 3351, 4225, 5103?\nAnswer: 5985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:47 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-44))\/(25317\/61886)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*h + 5*h. Let v = h + 12. Let x = v - -14. Solve -3*a + x = -13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1329*c**2 + 6646*c + 19. What is f(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*o - 5*p - 20, -2*o - 2*p = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, 1, 4, 5, 2, -5803.\nAnswer: -5803, -4, 1, 2, 4, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003456 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*w = -421*w - 33. What is the highest common factor of 2519 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 780 = 639 - 2726 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a + 1. Let u(y) = -57*y**2 - 3*y. Calculate n(u(d)).\nAnswer: -855*d**2 - 45*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-25) - -10*(-20)\/(-250)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*j - j - 4*j)*(2 + 1 - 4)*(15*j + 149*j + 123*j - 79*j) as l + q*j**2 + f*j and give q.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*p = -6, 7*p = -2*n + 5*p + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4 + 3\/(-2). Let w(u) = u**3 - 2*u**2 - 1. List the prime factors of w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - (4 - -8)\/4. Let g(a) = 5*a - 7. Let q be g(u). What is the units digit of (-7 + 3)\/((-2)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -59 + 9. Sort r, 0, 4, 2 in descending order.\nAnswer: 4, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1316 - 1ac2?\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/12 - 55*r**4\/6 + 33*r**2\/2 - r - 297. Let m(g) be the second derivative of c(g). What is s in m(s) = 0?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**2 + 19*z**2 + 78*z**2 + (2*z + 0 + 0)*(-2*z + 0*z + 3*z) + 17 - 12*z**2 - 17.\nAnswer: 80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 3. Let m(q) be the second derivative of 0*q**3 - 5*q**2 + 0 - q - 4\/3*q**4. Let r be 5 + (-4 - -2) + (-1)\/1. Determine r*m(d) + 7*f(d).\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 2*o - 3. Let i be d(2). Let z = -8 + i. Let y = z + -2. Solve 5*m = -4*v + 10, -y = -4*v - 2*m + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2990 = -2*a, -61*m = -65*m + 4*a + 11940. What is the greatest common factor of m and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 35, 49, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*u + 1193 + 389 + 162 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30985 divided by 8\nAnswer: -30985\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-10)*v*v\/((((v*v**(-1\/2)*v)\/v)\/v)\/v)*v)\/(v**16*v**(1\/25)) assuming v is positive.\nAnswer: v**(-1027\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1343*u = -1410*u + 1036281 + 371992. What are the prime factors of u?\nAnswer: 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f - f)*(5*f**3 - 3*f**2 + 3*f**2) - 3*f**4 + 2*f**4 + 4*f**4 to n*f**4 + z*f**3 + i*f + r + g*f**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 3. What is the remainder when f(-4) is divided by 1 + -2 + (6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122430593 at most -857014160\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 317*f**5 + 2724*f?\nAnswer: 6340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006063494?\nAnswer: 2, 3, 41, 131, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*a = 292*a - 289 + 1086 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4120435.\nAnswer: 5, 11, 19, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(240))\/(sqrt(405)*-1) + 2.\nAnswer: -8*sqrt(3)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412.93 * 17.\nAnswer: -7019.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + g - 6. Let f(k) = -5*k**2 + 3*k - 17. What is 4*f(o) - 11*r(o)?\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 73*r + 21*r + 1 + 16*r + 5*r. What is the tens digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 11625.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314.98 - 67.92. What is m rounded to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 12. Suppose 0*f - h*f = -48. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/120 + m**5\/15 + m**3\/2 + 2*m**2. What is the units digit of n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*b + 78*u - 79*u, 4*b = 2*u + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 136*m - 48. Let i be l(28). What is the greatest common factor of i and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i - 5*f + 620 = 0, 0 = -2*i - f + 316. Calculate the lowest common multiple of 40 and i.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62053 (base 7) in base 9?\nAnswer: 22671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 649 + 1406 - 517 = 0. Calculate the lowest common multiple of f and 3176.\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1377081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110 (base 2) to base 7.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + (-68)\/(-3). Suppose -3*v - 5*l + 3 = -f, v - 13 = -4*l. Suppose -v*n - 67 = -237. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 50. Calculate the remainder when 465\/9 - (-2)\/6 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 6 + 6 - 12*o + (-56*o - 25*o - 26*o)*(-3 - 2 + 2) + 0 - 2*o + 0.\nAnswer: 307*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**3 - 4*y**2 + 4*y + 14. What are the prime factors of j(-4)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m)\/((m**(-9)\/m*m*m)\/m)*m**(4\/5)\/(m\/(m\/(m\/(m**(2\/23)\/m))*m)))**28 assuming m is positive.\nAnswer: m**(47936\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(217328\/2941) + 6\/32?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 22470?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 + 4744*s**4 - 347528*s**3 - 1442192*s**2 - 1822844*s - 732920 = 0 for s.\nAnswer: -1255, -2, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = 4*v. Let u be 2\/6 + 1\/(-3). Let q = -2 + 4. Sort q, u, v in decreasing order.\nAnswer: q, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/m*m*m**(-1))\/((m*m**(3\/2)*m*m*m*m)\/m**(-7)) assuming m is positive.\nAnswer: m**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 14) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-28))\/(-1*(722\/238 - 3)) and -15\/22954?\nAnswer: 183632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3266*p - 65496. What is l(20)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-225)\/2*1320\/(-550). Suppose -133*d = -148*d + i. Suppose -2*y = b - 47, -7*b + 2*b = 3*y - 81. Calculate the smallest common multiple of d and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3 - 6906*h**2 + 34789 wrt h?\nAnswer: 3*h**2 - 13812*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6319, -8, -3 in descending order.\nAnswer: -3, -8, -6319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-175)\/20))\/(2\/(-7)). Let o(g) = -g**3 + g - 1. Let q be o(0). Let a be q\/t - (-5)\/((-30)\/3). Which is smaller: a or 1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-4)\/(-18)*(-912)\/608\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629432240 to the nearest integer?\nAnswer: 25088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9636274, 9636281, 9636288, 9636295?\nAnswer: 9636302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - m**4 + 2*m**4 + (-2*m + m + 2*m)*(6*m**3 + 175 - 175) + (-2*m**2 + m - m)*(-6*m**2 - 7*m**2 + 4*m**2) + (-4*m**3 + 3*m**3 + 2*m**3)*(1 - 1 - 2*m).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 763000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2462 - -2349. Sort i, 3, -2\/9 in descending order.\nAnswer: 3, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (-4 - -2)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47069, 115087, 183091, 251075, 319033, 386959?\n\"Answer: -i**3 - i**2 + 68028*i - 20957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*s = -8970, 8986 = -4*u + 6*u - s. Suppose 0 = 1135*i - 1140*i + u. What are the prime factors of i?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/1*-2*-2*2\/56. Put 3\/31, w, 8\/3, 5 in descending order.\nAnswer: 5, 8\/3, 3\/31, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*l - 128 - 1231 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108245*c**2*o**3 - c**2*o**2 + c**2 + 2*o**2 - 85*o - 138 wrt o?\nAnswer: 649470*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 32*r + 236 + 235 - 700 + 224. Determine y(3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h - 4. Let b be l(-3). Suppose 2*q - 2*t - 8 = 0, -4*q - 5*t + 24 = -t. Put 0, q, b in decreasing order.\nAnswer: q, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/19519 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 7, 4, -44 in increasing order.\nAnswer: -44, -1, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -13396\nAnswer: 1\/3349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 13. Let d(f) = f**3 - 32. Let v be d(k). Let n = 228\/7 + v. What is the nearest to -2\/5 in -0.5, -2, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341701699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(-2\/5)))**(-2\/53))**(-6)*((g*g**(-1\/5))\/g)\/g*g**(-4\/3)*(g\/g**(-1))**(-3\/20) assuming g is positive.\nAnswer: g**(-5009\/1590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*t - 422 = -129, 235 = 4*p + 3*t. Find the second derivative of 31*l + 31*l + 0*l + p*l - 2*l**2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 111110212021002?\nAnswer: -111110212021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29*5*(-99)\/(-270) + 3\/(-18). Which is smaller: 59 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256194115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.372 + -2.472. Which is greater: -1\/750 or d?\nAnswer: -1\/750","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -191703 by 63901.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -5 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 8128 and 25148.55.\nAnswer: 33276.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003942498 to six decimal places.\nAnswer: -0.000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -59. Suppose 5*v + 40 + 34 = 4*i, -i + c = 3*v. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 140, 6498 in decreasing order.\nAnswer: 6498, 140, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s**3 + s + 10. Let g(t) = -9*t**3 - 11. Let v(p) = 6*b(p) + 5*g(p). Let c(d) be the first derivative of v(d). Differentiate c(n) with respect to n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1 + sqrt(1573))*-6)**2*-1*-5 - (4*(-2*sqrt(1573)*1 + 5))**2).\nAnswer: -911240 + 2200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or -949\/547?\nAnswer: -949\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 + -1432560464673.\nAnswer: -1432560464842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)*(0 + -2). Let a(f) = f + 5. Let t be a(-3). What are the prime factors of (-1)\/y*24*t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) 968112 (c) 0.4 (d) 0.5 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and 4162497.\nAnswer: -19979985.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 1 + 0*x + x. Let i be o(2). Let r = -4 + i. Calculate the least common multiple of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4001.88 + -117.38. Round w to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 7 + 82*g - 6 - 11*g**2 as m*g**2 + u + k*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1806*l - 1351. Is z(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -b. Find the third derivative of -3*k**2 - 2*k**2 + 4*k**2 - 2*k**3 + 0*k**b wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/25 - (-741)\/(-65). Let k = 6 + -31. Let t = p - k. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from aawaaaaaaw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 5 (c) 3201.191 (d) -0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 62*w**2 - 3585*w - 222379. Give i(-61).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 4. Let j = -286030 - -5149967\/18. Let t = -159\/2 + j. Which is the third biggest value? (a) q (b) t (c) 0 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + m + 2816 = 0, -3*m - 734 = -4*n + 1521. Is 62 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c1a9 (base 13) to base 6\nAnswer: 2224055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/1 + 29\/1 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 16*t + 5. Let p = 443 - 450. Give h(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 201046560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbipibi. Give prob of picking 1 i and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 9 - (50 - 37).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - 1288\/112 - 6\/4. Find c such that 37\/5*c**2 + 47\/5*c**3 - 9*c**4 + 9\/5*c**x - 52\/5*c + 12\/5 = 0.\nAnswer: -1, 1\/3, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2*g**3\/3 - 3*g**2 - g. Let u = 73613 + -73620. Let c(z) = 2*z + 3. Give u*c(f) - 4*p(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33421314.\nAnswer: 2, 3, 41, 135859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) -0.2 (c) 149 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -27, -35, -37, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = -5*x, 2*x = 2*g + 5 - 15. Solve 0*t = 5*t - g*w - 21, 4*t + 12 = -4*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*k - 3*k**4 - 3 + 9*k**2 - 7*k**2 to the form s*k + a + r*k**2 + x*k**4 + p*k**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6710*t**2 - 3349*t**2 - 3341*t**2.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2613 + 7786. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/23*((-146452)\/(-57))\/47*2\/16\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 5. Let j be w(-6). Let s = 5 + j. Put s, -4, -1 in ascending order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Suppose -8*b = -9*b + 4. Suppose -v = v + b*c + 10, v - 2*c = 3. What is n(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -8, 0 in decreasing order.\nAnswer: 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.087 + 0.838. Let g = q - 0.9. Let f = -0.075 - g. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t. Let g(w) = -2*w + w + 207*w**2 - 206*w**2. Let i(v) = g(v) - n(v). What is i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.650948 micrometers in centimeters?\nAnswer: 0.0008650948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 3*i**4 + 3*i**4)*(-i + 2 - 2 + (2 + 1 - 5)*(-4*i - 3*i + 5*i) - 3*i + 0*i + i).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*h - 12 = -2*h, 0 = -z + 3*h + 3. Find the third derivative of -u - 103*u**4 - 15*u**2 + 287*u**z - 137*u**3 - 150*u**3 wrt u.\nAnswer: -2472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 85\/5 + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5416 + 202?\nAnswer: -5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*j - 26, 3*j = -2*s + 8 - 10. Solve -3*p + 13 - j = -k, 4*p + 2 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 5:14 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6551 = 7402. Calculate the least common multiple of z and 69.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + 0*c**2 + 3*c**2 + 0*c**2 - 4*c**2 to g*c**2 + f + t*c and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 400, 464, 518, 568, 620, 680, 754?\n\"Answer: v**3 - 11*v**2 + 90*v + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2619 - 2619 - 6*v**2 - v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2307, -3315, -4307, -5271, -6195?\nAnswer: -7067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 7. Let r be g(-5). Let x be r*((-15)\/(-2))\/3. Let l = x - -5. Sort 1, -4, l in decreasing order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -v - v + 2*r, 3*r = v. Suppose d = -2*d - 18. Does 3 divide ((-20)\/d)\/(v\/(-90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -274?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.39 - 23.29. Which is the closest to 41? (a) 2 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q - 8. Let v be l(-6). Suppose 5*m + c + 11 = 0, -3*c - 30 = -m - 29. Is v + (112\/(-1))\/m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, q: 2, i: 7}. What is prob of sequence qn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 0. Let m = 4.1 - 0.1. Sort 0.1, m, n in decreasing order.\nAnswer: m, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1979*s**2 - 1980*s**2 + 0*s**3 + s**3 - 10*s to r*s**3 + i*s + x + g*s**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 0.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4555935 and 5480?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q**2. Let p(b) = 14*b - 8. Let f(z) = -9*z + 5. Let d(t) = 8*f(t) + 5*p(t). Give d(j(x)).\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/96 - 119\/(-6). Let p = 35 - x. Suppose p = -3*s - 4*w, 4*s + 0*s = -3*w - 13. What is the smallest value in 0.2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34117183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 5857.612 and -0.06.\nAnswer: 5857.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.676257 months to centuries.\nAnswer: 0.0055635475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313 - 973 = -68*i - 531 - 191 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -0.07 (c) -3 (d) 3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31331783 + -11\nAnswer: 31331772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -232\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -198.052068 * -1\nAnswer: 198.052068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 41*y - 488. What is g(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/7 (c) -6 (d) 230 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 6. Let z be 2 + (3 - (-1 - -1)). Let q be f(z). Let c(s) = 4*s**2 + s. List the prime factors of c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 63, 136, 255, 432, 679?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 59345904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67 and 20821?\nAnswer: 20754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Suppose 6 = -3*s - 0*s, p - 7 = s. Suppose 2*t - 12 = p*t. Give c(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 650009 or 8450124\/13?\nAnswer: 650009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 0. Suppose g = -4*w + 1032 + 692. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 1831 + 1794 - 3625.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-16 - 1 - -6 - -28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -741*k**5 - 30*k**4 + 1364*k**2 - 6*k. Let v(c) = -c**5 - 5*c**4 - c**2 - c. Let u(j) = o(j) - 6*v(j). Find the third derivative of u(r) wrt r.\nAnswer: -44100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, s: 5}. What is prob of picking 2 a?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**3 + p**2\/2 - p + 1. List the prime factors of d(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -525, -521, -505, -471, -413, -325, -201, -35?\n\"Answer: r**3 - 3*r - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 13\/3, 1, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, h: 4, q: 2, g: 1, r: 2}. Give prob of picking 1 b, 1 q, and 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94601 and 103493.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, n: 16}. What is prob of picking 3 x?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(4 + sqrt(425)))**2 - sqrt(425)*-1*-6*-6.\nAnswer: 600*sqrt(17) + 4021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110\/4*(180\/50 + -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 62*h**2 - 77*h + 78. List the prime factors of q(35).\nAnswer: 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 33950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 - 32\/(-16). Suppose 4*g - 2*j + 3*j - 1445 = m, 2*g = 3*j + 705. Suppose 0 = -4*s + x + g, 2*x = -s + 4*s - 275. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2983.\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 5*y + 5738 - 5742. Let f = -16 - -10. Let h(l) = 8*l + l - 3*l - 3. Give f*h(j) + 5*q(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764)*-1 + sqrt(1764))\/(sqrt(448)\/sqrt(4)))**2 + (-5 + -2*sqrt(252) + 2 + sqrt(7) + -3)**2.\nAnswer: 132*sqrt(7) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1215 and 1800.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 389 - 549. Let s = 270 + f. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2058) + (sqrt(2058) - (sqrt(2058) - (2*(sqrt(2058)*2 - sqrt(2058)) - sqrt(2058) - sqrt(2058)))))*-2)\/(-3*sqrt(864) + sqrt(486)*1).\nAnswer: 14*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (110955\/(-7020) + (-3)\/(-54)))\/((-2)\/(-184))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21363390234 and 4.\nAnswer: 21363390238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111144?\nAnswer: 2, 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k**(1\/6)\/k)**(-5\/9)*(k**(-1))**(-1\/15)\/(k*(k\/(k*k**0*k))\/k)**(-4\/3) assuming k is positive.\nAnswer: k**(-1369\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -59. Let y = 83 - 1246\/15. Which is the fourth smallest value? (a) y (b) q (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91400320 by -25966.\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5*30\/(-5))\/((-1)\/((-11)\/(-22)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 689, 743, 829, 953, 1121, 1339, 1613?\nAnswer: 1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 0*s + (-4 + 1 + 2)*(2 - 2*s - 2))*(3 - 3 + 2).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 138?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -165, -2012, 0 in increasing order.\nAnswer: -2012, -165, -36, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 + 0*o**3 + o**3)*(-2 + 10*o - 8 + 73).\nAnswer: -40*o**4 - 252*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2891*h - 310*h = 233673 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3871, -15510, -34919, -62104, -97071, -139826, -190375, -248724?\nAnswer: -314879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/(t*t**(4\/7)\/t*t*t)*t*t*t)\/t*t)\/t)\/(t\/t**(20\/9))*t**(-7)\/(t\/t**(-23)) assuming t is positive.\nAnswer: t**(-1723\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (8 + -6) - 7) + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*x = 144, x - 4 - 188 = -4*j. Calculate the greatest common factor of 228 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 2*o - 7. Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29378708 at least -29378703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 - 6*n**2 - 4*n + 9. List the prime factors of k(-5).\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 - 470*k**4 - 1105*k**3 + 13410*k**2 + 48600*k + 34560 = 0.\nAnswer: -4, -3, -1, 6, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*s + 7 - 5*s - 14*s)*((-8 + 3 + 2)*(s + 0*s + s) + 0 + 0 + 3*s).\nAnswer: -300*s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608)*2)\/(sqrt(2) - (sqrt(8)\/sqrt(4)*-3 + sqrt(2))) + (sqrt(1539) + 1)*6 + 4)*-4.\nAnswer: -680*sqrt(19)\/3 - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let c(z) = 2*z - 11. Calculate 44*a(i) + 4*c(i).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 14*t = -36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1300) - (sqrt(13) + sqrt(104)\/sqrt(200)).\nAnswer: 94*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 5*x + 5, -4 = 4*y + x + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 161.8 times -0.286\nAnswer: -46.2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - 2*f + 2*f)*(0*f + f + f) + (-f - 1 + 1)*(f**2 + 1 - 1) to j*f**3 + k*f + n + o*f**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 731601989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*r - 8 = 0, -3*r + 2*r + 3 = 0. What is the second derivative of n - u*n - 11*n**2 + 8*n - 7*n wrt n?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3630086648 to the nearest integer?\nAnswer: 60250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3156*c + 3152*c - 6*j - 38, 6 = -3*c - 2*j - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 11.93. Which is the smallest value? (a) -0.1 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66092 and 9761280.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:37 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/12)\/((-3)\/(-4)). Solve x = -3*d, -d - 5 = 5*f + 4*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -47*k**3 + 1739*k**2 + k + 398. Determine i(37).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2640 + 2639. Suppose -3*w = -4*w + 78. Let h be (l\/3)\/(143\/w). Which is the smallest value? (a) 4 (b) 0.2 (c) h (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1*(-12)\/(-21)*7 and 1223.\nAnswer: 4892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257\/4 - -2317\/36. Let x = 528 + -246. Find the common denominator of (x\/(-40))\/(15\/(-20)) and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3206648, 3206650, 3206652, 3206654, 3206656?\nAnswer: 3206658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15) - -4)*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -346 - -347. Is i*(478 - (6 - -1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*h - 320, -u - 111 - 81 = -3*h. What is the greatest common factor of 160 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809004 is divided by 856.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 + 11*i)*(0 + 2 + 0 + i) to q + s*i + b*i**2 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127215 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, j: 1, b: 1, z: 3, o: 1}. What is prob of picking 1 s, 2 o, and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.75*-8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 280 - 73 = -5*t, -g = 5*t - 341. Suppose -y + t = -24. List the prime factors of y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-959392)\/42*15\/(-10).\nAnswer: 2, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -175*p**2 + 3670*p + 111. Give h(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6022 - 20548. Suppose -4*d + 190 = -n. Suppose d = 5*q - 279. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 109142, 109165, 109204, 109259?\n\"Answer: 8*q**2 - q + 109135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p - 8. Calculate the remainder when b(-7) is divided by (-2)\/(((-4)\/26)\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7204 and 349107641?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040239148 rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36377984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/(-1)*97602\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d + 12 = 0. Let r(g) = -5*g**2 + 9*g + 5. Let o(w) = -w**2 + w + 1. Let h(y) = -6*o(y) + r(y). What is the units digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-3)*93\/62. Let k(b) = b**2 - 6*b + 6. Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2 - -3 - -4. Suppose -f*y - 6 = -3*y. Is (-82)\/(-3) + y\/18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1331) + 2 + (sqrt(1331) + sqrt(1331)*-2 + -1)**2.\nAnswer: 33*sqrt(11) + 1334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*b + 27. Let k be b\/5 + 9\/(-45). Solve -n + 4*l + k = 2*n, -3*l = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 67114850.\nAnswer: 6711485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*q**4 - 22559*g**3*q**3 + 2*g**3*q + 2*g**2*q**2 - 79414*g**2*q wrt q.\nAnswer: -24*g**3*q - 135354*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1199, 1423, 1637, 1835, 2011, 2159, 2273?\n\"Answer: -p**3 + p**2 + 228*p + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 1.2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -726*o**3*p**4 + 146*o**3 - 9*o**2*p**2 - 2*o*p**2 - 6*o*p + 48*p**5 + 3*p wrt p?\nAnswer: -17424*o**3*p + 2880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78763*f**2*y**3 - 27*f*y**3 - f*y + 313*f wrt f?\nAnswer: 157526*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 211570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000718 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(sqrt(192) + 2))*-4.\nAnswer: -160*sqrt(3) - 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-78)\/15)\/(2\/(-20)). Let g = o - 40. Solve -4*a - 9 = -0*a + u, a = 3*u - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/((-24)\/64).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -24. Let b = -48 - -43. What is the closest to 1 in y, 4, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14706*w**6 - 203*w**2 - 35*w wrt w.\nAnswer: 1764720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/18*(-60)\/(-315). Let v be (-15)\/6 - (1 + -5). What is the nearest to 0.1 in f, v, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633381 by -3.\nAnswer: 211127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from aqhqlfb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 2*t - 180588*h + 180593*h, -5*h = 3*t + 47 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3446*p - 736*p + 716*p + 128242 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 973804939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 - 10?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*d = -469*d - 2*w - 2 - 0 - 14, -5*w - 60 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7755 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13051.54559 and 5.\nAnswer: -13046.54559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011110010111 (base 2) in base 15?\nAnswer: 1c420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -218*j + 111*j + 103*j. Let l(b) = -11*b. Give y(l(s)).\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 226518713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -338 and 2760.\nAnswer: -932880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 9:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(266))\/sqrt(7))\/(sqrt(14)\/sqrt(112) + sqrt(2)) + 2.\nAnswer: 2 + 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + 0 + 1 - (178 - 177)) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17259, 69024, 155297, 276078, 431367?\nAnswer: 621164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o**2 - 2*o - 1. Suppose -a + 2 = -0*a. Suppose k - a = -0*k. What is the remainder when i(k) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 14 - 90*r + 88*r + 21.\nAnswer: -2*r + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-126)\/48)\/(-7))\/(3\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -2730, -4348?\nAnswer: -5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:27 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-1)**2*6 - ((sqrt(180) - (sqrt(180) + sqrt(180)*-3) - sqrt(5)) + sqrt(5) + -4*sqrt(20))**2) + -4.\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2135*v**3 - 4*v. Let x(a) = -2134*a**3 - 3*a. Give 3*c(o) - 4*x(o).\nAnswer: 2131*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c. Let h(u) = 30152*u**2. Give s(h(y)).\nAnswer: -150760*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462211\/13 + -35469. Let d = o - 14135\/156. What is the common denominator of -19\/20 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u. Let k(q) be the third derivative of q**5\/120 + q**3\/3 - 2*q**2. Let c(o) be the first derivative of k(o). What is b(c(f))?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*z - 8. Suppose -4*k - 16 = -2*g - 0*k, 0 = -g + k + z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*2603\nAnswer: -260.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2589 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1080*-2*2\/10. Calculate the greatest common divisor of y and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1001625?\nAnswer: 1001621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(704) + sqrt(704) + 1*(0 + sqrt(704)) - sqrt(704))*-4)**2 - (sqrt(704)*-2*-5 + 6*((sqrt(704)*-3)**2 + sqrt(704))).\nAnswer: -128*sqrt(11) + 7036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8673, 4, 3 in descending order.\nAnswer: 8673, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 2 = 5*p + a, -3*a = 3*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27.8 (b) -1\/11 (c) 0.2 (d) 112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -125\/3141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 1\/9, 2893.675?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/10*(-15)\/6. Solve -g - 8 = c, 4*g + h - 4 = 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83 and 73.\nAnswer: -6059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 2*l = -11310. Suppose -7*v = -13*v + l. Calculate the greatest common divisor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.463324 rounded to 2 dps?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 - -0.2889. Round o to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -114\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from {k: 2, f: 2, q: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maaombmbmbabmbb. Give prob of picking 2 a and 1 b.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447020\/27 - -3046687\/216. Let t = o - -2451. Calculate the common denominator of t and -5\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 2418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 1) + 10\/(-10). Solve p = -0*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235425 by -5475.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 - r**2 + 2*r + 45. What is h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 4*f**4 + 2*f**4 + 10*f**4 + 65*f**4 - 16*f**4 + 4*f**4 - 4*f**4 + f**4 + (-2*f**2 + 0 + 0)*(2*f + 2*f**2 - 2*f) + 4*f**4 + f**4 - 3*f**4.\nAnswer: 54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -0.271335\nAnswer: -0.471335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 1010?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4175 greater than or equal to -4176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.75 + 289982.5.\nAnswer: 289984.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 625315 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*i = 49, -5*i + 196 = 4*f - 4*i. Let g be (1 - 2)\/(-3 - -2). Let r be 1\/(g\/7*1). What is the greatest common divisor of r and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) + sqrt(17) - sqrt(17) - sqrt(17))**2 + 0 + -2 + 3.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*p = 734, -4*p = -3*a + 8*a - 3734. What is the third biggest value in -0.4, a, -4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2201?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 98 + 218?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 13*z - 5. Let v be (-77)\/(-55) + 6\/10. Let m(c) = -c**2 - 3*c - 1. Calculate v*j(d) - 9*m(d).\nAnswer: -d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/2 + (-22)\/8. What is the closest to 1 in f, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 3. Let w = -2 + r. Is w equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 810, 808, 808, 810, 814?\n\"Answer: g**2 - 5*g + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 33*f**2 + 39*f - 7. What is the tens digit of z(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 184, 183, 182, 181, 180, 179?\n\"Answer: -k + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2444 and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1601)\/7 - (-10)\/(-35). Let t = r + 434. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1)*3*-3.\nAnswer: -36*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-6))**(-3\/10)*(k**(-1\/6)*k**(1\/2)*k)\/(((k\/k**1)\/k)\/k*k)**(-6\/23) assuming k is positive.\nAnswer: k**(533\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387050718.\nAnswer: 2, 13, 6091, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 8*y + 6. Let t be g(-8). Let c = t + -5. What is the derivative of 1 - d**4 - 2 + 0 - c wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*h**4 - 2*h**4 + 241*h**2 - 765*h**3 + 527*h**3 wrt h?\nAnswer: -48*h - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128770393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:03 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:21 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6*o = -2*o - 1695370, 4*o - 2543065 = -3*d. Suppose 33747695 = 7*i + d. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a6a7 + 750?\nAnswer: b237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.67849l to millilitres.\nAnswer: 73678.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*p + 1033*p - 62874 = 26331 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663332 (base 8) in base 5?\nAnswer: 24113223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87223110 and 5530.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 48 = 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1. Let j(i) = i**3 + 6*i**2 + 3*i + 1. Let o(w) = j(w) + 2*p(w). Let d be o(-3). Solve -3*l = -0*m - m - d, -3*m + 2*l = 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -37 - 39. Let w(q) = 8*q + 11. Let m be w(-7). Let t = f + m. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3003 = 35*x. Is -100 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104, 208, 314, 422, 532, 644, 758?\n\"Answer: l**2 + 101*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 171 = -6*s. Let y = -11 + s. Solve -3*d + y = 4*p, 2*d + 20 = 7*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27, -75\/23, -1 in decreasing order.\nAnswer: 2\/27, -1, -75\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001154171 to 7 dps.\nAnswer: 0.0001154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let r(g) = 14*g**2 + 3*g + 7. Give r(z(o)).\nAnswer: 56*o**4 + 6*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3392043, 6784085, 10176127, 13568169, 16960211, 20352253?\nAnswer: 23744295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = i + 5, -45 = -i + 4*b - 20. Suppose 3*g - 3*z = -6*z + 519, 4*g + i*z - 687 = 0. List the prime factors of g.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/(-30)*-5. Let m = 71 + -285\/4. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 0.4. What is the closest to q in 0.1, -1\/7, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8602\/9 + 948. Let p(a) = a - 2. Let s be p(3). Calculate the common denominator of k and 1 + s - (-159)\/(-30).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-107)\/(-33))\/(-11 + (-1629)\/(-27)) and 83\/148?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w. Let y be l(-4). Let o = -1237 - -1273. What is the greatest common factor of y and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 3*s + 9. Let q be g(6). What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(2*(-3)\/6). Let u = 8 - h. Let o(q) = -u - 2*q + 1 + 2. Let v(s) = s. Give v(o(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 divided by -5.\nAnswer: 694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 - -1) + (5 - 3). Suppose w = 6*n - 19. Solve 8 = 5*b - n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4294737 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4) + 4 + -3 + 1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 155*m**3 + 26*m**4 + 343*m**3 + 2 - 186*m**3 to the form c*m**2 + d + r*m + v*m**3 + k*m**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -47*x**2 + 40*x**3 - 403*x**2 - 97 - x**4 + 15. Factor u(w).\nAnswer: -4*w*(w - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**9*x)*x**(-1\/4)*((x**0\/x)\/x)**16 assuming x is positive.\nAnswer: x**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*g - 32, 4*j - 2*j + 2*g = 16. Let a = -8 + j. Solve 3*h + n = -a*n - 14, -2*h + 3*n = 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (288\/(-206))\/(-2) + (-2405)\/130 + 18 and 65\/2163?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 44*k**4 + 1400*k**3 + 4168*k**2 - 72820*k - 278300 = 0. What is k?\nAnswer: -23, -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 92*k - 6. Let c(g) = -g**2 - 43. Calculate h(c(b)).\nAnswer: -92*b**2 - 3962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(-8*l + 113 + 52 - 85).\nAnswer: 8*l**2 - 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.4 - 11. Let m = -1.18 + 0.78. Let s = m + g. Which is the fourth smallest value? (a) 0.4 (b) -2 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*l - 535962 - 589554. Is 81 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-335)\/134)\/((341\/(-62) + 2\/4)\/(-84))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167684*w**3 - 167687*w**3 + 335372*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31738940 rounded to the nearest 100000?\nAnswer: -31700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63100 by 4.\nAnswer: -15775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 1858.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/(v*v**9)*v)\/v)\/v))**(9\/8) assuming v is positive.\nAnswer: v**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(30)\/sqrt(40)))\/(5*(sqrt(9) - (sqrt(1296)*2 - sqrt(1296)))).\nAnswer: -2*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.4, 26, 4, 0.1169 in descending order.\nAnswer: 26, 4, 0.1169, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*a + 631*a + 630*a - 2517*a + 628*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -21659 (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (26 - (15 - -10)) - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 787217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c + 3. Let q be n(5). Suppose q = -k - 2*a + 5*a, 0 = -5*k - a - 15. What is the units digit of (-84)\/(1 + -4) + k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuiiififzifffzfiziix. What is prob of picking 1 z and 2 i?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 + 65*c**2 + 146*c + 1?\nAnswer: 24*c**2 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11110220221 (base 3) to base 2\nAnswer: -10101100001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 16164.\nAnswer: 32328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -24. Suppose j = 4*v - 9. Solve -5*z = -3*t + 1, t + v = 3*z - 2*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130768*k - 43585*k - 43610*k - 43581*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + 5 + 13*x**2 - 1 - 8*x**2 to the form h + i*x**2 + b*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, 1 u, and 1 h when four letters picked without replacement from psdushu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let c(p) = p**2 + 3*p**2 - 2*p + 3 - p. Let n(u) = -8*u**2 + 7*u**2 - 2 - 2*u**2 - 3*u + 5*u. Let z(r) = -2*c(r) - 3*n(r). Determine z(v(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 7. Let z(n) = -2*n - 3. Let b(q) = q - 1. Let x be b(-1). Let t(r) = x*s(r) + 5*z(r). Differentiate t(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(13) + 1)**2 + 5 - ((sqrt(78) - (sqrt(78) - sqrt(78)*-1))\/sqrt(6) - sqrt(13))**2*1*5.\nAnswer: -238 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/193354 and 25\/378084?\nAnswer: 745959732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*v**3*z + p*v**3 + 148*p*v**2*z + 2*p*v + 3*v wrt z.\nAnswer: -p*v**3 + 148*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(((-77)\/44)\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21 = -6. Let d(o) = 3*o**2 + 5*o - 7. Is d(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34875 * 3\nAnswer: 104625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1) + -2 + -7 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 35.25, 1 in increasing order.\nAnswer: -0.5, 1, 35.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182715502.\nAnswer: 2, 163, 560477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200418 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(8*j - 7*j + 12*j) to the form y + l*j and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (11 + 0)*10\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y + 35 = 5*j + 22*y, 4*j = y + 17. Solve 1 = -5*n + 4*u - 8, 5*u = -j*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8372 and 98114.003?\nAnswer: 89742.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 20. Suppose t = -2*t. Suppose 0 = -4*q - 4*n + 20, -q = 2*n - 5 - t. What is the greatest common factor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/44*4 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733224?\nAnswer: 2, 216653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 296, 602, 908?\n\"Answer: 306*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -51, -75, -97, -117?\n\"Answer: l**2 - 29*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:28 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -57 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250*g + 250*g - 87*g**2 - 2*g**2 + g**2 + 0*g**2 + (-g**2 + 0*g + 0*g)*(3 + 0 - 1) + g**2 + g**2 + 0*g**2 + 1 - 1 - 4*g**2.\nAnswer: -92*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and ((-69)\/(-4))\/(40\/320)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 + 33*h**4 + 111*h**3 + 135*h**2 + 54*h.\nAnswer: 3*h*(h + 1)**2*(h + 3)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-16 + 16 - 11*l**3)*(-3 - 59 + 10) - 3*l**3 - 2*l**3 + 6*l**3.\nAnswer: -1143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -h - 3*q, 2*q = -0*h + h - 101. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - (-31 - -42).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -511 in -0.8, -3\/5, 4, 7?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 264 and -6839 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 40*o - 4. List the prime factors of j(3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/19)*a*a**(-3)\/a*(a**(-2\/3)*a)**(7\/3) assuming a is positive.\nAnswer: a**(-362\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(104)\/(sqrt(8) - (sqrt(8) - sqrt(32))) - (-1*sqrt(13) - sqrt(13))*5)**2 + 5 - (sqrt(78)\/(-4*sqrt(6)) + -1 + sqrt(52)\/sqrt(4) + 1).\nAnswer: -3*sqrt(13)\/4 + 5749\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 615604 and 6463842.\nAnswer: 12927684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 51*u**2 - 413*u + 110. Determine p(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371615 by 6.\nAnswer: -371615\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.39 + 16.5. Let v = w - -1.88742. Round v to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 18. Let r be d(-5). Put 2, 4, 3, r in increasing order.\nAnswer: r, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 23268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let z be t(2). Let j = z + 3. Sort 4, j, 0 in decreasing order.\nAnswer: j, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -5. Let v(x) = x**3 - 6*x**2 - 3*x + 6. Let f be v(j). Let h = f - 24. Solve -h = 3*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, o: 2, a: 2, v: 2, p: 1}. Give prob of sequence pa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 41 times -5771.834\nAnswer: -236645.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -19*j**3 - j**2 + 3*j - 2. Let d be x(1). Let t = d + 26. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534691?\nAnswer: 151, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9 + 399\/9. Suppose 3*k = x + 33, 3*x + 2*k + y = -0*x. Let s = x - -31. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)**36\/(l**4\/((l*(l\/(l\/(l**(2\/25)\/l*l*l)))\/l*l*l)\/l*l)) assuming l is positive.\nAnswer: l**(877\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-54))\/(3\/18)*(-10 + 9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -956, -955, -954, -953?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 54 + 4238*k + 5516*k - k**2.\nAnswer: -k**2 + 9754*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 35*o + 315. Let m be (-1)\/((-4)\/(-9) + 25\/(-75)). Let c be x(m). Factor c - 1\/6*g**2 + 0*g - 1\/2*g**3 - 1\/6*g**5 - 1\/2*g**4.\nAnswer: -g**2*(g + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8063030 and -59\/9120?\nAnswer: 387025440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 32*a**3\/3 - 6*a**2 + 10*a + 156. Is 24 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*l - 8*l + 4*l)*((-1 + 1 + 2*l)*(-2 - 3 + 6) - 1 + 4*l + 1) to t*l**2 + a*l + w and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -120*p + 35. Let n(g) = -7*g + 2. Let s(q) = -10*q - 3*q + 15*q + 26 - 3*q. Let u be s(24). Give u*v(i) - 35*n(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/129231, -5\/84, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220731*z**2 - 26*z**3 - 220731*z**2 - z + 1 to the form t*z**3 + q*z**2 + d + y*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*r + 9 - 18 + 9 - 145*r as g + k*r and give k.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*c - 632*c + 747*c.\nAnswer: -393*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - 0.19. Which is the second smallest value? (a) p (b) -3\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4427917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -0*r + k + 10, 3*r + 3 = -3*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46904174*z**5 + 4*z**2 + 3221737.\nAnswer: -2814250440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -4, 341, 0.089, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l - 286. Let c(n) = -6*n + 134. Let g(o) = -3*b(o) - 7*c(o). Calculate g(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 30 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -20. Let k(h) = -h**2 + h - 6. Determine k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/5 - 178366*p**4\/5 - 1961798*p**3\/5 - 1248114*p**2\/5 + 26216568*p\/5 = 0. Calculate p.\nAnswer: -89172, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from {w: 3, s: 5, c: 3, x: 2, b: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -708 divided by -6\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4962372427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-35))\/((-52 + 33)\/285)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 67*x + 225. Give d(-7).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191, 1084, 901, 636, 283, -164?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 - 2*c**4*x - 8*c**4 + 2*c**2*x - 152*c + x wrt c.\nAnswer: 60*c**2 - 48*c*x - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -1801, -3236, -5027, -7168, -9653, -12476?\nAnswer: -15631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 6:01 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3) - 6 - (-28 - -29)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(396) + -2*sqrt(396) + sqrt(396))**2 + (sqrt(198)*-2 + sqrt(22) + sqrt(22))\/sqrt(2)) + -5.\nAnswer: -20*sqrt(11) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1904\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1732 + 1749. Calculate the remainder when n is divided by ((-3)\/(-2))\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3997 - 2339 + 9901 + 786*i**2 wrt i?\nAnswer: 1572*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/24 - w**2\/2 + w. Let n(u) be the first derivative of p(u). Let f(b) = 5*b**2. Give n(f(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/15 and 55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 27*f = -61*f + 427 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 - 10 - 6*h**3 + 0*h + 0*h wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 2}. What is prob of sequence did?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 180. Let f be o(29). Let g = f + 559. Let l = -42 + 62. Calculate the least common multiple of l and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10. Suppose -3*q - w - 1655 = v, -6*q + 2*w = -q + 2740. Round q to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20487 is divided by 366.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -114 + 135 + (-2 - 43)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, p: 4, g: 4, d: 2}. What is prob of picking 2 g and 1 p?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 0*w - 5*w + w - 1 + 1 + 10 + 4*w - 10 + (-2*w + 0*w + w)*(1 + 3 - 6).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0376 from -187057374.6.\nAnswer: -187057374.5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*h + 14 - 14)*(8 - 1 + 0) to the form u*h + q and give u.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpmr when four letters picked without replacement from dmrprriprdrr?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8352 and 947430?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 3)*(3*c**3 + 5*c**3 + 0*c**3) - 1 - 2*c**3 + 1)*(6 + 0 + 1).\nAnswer: -70*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3345, 6690, 10035, 13380, 16725, 20070?\n\"Answer: 3345*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 827, 490, -455, -2314, -5393, -9998, -16435, -25010?\n\"Answer: -51*a**3 + 2*a**2 + 14*a + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = -6. Solve 2*a = -v - 1, 3*v = q*a - a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 + 2255 = 68*y - 1847 + 1499 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -8)\/(-2) + -9. Let b(n) = -n - 21. Let p(v) = 1. Let w(u) = b(u) + 3*p(u). What is w(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 55, -539, -3, -4, 0 in increasing order.\nAnswer: -539, -4, -3, -2, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 4*q)*(-1 - 1 + 3).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21270247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u**2 - 47*u**2 + 22*u**2)*(u - 2*u + 2*u) + 6*u**3 - 5*u**3 + 12*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*g = -111 + 110, 5 = -l - 4*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 899 + -609. Suppose 95 = -l + j. Calculate the highest common factor of 39 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + -6 - (93 + -102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*w = -137*w + 48 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 7. Let b be p(-5). Suppose -t + 3*v = -5*t + 43, b*t - 29 = -3*v. Calculate the lowest common multiple of 3 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - 2*g**2 - 9*g + 15. What is the remainder when 203 is divided by c(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, n: 1, t: 6, c: 2, l: 3}. What is prob of picking 1 j and 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 554 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -8. Suppose c + 0 + 55 = 5*t, 0 = 5*t + 3*c - 35. Let x = t - 11. What is the nearest to x in -2, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1624 or 1373?\nAnswer: 1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/3 + 4*g**3 + 18*g**2 + 3*g. Let y(d) = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102, 326, 524, 546, 242, -538, -1944, -4126?\n\"Answer: -25*o**3 + 137*o**2 - 12*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24267\/77 + 3462\/11. Let x = 89\/2 + -46. What is the third biggest value in 0.3, x, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8363*o = -8151*o - 6148 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Let u(s) = -s - 2. Let n be u(-3). Suppose -4*x - 2*m - 3 - n = 0, 4*x + 5*m - 8 = 0. Put r, x, 4 in decreasing order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**5 + 11031*q**2 + 35*q**3 + 580690436*q**4 + 6*q**5 - 580690438*q**4 wrt q?\nAnswer: 660*q**2 - 48*q + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(133) - sqrt(133)) + sqrt(133))*4*6)\/(sqrt(448) - (-3*sqrt(448)*3 - sqrt(448)) - sqrt(448)).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/6 + 10*a. Let x(t) = -32*t**2. Calculate x(j(r)).\nAnswer: -128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 642631.\nAnswer: 14\/642631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 70788868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - p = -11, -1269*p + 1274*p = -4*q - 44 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (0 - (22 - 11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*16*(-4)\/8. Let u be 1\/4 + (-38)\/l. Let h be 1 + u + 0 + -3. Solve 4*r + p - 4*p - 16 = 0, -2*r + 14 = -h*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(896) + sqrt(56) + (-2*sqrt(280)\/sqrt(5) - sqrt(56) - sqrt(56)))\/((sqrt(48)*3*-6)\/sqrt(6)).\nAnswer: 7*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5531 + -1?\nAnswer: 5530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647756?\nAnswer: 2, 67, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -87*v - 12. Let i(p) = -35*p - 5. Calculate 5*f(s) - 12*i(s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*h**2 - 2 - 2*h**4 - 4*h**3 + 30*h**2)*(3*h + h - 2*h).\nAnswer: -4*h**5 - 8*h**4 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, k: 3, a: 5, w: 4}. Give prob of picking 2 a, 1 f, and 1 w.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6474 (base 9) to base 12\nAnswer: 2911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2956*l**3 + 27973*l**2*o - l*o - 8*l - 13*o - 6075 wrt l?\nAnswer: -17736*l + 55946*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -j - 10*q + 3469, 2*j - 4*q = 6914. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*w - 22*w - 5625. What is the greatest common divisor of 135 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29348 (base 12) to base 10\nAnswer: 57512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 672?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 100580331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2853*s - 2841*s = 264. What is the greatest common factor of s and 6446?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 67, 68, 79, 106, 155, 232, 343?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.891 plus -1221.2?\nAnswer: -1202.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -537*a**5\/5 - 22*a**3 - 697. Find the third derivative of n(z) wrt z.\nAnswer: -12888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960*w**4\/13 - 40558*w**3\/13 + 73430*w**2\/13 - 1952*w + 2464\/13 = 0. What is w?\nAnswer: -44, 1\/5, 7\/32, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 430, 408, 366, 298, 198, 60?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5161*t - 35. Let f be b(5). Does 43 divide (f\/(-24))\/(-5) - 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089 - 3509447.53.\nAnswer: -3509447.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -8. Let p = n + -2. Calculate the remainder when 15 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.6220635 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 divided by 13?\nAnswer: 726\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 3*o + 0*o + 17 + 13*o - 17 + (1 + 3 - 5)*(0*o + 3*o - 5*o) + 2*o - 4*o + 3*o to i*o + y and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 3 (c) -1 (d) 262.6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17546 or 17552?\nAnswer: 17552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 105 = w - 5*c, 4*w - 5*c - 406 = 0. Suppose -6*k = -17*k + w. Solve 4*r + k = -3*f + 4*f, -4 = -4*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9952909 and 462926?\nAnswer: 19905818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 15 - 12. Let b be (f\/2)\/(10\/(-120)). Solve b = -5*t + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-5) - (-46)\/10. Suppose -v*z + 5*l + 45 = -72, -5*z + 4*l = -153. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 - 31*a + 30. Let h be b(-6). Suppose -5*v - 16 = -v. Put -2, h, -5, v in descending order.\nAnswer: h, -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53587335455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -692 + 7.40934876.\nAnswer: -684.59065124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 13 = -2*n, 3 = -6*h + 3*h. Suppose 0 = 10*g - n*g - 210. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 6 - 12*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*l - 677 - 196 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2)*(2 - 4). Suppose v*f + f = 15. Suppose -5*o + 5 = -f. Solve -o*c + c = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 1, r: 1, z: 1, g: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = 2*c, i + 5*c - 35 = -4*i. Let w(v) = 5*v - 215. Calculate the lowest common multiple of w(44) and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + 462. Suppose 4*l - 260 = o. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-4180)\/66)*(-1)\/(-1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/131553 - -1286317\/2762613. Calculate the common denominator of v and 145\/12.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a99a7 (base 12) in base 5?\nAnswer: 222031311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and (-10)\/(7*(-32)\/11088).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -137*2*-2 - (26 - 25). Suppose 4*y - i = m + 169, -3*m + 166 = y. What is the remainder when y is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -574 + 365. Let p = s + 209.1. Which is the nearest to -3? (a) p (b) 1\/4 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5032\/612 + ((-16)\/(-18))\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 44 = c, 5123*c = 5127*c + 113*i - 888 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/((-24)\/(-9)))\/(9\/48). Find the second derivative of 8*p**3 + 14*p**3 - 27*p + i*p - 31*p wrt p.\nAnswer: 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592506 and 296253.\nAnswer: 592506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75)*1)\/sqrt(5))\/(sqrt(3) + sqrt(21)\/sqrt(112)))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - d = 128, 0*d - 4*d - 149 = -5*j. Suppose 5*t + 5*x - 40 = 0, -6*t + 4*t + 2*x = -28. What is the remainder when j is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzzzazzvspapzpppzpp. Give prob of sequence zps.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -819081 divided by 3\nAnswer: -273027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 46306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3062120 divided by 4?\nAnswer: -765530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 20 - 29 + 49.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 133, 444, 847, 1360, 2001, 2788, 3739, 4872?\n\"Answer: 3*i**3 + 28*i**2 + 206*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*w = 43, -3*h - 2*w = 3*w - 47. Let o(p) be the second derivative of 9\/7*p**3 + 14*p + 6\/7*p**2 + 6\/35*p**5 + 6\/7*p**h + 0. Factor o(r).\nAnswer: 6*(r + 2)*(2*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4282 in ascending order.\nAnswer: -4282, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 69*m**2 - 8303*m + 2756. Determine n(120).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3205*r. Let i(h) = -922*h + 7. What is i(b(k))?\nAnswer: 2955010*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.26319l?\nAnswer: 68263.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 9*t + 6*t + 4*t in the form w*t + h and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -260*h + 1305. What is m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4e3 (base 15) to base 14\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2839\/5670 - 2\/2835. Let x(r) be the first derivative of -11 + 0*r**2 + z*r - 1\/6*r**3. Factor x(w).\nAnswer: -(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + d**2 + 2 + (0 - 4 - 2)*(-d**2 + 3*d**2 - d**2)*(23 - 5 - 2 + (4 + 3 - 5)*(-1 - 5 + 4) + 2 - 3 + 2) in the form a*d + m*d**2 + n and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(104)\/(sqrt(8) - sqrt(32)))**2 - ((sqrt(78) - 2*sqrt(78))*3 + sqrt(78))\/sqrt(6)) + -5.\nAnswer: -44 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 147\/5 + 2\/(-5). Let z(u) = u**2 - 9*u - 19. Let i be z(11). Suppose i*v - t = -11. What is the lowest common multiple of v and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 16*n - 260*n + 4380 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5062, 5, -15, -5 in increasing order.\nAnswer: -15, -5, 5, 5062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 11, -2\/11.\nAnswer: -0.4, -2\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 878271, 3513088, 7904451, 14052360, 21956815, 31617816?\nAnswer: 43035363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -374117628.\nAnswer: -374117628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**6\/24 - r**4\/4 - r**3\/6 + 3*r**2\/8 + r\/2 - 5. Solve h(u) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 379, 637, 547, 109, -677, -1811, -3293?\n\"Answer: -174*d**2 + 780*d - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4967 - -6570. What are the prime factors of u?\nAnswer: 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000948 rounded to five dps?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 460 = -b + 3*g, 3*b + 4*g = 1340. List the prime factors of b.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 16 = -c, -386*c - 3*y - 10 = -390*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(25)\/(2*sqrt(5)*-6))*2.\nAnswer: -6 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**2\/2 - 6*w + 12. Let l(c) be the third derivative of c**4\/24 + c**3\/6 - 70*c**2. What is f(s) + 5*l(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2037*h - 72 = -i + 2042*h + 20, -3*i = -17*h - 312 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 147, 226, 309, 396?\n\"Answer: 2*z**2 + 69*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 4. Suppose -1 + 34 = 3*l - 3*s, 52 = 5*l - d*s. Let q be 3\/45 + (-4)\/l. Which is the second smallest value? (a) q (b) 3\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*b + 60, 57936*b + 36 = -3*t + 57932*b for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/35 - 5*w**4\/21 - 2*w**3\/3 - 6*w**2\/7 - 20*w. Factor x(r).\nAnswer: -4*(r + 1)**2*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 54180.\nAnswer: 108360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((91\/(-13))\/14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310561 is divided by 3789?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 63 = l, d - 4*l - 6 = 12. Suppose -4*p = -7*p + d. 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 common denominator of -105\/184 and -71\/310406528?\nAnswer: 310406528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*x + 1259975 = 0, -3*b - x - 756015 = 2*x. What is b rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38056, -38059, -38062, -38065?\nAnswer: -38068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120121001022 - -1110?\nAnswer: 120121002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76576406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x - 67. What is k(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 + -3*86\/54. Let c(q) = 0 + 0 + 7*q. Let g(k) = 15*k. Let v(b) = x*c(b) + 2*g(b). Let a(h) = -h. Give a(v(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = -3*g - 1199. Let y = -525 - g. Calculate the lowest common multiple of 429 and y.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/1)\/((-2)\/(-5)). Suppose -o + 5*x = -13, -4*o = -x - y - 4. Let s be 2\/((-2)\/(-3)) - o. Let n(b) = b + 4. What is n(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 + 25*i**2 - 2*i**2 - 4*i**2 - 2*i - 8*i**2 + 3*i - 12*i**2. Let t(c) = -2*c**3 - 3*c**2 + 4*c - 2. Suppose 0 = -p + 5*p + 16. Give p*j(o) + t(o).\nAnswer: -2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 1 - 1)*(0 + 1 - 6)*(-3 + 1 + 1)*(-3*a - 2*a + 6*a).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -7, -3, 5, -85775 in ascending order.\nAnswer: -85775, -7, -3, 0, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/x**(-5\/6))\/x))\/((x*x*x*x\/(((x*x*x**(-2\/23)*x*x*x*x*x)\/x)\/x))\/x*x))**29)**(-17) assuming x is positive.\nAnswer: x**(-73457\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85399015*i**3 - 15*i**2 + 1732223*i?\nAnswer: 512394090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(121) + sqrt(121)*1)*2)\/(sqrt(44)\/(sqrt(4)*-2) - (sqrt(891) + (sqrt(891)*-1 - sqrt(891)) + sqrt(891))))**2*6.\nAnswer: 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2891*i - 78553 - 28520 + 25059 = 22062 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442935 rounded to four decimal places?\nAnswer: -0.0443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1872 and 18787392?\nAnswer: 18787392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -7?\nAnswer: 276\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -81*z + 92*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 2 = 6*v. Let c(n) = -3*n. Let s be c(6). Let g be ((-38)\/s - 2)*3. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22321561 (base 7) in base 4?\nAnswer: -13121030332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 123 - 60 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 450?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 + 7 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -6*o + 1362 - 1404, 0 = 3*o - 5*n - 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2129773581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l. Let p(a) = -61*a + 12*a + 34*a. Give p(q(o)).\nAnswer: -165*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-45) + (-107)\/(-10))*(-12)\/(-9). Solve -k + 0*l - 3*l = x, k - 2*l - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:48 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*c + 24 = 0, -2*m + 2*c - 3 = c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 7*t + 3*t, 0 = -13*b - 2*t. Solve 16*d - 64 + b = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -5. Find the third derivative of 12*o**2 - n*o**2 + 21*o**2 + 21*o**3 wrt o.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f = 55*f. Let z be (2 + -4)*(f - (-9)\/(-6)). What is the first derivative of 6*o**z + 11*o**3 - o**2 + 20 + o**2 wrt o?\nAnswer: 51*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + 1 - 36*m**2 + 30*m**2 - 5*m - 4*m**3. Calculate f(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3. Let k be b(3). Suppose -d = p - k*p + 87, -3*p = 3*d - 45. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2132.6 to the nearest ten.\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Solve 10 = m*v - 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 708531 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103297214?\nAnswer: 2, 51648607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(10 + -4 + -5). Suppose -39*h + 62 = 5*m - 35*h, d*m + 4*h = 42. What is the remainder when 25 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 1. Suppose 3*g + 5*i = 7 - 5, 0 = -2*i + 2. Let r be d(g). Solve -j = r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2472714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-175 - -1)*(-3 - -2). List the prime factors of r\/1*(-2)\/(-4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u + 6. Suppose 6 + 69 = 15*p. Let x = -20 - -12. Let t(a) = -4*a + 4. Determine p*d(r) + x*t(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 83 - 14*z)*(3 + 4 - 4)*(0 - 2 - 1)*(1 - 1 - 2).\nAnswer: -252*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + -4 - (-17 - (-2 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*v)*(-7 + 4 - 1) + 6 + 11*v - 6.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-6)\/5)\/(-1))\/(42\/(-42525)*-81). Solve c*x = -31*x + 414 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19640 = 678*t - 187*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-7))\/((-9220)\/(-196) - 47))\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99708702589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.3 (c) -2\/35 (d) 0.09 (e) 90 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/29034 and 43\/99093042.\nAnswer: 99093042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + (-363)\/(-12). Suppose 0*p + 5*n + 10 = -5*p, -8 = -p + 4*n. Suppose p = 5*u - 35 - b. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:41 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/((3 + -1)*-1). What is the biggest value in -2\/17, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3837371 - 34590205\/9. Let g = m + 5979. Find the common denominator of 13\/(-130)*(85 - -4) and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -2\/3 (c) -3\/2 (d) -4 (e) -4\/37 (f) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 739290*y + 27327485205 = 0.\nAnswer: 73929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 16*g**4 + 190*g**3 - 700*g**2 - 7000*g - 10000 = 0. Calculate g.\nAnswer: -5, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 92*m**2 + 1061*m - 2419. Calculate b(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0521661406 times 0.5\nAnswer: -0.0260830703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42381 is divided by 558.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1))**(-10\/11))**(8\/7))**(-41) assuming q is positive.\nAnswer: q**(-3280\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, w: 13}. Give prob of picking 3 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850.50906 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times -0.01?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239\/4 - 2135\/36. Suppose 0 = 2*g + 2*q, 5*g - 4 = 2*q + 3. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 5. Let o be d(6). Let w be (-2)\/(o\/(0 - -2)). Let f be 43199997\/12 - 1\/w. What is f rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -1180 - 302. Suppose -83*m + f*m = -2580. List the prime factors of m.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*o + 9*g + 1203 = 4*g, -4*o + 11*g - 10*g + 17 = 58 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -707, -1387, -2249, -3293, -4519?\n\"Answer: -91*r**2 - 225*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/225)\/(-9 - 693\/(-81)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 6\/(-15)*((2 - 9) + -38).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19555 and 16105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 + 13 - 5 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1898 - -1898. Solve v + 0 = 29*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1119, 4503, 10143, 18039?\n\"Answer: 1128*r**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 2:29 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-11)\/(-12) + -1). Suppose -3*k + 0*o = 4*o + 143, -5*o - 235 = 5*k. Let y = a - k. What is the remainder when 42 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*(-5)\/2. Suppose 3*r + 7 = a, 3*r + g + 1 = 2*a. Let h = 8 + -7. What is the nearest to h in r, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**9\/30240 - b**8\/3360 + b**7\/1260 - b**5\/6 + b**4\/24 - 25*b**2 + 1. Let f(w) be the third derivative of i(w). Factor f(h).\nAnswer: 2*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 c when four letters picked without replacement from czzcctccttztzzccc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4*x - 4. Let w(n) = 1. Let j(t) = h(t) - w(t). What is the units digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**3 + 4*b**2 + 4*b - 12. Let j(n) = 7*n**3 - 5*n**2 - 5*n + 13. Determine -5*h(m) - 4*j(m).\nAnswer: 7*m**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 46920 = -37*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*f + 8. Suppose 3*q - 23 = -f. Suppose 3*k + 126 = 5*k. What is the highest common factor of q and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*q - 11, 7*p + 14 = -2*q + 3*p. Suppose 5*i + 4*x - 64 = 4592, 1861 = 2*i + q*x. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let p(b) = -3*b**2 - 8*b + 7. Let x(v) = p(v) + 2*u(v). What is x(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 + 8*y + 31. Give k(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2.4, -3\/124, 30\/17 in increasing order.\nAnswer: -2.4, -0.2, -3\/124, 30\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/11 + 35\/44. Let l be 11 + -8 + (-36)\/16. Determine m, given that -g*m**2 - 1\/2 + l*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/12 - 5*f**3\/6 - 5*f**2\/2 - f - 1. Let c(l) be the first derivative of w(l). Let s = -73 + 68. What is c(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540048, -2160456, -4861136, -8642088, -13503312?\nAnswer: -19444808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984259.\nAnswer: 73, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759682647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/13 - 20*l**4\/13 + 24*l**3\/13 + 20*l**2\/13 - 22*l\/13 = 0. What is l?\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 42*f + 401. What are the prime factors of n(59)?\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 20*t - 23. Let h be y(8). Let s be (-4)\/(-24)*12\/h. What is x in s*x + 4\/9*x**2 + 0 = 0?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6*x + 9*c**3*x**2 - 48*c**3 + 3*c**2 - 55*c*x**2 + c - 9 wrt c?\nAnswer: 120*c**3*x + 54*x**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*d - 2*d + 4 + 10, -77*g + d = -1851 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.5, 6, 0, -2, -171718 in decreasing order.\nAnswer: 6, 0.5, 0, -0.8, -2, -171718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000183 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 46. Let y(m) = m - 3. Let c(g) = -f(g) + 6*y(g). Let n be c(22). Calculate the highest common divisor of n and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (88 + -83 + 0 + (-5 - -5)) - -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(448) - sqrt(448)*-1).\nAnswer: -5 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328207377023 plus -33?\nAnswer: -1328207377056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -558*b - 97. List the prime factors of f(-6).\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1081997, -2163987, -3245969, -4327943?\n\"Answer: 4*y**2 - 1082002*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 62*h + 384. Calculate the remainder when 4028 is divided by z(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281449386*n**5 + 774208011*n**2?\nAnswer: -16886963160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-7*a - 113 + 115 + a).\nAnswer: 12*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 654364 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-12)\/3))\/(2\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22 + -14)\/(2 - (-16)\/(-10)). Let a(f) be the first derivative of 2*f**3\/3 - 7*f**2\/2 + 4*f - 2. Let p be a(5). Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718*o**2 + 2282*o**3 + 1718*o**2.\nAnswer: 2282*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjgjjjiijjjhgjjjj. What is prob of picking 2 j and 1 g?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 - 6*x**4\/5 - 3*x**3 - 8*x**2\/5.\nAnswer: x**2*(x - 8)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 10359 + 19201 = -10040. Calculate the greatest common divisor of 252 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 - 31 + 17*r**2 + 6*r + 23*r**2 - 38*r**2. What is the remainder when g(3) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 3\/(-2))\/((-6)\/(-8)). Which is bigger: -8\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7735 = 35*v + 2870. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -a44a72?\nAnswer: a44a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + -330010?\nAnswer: -330211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 6*j + 12 = 0. Suppose -j*q = -5*q + 192. What is the tens digit of 27\/12*q\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r**(-3\/7))\/r))\/r*r)\/r**(-1\/11))**20\/(r**(2\/11)*r*r**(-2\/11)\/r)**(14\/3) assuming r is positive.\nAnswer: r**(2340\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 101100000011001010000?\nAnswer: 101100000011001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -85. Calculate the remainder when 44 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (20 + -41)) + -13 + (-1 - -47)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18544\/5 - 3705. What is the closest to b in 1\/2, 3, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*l**4 - 8*l**4 - 3*l + 35*l**2 - 48*l**4 as p*l + o*l**4 + n + x*l**3 + d*l**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 29 + 48 + 37)*(0*z**4 + z**4 - 2*z**4) in the form i*z**4 + y*z**2 + n*z**3 + p*z + g and give i.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 34 + 80 = 2*a, -3*d = -2*a + 78. What is the highest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308979027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 51*d**2 - 1013*d - 161. Determine u(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - j - 2 - 18, 170*j + 11 + 45 = 11*l + 169*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 2, u: 1, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, k: 4}. What is prob of sequence kkki?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 2397 = 5*p. Let x = p + -137. Let o = 21 + -10. Solve -4*t + h + o = -t, x = 2*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 - -8209564473.1?\nAnswer: 8209564473.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - y = -c - 2, 2*c + 5*y + 8 = 0. Let a be (18\/15)\/(3\/(-10)). Let d = c + a. Solve 5*s - 2*s = -q + 10, -d*q - s = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/4 + 105*b**2\/4 - 213*b\/4 + 107\/4 = 0.\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxbx when four letters picked without replacement from {u: 1, x: 4, a: 2, b: 7, l: 2}.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 651*y\/4 + 639.\nAnswer: 3*(y + 4)*(y + 213)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2581 - 2580.99999880205. Round k to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 0 + 0*q**2 + 6*q**2 - 1 - 1 - 5*q. Let a(h) = 18*h**2 - 14*h - 6. Give -5*a(z) + 14*p(z).\nAnswer: -6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4569096mm in nanometers?\nAnswer: 456909.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13551894087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 829 + -184. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((18\/27)\/((-12)\/(-18)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 4*h**2 + 3*h + 2. Let c be l(-2). Calculate the lowest common multiple of -2*(4\/3)\/(14\/(-21)) and -2 - (3 + c)*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28552 + 28583. Solve -4*f - 14*s + 15*s = -3, 3*f + 5*s = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23308463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-7)\/7)\/((-69)\/161 + 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 152 = -4*y + 5*l, 2*y = 5*l + 119. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1111 - 151. Suppose k = 4*h + 316. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/(2\/(-3064)). Let u be (-2)\/(-8) - r\/(-8). Suppose 3*l = -l + u. What is the greatest common factor of 60 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 2, -2\/13, 1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/3)\/(-5)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*c + 2795 + 627 + 378 = 0 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 10. Suppose -3*w - 31 = -5*u - 9, q*u = -w + 21. Suppose u*g = 3*l + 255, 0 = -3*l - 0*l - 5*g - 285. Round l to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-10)*46\/138*5. Solve 5*g + 0 = -z*f - 2, -3*f = -3*g - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303061 is divided by 2914.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txi when three letters picked without replacement from {t: 1, x: 1, o: 2, i: 1, a: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/12 or 4?\nAnswer: 31\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2616 + 247. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126939 by -814.\nAnswer: -126939\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12820 is divided by 1068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1029 and 24?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136, 308, 518, 766?\n\"Answer: 19*h**2 + 115*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1243355348178.\nAnswer: -1243355348184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 587 - -350. Let a = f + -936. Let s(u) = 28*u. Give s(a).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14273874, -28547749, -42821624, -57095499, -71369374?\nAnswer: -85643249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/20 - 2*n**2. Let o(u) be the third derivative of 5*u**2 - 1\/10*u**5 + 0 + 0*u + 0*u**3 + 0*u**4. Calculate v(o(b)).\nAnswer: -108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*a + 74*a + 70*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/((-30)\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 37*z = 60 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 - 3*m**3 + 2*m**3 + m**2 + 53 to n*m + k*m**2 + w + q*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 13*j**2 + j + 15. Calculate i(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*u - 20, -2*u - 20*x + 22*x = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.012521 + -15.813\nAnswer: -15.800479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -17*c**2. Let z(n) = -107380*n**2. What is z(k(y))?\nAnswer: -31032820*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15044 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 30 = 0. Let n(a) = -13*a - 8. Let j be n(m). What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adxx when four letters picked without replacement from {a: 1, x: 4, h: 2, u: 1, d: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 3089826 - 22*m**2 - 3089826.\nAnswer: -4*m**3 - 22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101001011001000110111 (base 2) to base 11\nAnswer: 1a49731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*c**2*g**6 + 185*c**2*g**4 - 19*c**2*g**2 + c**2 + c*g**2 + 24*c*g wrt g?\nAnswer: -2760*c**2*g**3 + 4440*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + 97. Let j = n - 203. Solve -5*k + 3*z = -j, -5*k + 8 = -0*k + 3*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22841980 and 700?\nAnswer: 114209900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 25 = -5*o. Let v be (2\/(-4))\/(o\/(-10)). What is the closest to -0.2 in 1\/3, v, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m - 2*z = 59*m + m - 722, 0 = -m - 2*z + 11 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11433 - 17952. Let n = l + 6519.2679. What is n rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1508 + 1548 = 10*q. Which is the nearest to 1\/2? (a) 3 (b) q (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + g**2 - 12*g - g**3 + 12*g as h*g + b*g**3 + a*g**2 + o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1296372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u - 2. Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 1. Let g be n(-1). Suppose 5*h - 5*a = g, -5*a = -2*h - 3 - 2. Suppose 0 = -3*i + i + 2. Solve 0 = -2*b - i - h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133\/183 - 11\/183. Is 0.08 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2. Let p(x) be the third derivative of -11*x**5\/60 + 7*x**2. Calculate 5*p(v) + 8*u(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) -5 (c) 984 (d) 0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476641 (base 11) to base 15.\nAnswer: -edc83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/3 - 4568*h\/3 + 661122 = 0.\nAnswer: 583, 1701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixrxxxiniic. Give prob of sequence rxc.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/1724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 2. Let f be m(1). Let x(u) = -u - 17. Let s be x(-18). Calculate the greatest common divisor of f and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/98824 or 1?\nAnswer: -1\/98824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51813 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -119191418\/31 smaller than -3844884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 17301834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2 (b) 1.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:49 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.1672 - -27.455. What is o rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-30 + 31).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zncn when four letters picked without replacement from {z: 1, c: 4, k: 3, l: 1, n: 8}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2406, -2404, -2402?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -11*b - 82 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 281 and 355286.\nAnswer: 99835366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (0 + (-6 - (-17 + 14 + -1)) - -5)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*x, -5*g - 6*x + 30 = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obgbgggbgngoo. Give prob of picking 1 b and 1 o.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6517581 - 5\nAnswer: -6517586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -3, -5.118, 2, 82?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)\/z**(1\/2))\/(z\/(((z*z*z\/(((z*z**0)\/z)\/z))\/z)\/z*z*z))**(-42))\/((z**(1\/12)*z)\/z**(-3\/4)*(z**0)**42) assuming z is positive.\nAnswer: z**(-1549\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-16)\/(-704)*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1009 and -41\/4?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/27)\/((-185)\/(-1332))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.2. Which is the nearest to -0.1? (a) 4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3591.8? (a) 0 (b) 1\/18 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 550, 50, 2, 59, 5, -4 in increasing order.\nAnswer: -4, 2, 5, 50, 59, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = -0. Let i(t) = -22*t + 6371 - 6371. Is 22 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10579 - 31705\/3. What is h in -4*h**4 + s*h + 16*h**2 + 2\/3*h**5 + 0 + 2\/3*h**3 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.981005 weeks to days.\nAnswer: 13.867035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.9 + -1.1. Let k = 191.41 + -191.51. Which is the third smallest value? (a) 3 (b) k (c) i (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.9 + -14. Which is the closest to h? (a) 2\/13 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 3. Suppose -11 - 9 = 4*k. Let t = 2 + k. What is the units digit of q(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 242*y**3 + 5*y - 118*y**3 - 123*y**3 as x*y**3 + f*y + n + w*y**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2. Suppose l = -y + 4, -2 = 3*l - 5*y + 2. Let a(d) = d**3. Let o(c) = l*a(c) + u(c). What is the third derivative of o(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.666 and -19770528.88.\nAnswer: -19770527.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 99.20415 nanograms?\nAnswer: 0.00000009920415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3585159, 3585160, 3585161, 3585162, 3585163, 3585164?\n\"Answer: d + 3585158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*-3*18\/(-18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4459*j + 23. Let v = -363 + 365. Is i(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 + 6*g. Let l(a) = -11*a**2 + 12*a + 1. Let m(i) = -6*l(i) + 13*w(i). Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 81. Let v = 2297.2 - 2298. What is the second biggest value in v, -3\/2, -4, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.5692 - -0.5692. Which is the second smallest value? (a) -2\/15 (b) 1 (c) w (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 2*i**2 - 2 + 0 - 3*i + 4*i. Let z be 18\/30 + 54\/(-15) - -3. Let b be 0\/(-1) + -4 + z + 6. Determine l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 183, 273, 363?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 55*r**2 - 20*r - 1268. Let q be b(-27). Is q at most 17\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (7 + (-13 - (-8 + -3)) - 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 3. Let u be z(5). Let d = -6 + u. Solve -4*b - 2*c - 4 = 0, -3*b = -4*c - 25 + d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -4 - (6 + -22). Let y = u + -16. Suppose w - 286 = -4*w - y*j, -w + 57 = j. 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(q) be the third derivative of q**5\/60 - 5*q**4\/8 - 19*q**3\/2 + 1743*q**2. Give r(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 221121?\nAnswer: -221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 2*x**2 - 3*x + 2. Let d be t(1). Suppose -3*y + 3 = -2*h, y + y - 2 = -d*h. Solve h*s = -2*i + 2*s + 2, -2*s - 10 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 0*m**3 - 4*m**3 + (0*m**2 - 2*m**2 + 4*m**2 - 2 + 2 - m**2 - 3 + 3 - 2*m**2 + (2*m - 5*m + m)*(-2*m + 0*m + 0*m))*(4*m + 3*m - 5*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - 2*h**2 - 2651*h**3 + 1 + 2649*h**3 - 3*h**4 to the form l*h + n + u*h**3 + x*h**4 + w*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 - 5*n - 3. Let q be p(-4). Let g = q - -2. Does 10 divide (-4 - -1)\/(g\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 44264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 1*-5*sqrt(77))\/sqrt(7).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Collect the terms in -168*v - 93*v + 204*v.\nAnswer: -57*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 52*u - 392 = -736 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3784 and 581317.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 112*j**5\/15 - 191*j**3\/2 - j**2 - 104. Find the first derivative of t(p) wrt p.\nAnswer: 896*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3 + 3)*(1604*d**2 - 698*d**2 - 688*d**2).\nAnswer: -218*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -682, -3?\nAnswer: -682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 191*h**2 - 97*h + 10. Let o(s) = -190*s**2 + 97*s - 12. Let t(a) = 5*o(a) + 6*v(a). What is the second derivative of t(g) wrt g?\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 17. What is the tens digit of -4*14\/v*7*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -0.01.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (58\/(-5))\/(6*(20 - (-301)\/(-15)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4979164804.\nAnswer: 2, 41, 30360761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 44923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 17*a - 11. Suppose -t = h + 13, 3*t + 2*h = 4*t + 22. Give w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 24 = -2*h + 13 - 30, 0 = -2*h - 5*g - 11 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*l = -8, -5*y = l - 15 - 1. Let n(x) = 2*x**2 - 5*x - 11. Let k be n(5). Suppose k = 13*v - 12. Solve 5 = -s + v*c, 4*s - 4*c - y = -11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:15 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 5*x**2 + 3*x + 3. Suppose -a + 131 = 2*h, 0 = -h + 6*h + 3*a - 330. Let w be 18\/h + (-26)\/(-7). Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -5, 6, 3973, 5, 17 in decreasing order.\nAnswer: 3973, 17, 6, 5, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhe when four letters picked without replacement from {o: 2, u: 1, e: 5, r: 2, y: 1, h: 2}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - (-12 - (10 - 29))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73905, 75827, 77749, 79671?\n\"Answer: 1922*n + 71983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19923986, 39847973, 59771960, 79695947?\n\"Answer: 19923987*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 35*h**2 + 5*h + 1. Let o(s) = -7*s**2 - s. Let q(y) = 2*d(y) + 11*o(y). Let k(c) = 6*c**2 - 3. Let b(r) = 4*k(r) + 3*q(r). Factor b(z).\nAnswer: 3*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342667466 less than -15.53?\nAnswer: -342667481.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let p(o) = 2*o**g + o**2 - 2*o**2. Let f(a) = -21*a. Let t(n) = 4*n. Let z(u) = -2*f(u) - 10*t(u). Calculate p(z(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -173934*b**3 + 108*b. Let a(j) = 8090*j**3 - 5*j. Give -108*a(g) - 5*r(g).\nAnswer: -4050*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.53 (b) -0.2 (c) 0.4 (d) -0.1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, -2, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 27*c - 35 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 137043*w**2 - 14*w + 62. Let o be p(4). Suppose 0 = 17*u + o - 575994. What is u rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*o*w**4 + 20*o*w**3 - 126*o*w**2 + 4*o + 2*w**4 wrt w?\nAnswer: 528*o*w + 120*o + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i. Let r = -14 - -9. Let u(p) = -p**2 - 3*p + 7. Let k be u(r). Let c(z) = -7*z. Give k*c(j) - 4*v(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 7. Let w(t) = -t**2 - 9*t + 5. Suppose 34 = -3*n + 7. Let j be w(n). What is the units digit of c(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 6. Let y be p(4). Let f be 34 - (-2 + y + -4). Suppose -3*v + f + 73 = 0. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*b + 20 = -0*w, 3*b = -12. What is the remainder when 762 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*(9 - 9)\/1. Solve -3*d + 2 + 1 = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644845795 + 2424.\nAnswer: -644843371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/((b**(-9)*b)\/b*b))\/(b\/(b*b**6)*b**(2\/9)*b))**(-48) assuming b is positive.\nAnswer: b**(-1120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/524 and 53\/2096.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**3 - 2*c**2 + c + 1. Let d be a(1). Suppose 0 = -d*y + 18 + 17. Is 70\/9 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 106 = 2*r. Suppose 0 = -2*u + r + 12. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010 - 2229 = -53*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 1, n: 1, g: 1, h: 1, p: 2}. Give prob of sequence png.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2218.967.\nAnswer: -665.6901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 5. Let i be (-6)\/(-6)*(p + -63). Let m = i + 98. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*b + 77, -71*b + 125 = 5*k - 75*b. Solve -k*t = -39*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 152) + (4 - 6). Let a = 87 + t. Let p = a + 68. Solve d = 5*u + 11 + 10, p*u + 8 = -4*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15455383 divided by -4.\nAnswer: 15455383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Let m be (-22)\/(-4) - (27\/18 + -1). Let z = -5.9 + 1.9. Sort z, m, -1.4, j in ascending order.\nAnswer: z, -1.4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 + -0.3185. What is h rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6145)\/(-3))\/(58\/6). Let w = -1316 - -1528. Let p = w - s. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + sqrt(108))*-1 + -4))**2*-1 + -5.\nAnswer: -3330 - 1500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.18621nm?\nAnswer: 0.00000018621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - t**2 + 1131612*t**3.\nAnswer: 1131612*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5374, 5375, 5376, 5377?\n\"Answer: r + 5373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 80 + 15. Suppose 4*v - c = -n, 4*v - n = -0*v + 3. Suppose 4*d = -4*t - 2 - v, -3*d = 4*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 0, -3*z - 4*j = -1 - 2. Let l = -90 + 93. Which is the closest to z? (a) l (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 37048849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**2 - 21*m - 27. Let j(b) be the second derivative of 7*b**4\/12 - 5*b**3\/3 - 13*b**2\/2 + 3*b. Let y(r) = 9*j(r) - 4*x(r). Factor y(o).\nAnswer: 3*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -1121*l**6\/120 + 241*l**5\/10 + 1917*l**2. What is the third derivative of i(v) wrt v?\nAnswer: -6726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 16 - (-29 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.13 + 5.96. Let u = -1.9128 + t. What is u rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 - (-6 + 73 - (-14 + 44)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.501 + 0.481. Sort -1\/2, 0.06, d in descending order.\nAnswer: 0.06, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 229*w + 3. Let z(x) = -114*x - 1. Let m(k) = 3*v(k) + 5*z(k). Let s be m(39). Solve -s*f - 5 - 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375153324?\nAnswer: 2, 59, 89, 113081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340689 - 340684. Let l = 45\/4 + -11. Let t be (-4)\/(-3)*6\/4. What is the smallest value in t, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-3712) + (-483)\/19082.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2104 - 2090. Solve m = 137*k - 144*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 609 - 625. Which is the third smallest value? (a) -4\/3 (b) r (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4287, -4288, -4289, -4290?\nAnswer: -4291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -3 + 12\/4. Suppose z = -2*n, q = -3*z - z - 2*n + 18. What is the smallest common multiple of z and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u + 7*u + q = -9, -74 = u - 141*q + 145*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(1 + -2 + 0). Let x = -13 + m. Let i(t) be the second derivative of -t**3\/6 - 15*t**2\/2 - 24*t. What is i(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82326333?\nAnswer: 3, 27442111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 bigger than 655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/4 - 11519*m**4\/2 - 322679*m**3\/4 - 282387*m**2.\nAnswer: m**2*(m - 23052)*(m + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 80, -75 in ascending order.\nAnswer: -75, 0, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 300799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4*s)**3\/(s**(1\/4)*s**(-11\/2)\/s) assuming s is positive.\nAnswer: s**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -20*y**2. Let g(c) = -76*c**2 - 10*c - 20. Let a(x) = -24*x**2 - 3*x - 6. Let s(f) = -20*a(f) + 6*g(f). What is t(s(i))?\nAnswer: -11520*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 + 8 = 0, -4*h - 5*q - 181 = 0. Let p be 14\/h + (-15)\/21. Let v(u) = 123*u**2 + 2*u + 1. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12048 - 12033. Let l(b) = -b**2 - 6*b - 2. Let k be l(-4). Solve d = k*d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + 8) - (4 + (5 - 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {c: 4, x: 4, h: 11}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, 3, 24, 61, 120, 207?\n\"Answer: i**3 - i**2 + 7*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7197\/28 or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzrzzzzrzzzrrrzzrz. What is prob of sequence rz?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:33 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 208 = -12*x. Let v = x + 147. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147+-6.05\nAnswer: -1153.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -33. Let l(o) = 3*o**3 - 2*o**2 + 2. Let j(r) be the third derivative of 7*r**6\/120 - r**5\/12 + 5*r**3\/6 + r**2. Calculate k*l(m) + 2*j(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 100*i**2 - 104*i - 303. Let c be p(-101). Solve c = 5*h + 3*v - 9, -2*h + 14 = -4*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 20. Let u(q) be the second derivative of 0*q**3 - 1\/20*q**5 - 1\/6*q**w + 0*q**2 + 0 - 2*q. Let u(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11320*j**3 - j**2 - 47446*j wrt j?\nAnswer: -67920*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 231\/30 - 45\/(-150). Solve -3*d + 4*u = 2*d + 6, -2*d - 4*u - p = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0189 rounded to 1 dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o + 25. Let k be c(-7). Suppose -1544 = -k*v - 384. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11311104114 - 20?\nAnswer: 11311104044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 57. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/780 and 27\/1125527.\nAnswer: 67531620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28)*-2*1 + 86\/(-301)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100011011001101110100110 + -101?\nAnswer: -111100011011001101110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 286488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) -6\/7 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1532 + -161209.\nAnswer: -162741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19107 (base 14) to base 13\nAnswer: 22a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822 - 40710 = -642*p - 883*p + 417*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 2 + (5 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15875 is divided by 512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 16*i**2 - i**2 - 4*i**3 - 3*i**2 + i - 1. Let o be h(12). Let z = -11 + o. Solve z = 2*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 40 = 7*h + 4*x, 2*x = h + 10. Suppose 0 = 2*n + 2, 0*n + 23 = i - n. Let c = h + i. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {o: 2, w: 6, b: 4}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, 40, -2\/5, -0.7, 683.9?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*y = -8. Solve u - 3 + y = -5*k, 4*k + 5*u + 11 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqzpzdw. What is prob of picking 1 q and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 2260*v.\nAnswer: -5*v*(v - 452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(208) + sqrt(208) + 3)**2 + (5 + sqrt(13) + sqrt(52)\/(sqrt(12)\/sqrt(3)))**2 + -2.\nAnswer: 148*sqrt(13) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 80*o**2 + 76*o**2 - 155*o**2 + 12*o.\nAnswer: o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**28*i*(i*i**(-9)\/i)\/i*i*(i\/i**(7\/3))**(-46) assuming i is positive.\nAnswer: i**(247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 3*p + 0*p. Let o(f) be the first derivative of -10*f**3\/3 + 3. Calculate s(o(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 7*r - 360 = 0. Suppose 480 = 2*q + r*q. Put -1, q, 5 in decreasing order.\nAnswer: q, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2. Let b(v) = -3*v + 4*v - v - 2*v**2. Give -8*b(q) - 3*w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 79, -1, -60, 3, -0.04?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - ((-20960)\/(-640) - (0 - -17))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*r**2 + 564*r + 159460 = 0. Calculate r.\nAnswer: -335\/4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.8416314 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600*b = -622*b + 4361918. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3192 and 8792.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + c + 4*c**3 + 7*c.\nAnswer: 4*c**3 + 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.3, -1379, -962?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36806 and 5698.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8205233 + 4?\nAnswer: 8205237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1583767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 40, 13 in decreasing order.\nAnswer: 40, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 10:08 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -6 + 8 + 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308.9 - -307.9. What is the second smallest value in y, -207, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1030200 and 5567646?\nAnswer: 4537446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17*r**3 + r**2 - r + 2. Let u be b(2). Suppose 2*p + u = 7*p. What is the remainder when 109 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5\/8 - 255*t**4\/8 + 495*t**3\/4 - 735*t**2\/4 + 975*t\/8 - 243\/8.\nAnswer: 3*(t - 81)*(t - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 + 4 - 3135890*s**2 + 3135904*s**2 + 1.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 48\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 96, 191, 3 in decreasing order.\nAnswer: 191, 96, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 716*u + 3480 = 0. What is u?\nAnswer: -174, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 15) to base 7.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 25, -5, 4 in decreasing order.\nAnswer: 25, 8, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 164 = -5*w + 16, 21*t - 1488 + 816 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 3694770604160.\nAnswer: 3694770604160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305151740 by 507740.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - -302. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*j + 3*z - 28, z + 19 = -2*j. Let f = -4 - j. What is d in 50*d + f + 2*d**2 + d**2 - 41*d = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/1560*16\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 84593 = 3*y - x, -2*x - 140995 = -5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*v + 178*v - 20*v**4 - 67*v**3 + 67*v**3 - 13*v**4 + (-2*v**2 - 2*v + 2*v)*(-v**2 + 2*v - 2*v) as l*v**2 + a + n*v**3 + z*v**4 + b*v and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 299*m**2 - 38*m - 45. What is k(-1)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -16. Suppose 57 + 24 = 3*y. Let m = 62 - y. What is the greatest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v + 9. Let n(r) = 2*r**2 - 4*r - 18. Let d(y) = -5*j(y) - 2*n(y). What is d(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -52. Let u = -3457\/3 - -1136. Let x = -16 - u. Which is greater: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -6. Let l = 29 + k. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a - 2 + 3 - 1. Let d(j) = 6*j**2 - 5*j - 5. Let f = 0 - -5. Let x(m) = -5*m**2 + 4*m + 4. Let v(l) = f*x(l) + 4*d(l). Determine q(v(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 9, o: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/4)\/((-3)\/(-8)). Let d = q - -3. Let t = -9 + d. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/21711 (b) -2 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120044 - -3?\nAnswer: 120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 11*o - 31. Let z = -56 + 57. Let k be z\/(-1 - 32\/(-36)). Is 10 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -4 + -9 - (0 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 700\/115 - 6 - (368311\/45632 + -8).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2678004 is divided by 40574?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 88730680?\nAnswer: 1330960200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14413012, 14413024, 14413060, 14413132, 14413252, 14413432, 14413684, 14414020?\nAnswer: 14414452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**4 + 25*z**3 - 15*z. Let g(a) = -2*a**4 - 24*a**3 + 14*a - 1. Let t(x) = -3*b(x) - 4*g(x). What is the second derivative of t(s) wrt s?\nAnswer: 60*s**2 + 126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 11*w + 20. Calculate f(-6).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v + 2 + 2 + 2*v. Let s = 9 - 14. Give k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1424, 2983, 4644, 6413, 8296, 10299, 12428?\nAnswer: 14689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d4c (base 14) to base 10.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 h when four letters picked without replacement from jvtttjvttvjjvvjjvjh?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2203*b - 496*b - 4501*b.\nAnswer: -7200*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/60 + h**5\/60 + h**4\/24 - 17*h**3 + 74*h**2 - 1. Let t(j) be the first derivative of d(j). Calculate t(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 12) to base 8.\nAnswer: -755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 88*m**2 + 353*m + 57. What are the prime factors of d(-81)?\nAnswer: 3, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*m*s**2*y**3 - 173*m*s**2 - m*s - 24256*m*y**2 - 91*s**2 - 6 wrt y?\nAnswer: -24*m*s**2*y**2 - 48512*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 161*d + 166*d - 24, -5*z + 5*d = 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*f - 4*w, 9*w - 5*w = -2*f - 40. Let j be 7\/f - 2\/(-4). Find t, given that 2\/11*t**4 + 2\/11 + 2\/11*t**5 + j*t - 4\/11*t**3 - 4\/11*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288) - (sqrt(288) + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 68*s - 691. Let c be b(9). Let m = 93 + -91. Solve c*l = 0, 0 = 2*q - q - m*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 705 and 21208185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -176, -384, -676, -1052, -1512, -2056?\nAnswer: -2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**3 + 0*i**4 - 1 - i**2 - 2\/5*i**5 + 0*i. Find the second derivative of y(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47\/34, -2\/7, -53228\/11?\nAnswer: -53228\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1412*m**3 + 411*m**2 + 4*m - 4. Let c(t) = -4239*t**3 - 1232*t**2 - 11*t + 11. Let n(u) = 4*c(u) + 11*f(u). Find the third derivative of n(d) wrt d.\nAnswer: -8544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjdtjjtjcdcjjjdtjj. Give prob of sequence cdd.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiidiii. What is prob of sequence dii?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 44\/(-8)*-2. Let z be (-2)\/(5\/((-16275)\/18))*(-198)\/(-165). What is the highest common divisor of z and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23658.891 rounded to the nearest ten?\nAnswer: -23660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 2, m: 1, u: 8, n: 2}. What is prob of sequence uzuz?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 + 117. Let x = 104 + l. Let k(j) = -2*j**3 - 4*j**2 + 2*j. Let s(d) = d**3 + 2*d**2 - d. Let n(y) = -3*k(y) - 5*s(y). Give n(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(4 - 2 - 27\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -133.\nAnswer: 4\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7290 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**4 + 26*q**4 + 17 - 14*q**4 + 4*q**2 + (-2*q**2 + 0 + 0)*(0*q**2 + 0*q**2 + q**2).\nAnswer: -q**4 + 4*q**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s. Let f(l) = -3*l - 1904. Determine i(f(c)).\nAnswer: -24*c - 15232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -3. Let p = 0.09 + 2.91. What is the closest to -1\/4 in f, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -12, 13\/155, -4, -1\/3.\nAnswer: -12, -4, -1\/3, 13\/155, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 + -200. Let i = -4.0672132 + 23.0672362. Let s = i - q. What is s rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.23, -4, 9, 0.2, -2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0936 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9472 divided by -16.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 926144603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -54346.\nAnswer: -85\/54346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -207*v**2 - 215*v**2 + 440*v**2. Let o(n) = -14*n. What is o(w(h))?\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from {s: 5, t: 2, z: 1, x: 11}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*i - 185*i - 178*i - 173*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/89? (a) -5 (b) 0.09 (c) -33\/1433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20727 by -49.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1141*u - 710794. What is k(623)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 54653, -2, 17, -3, 2 in increasing order.\nAnswer: -4, -3, -2, 2, 17, 54653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ele when three letters picked without replacement from leolooflqe?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4121*g**2 - 2644*g**2 + 3132*g**2.\nAnswer: 4609*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -93. Suppose -2*s - 78 = 282. Let t = -114 - s. Calculate the remainder when t is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.09 + -0.09. Let t = -4.07 - -0.07. Which is the smallest value? (a) -4\/7 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 2*k - 2*k - 3 + 2*k - 2*k - 2*k**2 + (-3*k + 3*k + 2*k)*(-k - k + 0*k) to a*k**2 + b + n*k and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**2 - 5*i + 3. Give l(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbppc. What is prob of picking 1 c and 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -90*u - 21414. Calculate j(-238).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(17))**2*-3 - (sqrt(17) + 1 + -1*sqrt(17) + sqrt(17) - (sqrt(153)*-2)\/sqrt(9)))*-3.\nAnswer: -9*sqrt(17) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*w + 5*x, 5*w - 69 = -x + 26. Let q be 21\/4*w\/5. Suppose -o = -n + 4*n - 67, 5*n + o - 111 = 0. Is n at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 26 = 82. Let c = 18 + f. What is the greatest common factor of 36 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86 - (-29 - 10)) + 29 + -104 + 7?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 26*j**2 + 29*j + 2. Let s be n(-2). What is the greatest common divisor of 3680 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -303, -630, -973, -1338, -1731?\n\"Answer: -y**3 - 2*y**2 - 314*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 + (3 - -16 - (-41 - -26))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7201?\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (0 + 1) - (2 - 2). Suppose -5*i + 3*i + 2 = k, i + 323 = 4*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let o(r) be the first derivative of 0*r**2 + 159 - 4\/3*r**3 + 0*r. What is o(w(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/37)*v**(2\/15))**(-1\/50)\/(v\/v**3*v**(-2)*(v*v*v**(-1)*v*v*v)**22) assuming v is positive.\nAnswer: v**(-1165552\/13875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**2 - 23208*g**2 - 145*g**2.\nAnswer: -23396*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let y(b) = -9*b + 6. Let u(x) = -6*i(x) + y(x). Let c = -6 - -8. Give u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let g be -1 + 723\/(-9) - (-1)\/3. Let h = -241\/3 - g. What is the closest to a in h, -3, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*s + 3*s = 302, -b + 142 = -2*s. Solve -b = g - 149 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3 - 790*w**2 - 1282*w + 1286169 with respect to w.\nAnswer: -3*w**2 - 1580*w - 1282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 5)*(-3*r + 2*r - r) + 2*r - 4*r + 4*r)*(-2*r**2 + 3*r**2 + 3*r**2).\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122, -291, -564, -971, -1542, -2307, -3296?\n\"Answer: -5*h**3 - 22*h**2 - 68*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 925823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-60)*105\/(-252)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(3*(sqrt(190) - sqrt(190)*-3) - sqrt(190) - sqrt(190)))\/((sqrt(2000)*2)\/(sqrt(98)*2 - sqrt(98))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11000 and 7744?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpl when four letters picked without replacement from lllpplllaplpap.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 1\/(-3 - (-46)\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -96, -179, -284, -405, -536, -671, -804?\n\"Answer: w**3 - 20*w**2 - 2*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -5*w - 15, -5*w + 3*c - 25 = 0. Let z = -4 - w. Calculate the greatest common factor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305922082?\nAnswer: 2, 17, 38409473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 9576?\nAnswer: 9575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.982 + -0.018. Let k = 0.535 - -33.165. Let n = i + k. Sort 3, 0, n, 0.6.\nAnswer: n, 0, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 39. Suppose 37*c = 24*c + k*c. Solve 0 = -c*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + sqrt(19))**2 - (sqrt(304)*2)**2.\nAnswer: -1193 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + be?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1087, -2160, -3221, -4264, -5283, -6272, -7225?\nAnswer: -8136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 5*f. Find the second derivative of -12*s**3 - f*s + 6*s + 8*s + 7*s**3 wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-1)\/3)\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 330579*a + 123079*a + 796342*a. Let i be x(4). Suppose -4*t - i = -3*t. Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 225*o - 2178. Give z(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 77.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -5, 11, 3\/8, 3\/23 in decreasing order.\nAnswer: 11, 3\/8, 3\/23, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -103 (c) 143\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*p - 8 = 0, -3*q + 0*p = p - 10. Solve 0 = -q*b - 5*g + 2, 0*g + 16 = 4*b - 2*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 1. Let j(h) = -h + 2. Let s(t) = 13*t - 13. Let w(m) = -6*j(m) - s(m). Let l(q) = w(q) - 3*x(q). What is l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*m + 17527 = -198*m + 50217 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 31. Let k(y) = -y**2 - 9*y - 5. Suppose -4*b = -9*b - 35. What is the lowest common multiple of k(b) and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.044? (a) -1\/6 (b) -2\/3881 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(sqrt(3) + 0)*-1*4.\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.06 (b) 2\/5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*k**2 + a**3*m + 107*a**3 + a*k*m + 12*a - 13*k**2 - 8*k wrt k?\nAnswer: 4*a**3*k + a*m - 26*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -39, -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 5 + 2*sqrt(11) - (3 + sqrt(176)).\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:52 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 31*j**3 + j**2 + j. Let p(d) = 4*d - d**3 - 7*d + 2*d - 2 + 4. Let y be p(0). Is z(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 214, 1708, 5746, 13600, 26542, 45844, 72778, 108616?\n\"Answer: 212*h**3 + 10*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114597, 111888, 109181, 106476, 103773, 101072, 98373?\nAnswer: 95676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Suppose -y = -2*j - j. Suppose -d + 0*d - 2*q - 1 = 0, 2*q - 9 = -3*d. Calculate the highest common divisor of d and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 156*h**2 + 14*h - 140. Let v(u) = -31*u**2 - 3*u + 28. Let q(t) = 3*j(t) + 14*v(t). What is the derivative of q(c) wrt c?\nAnswer: 68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 150*k - 20 = -145*k, k - 4 = -g. Suppose -4*l + 3*d + 19 = -1, 0 = 2*l - 4*d - 10. Suppose l = 2*v - 5. Solve s = -g*s - v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265753 and 2698?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, -3, -105, 7 in ascending order.\nAnswer: -105, -3, -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 7. Let o(w) = 16*w**2 - 3*w - 31. Determine o(f) + 2*v(f).\nAnswer: 16*f**2 - f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.683404 minutes?\nAnswer: 101.00424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -10, -3*p = -3*d - 2 + 50. Suppose 5*w - 2*c + 5*c - d = 0, -4*w = -5*c - 26. Let b = -19 + 21. Solve -w*t + 6 = -a + b*a, 4*a - 8 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.98 + 16.88. What is the closest to 0.22 in 2, 3\/4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -m + 27, 4*t + 12 = 4*m. Let v(d) be the first derivative of 7\/2*d**2 - 637 - 4*d. Let n(o) = o - 1. Determine m*v(f) + 5*n(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1458993 + -10212949\/7. Factor -176\/7*t**2 - 384\/7*t - v*t**4 - 288\/7 - 32\/7*t**3.\nAnswer: -2*(t + 2)**2*(t + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -326 divided by 326\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49795 + -34017. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j + 2 - 2*j - 4. Let c be r(-2). Let f = -9 - c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 7*a)*(-47*a - 253*a + 73*a)*(0 - 1 + 3).\nAnswer: -3178*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3622612675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -54*f - 40. List the prime factors of o(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 18. Let q = h + -5. Suppose -45 = -p - 0*p + q*u, 3*p + 4*u = 167. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - 192. Let o = -125 - z. Suppose w - o = -64. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**0)*q)\/q*q*q**(-6))\/((q\/q**(1\/2))\/((q\/(q\/q**5*q)*q*q)\/q)) assuming q is positive.\nAnswer: sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.1 (b) 2\/21 (c) 2422 (d) 0 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645770 is divided by 1145?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -82762?\nAnswer: 82770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/18)\/((-3)\/8). Solve -5 = -w*g + 5*d, -2 = 5*g - 3*d - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, r: 6}. Give prob of picking 4 r.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)\/w**16)\/(((w*(w\/(w*w*w**(1\/6)))\/w*w)\/w*w)\/w)**(-48))**(-3\/22) assuming w is positive.\nAnswer: w**(1521\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)\/((-1)\/(-4)). Let q = -6 + s. What is the third derivative of 4*w - q*w**2 + 2*w**4 - 4*w wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/11 + 2\/11*a**2 + 18\/11*a.\nAnswer: 2*(a + 1)*(a + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - l + 2*l)*(175*l - 107*l + 91*l).\nAnswer: -1749*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from nnynnyynnnnyny?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 + ((-12)\/(-9))\/((-1)\/(-3)). What is the greatest common divisor of 140 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 9:58 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13237001, -26473971, -39710943, -52947917, -66184893, -79421871?\n\"Answer: -v**2 - 13236967*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 9*s - 9. Suppose -14*f**s + 19*f**4 + f**4 - 37*f**2 - 8*f + 65*f**2 - 4*f**5 - 22*f**3 = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 7 - 3, -r + 1148 = 2*p. List the prime factors of r + 1 - (-19 - -19).\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3631360 and -0.4.\nAnswer: -3631360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321444 by 80361.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -69, -67, -65?\n\"Answer: 2*u - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050890 to the power of 1\/2, to the nearest integer?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142604.2 - 142603.43352364. Let n = 0.546477 - p. Let u = n + 0.22. Round u to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*b - 35*b - 41*b + 133 + 108*b to the form a + j*b and give a.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 + -218. Let f be 4\/(-14) - 1*116\/s. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 - 8*f**2 + 6*f. Suppose 2*u - 6 = 2. Let l(z) = 5*z - 15*z**2 - u*z + 10*z - 7*z**3. Give 11*j(s) - 6*l(s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 1 - 29. Let f(p) be the second derivative of -p**4\/12 + 7*p**3\/6 - 3*p. Let i be f(z). Solve i*n + 4*n = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/13 (b) 0 (c) -2\/23 (d) -57 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -59. Let o = -0.559 - -68.559. Let j = v + o. Which is the third smallest value? (a) 1\/5 (b) 0 (c) j (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65161*p + 33553*p + 31606*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - -2.2. Let x = 11992 - 11987. Which is the closest to -0.18? (a) 1\/3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 times -4.2958\nAnswer: -16.75362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*z - 59*z - 2005 + 9775. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84404727*w + 155945028?\nAnswer: -84404727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 36. Let z be m(9). Which is smaller: 1\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19572, 18862, 18144, 17412, 16660?\nAnswer: 15882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7229495 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*j = -17, 0 = -4*l + l + 3*j + 27. Suppose -l*z = -329 + 129. Let c = -165 - -244. Calculate the remainder when c is divided by z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4075594930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, t: 15}. What is prob of sequence ttti?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1878 + 3?\nAnswer: 187b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1 - (4 - 6). What is the units digit of j*2\/4*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*t**2 + 32\/3 - 4*t.\nAnswer: -4*(t - 1)*(5*t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) 46 (d) 3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 5*m**2 - 5*m**2 + 4*m**4 - m**4 + 0*m**4 + (3*m**3 + m**3 - 2*m**3)*(3*m - 5*m - 5*m) + 17*m**4 - 13*m**4 + 19*m**4.\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + o = -22, -135 = -c - 3*o - 161 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 91*y**3\/6 - 15*y**2 - 22*y + 2. Let x(v) = -91*v + 29. Let k(z) = -3*c(z) - 2*x(z). Differentiate k(p) wrt p.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/29)\/i**1)\/((i**7*i)\/((i**(-3)\/i)\/i)) assuming i is positive.\nAnswer: i**(-408\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/11)\/v)\/v**1)**26)**(-40) assuming v is positive.\nAnswer: v**(23920\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 439236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b. Let h(y) = y - 1. Let k(q) = -2 + 2 + 3 - 4 - q. Let u(r) = -4*h(r) + 4*k(r). Give 5*u(p) - 6*w(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*-6*(-21)\/(-756)*24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-12)\/(-14))\/(-1*1\/(-98))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-63) + -1)*9\/(-2). Solve -v*q = 0, 4*q + 3 = -6*o + 7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -6) + (-17 - 9) - (-7 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 35*y**2 + 40. Determine i(35).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 2*m. Let x = m + 1. Find the second derivative of 3*f**2 - 3*f + 0*f - f**x wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5075322 to the nearest ten thousand.\nAnswer: 5080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 19 = 3*a, -5*a + n + 25 = 4*n. Calculate the remainder when 2 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2*v + 1. Let w be y(-2). Let u be w*1\/(-1) + 7. Let k(b) = 2*b - 7. Let d be k(u). Sort d, 2, 0 in increasing order.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 116 = 2*d + 9*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312686181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 12*j - 9. Let m be h(11). Suppose 5*a - 3 - m = 0. Let b = -0.3 - 0.1. Sort a, -2, b in decreasing order.\nAnswer: a, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, a: 1, b: 1, z: 3}. What is prob of picking 1 z, 1 r, 1 a, and 1 b?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 - q - 2. Let n be f(-6). Suppose 2*b - 685 = -3*b - 2*u, -4*b + 525 = -3*u. Suppose -n*l + b = l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) 0.4 (b) -35\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/29)\/d*d*d*d**3*d**(-4\/5)\/d*d*d*d**(3\/4)*d assuming d is positive.\nAnswer: d**(3411\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:02 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -431532.02\nAnswer: 129459.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y + 16 - 12*y + 49 wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j + 6. Sort 3, j, -2.\nAnswer: -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3))\/(x*x**(-3\/4)*x))\/(x\/(x*x**5)*x*x\/x**(-1\/3)) assuming x is positive.\nAnswer: x**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 13 + 55. Let t = 20 - v. Let h(z) = 3*z - 1. Let c be h(-1). Sort t, c, -2.\nAnswer: c, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:37 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 2*v**2 - v - 2. Let x be g(3). Suppose x*i - 73 - 44 = -t, 4*i - t = 123. Let h be (-8)\/i*9\/(-6). Which is greater: 1\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.4. Let u be (42252\/(-378))\/(1*4\/(-6)). Let i = u - 167. Which is the nearest to -3? (a) i (b) s (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**3 + t - 1. Let h(z) = -17*z**3 - 13*z**2 - 23*z - 5. Let d(s) = -h(s) - 2*p(s). Give d(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.29 + -33.99. Let h(y) = y + 11. Let j be h(-14). Which is the closest to 6? (a) 4 (b) m (c) j (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424990, 2850043, 4275078, 5700089, 7125070?\nAnswer: 8550015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180402 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-4)\/(-6)*(-21)\/2*1061\/37135).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:31 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8844839 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1458 - d57?\nAnswer: -21af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:41 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-27))\/(1\/(-18)). Let j = b - 6. Let a = 5 + j. Solve -31 + 6 = -a*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4445338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -564, -5 in increasing order.\nAnswer: -564, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 5*o**2 - 108*o + 21. What is the units digit of d(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 22 - ((-15 + 3 - -3) + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50387.353 rounded to the nearest 10?\nAnswer: 50390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 850?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 183.83. Let p = 0.182 + -0.396. Let a = s + p. Round a to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, 12\/17 in increasing order.\nAnswer: 2\/9, 12\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1497 and 507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 - 9324*v**4\/5 - 27963*v**3\/5 = 0. What is v?\nAnswer: -9321, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606193 - 2255893. What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5) + sqrt(405)) + 5 + -1)**2.\nAnswer: 160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602550.\nAnswer: 2, 3, 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = r + 28, -2*w + 1 = -9. What are the prime factors of (-2)\/8 + (-58)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1398\/7 - -200. What is the closest to -0.1 in 2\/11, f, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/5 + 94518*v**2\/5 + 2234169033*v\/5 + 35722512016\/5 = 0.\nAnswer: -47251, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 26 = p. Find the third derivative of -11*x**2 - 15*x**2 - x**4 - 49*x**p + 116*x**2 - 6*x**6 wrt x.\nAnswer: -720*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802254883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-2)\/(-27) - 7\/((-945)\/1275). Solve 0 = -u + n*u + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336.37863 * 5\nAnswer: 1681.89315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 17202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 8*s**2 - 6*s - 5. Let p be g(6). Let h(v) = -28*v - 37 - 16*v + p. Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 41 = -3*v - 3*o, 0 = 5*v - 3*o - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - 3)*(-1)\/(-2). Suppose 5*c - 14 = a. Suppose -4*l + 38 = q - 18, 4*l - c*q = 36. Calculate the remainder when 23 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i - 61. Let d be y(3). Suppose -d*q - 500 = -3*g, -2*g + 5*q = 4*q - 345. Calculate the greatest common divisor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1635155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/8)\/((-6)\/16). Suppose 0 = g*i + i + 210. What is the tens digit of (i + 0)\/(-4 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/3 - 390839*f**3\/3 + f**2 + 1172515*f\/3 - 781678\/3 = 0.\nAnswer: -390839, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405))*-3*5.\nAnswer: -135*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 4*v**2 + 2*v + 1. Let p be h(4). Suppose -4*l = 5*o - p*l - 60, 3*l = -5*o + 28. Calculate the least common multiple of 9 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982036*y + 4*y**2 - 982036*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) -8 (c) 22115.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - 0.4. Let f = 27 - 26.6. Let g = 1.9 + -2. Which is the nearest to g? (a) m (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2850640 * 3\nAnswer: -8551920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6020495mm?\nAnswer: 0.0006020495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1800, -1923, -2046, -2169?\nAnswer: -2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -8*v - 24, 183*c - 184*c - v = 8 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/5, 6\/17, 1\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, 13 in increasing order.\nAnswer: -3, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -951*p + 35*p**5 + 951*p + (-5*p + 4*p - 4*p)*(-4*p**4 + 2*p**4 + 4*p**4) - p**5 - 5*p**5 + 2*p**5.\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.28+1582823888\nAnswer: 1582823888.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140198*x**3 + 80*x - 293?\nAnswer: -841188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -66. Suppose -9*q - y = -q. Let k(b) = 3*b + 6. Let n(v) = v. Let w(z) = k(z) - 2*n(z). Determine w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.6 times 689.304\nAnswer: 24539.2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(10 + -1 + 5)*19\/228*-12?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 15*o + 4. Let y be l(15). Let f(x) = x + 4. Let h be f(-4). Solve s + y*s + 25 = h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8\/5, 6, -3\/8 in decreasing order.\nAnswer: 6, 5, 8\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g. Let u be s(-2). Let d(c) = c**3 + c**2 + c + 5. Determine d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33279\/29 or -28?\nAnswer: -33279\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*p = -1499*p - 3503*p + 510020 for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 5321640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n**3 + 56*n**3 - 103*n**3 - 3*n**2 + 3*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**4 + 307*g**2 - 94*g + 1?\nAnswer: 48*g**2 + 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2529 times -171?\nAnswer: 432459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7*w)\/w**(-6))\/(w*w*w**(-2\/5))**(-38) assuming w is positive.\nAnswer: w**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 - 6*h - 5. Let q(y) = 14*y**2 + 103*y + 88. Let l(a) = -9*a**2 - 68*a - 59. Let x(z) = 8*l(z) + 5*q(z). Let u be x(-13). Give f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92.45 - 24391420.96\nAnswer: -24391513.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*j + 4 - 152*j - 290*j - 4.\nAnswer: 335*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 917075633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 + 396397935*i**2 = 0.\nAnswer: 0, 79279587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hntd when four letters picked without replacement from tdggitinhigiiihihhgh.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/8 + 97*g**3\/2 - 5256*g**2 - 10658*g + 3478. Factor a(h).\nAnswer: -(h - 146)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a4 (base 11) to base 15.\nAnswer: -21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 15?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122910507 and 379?\nAnswer: 122910128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10280*c - 11236*c + 51624 = 0 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let d(m) = -m - 1. Let s(k) = d(k) - z(k). Let p(x) = -548*x + 6. Let c(j) = -638*j + 7. Let f(u) = -6*c(u) + 7*p(u). Determine f(s(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -218. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -148, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 88 + 68 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10690947 and 1157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)\/t**(4\/7)*(t\/(t*t**(-2)*t))\/(t*(t\/t**(-2))\/t) assuming t is positive.\nAnswer: t**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + b**2 - 4*b**2 + (3 - 3 + 2*b)*(-21*b + 749 - 749) to c*b**2 + q + v*b and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r. Let n(m) = -36*m + 10. Let g(l) = 473*l - 132. Let u(i) = 5*g(i) + 66*n(i). Give u(h(o)).\nAnswer: -99*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -31602?\nAnswer: -31585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 3, m: 2, k: 1, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:51 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408701181.\nAnswer: 179, 569, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owuv when four letters picked without replacement from {y: 2, u: 1, d: 1, w: 2, o: 1, v: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -858.1 - -858.1. Let g = -3 - -3.5. Let u = g + t. What is the nearest to 0 in 2\/7, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 + 2 - 0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*((2 - 5 + 1)*(-3*w - w + 5*w) + 23*w - 36 + 36).\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1055*o**8\/336 - 301*o**5\/30 - o**4\/24 + 2*o**2 + 119. Find the third derivative of f(u) wrt u.\nAnswer: -63300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 1, i: 3, a: 3, v: 1}. What is prob of picking 1 g and 1 v?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137241, -274481, -411721?\nAnswer: -548961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5542 is divided by 622?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21081984 divided by 4224.\nAnswer: -4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a0 - 126?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 3\/5*p**5 - 2*p**3 - 124*p - 1\/10*p**6 - 15\/2*p**2 + 3\/2*p**4 + 0. Let h(y) = 0. Calculate y.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*f**2*p**2*y - 19*f**2*y**3 - 2*f*p**2*y**2 + 3*p**2*y**4 - p*y**4 + 10*p*y**2 wrt y?\nAnswer: -114*f**2 + 72*p**2*y - 24*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 319*l**4\/4 - 343*l**3\/3 + l**2\/2 + 121. What is the third derivative of x(o) wrt o?\nAnswer: 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 74 - 4)*(2 - 2 + 2)*(0*t - t + 2*t).\nAnswer: 166*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 819.54495 milliseconds?\nAnswer: 0.000227651375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33986159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8254*k + 7687*k + 23814 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4272*l + 4183*l = -1869 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 = -c, 0 = f + 20*c - 24*c + 5. What is the highest common divisor of 2898 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -38*o - 534. Let j be b(-14). Let p be (148\/(-2))\/(-8 - -10). Sort 1, j, p in decreasing order.\nAnswer: 1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 0*x + x + 4*x + 0*x - 5*x + (3 - 2 + 0)*(0 + 0 + 2*x) + (-x + 3*x - x)*(1 + 0 + 1).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293 + 292.95. Let w be 2\/2*(-2 + 1). Which is the biggest value? (a) -5 (b) t (c) 2\/9 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 30 - 15)*(c - 6*c + 3*c)*(2*c**3 + 0*c**3 - 3*c**3) as l*c**2 + v*c + r*c**4 + k + w*c**3 and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.7 - 6.7. Let f = -0.4 - -0.6. Let k = -4.8 - f. Sort o, 2\/3, k in increasing order.\nAnswer: k, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*c + 143*c - 941 = 731*c - 10426 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r**2\/7 + 3328*r\/7 - 180\/7 = 0. What is r?\nAnswer: -90, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100077232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446246727.\nAnswer: 3, 709, 209801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaggayagaye. Give prob of sequence gy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 41*v - 28 = -43*v, 0 = -2*l + v + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 2. Let n(c) = 2*c + 1. Let h be n(-6). Let a(j) be the third derivative of j**5\/60 + j**3\/6 + 3*j**2. Calculate h*a(d) + 6*o(d).\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -2 (b) 0.3 (c) -3 (d) 0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -27. Put h, 5, 3, -5 in descending order.\nAnswer: 5, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -36. Let r = 114 + p. Let g = r + -38. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23870.3 nanometers to meters.\nAnswer: 0.0000238703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*m + 95*m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1968 - -1970. Let p(i) = 11*i + 3. Calculate p(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5178+-1841\nAnswer: -1842.5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1256424 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(220)\/sqrt(11) + sqrt(5) - (sqrt(40)\/(sqrt(8) + sqrt(128) - sqrt(8)) + sqrt(5))))**2.\nAnswer: 21*sqrt(5)\/2 + 389\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137806 is divided by 182?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-p + 1 - 1)*(40*p + 67 - 67).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11706.36205044 take away 0.04?\nAnswer: -11706.40205044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 26*w + 136. Let q be a(-7). Let d be (8\/(-28))\/((q\/(-14))\/3). Solve -d*x - 15 = -23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/96 and 43\/276.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 63867455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuqqkpk. Give prob of sequence pu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -67. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -677? (a) 1\/5 (b) 237 (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006295 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, u: 3, k: 9, w: 2}. Give prob of sequence wuiw.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -171*y + 17380. What is s(128)?\nAnswer: -4508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.411 nanometers in meters?\nAnswer: 0.000000870411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000584414411 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-11)\/(-132)*(-3783)\/(-2). Calculate the common denominator of 25\/(-10)*m\/11570 and -81\/2.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -560, -887?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9537.708 micrograms?\nAnswer: 9.537708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2178*s - 644 = -27*s + 46678 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/13 - 40*a**3\/13 + 42*a**2\/13.\nAnswer: -2*a**2*(a - 1)*(a + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11782.1 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64617 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 574 and 459.\nAnswer: 263466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 36*i**2 - 21*i. Let w(f) = -7*f**2 - 4*f. Determine -2*q(d) + 11*w(d).\nAnswer: 2*d**3 - 5*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1675?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3923538, -7847070, -11770602, -15694134?\nAnswer: -19617666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, 8, -1861 in ascending order.\nAnswer: -1861, 8, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254909088 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/14 (b) 2\/7 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 259, -30 in decreasing order.\nAnswer: 259, 2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 193\/11 <= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199111?\nAnswer: 11, 23, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 10. Let j be k(-7). Suppose -3*x - j = -9. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44392407.3 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*d - 18 = -0*d, -2*l + 3*d + 10 = 0. Suppose -l*c + 6*c - 380 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (17113596\/(-20))\/((-33)\/55) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 + 1953*z**3 + 23274*z**2 + 69660*z.\nAnswer: 3*z*(z + 6)**2*(z + 1290)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + (sqrt(34) + sqrt(1666) + sqrt(1666) + 1*sqrt(1666) + sqrt(1666))\/(sqrt(4)\/(1*sqrt(2))))**2.\nAnswer: -174*sqrt(17) + 14306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 18 = 2*q, 21*q - 17*q + 2*r - 20 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 22 = -9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -504630, -1009320, -1514010, -2018700?\n\"Answer: -504690*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x\/(x**(-16)\/x*x*x)))\/x**(-22))**(-8))**(-27) assuming x is positive.\nAnswer: x**1080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 69*a + 222. Is m(39) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138 + 3\/((-9)\/(-6)). Let u = w - -41. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19868557*n**5 - 13*n**2 + n + 37234 wrt n?\nAnswer: -1192113420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019718 rounded to five decimal places?\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, s: 3}. What is prob of picking 2 d and 2 s?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*d - 3*a, -5*d - 2*a + 2 = 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 0 + 0)*(-4*i**3 + 0*i**2 + 0*i**2 + (2 - 2 + 4*i)*(0*i**2 + 0*i**2 - i**2)).\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -107089*s + 53644*s + 53651*s. Let y(o) = 2*o. Give y(t(x)).\nAnswer: 412*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -1 + 1 + 8*r**3 - 9*r**3 + 3*r. Let j(n) = -n**2. Give j(i(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.0359 centuries to millennia.\nAnswer: 40.80359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*u - 4*u + 5, 3*j - 9 = -3*u. Let b(k) be the second derivative of k**4\/6 - 4*k**3\/3 - 7*k**2\/2 - 2*k. Is b(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + 2 + (-17034)\/(-9). Suppose -j = -5*f - 270. Find the first derivative of -18*y**2 - 325*y + f*y + 18 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**2 - q + 1. Let z be b(1). Let c be z\/3 - (-4)\/(-12). Solve -2*w = c*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86093 - 86093.0479938. Let g = l + -2.4520982. Let u = g - -2.5. Round u to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.97, -2\/13, -8, 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418 is divided by 5035\/570 - (-28)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - s**3 + 0*s**3 + s - 3 to the form b*s**3 + l + f*s**2 + o*s and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.554375l in millilitres?\nAnswer: 7554.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3 - 3 + (-1 + 2 + 0)*(-6*y + 3*y + y) + 0*y - y + 0*y - y + y + y - 5*y + y + 2*y + 2 - 2 - y)*(-y**4 + 1808*y**2 - 1808*y**2 + 53*y).\nAnswer: 6*y**5 - 318*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2093 + -797. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13746491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/(-16)*244\/366.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - ((-11 - (1 - 10)) + 8)) + 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -350*((-3)\/(-1) - 16003). What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107943, -113357, -118773, -124191, -129611?\nAnswer: -135033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34404563 and -0.2.\nAnswer: 6880912.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8 + 6*s**3 + 0*s**3 + 6*s**2 + 4*s - 5*s**3. Calculate the least common multiple of g(-4) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 14. What is the biggest value in -3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-30)*1*5. Let d be 4 - (g + 32\/(-4)). Solve 3*m - 5*w + 11 = 0, w = 5*m + d - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 4*k**3 - 1 + k**2 + 0*k**3 - k - 3*k as j + m*k**3 + i*k + x*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/5)\/((-4)\/20). Let r(o) = 15*o - 9. Let h be r(3). Suppose -u + h = m*u. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*q + 1700 = -q, 3*q = 0. Let p = b + 543. Calculate the remainder when p is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 8 + 10 - 5*z)*(-3*z + 3*z - z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-156)\/(-6) + (-1 - -2). Let m = -9 + v. Suppose 16*c = -11*c + 3888. What is the highest common factor of m and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-7)\/(-2) - (1 - 2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 + 5*u - 2. Let k be p(-5). Let q(i) = -18*i - 1. Let g be q(k). Calculate the greatest common divisor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1587933 (base 11) to base 5.\nAnswer: -1143020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**3 + 6*k**2 + 3*k. Let t be ((-92)\/690 + 16\/(-15))\/(10\/(-25)). Let b(g) = -12*g**3 + 11*g**2 + 5*g. Give t*b(y) - 5*z(y).\nAnswer: -6*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*q + q + 4*q)*(0 + 4 - 1) + (0 - 1 + 0)*(3*q - 5*q + q).\nAnswer: -47*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 19. Let b(f) be the third derivative of 0*f - f**3 - 7\/20*f**a + 9\/8*f**4 + 4*f**2 + 0. Let b(w) = 0. Calculate w.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1226*q*s**4 + 36*q*s**3 - 15015*q*s**2 - 18*q*s + 2*s**4 wrt s?\nAnswer: -29424*q*s + 216*q + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2510 - -7488. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497798 and 5476.\nAnswer: 36837052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 2. Determine x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 774*-0.5\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*8\/288*(-3)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (149 - 5) + (-6 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.9 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126115082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.3 + 48.3. Which is the smallest value? (a) t (b) 1 (c) -123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4863?\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 241440 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + 4*sqrt(1100))**2 - ((sqrt(11) - 1*sqrt(33)\/sqrt(3)) + (sqrt(11) + (sqrt(11)*-1)**2 + 3 - sqrt(11)))*-6.\nAnswer: 160*sqrt(11) + 17690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 10*u - 6. Let i be f(8). Let g = 1811 + -1651. Calculate the greatest common divisor of g and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/((-2)\/(-10)). Let v(w) = 26*w + 2 - 44*w - a. What is v(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377 - -379. Solve i*y + p = -2, y - 5*y + 5*p = -10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -75, -6, 28, 18, 20?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -894 (base 13) to base 4\nAnswer: -113001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f - 11. Determine g(-8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3429 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-88.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Let v = -5.2 + x. Let d = 0.1 - -0.1. Which is the nearest to 0.1? (a) d (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + -2 + -1.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424643 is divided by 9673?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 108*x**3 + x**2 - 2*x + 1. Let q be v(1). Let j = 5947 + -225999\/38. Find the common denominator of j and 309\/q - (-6)\/27.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 75 + 4511*x - 4499*x - 18. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29109?\nAnswer: 3, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/9)\/((-74)\/(-111))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12*f + 9. Let w be 1\/(-2)*(-10 - -2). Suppose w*h = -l - 4, 4*l + 29 = l + 5*h. Does 35 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:35 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 9\/4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 + 5*z - 5. Let a(r) = 23*r - 14 - 14*r - 20*r**2 + 5*r. Let s(c) = -5*a(c) + 14*v(c). Let t(q) = 54*q**2. Determine s(t(w)).\nAnswer: 5832*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-30))\/(132\/18920).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*d - 12 - 197 = 0, -2*d + 6 = 0. Let m = h + -7. Let i = -15 + m. What is the greatest common factor of 90 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 9, a: 3, v: 2}. What is prob of sequence vv?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/8 + 153*i**2 - 1227*i\/2 + 614.\nAnswer: (i - 2)**2*(i + 1228)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6767*s - 252. Calculate d(0).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z - z. Suppose 255 = 3*v + 4*l - z*l, l - 252 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148302056.\nAnswer: 2, 3, 11, 1151, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 1. Let w(n) = -40*n + 25. Let l(a) = w(a) - 25*y(a). Let c(v) = 263090 - 2*v**2 - 263090. Give c(l(p)).\nAnswer: -450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 7, 0.11, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56129392 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:15 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4032557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16662*v + 16663*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2 (c) 37152 (d) 1.8 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 19 = x + 13, -3*u - 6 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 13*d**5\/60 - 8*d**2. Let h(c) = -c. What is i(h(k))?\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 1 - 6 + 1 + 2*y - 3 + 3 + (-3*y + y + y)*(-4 + 3 - 1) - y + 2*y - 2*y - 145*y - 50*y + 52*y + 2*y + 0*y - y to z + d*y and give d.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 140 (b) 3 (c) -1.03 (d) -3\/5 (e) -3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 68690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -192*s + 206*s + 1 - 1 - 2*s**2. Let q be v(4). Let w = 21 - 18. Solve 5*m + i - q = 0, -4*m - 7*i + 32 = -w*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36755*p + 36748*p + 119 = 0. Solve -35*o = -p + 52 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8878206511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 3\/5, -1\/9 in descending order.\nAnswer: 3\/5, -1\/9, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -874 + 1229. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353455 (base 7) to base 10.\nAnswer: 63691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3025 + 3028. Factor -4*x - 4\/3 - 5\/3*x**2 + 3*x**4 + 4*x**s.\nAnswer: (x - 1)*(x + 1)*(3*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 8)*69 - 2\/(-2) is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3790 and 4050?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -6*u**2 + 1\/28*u**4 - 1\/70*u**5 + 0 - 1\/21*u**3 + 0*u + 1\/420*u**6. Factor w(d).\nAnswer: 2*(d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {y: 1, g: 18}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19594*n**3 + 5*n**2 + 2*n - 1. Let j be d(-3). Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 9*t + 21. What is the remainder when 101 is divided by w(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8*k + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 7) to base 5\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 96*z + 315.\nAnswer: -3*(z - 35)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 20 - 32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065979 to five dps.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/90)\/((-3)\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3\/7 (c) 0.1 (d) -101 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 12*y**2 + 15*y - 14. Let n be d(13). Factor -3*j**2 + 0 + 4*j**4 - 12*j + 7*j**2 + n*j**3 - 8.\nAnswer: 4*(j - 1)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02178, -15\/8, -0.5?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*x - k + 12, 2*k = 5*x - 81. Let s be (2 - 1) + (3 - -3). Suppose -s*c = -2*c + x. Let d(a) = a**3 + 5*a**2 + 5*a + 2. Determine d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) -47 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-45 - 4 - -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:49 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 8*v**2 - 11*v + 21. Let y be z(9). Find the second derivative of -8200*b**2 - 8*b + 8200*b**2 + 32*b**y wrt b.\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**2\/2 + 3*h - 3. Give u(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/3371 and -29\/447.\nAnswer: 1506837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/28, -1\/6, -5781.\nAnswer: -5781, -1\/6, 45\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12343 or 12344?\nAnswer: 12344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 621091099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309234 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 12. Suppose -3*n - 51 = 93. Let l be (1\/(-5))\/(n\/(-60)). What is the closest to -0.1 in l, v, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428717, 1428713, 1428707, 1428699?\nAnswer: 1428689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31504252 and 12324?\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*z + 45045 = -33980, 158034 = 2*g + 4*z. List the prime factors of g.\nAnswer: 13, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 109331 and 109330 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 9587?\nAnswer: -9555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49576601?\nAnswer: 137, 361873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 6*l - 745 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.03189?\nAnswer: -0.006378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:13 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39979*p + 79987*p = 39914*p - 6862 for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 - 10*q - 40. Let b be p(12). Calculate the highest common factor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-2) + (-109 - 3444\/(-21)) + (10 - -2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*f + 29. Let g be 2\/f*(-14145)\/2. Suppose -15*s = -10*s - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045*18.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v. Let y(z) = 3*z. Let a(h) = 3*m(h) + 4*y(h). Let g(q) = -3*q. Suppose 5 - 13 = -2*r. What is r*g(w) + 3*a(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2828 + -2825. Let h = -2 + -3. Sort k, -1, 1, h in increasing order.\nAnswer: h, -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*z - 4 = 0, 5*o + 189*z = 192*z + 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 449392 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 20*d**2 - 378*d**3 - 119*d**4 + 375*d**3 + 120*d**4 + d to the form p*d**3 + i*d + h*d**2 + f + x*d**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16808 divided by 5?\nAnswer: 16808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*2)\/((-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (2 + 2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55637*x + 34 = 55674*x - 928 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1125, -1126, -1135, -1158, -1201?\n\"Answer: -u**3 + 2*u**2 - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -432600 to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*g + 144 - 912 = 0, -3*g - 250 = -b. Let o = b + -27. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.832 - -63.5804. What is o rounded to 1 decimal place?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 34. Let z be l(10). Calculate the highest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*w**3 + 5*w**2 - 557*w - 10469287?\nAnswer: 135*w**2 + 10*w - 557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 16 + 9*b + 13*b - 14*b.\nAnswer: 18*b + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:29 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(684) - (sqrt(684)*1 + sqrt(684))*-3))**2 + 0.\nAnswer: 1206576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -41d0f (base 16) to base 7\nAnswer: -2201646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -722 not equal to -182562\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 558, 696, 984, 1476?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3398179 (base 12) in base 13?\nAnswer: 208a634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j + 3*j + 2*j - 18*j**2 + 3*j + 2*j. Let t(m) = -17*m**2 + 4*m. Calculate -4*b(x) + 5*t(x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 614110.5 hours?\nAnswer: 2210797800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 3, x: 1, n: 1, c: 4, h: 1}. What is prob of sequence inp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*r = -1004 + 997, 8*i - 2*r + 0*r = -5*i - 47 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 - q + 6. Let r be l(4). Suppose -j + 76 = 2*z, r*z = -2*j - 3*z + 151. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 753471756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 + 26*o - 89. Let w be x(5). Solve 255*p - w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108751083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -330584 at most as big as -330584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 3*r**2 + 84*r - 235. Calculate g(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4553811, -9107622, -13661433, -18215244, -22769055, -27322866?\nAnswer: -31876677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 29. What is the units digit of d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4019 is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose z*h + 5 = -5, -3*h = 5*j - 35. 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(t) = -2*t**2 + 5*t + 479. Calculate n(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150573 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/18)\/(2\/(-3)). Let y(z) = v*z**2 + 27*z**2 - 27*z**2. Let m(f) = -4*f**2. What is m(y(l))?\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-10))\/23*4\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531698?\nAnswer: 2, 83, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5643813657.\nAnswer: 3, 131, 14360849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -36, -5, -3, 14, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 302346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 1. Let u(m) be the first derivative of m**2\/2 + m - 7472. What is -2*p(k) + 4*u(k)?\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -30*r + 788. Let l(k) = -k - 13. Calculate the lowest common multiple of l(-17) and h(24).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1340 - -143201?\nAnswer: 141421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x + 2*x**2)*(-7*x - 3*x + x) + 160*x - 318*x + 3 + 160*x + 3*x**3 + x**2 to j*x**2 + a + h*x + z*x**3 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k. Let h(x) = -x**3 - 9. Let w(y) = -h(y) + 5*q(y). Let o be w(-4). Suppose c + 2 = i, -o*i - 8 = -0*c + c. Which is smaller: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -180?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/4 + x**3 + 2*x**2 + 4*x + 2. Determine o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 2085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 130 = 2*n, -6*h + 3*h = 4*n - 100. What is the remainder when h is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 39*q - 2 - 43 - 35 + 212*q. Let c(a) = -a + 3. Let i(o) = 6*c(o) - u(o). Differentiate i(n) wrt n.\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 + 4053*b**3 - 24402*b**2 + 32568*b = 0?\nAnswer: -1357, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*p - 32, -5*z = 1277 - 1257 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7162 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -1506, -2261, -3018, -3777?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(0*q + 3*q - 2*q) - 2*q - 3 + 3 - 141 - 42*q + 141.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s - 29. Let k(y) = -9*y - 30. Let r(q) = -5*c(q) + 6*k(q). Let x be r(-8). Let h(u) = u**2 - u - 3. Calculate h(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5397?\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9969 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**4 - 3*m**3 + 9*m**2 + 3242 wrt m.\nAnswer: -20*m**3 - 9*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10, 85.3, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267374565 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -934*r + 936*r, 28*g + 171 = 5*r for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2. Let r(f) = 26*f. What is r(d(a))?\nAnswer: 416*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 56 = c. Let q be 27\/(-108) - ((-26)\/8 - -1). Suppose q*i + 3*y = 38, -2*y + 4*y = 4*i - c. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/19)*t)\/(t**(-2)*t)*(t*t**15)\/t**9 assuming t is positive.\nAnswer: t**(188\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p - 119 + 11\/2*p**2. Let z(c) = -13*c**2. Determine z(f(n)).\nAnswer: -1573*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232303223321 + -101?\nAnswer: 232303223220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 420*d - 426*d - 20 = 0, r + 2*d - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.04, 68, 1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q + 486 = 12 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45514416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805925 divided by 120395.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-5)\/(10\/(-8)). Suppose u*v = 212 - 88. Suppose 4*w + v = 91. Solve 0 = -2*p - p - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkktetmekxeeehkkkme. What is prob of sequence tmm?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/53255 and -9\/41272625.\nAnswer: 41272625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 207. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*t**6 - 346*t**4 + 4*t**2 + 107385?\nAnswer: -28560*t**3 - 8304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - 287. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*r - 16, 0 = -5*p + 3 + 7. What is the second derivative of -2*w**r + 0*w + 4 - 5*w - 4 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let l = -0.26 + -1.74. Which is the nearest to 1\/4? (a) l (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66368 is divided by 21938?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*v + 94, -3*n + 133780 - 133669 = 6*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111101111110 - -10?\nAnswer: -1111111101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7934 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -34*m + 78. What is the smallest common multiple of 5 and m?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932458?\nAnswer: 2, 131, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*m + 4*n, 3*n = 3*m - 5*m + 71. Suppose 2*t + 8*p - 10 = 9*p, 16 = -4*p. Suppose u = t*u - m. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let g(u) be the second derivative of -13*u**4\/6 - 6*u. Calculate c(g(a)).\nAnswer: 676*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.4, -1\/62, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 2673 = 773. Let s = r + 208. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - t = -62, -4*l + 3*t = -2*t + 118. Let s be (-32)\/l*0\/(2\/(-1)). Let u = 68\/3 - 337\/15. Which is the closest to s? (a) 1\/8 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4792499901 to the nearest integer?\nAnswer: 69228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6 + 3*s + 6. Let b(z) = -2*z**2 + 2*z**2 - z**2. Determine b(c(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800 = -362*a + 352*a. Let f = a - -317. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-1 + 1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(-2)\/(-6))\/((-4)\/8*2). Let j = 1.1 - 6.1. What is the closest to x in j, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3785, 3674, 3565, 3458, 3353, 3250?\n\"Answer: l**2 - 114*l + 3898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3701 and -3702 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 5*k + 96, -4*j = 4*k + 92. Which is the nearest to 2? (a) -4\/3 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*j + 2*j. Let t = -12 - j. Solve t = i - 1 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 13*n**2 - 5*n - 3. Let i be (-2)\/(-2 - 4)*-6. Let u = -11 + i. What is the remainder when m(u) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 31. Let i = 0 - 0. Let a be j(i). Let u = -33 + a. Sort u, -3, 4.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5478753894 by 6.\nAnswer: 913125649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/11)\/(1344\/1232)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44950\/651 - 69)*28\/(-6))\/((-2)\/(-33)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 11*s - 1. Calculate y(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837 = -3*k - 0*k. Suppose -191*w + 188*w = -k. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 + (-4652)\/(-16). Is ((-8)\/(-10))\/(4\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/503 - -1493\/4024. Suppose 4*k + 164 = -52. Let r be (-10)\/(-26)*k\/135. What is the biggest value in r, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1393 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 351 = 3*y, 3*t - 94 = -2*y + 168. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14088509 to the nearest integer?\nAnswer: 3753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 528459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936*w - 1 = 1935*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 - k. Let n be w(-2). Suppose -3 = u - 4*j + 5, -2*j = -u - n. Suppose -b = 3*q - 4, 5*b - u*q + 6*q - 33 = 0. Which is greater: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30502910237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 - -204. Let g(j) = 11*j**2 - 2*j. List the prime factors of g(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 81 + 97 = 0. Solve h*v + 41 - 13 = -5*d, 0 = d - 2*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5718183km in centimeters?\nAnswer: 57181.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156.157 + -156. Let t = -0.357 + h. Which is the closest to t? (a) -5 (b) 45\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.208929516692 and -0.5?\nAnswer: 0.291070483308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/63 of a week in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 16) in base 14?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) 1\/4 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -525*t**3 + t**2 + 3*t + 1. What is the units digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {a: 2, r: 2, v: 7, f: 1}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -448, -450, -454, -460, -468?\n\"Answer: -g**2 + g - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/6)\/7 + 7\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 16778 - 33523 + 16775 - 2*n + 5*n - 2*n - 3 + 2*n + 3 + (-3 - 1 + 3)*(n + n - 3*n) + 2 - 2 + 2*n + n + n - n to d + v*n and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:56 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 412 times -1\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -54, -103, -166, -243?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c = 39*c + 10. Suppose 5*q - 2667 = c*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 73*z - 71*z = 112, 0 = -4*n - 17*z - 18 - 15 - 41 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 23*b + 8*b + 15*b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 2, a: 2, p: 4, f: 2, v: 3}. What is prob of picking 1 p and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 136.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxt when three letters picked without replacement from {m: 5, x: 4, r: 7, t: 2}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 - (-9 - (0 - 15) - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/63*7\/(-2). Let w = -2113.6 - -2138.6. Which is the closest to w? (a) 3 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206264 = 251*g + 221*g. What is the highest common factor of 529 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -14*k + 3195. Let n = k - 268. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*n**2 + 26*n**2 - 3*n**2 + 64*n**2 in the form v + u*n**2 + r*n and give u.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 226 = 4*l, -2*l = 4*x - 531 + 89. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i*i*i**(4\/5)*i)**(-10\/7) assuming i is positive.\nAnswer: i**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/5, -12\/11, 0.3 in decreasing order.\nAnswer: 0.3, -1\/5, -2\/5, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 0, 3*s = 4*i + 15 + 149. Suppose 76 + s = g. What is the least common multiple of 40 and g?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*g + 2*g**2 - 8 + 116*g - 4*g**2 + (g - g - g)*(12*g - 2*g - 3*g).\nAnswer: -9*g**2 - 12*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -16, 101, 264, 473, 728, 1029?\n\"Answer: 23*j**2 + 2*j - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - v**2 + v**2 + (5 - 1 - 2)*(2*v**3 + 2*v**2 - 2*v**2) - 8*v**3 - v + v to s*v**3 + k*v**2 + i + u*v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/10) + (-161)\/(-5). Let x = f + -19. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 19. Suppose p*h - 254 = 11*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 + 697. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086620904 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(11\/(-12298)). Let b(j) = -85*j**2 - 3*j - 4. Let w be b(-3). Let c = w - v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*33\/11*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + b - 1)*(b + 0 + 2 - 37510*b**2 + 37490*b**2).\nAnswer: -20*b**3 - 19*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) - 21\/162*-114. Solve -6*u + 27 = -q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4283990189 to the nearest integer?\nAnswer: 65452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-11 - -1) - (139 - 159) - 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 16750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -56. Calculate the lowest common multiple of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -194068, -776237, -1746556, -3105055, -4851764, -6986713, -9509932?\n\"Answer: -5*a**3 - 194045*a**2 + a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 61. Find g such that 8*g**2 - 2*g**p + 40*g**3 - 6*g**2 - 256*g + 2*g**4 + 4*g**2 + 256 - 6*g**4 + 10*g**2 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*j**2 + 534*j**2 - 1614*j**2 + 534*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54542678 times 4\nAnswer: -218170712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308\/3 or 940?\nAnswer: 940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*t - 3, 0 = 3*w - 3*t + 12 - 30. Solve -3*c - w*k + 12 = 0, -5*k + 20 + 0 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23756, 23754, 23742, 23714, 23664, 23586, 23474, 23322?\nAnswer: 23124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 3*z - 41. Let v(w) be the second derivative of w**4\/12 - w**3\/3 + 41*w**2\/2 - 3448*w. What is -2*n(m) - 3*v(m)?\nAnswer: -m**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 30. Suppose -10*u + 22*u = 24. Suppose 108 = -10*d - u*d. Calculate r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1366, 69\/5, -0.1 in ascending order.\nAnswer: -1366, -0.1, 0.8, 69\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.1 (c) -1\/31 (d) -0.86 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 3*k. Let l be r(4). Let d = l + 78\/7. What is the common denominator of d and (((-414)\/(-4))\/3)\/(27\/(-12))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:31 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56424?\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14755?\nAnswer: 5, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6001 * -18.\nAnswer: -108018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.0902 litres in millilitres?\nAnswer: 469090.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from dnoddoondd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87541187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 27 = r, h - 1057 + 1055 = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1624, -1626, -1628, -1630, -1632?\n\"Answer: -2*m - 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 13*o**2 - o - 9. Let k be a(-13). Suppose -k*t + 740 = 5*v + 92, -2*t + 654 = 5*v. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s. Let v = -29 - -20. Let u(h) = 7*h - 9. Let z(k) = 3*k - 4. Let i(y) = v*z(y) + 4*u(y). Determine i(a(q)).\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2*6\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 2 w when four letters picked without replacement from {e: 3, w: 2, n: 1, s: 4, y: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2057*d + 2066*d - 135 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3885235624.\nAnswer: 2, 17, 23, 239, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -q - 1 + 6, -3*o = 2*q - 10. Let i = -0.3 + 0.3. What is the closest to -2 in q, i, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 - 948*x + 47888 = 0?\nAnswer: 73, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011111111100010101 - 1?\nAnswer: 10000011111111100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00227310051 rounded to 4 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3450 and 8590650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**2 - 1\/240*u**5 + 2*u - 1\/6*u**3 - 1\/96*u**4 + 0 - 1\/1440*u**6. Let s(a) be the second derivative of o(a). Factor s(t).\nAnswer: -(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2590814*b**2. Let y(o) = 2*o. Calculate y(h(a)).\nAnswer: -5181628*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 - r - 3. Determine q(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let d(o) = -4*o - 2. Let s(v) = 11*v - 19. Let u be s(3). Let g(l) = -13 + u - 2 - l. What is h*g(m) - d(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4.3. Let a = -97325\/1698 - 9\/566. Let i = a - -57. What is the smallest value in c, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50501, 100896, 151291, 201686?\n\"Answer: 50395*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 11 - 2)*(-l + 0*l + 0*l).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76350976?\nAnswer: 2, 13, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 395 + 1279. Suppose -n - 988 = 5*g + 5*x, -3*x = -5*g - 1801. Let t = g - -511. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -809, -1607, -2381, -3119, -3809?\nAnswer: -4439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**5\/30 + 55*j**4\/24 + 50*j**3\/3 + 3*j**2 - 10*j. Does 18 divide c(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*b + 62 = 0, -b + 16 = -2*z - 5. Which is greater: -14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - (-194)\/10. Suppose -f = -5*z - 4. Suppose -z*l - 2*l + 45 = 0. Solve 2*m - l = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -14*p - 16. Solve 5*f = p*j + 8, -6*f = -5*j - 2*f - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 12*u + 15. Let r(l) = 41*l**2 + 4*l - 5. Let q be r(u). Round q to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*i - 72, 2*i + 103 = 7*i + 4*b. Suppose 3*x - i = -100. Let w = 32 + x. Solve 4*q - 7 = w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -481 divided by 1?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(0 + 8*j + 0) + 0 + 2*j + 0 in the form s + m*j and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mffm when four letters picked without replacement from {f: 2, m: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552 (base 6) to base 3.\nAnswer: -21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/5)*h**(7\/3)*h)\/(h**(1\/9)\/h)**(-12) assuming h is positive.\nAnswer: h**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 + -1.14. Sort 4, 0.4, r, 0.3.\nAnswer: r, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -653\/7 - -93. What is the closest to b in 2\/7, -4, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.81 + 9.1. Let m = 0.09 - t. Let r = m + -4.8. Sort -5, r, 2\/9 in increasing order.\nAnswer: -5, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-72))\/(7\/6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 269000 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -397 - -9523\/24. Find the common denominator of p and -125\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/200 and 19\/2250450.\nAnswer: 9001800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7460.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 15*j - 6*j)*(149*j + 171*j - 34 - 2*j**2 - 332*j) to g*j**2 + d*j**3 + h*j + u and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 30 = 42. Let n be (-32)\/14 - c\/(-84). Let h(k) = -5*k - 8. Let g be h(n). Solve 4*m + 4 = -m - 4*s, -m + 2*s = -g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1900208130 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 1\/2*r**2 + 1\/378*r**7 + 7\/18*r**3 + 5\/54*r**4 - 1\/90*r**6 - 6*r - 1\/30*r**5 + 0. Determine j, given that l(j) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 23. Let s be (-27)\/18 + (-27)\/g. Suppose -y = -0*y + 4, 4 = a - y. Sort 10, a, s in increasing order.\nAnswer: a, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*sqrt(68) + 1 + 5)**2 - ((4*sqrt(68) + 4)*-2)**2) + -1.\nAnswer: -1931 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14171*v**2 - 24926*v**2 + 10984*v**2.\nAnswer: 229*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*s**5 + 0*s**3 + 0*s**3 + (2*s**4 - 2*s**4 - 2*s**5)*(2 - 5 - 6).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-71)\/3)\/(154\/(-66)). Let p = b - -103\/14. Calculate the common denominator of p and (146\/8)\/(105\/12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1204 + 1201. Put 2, -60, y in ascending order.\nAnswer: -60, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g**3 - 6*g**2 - 5*g + 5. Let x(d) = -7*d**3 + 5*d**2 + 5*d - 4. Let c(k) = -6*q(k) - 7*x(k). Suppose -24 = -5*p - 39. Determine c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -379*c**6\/30 - 463*c**5\/30 + c**3\/2 + c**2 - 1024*c. Find the third derivative of a(l) wrt l.\nAnswer: -9096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4145 + 422795\/102. Let t(u) = -u**2 - 12*u - 12. Let p be t(-11). Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 4*r - r)*(88 + 50 - 32)*(-1 + 4 - 4).\nAnswer: -318*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 980644 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 44 - 44)*(2*k**2 + 2*k**2 - 2*k**2 + k - k - k**2 - 2*k + 2*k**2 + 2*k + (-2 - k + 2)*(-2*k + 2 - 2)).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c4 + -2bb?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:33 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6689.\nAnswer: 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 17 = 3*i, -7*g + 35 = -2*g - 5*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 13 + 19. Let a = n - 3. Suppose t = 1, -6*f = -f - a*t - 195. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.0285 (b) -0.2 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 231106051\nAnswer: 1\/231106051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, q: 12}. What is prob of sequence qqq?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -6ab326?\nAnswer: 6ab324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*a - 46 = 0, -5*w - 3*a + 2*a = -40. Let q(r) = -r - 1. Let u be q(5). Let h be (u\/w)\/((-2)\/6). What is the highest common factor of h and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 356094254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 72*v**4 + 614*v**3 - 72*v**2 - 616*v = 0 for v.\nAnswer: -22, -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -743638*6\/(-30) + (-12)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2277 and 2027979?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -604, -612, -620, -628, -636?\n\"Answer: -8*o - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/13)*c)\/c**22)\/(((c*c\/((c\/(c**(4\/19)\/c*c))\/c))\/c)\/c**4) assuming c is positive.\nAnswer: c**(-4403\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*k = -149, -57*x + 55*x = k - 59. Calculate the remainder when 699 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -20*c**2. Let a(w) be the first derivative of w**3\/3 - 15*w + 34. Let r(u) be the first derivative of a(u). Calculate j(r(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/18 + 5)\/(-2 - 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132784, -132785, -132786?\nAnswer: -132787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 + 172. What are the prime factors of r + (2 - -5) + 48?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*m**2 + 107 - 107)*(0*m**2 - 6*m**2 + m**2) + 3*m**4 + m**4 - m**4.\nAnswer: 448*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from nnininiiinnnnnnnnni?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10940?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.12 + 0.01.\nAnswer: -11.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343944 divided by -136.\nAnswer: 2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/12 - 5*a**4\/12 - 5*a**3\/2 + a**2 + 8*a. Let s(p) be the first derivative of c(p). Suppose s(v) = 0. What is v?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qvqejjq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-6 + 15 - 25)*(-2*i**3 + 2*i**3 - 3*i**4).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.046, -1, 0 in descending order.\nAnswer: 0.046, 0, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 192. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 7) to base 13.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**2 - 11*u - 8. Let g(h) = h**2 + h + 2. Let p(b) = -6*g(b) - l(b). Let t be p(-4). Solve c = -c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393\/65930 or -1?\nAnswer: -393\/65930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592196 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2 - c + 3 - 1. Let g(z) = -z. Determine n(g(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 39*x = -28*x + 852 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26571239.79400117 + -26571240. Let b = -0.206 - x. What is b rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4017f (base 16) in base 5?\nAnswer: -31400102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 127*x**3 + 3*x**2 - 4*x + 2. Let h be p(3). Let n = 6855 - h. Suppose 2*w - n = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -218985*k**3 + 71057 wrt k.\nAnswer: -656955*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 + 7*l + 21. Let q be i(9). Suppose -s - a + 4 = 0, q*s - 3*a - 2 = -s. Calculate the highest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-4)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 11. Let y be o(4). Suppose 15 = -3*k + 45. Let f(p) = -p + 15. Let b be f(k). Solve -6*j + b*j = y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/3 + 674284*p**2\/3 + 5394464*p\/3 + 3596352.\nAnswer: -4*(p - 168579)*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -62.962. Let r = 2.262 + x. Let w = r + -2.299956. Round w to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -abc79 (base 13) to base 15\nAnswer: -6263a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10179 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d. Let u = d - -1. What is the tens digit of (-2 - -4)\/(u\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1*99*12\/132)\/1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 114. Let u be 3\/(-1)*a\/(-18). Suppose -33 = -2*n - 2*n - u*y, -4*n - 2*y + 30 = 0. Solve 4*h + 4 = 0, 0 = 2*s - 5*s - 4*h - n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7594010 to the nearest ten thousand.\nAnswer: 7590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(11\/3)*d*(d**9*d*d)\/d assuming d is positive.\nAnswer: d**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*m**2*x**2 + 10300*m**2*x + 157*m*x**2 - 6*m*x + 108*m + x**2 - 1 wrt m?\nAnswer: 542*x**2 + 20600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j = -63*j + 90. Solve -4*v + 3*z - 6 = 0, 3*v - 8 = 5*z - j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1051, 2\/479, -104.\nAnswer: -1051, -104, 2\/479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 174. Determine m(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117809092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 329628763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 + 0*s**2 + 0*s**5 + s + 1\/6*s**4 + 0*s**3 + 1\/10*s**6. What is the third derivative of k(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943651.\nAnswer: 943651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4153531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4) - 2\/4. Suppose -15*l - 51 + 6 = 0. Let k be (d\/l)\/(18\/(-27)). Which is the nearest to k? (a) -1 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1606316 and 22\/1565.\nAnswer: 8031580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1498)\/(-1177) - (260\/110 - 2)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32310233013 + 11?\nAnswer: 32310233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11867858017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41022 - 7?\nAnswer: 41019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 4*f + 4*f)*(-3 - 3 - 2).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3348507 - -3348508.5700142. Let y = 1.57 - h. Round y to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(4\/9)*a\/(a*a**(-2\/3))*a*a**(-5)\/a*a*a assuming a is positive.\nAnswer: a**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 2\/5, -0.3, -1425.79, -2\/7, -12\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 14*s**2 - 8*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/2284854 and 38\/1142427.\nAnswer: 2284854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3833485 - 193112 = 3*x. Let m = x - -2632199. Round m to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181.5 - -181. What is the second smallest value in -2\/57, 9, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2801856 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046354 to 6 dps.\nAnswer: -0.000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40405279111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 37800.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -42*d + 18. Suppose -3*a + 30 = -3*l, 0 = -l - 0*l + 3*a - 20. Let f be t(l). Round f to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q = 74*q - 5372. What is the smallest common multiple of q and 892?\nAnswer: 15164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16379769 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 864 - 651. Calculate the common denominator of 53\/108 and y\/60 - 3*(-1)\/(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 154787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 - (10 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(-3)*(-12)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) + 3)*-6 + 2*(sqrt(832)*1 + sqrt(832))*2)**2.\nAnswer: -768*sqrt(13) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*z = -556*z - 7. Let m be (0\/(-2))\/((-6)\/(-3)). Suppose 4*u - 3 = -t - m*t, 4*t + u - 12 = 0. Solve 4 = t*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 2\/15*t**5 + 0*t + 0 + 0*t**6 + 0*t**4 + 4*t**2 + 2\/105*t**7 + 0*t**3. What is the third derivative of g(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000096509 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4274038 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.5 + 41. Let u = -5.5 + g. Let w = u - 78.9999934. Round w to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 - 11*l\/8 + 15\/2.\nAnswer: -(l - 4)*(l + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 16*h = 45*i - 26, -5*i - 8*h + 9*h - 140 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 28 = 3*f. Solve 3*a + 0*w - f = -4*w, 3*w = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5741 + 2.4259. Which is the third smallest value? (a) g (b) 11 (c) -1\/3 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 26. Suppose 15*f = 78 + 657. Calculate the remainder when f is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -714, -1447, -2198, -2967, -3754, -4559?\n\"Answer: -9*o**2 - 706*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(700) + 4.\nAnswer: 3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*y + 4472 = 334*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225)*-1 - sqrt(1225)) + sqrt(1225) + 5*sqrt(1764))\/((2*sqrt(77)*-1)\/(1*sqrt(33)\/sqrt(3))).\nAnswer: -25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-28))\/(24\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) 1 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000463882 rounded to 7 decimal places?\nAnswer: -0.0000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5335269? (a) -2 (b) 0.5 (c) 5 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 2343*r + 2346 = 0. Calculate r.\nAnswer: -1, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1537 by -1537.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2, -16*c + 358 = -13*c + h. Suppose 0 = -m - 5*o - 22 + 93, -o = 2*m - 106. Calculate the highest common factor of m and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**23\/((q\/(q*q*q*q**(1\/24)*q*q*q))\/q) assuming q is positive.\nAnswer: q**(697\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15525853.\nAnswer: 7, 1307, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17322\/(-4)*(3 + 22\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13564361, -13564372, -13564385, -13564400, -13564417, -13564436, -13564457?\nAnswer: -13564480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 + -261. Let k = 84.99837 + i. What is k rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 86, 251, 544, 1001?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/2*k**3 + 0 + 0*k**6 + 0*k**2 + 0*k**5 + 25\/42*k**7 + 0*k**4 + 17*k. What is the second derivative of g(o) wrt o?\nAnswer: 500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ybbyvbyybyb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109930429\/393 - 279721. Find the common denominator of -33\/917 and t.\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*s*t**2*w - 2*s*t*w - 11*s*w - 38*s + 4*t**2*w + 6*t*w wrt t?\nAnswer: 32*s*w + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12210123 (base 4) in base 9?\nAnswer: -40816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26266 - 26248. Let q(b) = b**3 - 18*b**2 + 6*b - 27. Determine q(n).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 32340?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/483*(-504)\/224?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9475.1m in millimeters?\nAnswer: 9475100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000155261554 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 6.3?\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:54 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 169 - 721 = 0. Calculate the remainder when s is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8787240 divided by -14.\nAnswer: 627660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2122 = 443. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 282*m + 282*m - 13*m**3)*(1239*m + 41*m**2 - 1239*m).\nAnswer: -533*m**5 - 41*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:01 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9573?\nAnswer: 3, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2)\/((-11)\/(33\/(-54)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 56, 92, 144, 218, 320?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-17 - -5) + (-35)\/(-3))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2 - 33138. Let c(q) = -2*q - 23. Let y(l) = -2*l - 23. Let g(i) = 5*c(i) - 4*y(i). Calculate g(m(o)).\nAnswer: 4*o - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.01 + 1.31. Let l = 2.7 + -0.7. Which is the closest to g? (a) 0.2 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)\/d**14*d**(-2\/9)\/d**(-8))**(-4\/3) assuming d is positive.\nAnswer: d**(800\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 2*v + 6, -3*t + 5*v + 1 = 0. Suppose -8 = -6*r + t*r. Solve -3*u = -r*q + 10, 5*u + 11 = q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1146)\/(-10) - 2 - 2\/(-5). Suppose t + 137 = 5*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z - 37. Let x(d) = 26*d - 73. Let t(g) = -13*w(g) + 6*x(g). Let l be t(-3). Solve 9*k = l*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/22339436 and 34\/63?\nAnswer: 201054924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 999\/(-27) - (-107 - (21 - -5))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -785, -772, -743, -692, -613, -500?\n\"Answer: c**3 + 2*c**2 - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/36 + (13\/2 - 6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/21? (a) 7 (b) 3\/2 (c) 1\/517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 46*f**2 + 95*f + 530. Calculate the remainder when c(-48) is divided by 163.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7202 and 4197658?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 12*x**3 - 57*x + 6*x**3 + 57*x to the form y*x + w + j*x**3 + g*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 416*m**2 + m - 6. Let d be b(5). Let f be d + (-2 - -2 - -1). Suppose 3*o = o + f. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 6*u**3 + 26*u**3 - 5*u**3 - 11*u**3 - 3*u + 15 to p*u**2 + j + f*u**3 + o*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 0 + -9 + -84 + 86 + -15?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {f: 3, d: 5, y: 3, i: 1, z: 1, a: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 54. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416 (base 10) to base 9.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326*(77\/14 + -3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-133))\/((-1908)\/1246) - (-201)\/(-3618).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let p(v) = v. Let i(z) = -2*z**2 + 4*z. Let y(m) = -i(m) - 5*p(m). What is 18*n(x) - 2*y(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -201*d + 4. Let v be g(0). Let t be (-4)\/(-1)*1 - 1. Suppose t*o - b = -2, -v*o + 4 = -2*o + 2*b. Solve o*p - p = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7829271897 to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*i = 3, 4*o - 1 = -i - 0 + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3\/7 - 13536*p**2\/7 + 27081*p\/7 - 13542\/7 = 0.\nAnswer: -4514, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100100011 (base 2) to base 5.\nAnswer: -33324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 0 + 5 + (-35)\/(-42). Which is the fourth smallest value? (a) 3 (b) -1 (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-23374)*29)\/(9\/(-15) - 39\/(-90))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 2, t: 2, y: 2, s: 5, a: 1}. Give prob of sequence aftj.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - m - 3*m + 13, 14 = -6*s + 2*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**5 + 2*c**4 + c**2 + 1. Let z(j) = 86*j**5 + 12*j**4 + 6*j**2 - 4*j + 5. Let o(k) = 6*f(k) - z(k). What is the second derivative of o(l) wrt l?\nAnswer: -1840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/42*1\/16*3*-6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6280 = 4*h + 4*j, 8*j - 3*j = -2*h + 3128. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00910832 rounded to 5 dps?\nAnswer: 0.00911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n\/(n**(12\/5)*n))\/n*n)\/(n*n\/n**(1\/18)*n))\/((n**(-2)\/n)\/(n*n**(-11\/5))) assuming n is positive.\nAnswer: n**(-139\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/28 and 31\/51320.\nAnswer: 359240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313000 (base 10) in base 14?\nAnswer: -2626da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14161 - 14160.969894. What is o rounded to 4 decimal places?\nAnswer: 0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:47 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82373 + 82381. Let z(a) be the third derivative of -a**6\/120 + 7*a**5\/60 + 7*a**4\/24 + 7*a**3\/6 - a**2. Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0031 and 77469.6.\nAnswer: 77469.6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*4656\/3432)\/(130\/(-715))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91534 and 1464544?\nAnswer: 1464544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 1202.\nAnswer: -21\/1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d - 4*d)*(-23*d - 12*d**2 + 23*d) as s*d + w + x*d**2 + o*d**3 and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3056 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 105679.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715725 is divided by 948.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 28\/5*g**5 - 32*g**2 + 100\/3*g**3 + 7 - 19*g**4 - 2\/3*g**6 + 16*g. Determine n so that i(n) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, -2 in decreasing order.\nAnswer: 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73914120 and 42236640.\nAnswer: 295656480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96.5 - -105.5. What is the nearest to 2\/99 in w, -3, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 1, -151 in descending order.\nAnswer: 1, -1, -5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405) - sqrt(5) - 1*-1*sqrt(5)) + -3.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*r - 9 + 3, -4*t + r + 21 = 0. Let p(g) = -g**2 + 7*g - 5. What is the units digit of p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6405330?\nAnswer: 2, 3, 5, 89, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 - (4 - (3 + -12))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 180, 276, 376, 480, 588?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1266789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 281042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/3 + 4126*p**2\/3 - p\/3 - 4126\/3 = 0. Calculate p.\nAnswer: -4126, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 397\/(-2)*1*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(140\/6))\/((-384)\/(-2048)*-100)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) + sqrt(132)*-5) - sqrt(132))\/(sqrt(1452)*-2 - sqrt(1452)) + -5.\nAnswer: -5 - 23*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766662101?\nAnswer: 97, 883, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**3 + 1. Let w be y(1). Let j = 146\/5 - 851\/30. Put w, j, 2\/3 in decreasing order.\nAnswer: j, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(50) + -3)*-6)*-1.\nAnswer: -13 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4746.042 rounded to the nearest 10?\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 74 = 3*m + 7466, -5*p + 12320 = 4*m. Is 56 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/3949632 and 71\/3600?\nAnswer: 98740800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23068 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 7.6. Let i = -30984 + 30984. What is the fourth smallest value in i, -7, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let r(c) = c**2 + 16*c + 26. Let p(y) = -r(y) - w(y). Let f be p(-15). Solve -3*q = 2*d - q + 2, -f*d - q - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.074 + 9.084. Let d = 0.2 + 1.8. Which is the nearest to w? (a) -2 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 4\/((-16)\/4). Suppose 2*o - o - 24 = -4*g, 27 = m*o + 3*g. Suppose -o*n + n = -9. Calculate the remainder when 14 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*4\/8)\/(-2). Suppose 5*g + 25 = q, 5*g = j + 3*j + 23. Let o = 39 + j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**3*z**3 + 2*i**3 + 205*i**2*l*z**2 - 267*i**2*l + i*l*z - 2*l*z - 2*l + 2*z**3 wrt z?\nAnswer: -24*i**3*z + 410*i**2*l + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8485 + 8475 + (9 - 1) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 7:09 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128)\/(-14) + 4\/(-28). Let u be 10\/6 + 1\/3. Suppose p - y = -o, -o = 6*p - u*p - 24. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 42*l. Let d(w) = 32*w. Give x(d(j)).\nAnswer: 1344*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u - 13. Let s(p) = 2*p**3 + 0*p**3 + 0*p**2 + p - 8*p**2 - p**u. What are the prime factors of s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f = 139 - 875. Let l(i) = 2*i + 1. Let o be l(2). Suppose 4*y = 3*k + 5*y - o, 4*y + 10 = -2*k. Solve 5*n + k*t - 15 = 2*t, -n - 4*t = f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8888 is divided by 237576\/(-1042)*(-3 + 3*(-4)\/(-6))?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 114\/7. Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*s**2 - l**2*s + l*s**2 + 8617*s**2 - 21*s - 166 wrt s?\nAnswer: -4*l**2 + 2*l + 17234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 32*c**2 + 2 + 3*c - 10*c**2 - 15*c**2 - 9*c**2. Let x(j) = 2*j + 10*j**2 - 11 - 3*j - j**3 - 8*j - 7*j. What is -11*u(o) - 2*x(o)?\nAnswer: 2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -321*x - 34347\/2 - 3\/2*x**2 = 0?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 157 or 155?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -18)*1\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011401?\nAnswer: 587, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001012753038 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046816 is divided by 365?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 1. Let u(g) = 7*g + 1. Let r(k) = -2*q(k) - u(k). Let a(n) = -n**3 - 2*n**2 + 2. Let l = -4 + 2. Let x be a(l). What is r(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/70 and 25\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 2*t**2 - 3*t**2)*(122 - 122 - 26*t**2) + 83*t**2 - 177*t**2 + 38*t**4 + 92*t**2 to the form k*t**2 + n*t + v*t**3 + w*t**4 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 167, 206, 271, 368, 503, 682, 911?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206 + -204. Let u(i) = -y*i + 0 + 17 - 3. What is u(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12211*a + 50 = -12199*a - 430. Calculate the highest common divisor of 865 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6461907 and 94587.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28591 is divided by 5633.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 232375 - 132345. Let u = n + 9993345\/274. What is the common denominator of -17\/4 and u?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119946717059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 + -122. What is the remainder when 119 is divided by d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t - 8. Let l(m) = 5*m - 4*m - t*m - 3*m - 6. What is l(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*a + 10, -7*y = -5*y - 3*a + 2*a + 25 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s. Let h(v) = -5*v**2 + 9*v - 9. Let j be (-3)\/((-28)\/12 + 2). Let u(o) = -2*o**2 + 4*o - 4. Let x(y) = j*u(y) - 4*h(y). Determine i(x(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 94678.9409 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -x + 9*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {w: 1, q: 2, x: 2, r: 6, h: 1, b: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13317 is divided by 1550?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5962 + -5947. Solve o*b + 9 = 4*i + 14*b, 3*i = -5*b + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**5 + 4*o**5 + 11*o**5 - o**5 + 4*o**5 + 0*o**5 + (-4*o**5 + o**5 + 8*o**5)*(-1 + 0 - 1).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/67 (b) 0 (c) -6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-38))\/(3\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25610*n**2 + 22923*n**2 + 10104*n**2.\nAnswer: 58637*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/60)\/(3*4\/9)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fss when three letters picked without replacement from {s: 11, f: 7, r: 2}.\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*7679525.6\nAnswer: 1535905.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241448\/49 + -4928. Let l = 10\/49 + x. Sort 0.2, 0.3, l, -2.6.\nAnswer: -2.6, l, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195582 is divided by 145.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732307.\nAnswer: 1732307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-1)*(c*c**(3\/2))\/(c\/(c**(-2\/5)\/c)*c))\/((c\/c**4*c)**16)**13 assuming c is positive.\nAnswer: c**(4131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 244618 (base 12) to base 16\nAnswer: 8fa74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173\/15 - 51\/5. Determine k, given that 0 + 4\/3*k + j*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*g**2 - 203*g**2 + 103*g**2 + 8)*(2*g**2 + 42 - 42 - 26*g**2).\nAnswer: -72*g**4 - 192*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 + 3\/10*v**5 + 0*v**4 + 0*v**2 - 4*v + 1\/3*v**3. What is the second derivative of n(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 178. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 144.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*z - 251 = -781, -4*z - 534 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/474*(-413)\/(-118)*-3*(-4)\/14?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -202013?\nAnswer: -202015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-6)*2\/1. Let j(z) = -z**l - 5*z - 3*z + 5*z + 2*z + 4. Suppose 0*x = -x. What is j(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -284\/3 (b) -0.043 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 8. Let b(n) = -129*n - 130*n + 409*n - 5*n**2 - 150*n. What is z(b(x))?\nAnswer: -50*x**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, b: 3, c: 1, w: 3}. Give prob of sequence uc.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 61 - 97 + 3. Give c(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5, -681 - 689 = -3*f - 2*v. Suppose 80 = 6*k - 2*k. What is the remainder when 132 is divided by f\/10 + (-12)\/k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*z + 81. Suppose -76*y + z = -87*y. Let i = 116 + -578\/5. Which is the second smallest value? (a) 11 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 3)*(-4 + 5)*1. Suppose -7*l = 15*l - 176. Solve k = -a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -70, 1084, -6, 4, 9 in increasing order.\nAnswer: -70, -6, -3, 4, 9, 1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 320*n. Let b(q) = 88*q. What is f(b(l))?\nAnswer: -7744*l**2 - 28160*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdrrzfdrgkrr. What is prob of sequence kgkz?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2157.2 and 0.8.\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 z, and 1 o when four letters picked without replacement from {g: 2, o: 4, z: 2, p: 8}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 39*h**3 + 17*h**2 - 9*h. Suppose 14 - 8 = 3*x. Let w(j) = 10*j**3 + 4*j**2 - 2*j. Determine x*y(m) - 9*w(m).\nAnswer: -12*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 5*f + f)*(2*f - 6*f - 3*f) + 1000*f**2 - 9822 + 9822 in the form b*f + l + q*f**2 and give q.\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319785, 639566, 959347, 1279128, 1598909, 1918690?\nAnswer: 2238471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 1)\/1 + 0. Let d = 3 - -3. Suppose -l*z + d = -3*z. Solve -4*p - 19 = -k, z = 3*k - 5*p - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472989381.\nAnswer: 3, 67, 181, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149.55297 - -0.03297. Let d = 153 + m. Round d to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 165.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -k - 5*i - 13, 0 = -2*k + 4*i - 26. Let j be (0\/(-3))\/(-3) - k. Let x be (-35)\/(-3) - j\/(-9). Solve -3*h + 8 = d, -d + 3*d + 5*h = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3664 (base 9) to base 7.\nAnswer: -10651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/7 + 276085542*z**3\/7 - 12703871083572294*z**2\/7 + 194853062978121338065186*z\/7.\nAnswer: -2*z*(z - 46014257)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.8. Let k = 72 + -214\/3. Let n = 5 + -27\/5. What is the biggest value in n, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*g**4*u**3 + g**2*u**3 + 47*g**2*u**2 wrt g?\nAnswer: 1296*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 825 and 1 + -4*(-4)\/((-72)\/(-1233)).\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-1 + 0 + 3)*(1274*n - 2 - 1255*n + 2) as l*n + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121728 centuries in millennia?\nAnswer: 0.0121728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhshphqhphphhh. What is prob of sequence hsp?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.6, -2\/3, -2\/19, 0.3, -8 in increasing order.\nAnswer: -8, -2\/3, -2\/19, 0.3, 10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.39 + -2.39. Let k = 0.26 + -0.12. Let f = 1.44 - k. What is the third biggest value in -1\/6, f, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863240?\nAnswer: 2, 3, 5, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6 + 8. Let g = 12 - x. Is g not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000489583169 to seven dps.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 137*c**4 - c**2 - 29*c + 33. Let s(y) = -413*y**4 + 3*y**2 + 94*y - 100. Let h(q) = 17*r(q) + 6*s(q). What is the second derivative of h(f) wrt f?\nAnswer: -1788*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = 1388 - 3548. What is the derivative of -3*v - l + 285 - 222 - 56*v wrt v?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 17505879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -3\/4 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = -2*b, -b = -6*b + 4*q - 24. Let f be 12\/(-81)*(-6)\/b. What is the third smallest value in -0.5, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l - 4. Let p(w) = -11*w + 3. What is -6*n(i) - 8*p(i)?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 + -2 - (7 + -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -3144\nAnswer: -5\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100100010111 + -1101101001101?\nAnswer: -1100010001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -32. Suppose 3*p + 10 = 5*s, -s + 6*p - 2*p = 15. Suppose t = x + s. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/4)\/q))\/(q*q**(4\/3))*(q**(1\/2))**27 assuming q is positive.\nAnswer: q**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of -2 + 6 - (4 - 2 - 3079)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 1\/3, 1.1, 5, -26, -2, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 95*i**2 - 697*i + 98. What is the smallest common multiple of 2764 and v(87)?\nAnswer: 30404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 4*j - 65. Let m(t) = -t**2 - 2*t + 43. Let u(b) = -7*m(b) - 5*p(b). Let u(n) = 0. Calculate n.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431949.6mm in micrometers?\nAnswer: 431949600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1425 in 1, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 divided by -5?\nAnswer: 508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -23. Let g be w\/(-8) + (-5 - -6). Suppose -g*a + 0 + 1\/4*a**2 + 9\/4*a**3 + 11\/4*a**4 + a**5 = 0. Calculate a.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179\/506 or -568?\nAnswer: -179\/506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 5*i)*(4*i - 5*i - i) - 4*i**2 - 14*i + 14*i + 2 - 19*i**2 - 12*i**2 + 32*i**2 + 7*i.\nAnswer: -i**2 + 7*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 13*w - 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + -2 + sqrt(80))**2*-6 + 1.\nAnswer: -773 + 336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 6636*b\/5 - 6638\/5.\nAnswer: 2*(b - 1)*(b + 3319)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {b: 6, q: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -5\/6, -68.64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -483.27 to the nearest integer.\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*h**2 + 18072*g**3*h - 21*g**2*h + 337*g*h**2 - 659*h**2 + 2*h wrt h?\nAnswer: 4*g**3 + 674*g - 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3028181?\nAnswer: 13, 232937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-7) - (0 + 54). Let p be (-4)\/(-24) + 3\/(a\/(-267)). What is the greatest common divisor of 120 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6*g**2 + 3*g - 32. Calculate k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d6 (base 14) to base 4.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8111.5 + -8112. Which is the biggest value? (a) 64 (b) 4 (c) -2\/9 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88183188 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + i - 12. Calculate the remainder when j(5) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -265, -258, -247, -232, -213, -190, -163?\n\"Answer: 2*a**2 + a - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - -1 - (-41 - (-53 - -31))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/34)\/((20\/(-8)*4)\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -15*f + 846 + 351. What is the greatest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40*27706.93\nAnswer: -1108277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -1. Let w = y + 6. Suppose 11 = w*t - 3*f - 0, 2*t + 5*f = -8. Solve -4*a + 29 = -5*l, -4*a = 3*l + 10 + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 4:55 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 559*i - 1747. What is c(3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4239528 is divided by 2817?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/3000 and -53\/228131100.\nAnswer: 2281311000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*z + 2150*z + 155100 = -2192*z - 894*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-203*h - 535*h - 531*h)*(h - 6*h - 2*h) in the form u + k*h**2 + q*h and give k.\nAnswer: 8883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 11) to base 14\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536415877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + i**2 + (3 - 3 + 2*i)*(-2*i + 1 - 1) + i**2 - 2*i**2 + 3*i**2 - 103*i + 103*i + 10*i**2 in the form l*i**2 + t + a*i and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:39 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 1520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4241334455?\nAnswer: 5, 43, 71, 277847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 - 142. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -1\/66*d**4 - 8*d + 0 + 0*d**2 + 1\/11*d**3. Solve b(j) = 0 for j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q = -139863 + 138809 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 + 4 = 3*g + 2*w, 5*w = 2*g - 95. What is the greatest common divisor of 90 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 7*i**2 + 5*i - 2. Let a be m(-6). Let v = -4 + a. Solve v = -g - 0 + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g + 12. Let z be ((-57)\/(-12))\/((-1)\/g). Suppose -2*u + 3*u = -z. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 4*u**4 - 14 + 14 + 0*u**2 - 3*u to the form z*u**4 + o*u**2 + x + p*u**3 + n*u and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8477792?\nAnswer: 2, 264931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58969941*l**3 - 31216026*l**2.\nAnswer: -353819646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 6 + 2 - 2 - z + 1. Let k = -8 + 15. Let v(c) = -2*c**2 + 2*c + 11. Determine k*d(n) + 3*v(n).\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/10)*-1*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**5 + 17868*u**4 - 6*u**2 - 203377*u - 52 wrt u.\nAnswer: -280*u**3 + 214416*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*b**2*d**3*k**2 - 10*b**2*d**3*k + 11*b*d + 2*b*k - 2*d**3 - 5*d**2*k**2 wrt b?\nAnswer: 192*d**3*k**2 - 20*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 68*h - 6940. Calculate u(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21811680 and 1836.\nAnswer: 21811680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3352 and 31\/4504?\nAnswer: 1887176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqvmhql. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -2 + (-31 + 48 - (4 - -13))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, n: 6, q: 3, v: 1}. What is prob of sequence pn?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6)*(-3)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 1402499661?\nAnswer: -1402499638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 20, -2*k + 2969 = 2*b - 24093. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 356*s**3 + 2*s**2 + 213*s + 7. Let x(p) = 152*p**3 + p**2 + 106*p + 3. Calculate -3*f(d) + 7*x(d).\nAnswer: -4*d**3 + d**2 + 103*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3)*(4 + 40). Let v = -279 + u. Let m = 382 + v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 5491486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33351, -33448, -33711, -34224, -35071, -36336, -38103?\nAnswer: -40456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3110770 + -3111425.3154. Let d = 8.4946 - z. Let h = d - 668. Round h to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q**2 + 4*q - 2. Let b(y) = -y - 65. Let w be b(22). Let c = w + 90. Calculate o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22293, -44546, -66789, -89016, -111221?\n\"Answer: y**3 - y**2 - 22257*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n*t**4*w**3 - 4742869*n*t**4 + n*t**2*w**2 - n*t*w**3 + 10*n*t*w + 2*n*w**3 - 6*t**2*w**3 + 43*t**2 - 27*t*w**2 wrt t?\nAnswer: 96*n*t*w**3 - 113828856*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4 + 248496*h**3 + 745524*h**2 = 0.\nAnswer: -3, 0, 62127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5372678 - 2a?\nAnswer: -53726a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43103201 (base 5) to base 15.\nAnswer: -72801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 - 18277965*k\/2 = 0.\nAnswer: -18277965, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let k(l) be the second derivative of -25*l**3\/6 - 9*l. Determine k(u(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2131 = 6*a - 1019. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/735158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**3\/33 - 22*m**2 + 1677. Factor v(o).\nAnswer: -2*o*(o + 242)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 1. Let k be n(0). Which is bigger: k or 2\/183?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/4 - (-4)\/(-16). Let m be 2\/(-4)*-1*8. Find the second derivative of -3*g**3 + u*g + 3*g**3 - g**m wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4725 by -7.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 0\/(5\/(-5)). Let n be i - (3 - 5)*(-6)\/(-4). Suppose -12*l = -n*l. Solve 5*h + 20 = -l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/7*f + 4\/7*f**2 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 7*l**2 - 4*l - 9. Determine k(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162216 by 12.\nAnswer: -13518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - -5. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3101*c**5 - 5120*c?\nAnswer: -62020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6200*a - 24790. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.022 + -0.151. Round p to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Suppose 0*a + 4*c = 2*a - 4, -4*c = 0. Suppose 3*r - 3*v - 6 = 0, a = r + 3*v - 8*v. What is the nearest to z in r, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 - 2*o**3 + 276.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107532, 4, -4, -3.\nAnswer: -4, -3, 4, 107532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/5 + 114*v**3\/5 - 538*v**2\/5 - 2994*v\/5 + 3416\/5 = 0.\nAnswer: -61, -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3923.4 - 629.9081.\nAnswer: -4553.3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u**2)*(3*u + 5*u + 3*u) + 20*u - 10*u - 8*u - 34*u**3.\nAnswer: -12*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110203101133 (base 4) in base 11?\nAnswer: 304a66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (11 - 12) - (-3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2002?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 2*s**2 + s - 1. What is the remainder when p(3) is divided by 212\/16 + 5\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062200 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 70. Suppose 0 = -4*f + f + 255. Suppose 12*a - 7*a = f. Calculate the greatest common factor of c and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let z = f - 0. Let c = 3.96 - -0.04. Sort -1, z, c in decreasing order.\nAnswer: c, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 979952279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 37. Let y = d - -32.95. Let i = -0.987 - y. What is i 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 greatest common factor of 6430030 and 2870?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s*s*s**(-5))\/s*s*s**(-1\/5)*((s\/s**(-1))\/s)**38*s**(-1\/13)*(s**(1\/3)*s*s)\/s*(s**(-1)\/s)\/s**(-4) assuming s is positive.\nAnswer: s**(7811\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 + 47 = -5*p, n - 13 = 2*p. Suppose -u + 85 = 4*u. Let t = u - 7. Calculate the lowest common multiple of n and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204)*3 + 6*(-1*sqrt(204) - sqrt(204)))\/((-5*-3*sqrt(768) + sqrt(768))*-3))**2.\nAnswer: 17\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.4 (b) -0.1 (c) 2905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5060, -10168, -15276, -20384, -25492?\nAnswer: -30600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4)\/(c**(-1)*c))\/c**36*(c*c**5*c**5)\/c**(-48) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/33)\/((-10)\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 14*k - c - 55330, 0 = 5*c + 25. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -142*u**3 - 9*u**2 - 9*u + 55. Let x(p) = -35*p**3 - 2*p**2 - 2*p + 14. Let h(w) = -2*j(w) + 9*x(w). Find the first derivative of h(f) wrt f.\nAnswer: -93*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*((-5 + 49 + 9)*(-p + 3*p - p) + p + 6 - 36*p - 6*p)*(0*p + 4*p - 3*p).\nAnswer: 12*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 37.53899 * 7\nAnswer: 262.77293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 31 - 111 = -16*c. Suppose -6*z - c*z = -55. Solve h*i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.55486 minutes in nanoseconds?\nAnswer: 3693291600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwlwwwlwlwwwwlwwwww. Give prob of picking 2 w and 1 l.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -48. Solve -2*n = 5*g - n - 22, -4*n = 4*g - s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -2*d**3\/3 - d**2 + 23*d - 2. Determine x(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -19*m**3 + 2. Let s(r) be the third derivative of r**6\/120 - r**3\/6 - 2063*r**2. Determine -f(q) - 2*s(q).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*8\/90. Let z be -2 - (1 - (-48)\/(-15)). Put z, 4, j in decreasing order.\nAnswer: 4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**3 - 4*o**3 + 6 - 1 + 9*o + 8*o**2. Let r be j(-7). Let u be (-3)\/2*6\/r. Do u and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 124.843, -6.1, 3?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 8*c**2 - 8*c - 7. What is o(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2552 divided by -1446.\nAnswer: 1276\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -7*b. Let s = -145 - -221. Suppose -3*f + 607 - s = b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + 3*m**3 - 5*m**2 + 23 - 3*m**3 - 23 - 2*m**3 + 9*m**3 - 3*m**3 + (5*m**2 - 3*m**2 - 3*m**2)*(-m - 2*m + 2*m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/13, -2\/15, -5, -14\/37, -1, 5, -20\/9?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let s(f) = -496791*f - 8. What is j(s(g))?\nAnswer: 993582*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**7\/21 + 89*k**6\/30 + k**4\/6 - 8*k**2 + 2473*k. What is the third derivative of u(n) wrt n?\nAnswer: 120*n**2 + 2136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5857 and 2886.\nAnswer: 16903302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84347 - 11204 + 549 - 5145 + 37464)*(2 - 2*k - 2).\nAnswer: -212022*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 91.6749?\nAnswer: -9.16749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031 = 4*n + 1047 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6751.58 * -6\nAnswer: 40509.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 193*p - 2303. Determine f(14).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451025823, -902051647, -1353077471, -1804103295, -2255129119, -2706154943?\nAnswer: -3157180767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 957, 1, -2, -10, -1\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103079 from 414.9133.\nAnswer: -102664.0867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 1. Let z(c) = c + 5. Suppose 11*n - 55 = -0*n. Calculate n*r(g) + z(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -995.4 * -33\nAnswer: 32848.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1327467\/88 + 225068\/11. Let p = -5383 + g. What is the common denominator of ((-1)\/5)\/((-8)\/110) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621683 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -4, 643558, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -52. Suppose f*m + 3*s - 765 = 0, -5*m - 2*s = -3*s - 1281. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -500.2 + 500. Let z = 2.9 + -4.9. What is the fourth biggest value in 9, z, s, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k + 1017 = 22717. What is the highest common factor of k and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 21)\/(2\/3). Let k = 40 - f. Solve 0 = -4*z + 2*n - 4, z + k = -4*z + 3*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7358, 7398, 7438, 7478, 7518, 7558?\nAnswer: 7598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:23 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 5*q**2 + 2*q**2)*(1 - 4 + 2) + 0*q**2 + q**2 + q**2 + (5*q + 1 - 1)*(-3 + 3 - 2*q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9147, -9371, -9595, -9819, -10043, -10267?\nAnswer: -10491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:38 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -14. Let r be 41\/328 + (-52)\/928. What is the closest to r in -1\/3, m, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -277 - 3?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - (sqrt(972) + (sqrt(972) - (sqrt(972) - 3*sqrt(972)) - sqrt(972))))\/sqrt(9).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Let l(h) = 112*h + 11. Let t(g) = -4*i(g) - l(g). What is the first derivative of t(q) wrt q?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + j = -8, 4*j + 16 = -3*u + 54. Solve 2*b + 8 = -3*n, 0*n - 2*n + b = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -567, -1124, -1679, -2232?\n\"Answer: u**2 - 560*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/214, -0.4, -2, -2\/7, -2\/221 in increasing order.\nAnswer: -2, -0.4, -2\/7, -3\/214, -2\/221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 - 312*o + 7 - 121*o - 61.\nAnswer: -433*o - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -8, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-65)*0)\/1. Which is greater: s or -2\/22631?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 75 = 5*r + 15, -2*g + 42 = -4*r. Suppose 0 = -4*l - g + 43. Let h(c) = 5 - 3*c**2 - 4 + c + 4*c**2 - l*c**3. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -p - 4*p, -2*l - 2*p + 14 = 0. What is the remainder when 37 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(b + 2*b - b) - 11 - 14*b + 11 to y*b + j and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 43*h + 273. Determine d(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 35652*p - 35651*p + d, -d - 4 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -18. Let i = -21 - f. Calculate the remainder when i is divided by -39*((-8)\/(-6))\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7*z**2 + 40*z - 39. Let w be s(-11). Solve -j + 8 = 2*m - 6, 0 = -w*j - 2*m + 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1465 * -0.2\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.037 + 0.063. Which is the biggest value? (a) m (b) 0.4 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.2 + 16.2. Let y(r) = -r - 2. Let z be y(6). Let x = 6 + z. Which is the closest to 0? (a) q (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -244*p**2 - 7*p + 7. Let i(k) = 213*k**2 + 9*k - 6. Give -3*i(w) - 4*s(w).\nAnswer: 337*w**2 + w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14452822 and -3.\nAnswer: -43358466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 1)*(z + 2*z + 0*z)*(-z**2 + 2*z**3 + z**2).\nAnswer: 48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -t + 2*x, -t + x = -5*t - 242. Let l = t - -113. Suppose -316 = -11*g - 217. Calculate the remainder when l is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -55*i - 4183. Determine u(-76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199*n + 1208*n - 2418*n = -33. Let i be (8\/10)\/(2\/5). Solve 4*g = -12, 2*y - 17 = -i*y + n*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1238467 and 44973.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/25*(-2820)\/(-423)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 2, 4959, -5, 9 in increasing order.\nAnswer: -5, -4, 2, 7, 9, 4959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 3*b**3 - b**3)*(9 - 6 - 1 + 1 - 2 + 0 + (0 + 2 + 0)*(-6 + 3 + 4) - 3 + 1 + 1 + 2 - 2 - 1 + (-1 + 3 - 4)*(0 - 2 + 4) + 3 - 1 - 4 + 5 - 1 - 2).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 - 22*y + 31. Determine g(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.594 + -0.406. Let f be 3*(-66)\/36 - 3\/(-6). Put f, -0.3, k, -0.1 in decreasing order.\nAnswer: -0.1, -0.3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 163 - 88 - 3*d - 80. Suppose -30 = -3*h - 3*h. Suppose h*o = -3 - 22. Calculate y(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 4 + 0*l - 2*l**2 + 4*l. Let n be (-4*(-1)\/6)\/(1\/6). Suppose -12 = -n*o - 0. What is h(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:49 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57726567 and 586?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16296 = -1081*x + 31268 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*h - 613*h - 264*h - 545*h. Factor 4\/19*m**2 + h - 16\/19*m + 2\/19*m**3.\nAnswer: 2*m*(m - 2)*(m + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 11 = -5*s - 8, 0 = v - 4*s + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8))\/(1315\/260 + -5). Suppose 26 = -h*z + 26*z. Solve 5 = z*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-1)\/(-2)*3. Suppose -2*v + 34 = 3*g - g, 0 = 5*v + l*g - 87. Calculate the remainder when 53 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*g - g**2 - 258*g + 1294*g - 271*g - 263*g - 215*g.\nAnswer: -g**2 + 130*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 9*y. Suppose -77*j + 76*j + 4 = y. Suppose 0 = -j*q + 5*w + 308, 2 = 4*q + 5*w - 306. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6151381903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909136529?\nAnswer: 7, 19, 2017, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 7*n + 26 = 0. Let g be (-6)\/(-39) - (-50)\/n. Suppose g*f - 160 = -3*c - f, 4*f = 2*c - 114. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/120 + 11*f**5\/60 + 5*f**4\/24 + 2*f**3\/3 - 3*f**2 - 146. Give b(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1813618 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -793*x - 37160000 = -801*x. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*d + 4*l - 0, 3*l = 0. Let v be ((-12)\/d)\/((-18)\/84). Solve 5*x + 3*m = 5*m + 7, v*m = 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176 by 18.\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4*m - 5. Suppose 0 = -3*z + 5*p + 25, 3*z - 5 - 4 = -3*p. Let t be l(z). Solve -2*d + 29 = -5*v - 6*d, -3*v - 4*d - 19 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218\/218*(-6)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.19 - -0.19. Sort -5, -0.2, u in increasing order.\nAnswer: -5, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1139798, -2280242, -3420686, -4561130, -5701574, -6842018?\nAnswer: -7982462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7915 - 0.7915. Which is bigger: 1\/153 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26*n**2 - 6437*n - 723. Determine d(248).\nAnswer: 2005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.1 + -184.1. Let y = -178 - v. Which is the third smallest value? (a) -2 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002244 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p = -83*p + 24. Solve p*k = 5*q - 27, 8*k = 3*k + 4*q - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058386 less than -2.51?\nAnswer: -2058388.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 3*d**2 + d - 2. Let g be x(2). Let m be (-4)\/(-16) - 10\/8. Sort -2, g, m in decreasing order.\nAnswer: g, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 131*u + 32*u + 2 as n + z*u and give z.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5508, 11712, 17916?\nAnswer: 24120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759 - 3*c + 2*c + 65.\nAnswer: -c + 824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -4. Let m = h - 4. Is (-1 + m)*43 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Which is the third biggest value? (a) 4 (b) 6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.67700096 - 0.677. Round k to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-275) - ((-36)\/(-99))\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228020 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8*24\/3. Let i be -3*6\/(-27)*x. Suppose 2*y = -5*o - y + 58, -i*o + 52 = y. Solve -s + 3*n = -0*n - o, -4*n - 20 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3131 times -0.3?\nAnswer: 0.09393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-78))\/(22\/(-264)))\/((-4)\/52)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 12, 0 = 4*p + 3*v + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2059 + 2074 = 5*m. Solve -u - 2 = 0, 0*o = -m*o - 2*u - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raaa. Give prob of sequence raa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -eb?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) 3 (d) -3 (e) -3.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 970, 2019, 3566, 5683, 8442?\nAnswer: 11915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (262\/1703)\/(304\/(-104) - -2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 2. Let v(f) be the first derivative of f**3\/3 + 5*f**2\/2 - 3*f + 19. Give v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 232 = -154. Calculate the smallest common multiple of 12 and k.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-10))\/(((-6258)\/41720)\/(2 - 17\/(-8))).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -137. Let j = z + 117. Is (-2 - (-2890)\/j) + (-1)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 2012 in decreasing order.\nAnswer: 2012, 28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/3078842 and -105\/52.\nAnswer: 6157684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6394, -19, 4, -2\/3 in ascending order.\nAnswer: -19, -2\/3, 0.6394, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18255860?\nAnswer: 2, 5, 7, 130399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1684.00276025 and 0.1.\nAnswer: -1683.90276025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65 - 72 - (-13 - 0). What is the highest common divisor of 626 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - ((2*sqrt(272) + sqrt(272) - sqrt(272)) + sqrt(272)))\/sqrt(8))\/sqrt(2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let f(u) = -7*u**2 + 5*u - 111. Let n(y) = 4*y**2 - 3*y + 55. Suppose 16 = 5*h + 31. Let x(g) = h*f(g) - 5*n(g). Give v(x(z)).\nAnswer: -z**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42397\/915 - -2\/915. Let q = -47 - g. Suppose r + 4 = 2. Do q and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774948607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*s. Suppose -2*q - s = -7. Let j = 6 + -4. Which is the closest to -0.1? (a) j (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12633 and 332669.\nAnswer: 998007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + d**5 + d**5 + (-2*d**4 + d - d)*(0*d + 4*d - 3*d).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyyyjwyytjyj. What is prob of sequence jw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(832) - (sqrt(832) + 2)) + 5 + (sqrt(832) - (sqrt(832) + 1)) + sqrt(832) + 5)*-3)**2.\nAnswer: 1584*sqrt(13) + 8577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -16. Suppose 0*i + 18 = 5*x - i, 3*i - l = 0. Let n be x\/14 - (-4)\/(-14). Is -1\/4 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 5 (b) 34.258 (c) 13 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 1459 = -4144. Let x = a + -340. Calculate the greatest common divisor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165261.8 + 1083.5.\nAnswer: 166345.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a**2 - 108*a**3 - 61 - 243 + 109*a**3 wrt a.\nAnswer: 3*a**2 + 68*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 639*b*p*t**3 + b*p*t - 7*p*t**2 + 819*t**3 wrt b?\nAnswer: 639*p*t**3 + p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*r - 130*r + 408*r + 599 - 24824 = 0 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.1 - 18. Let f = m + -0.1. Which is the third smallest value? (a) f (b) -0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(175) + sqrt(175) + 2) - (-4 + sqrt(175)*-2)*6)**2.\nAnswer: -720*sqrt(7) + 6444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 72*n. Let b be f(9). Suppose 13*h - 11899 - 9421 = b. What are the prime factors of h?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.64241 and -3.\nAnswer: -10.64241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 7*h - 26*h - 44 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582199 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74 + 6*n - 174 + 34 - 3*n**3 - 19*n**3 wrt n?\nAnswer: -66*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -1\/2*b**2 - 1 - 1\/3*b**3 + 4*b. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-2)\/(-2)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 545, 807, 1059, 1295, 1509, 1695?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 2 (c) -4 (d) 1\/2 (e) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-8)*(-7 + 3). Let u = 1 - k. Solve -f = f - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 14. Let h(t) = 3*t + 14. Let d(v) = 3*h(v) - 4*i(v). Let f be d(16). Suppose f*r = 3*r - 30. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = 3*y - 15, 0 = -3*y - 5*m + 21. Suppose -17 = c + 4*t, c + 3*t - 2 = -14. What are the prime factors of (-120)\/(-9)*c\/y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 745836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**3 - 2*v**2 - 27*v - 2. Let o(c) = 15*c**3 - 5*c**2 - 54*c - 5. Let r(p) = -5*d(p) + 2*o(p). Find the second derivative of r(q) wrt q.\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 - 5*j**3\/6 - j**2\/2 - j. Let a be h(-4). Suppose 3 = i - 2. Calculate the greatest common divisor of a and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 117, 308, 559, 858, 1193, 1552?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1 - -1) + 4. Let r be (10\/6)\/(1\/x). Solve y - 2*u = 11, y + 5*u + 19 = -r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6154 is divided by 471?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065770625 rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 2*n + 2. Let a = -2 + 2. Suppose a = -4*d - 53 + 9. Let z(x) = -11*x - 2*x**2 - 19*x**2 + 6 - 44 + 27. What is d*s(m) - 2*z(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 47 + 45 = 4*n, 156 = 4*q + 5*n + 63 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 12*c**2 - 4*c - 13. Calculate the remainder when a(11) is divided by (-152)\/(-7) - 14\/(-49).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14408 - -3?\nAnswer: -14405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 121892.56673 from 0.\nAnswer: -121892.56673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7027c0 (base 14) to base 3\nAnswer: -21002121221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, b + 0*b = -3*i + 12. Suppose -i*f - 12 = -3*g, -2*f + 4 = 2*g - g. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qooqwooq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslsmslsslmsls. Give prob of sequence ms.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 24*j + 19*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*q = -9*y + 18, 0 = 2*y + 5*q - 18. Is y\/(2 - 0) - -311 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 435197 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + 17 + (-28 - 19).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29632, 59266, 88900, 118534?\nAnswer: 148168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 234*u**3 - 6*u + 5. Let q(w) = -819*w**3 + 21*w - 18. Calculate 5*q(f) + 18*t(f).\nAnswer: 117*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750172 by -1.\nAnswer: -750172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/35))**(11\/5)*c**(2\/9)*c*c\/(c\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(4562\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*d + 17, -74*z - d = -75*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 12, 5*p - 2*j + 0 = 4. Let t(l) = 3*l**3 + 2*l - 3*l**2 - 2*l + 1. Is t(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1225*g**2 - 98*g - 2584*g**2 - 96*g + 194*g - 357*g**2.\nAnswer: -4166*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.02 (c) -1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282392 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 6. Let n be l(4). Let s be 101 - (1 - (-2 - -3)). Suppose 0 = -5*d - 2*i + s, 3*d = n*i + 11 + 40. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - (sqrt(2178) + (sqrt(2178) - sqrt(2178)*-1) - sqrt(2178)))\/((sqrt(36) - sqrt(144))\/sqrt(6)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44356.\nAnswer: 2, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/48*(-2)\/(6\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1524, -1495, -1440, -1359, -1252, -1119, -960?\n\"Answer: 13*r**2 - 10*r - 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(192) + 6*sqrt(192)*-1 - (-2*sqrt(192) + sqrt(192))*-4))**2.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394525546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 j, and 1 n when four letters picked without replacement from nnnnjjnanjnjnjnjna?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 20 + 136 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -23 + 9*p + 13 + 13 - 4*p + 3*p**2. Suppose 2*a + 20 = 7*a. Is d(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -11. Let t be (-2)\/z + (-158)\/(-5). Calculate the remainder when 8 is divided by (-1)\/3 - t\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -15, 7178 in decreasing order.\nAnswer: 7178, 0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(112\/(-96)*(-2)\/14). Let w(v) = v**2. Let a(o) = -5*o**2. What is z*w(p) + a(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42324487 = 42324487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100*z = -1307*z + 828. Solve -3*w + 9 = -z*x, 120*x - 3 = 117*x - w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1114655979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6) + 0 + -5 + -31 + -9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076776012.\nAnswer: 2, 13, 20707231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**2 - 3091*q - 4278. Give n(-308).\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:58 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*w - 12. Suppose -8*t - w = -13*t. Calculate the lowest common multiple of 1 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*d + 3*d. Let h be d\/((-28)\/(-20)) + 2307. Is 11\/22*(0 + h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*i**3 + 80*i**3 - 322*i**2 - 276*i**3 - 459*i**2 + 2 wrt i.\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -112?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1170261 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50295 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291213*g**2*q**2 + 6*g**2*q - 5*g**2 + 2*g*q**4 + 6*g*q - 13*g + 3*q wrt q.\nAnswer: 582426*g**2 + 24*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 392609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5082*a + 2\/7*a**3 + 130438 + 66*a**2.\nAnswer: 2*(a + 77)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 677.7 + -677.53612. Round z to 3 decimal places.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 13*d + 72. Sort d, 10, 5 in ascending order.\nAnswer: 5, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t + 9. Let a(i) = 6*i + 4 + 2*i + 5*i - 6*i. Calculate 9*a(f) - 4*r(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q - 2. Let y be t(-5). Suppose -y*u = -u - 20. Suppose 4*o + 2*i = 22, -4*i - 6 = -4*o - 2. What is the remainder when u is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 194*u - 140 - 54. Let q be 2\/(-2345)*5\/(-3). Which is bigger: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24472889 - -4372889. Round x to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:44 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**2 - 16*c + 4. Let b be n(-7). What is the highest common divisor of 84 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 3. Let j = -50 - -45. Let k(w) = -5*w - 3. Let m(d) = j*k(d) - 4*t(d). Let x(l) = -3*l - 8. Calculate -8*m(y) - 3*x(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 3*f**2 + 8*f + 19. What is y(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1514 (b) -34 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-195)*(-39)\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6821789 meters in kilometers?\nAnswer: 0.0006821789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 5) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/2, -3\/4, 2\/13?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5169 - -5544.3. Let q = -375 + n. Put 2, q, 1\/2, -6 in decreasing order.\nAnswer: 2, 1\/2, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g**2 + 6*g - 7. Let l(f) = -f**2 - f + 1. Let r(y) = -6*l(y) - w(y). Suppose -m - 3*m = -8. Let t = m - 3. Determine r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + x = 32 - 9, -2*i + 5*x = -53. Calculate the smallest common multiple of 18 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3551*c + 150*c + 210862 = 0 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -131, -200, -273?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 1\/5 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-21)*(-8 + -6 + 16). Which is the third biggest value? (a) 1 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 336, 109 in decreasing order.\nAnswer: 336, 109, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 3*b**2 + 7*b - 4. Let u be l(5). Let q = -27168 + 27221. Suppose u + q = h. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + h)*(-1 + 1 - 13)*(-2*h + 3*h + h).\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m. Let s(x) = x**2 - x. Suppose 0 = 6*h + 306 - 294. Suppose 2*c - 3 = -1. Determine c*q(k) + h*s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(252))*3.\nAnswer: 9 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 960, -1\/19, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -176, -1473, -5066, -12125, -23820, -41321, -65798, -98421?\n\"Answer: -195*p**3 + 22*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1142528567\/19096 + 1854984\/31. Let v = p + -3\/77. Find the common denominator of -23\/18 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1194 or -1187?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let c = 4.883203 - 4.9832. Let h = o + c. What is h rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y**2. Let u(b) = 74*b - 4. Let a(x) = 7*x. Let j(z) = -20*a(z) + 2*u(z). Determine j(f(p)).\nAnswer: -192*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -20. Solve 0 = q*y + 5 - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 11 - (-13 + -1) - 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 - 1020\/150?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 24*v**3 + 2*v**2 - 2*v - 2. Let i(y) = -49*y**3 - 5*y**2 + 5*y + 5. What is -2*i(f) - 5*p(f)?\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(1331) + -4)**2.\nAnswer: 88*sqrt(11) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1305 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.399t in nanograms?\nAnswer: 310399000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 3, k: 3, t: 1, f: 2, o: 1}. What is prob of picking 2 f and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.549 - 0.049. Let v = -6.11 - 59.29. Let j = 65 + v. What is the closest to 0 in y, -3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*f**4*p + 4*f**2*p**2 - 6*p**2 - 131 wrt f.\nAnswer: 320*f**3*p + 8*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 5*z**2 - 2*z + 7. Let g(s) = 6*s - 8. Let h be g(2). Let b be ((-66)\/(-5) - -1) + h\/(-20). Let o = -9 + b. What is x(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5\/7 - 69*p**4\/7 - 384*p**3\/7 - 804*p**2\/7 - 576*p\/7 = 0.\nAnswer: -16, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-3))\/(-14 + 15). Let o(j) = -2*j**2 - 8*j - 7. Let n be o(-2). Which is the nearest to n? (a) -0.2 (b) 9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-14)*(-14868)\/23895\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyuyuuuuuy. Give prob of sequence uyy.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 5*o**2 + 2*o - 6 + 2 - 4*o**2 as q*o**2 + n*o**3 + s + j*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-1))\/((-3)\/2). Suppose -w = -3*o + z*o - 11, 3*w - 11 = -4*o. Solve 0 = -r + 3*u - 17, -3*u = 4*r + w - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 57*d**3 + 2*d**2 - d + 3. Let x(c) = -85*c**3 - 3*c**2 + 2*c - 4. Let r(u) = 7*n(u) + 5*x(u). Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44338*a**4 + 81*a**3 + 12495*a**2 - 1603?\nAnswer: 1064112*a + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2635, -13, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 162 = -4*x. Is x != 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -933*j. Let l(z) = 4*z + 15. Give l(d(c)).\nAnswer: -3732*c + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 41079.65?\nAnswer: -82159.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/141 + 2657\/3102. Calculate the common denominator of (-45)\/6*20111\/(-3315) and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, y: 2, q: 4, i: 1, x: 5}. What is prob of sequence izxx?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790 - 13*k - 721 - 807 + 2318 + 15*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -27*o - 5. What is the remainder when 64 is divided by i(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -43022?\nAnswer: 43022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 207*z - 10. Let k(w) = -103*w + 6. Determine -5*k(g) - 3*n(g).\nAnswer: -106*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -20799*c - 3577464. What is z(-172)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*m - 2 - 4, 0 = -3*r - 4*m + 12. Suppose 10*v - 26*v + 21616 = r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 103 (b) -4 (c) 2\/9 (d) 5 (e) -7040\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 27131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (-2*sqrt(99)*5 - sqrt(99))) + -4*(sqrt(99)*-2 - sqrt(99)))\/(sqrt(144)*1 + (sqrt(81) - sqrt(9))*2).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 55) + 16 + 6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 4*h + 3 - 2*h + h - 12 + 7 - 3821*h**2.\nAnswer: -4*h**3 - 3821*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l - 20. Let z(d) = -3*d + 4. Let s(b) = 2*h(b) + 9*z(b). What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -426030 to the nearest one thousand.\nAnswer: -426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 25*m**2 + 98*m - 6. Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000106192 to 7 decimal places.\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6425863 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56, -116, -176?\n\"Answer: -60*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.22 + 2.02. Let m = -0.01 + -3.99. What is the smallest value in m, -4\/9, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(112) + 3 + (sqrt(272) + 2 + sqrt(272))*-1.\nAnswer: -31*sqrt(17)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55*7*(-15)\/175. Is -5 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19845052.\nAnswer: 2, 17, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3 (c) -19800\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtsssbssbtssbssse. What is prob of sequence bs?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29465\/1034 + 2\/517. Find the common denominator of o and -11\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76938 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*r - 10. Suppose -r*l + 0*l - 15 = 0. Which is the second biggest value? (a) 2 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a41a3 (base 11) to base 2.\nAnswer: 100010001000001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*p - 13 = 2*d, -d - 2*p = 4. Let t(k) = -3 + 6 + 6*k**d + 14. Let n(i) = 34*i**2 + 3 - 19*i**2 - 14*i**2. Determine 34*n(x) - 6*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 9*j**2 - 18*j + 67. Calculate s(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let o(p) = -17*p + 12. Let w(f) = -6*n(f) + o(f). Let b(r) be the third derivative of -r**5\/12 + 13*r**2. What is b(w(i))?\nAnswer: -2645*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 11*w + 12. Let f be v(-10). Suppose 3*b - 5 = f*b. Suppose -3*s - 3 = -5*l, 5*s = -l - 0*l - b. Which is smaller: l or 8\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 7*z - 13. What is the remainder when 14 is divided by k(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvndnvavaann. Give prob of picking 2 v and 1 a.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200433 and 6603?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 4. Suppose k*r = -x + 3*r + 62, -4*x + 248 = 2*r. Let w = x + -28. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17959329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44442024 (base 5) to base 15\nAnswer: -7a979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j + j**2 + 23*j**2 - 5 - 3*j. Let g be m(5). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + 50.4989025.\nAnswer: 49.5989025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*117933.\nAnswer: -47173.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f + 6*f - 6*f)*(-1 + 0 + 3) to i*f + k and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -291, -861, -1919, -3615?\nAnswer: -6099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -5, 0, 17, 52, 111, 200?\n\"Answer: g**3 - 3*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, h: 2}. What is prob of sequence hsss?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -26. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12 + 34\/6. Let p(m) = m**2 - 2*m - 2. List the prime factors of p(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 36 - (-176 + 144) - -17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37506.87 rounded to the nearest 100?\nAnswer: 37500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -525, 4, 8, -1, 82 in increasing order.\nAnswer: -525, -9, -1, 4, 8, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 36. Suppose 4*d + 4*n - 38 = 2*d, y = 2*d - 2*n. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and 57902?\nAnswer: 57902.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 5*n**2 + 5*n - 3. Let x be l(4). Suppose 0 = -3*o - x - 14. Let h = 14 + o. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/3780 - 7*r**6\/1080 + r**5\/15 - 7*r**4\/24 + r**3\/2 - 2*r**2 + 9. Let y(i) be the second derivative of s(i). Factor y(z).\nAnswer: 2*(z - 4)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**3 - 2*k**2 + 47*k - 1. Let y(j) = -3*j**3 - 23*j. Let q(v) = 3*o(v) + 5*y(v). Find the second derivative of q(r) wrt r.\nAnswer: 36*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = -5*v + 12, -3*b - 2*v = -34. Solve -4*f = -5*n + 35, 0 = 3*f - 2*n + b + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6661, -12733, -18793, -24835, -30853, -36841?\n\"Answer: u**3 - 6079*u - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**4\/6 - 1031*w**2. Let n(p) = -137*p. Calculate s(n(l)).\nAnswer: 548*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1434.14785 to 0 dps.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 10 - (18 + -22)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -22*v**2 - 6*v + 11. Let r be q(-7). Let w be (-6)\/(38520\/r)*-19. Let s = 16\/321 - w. Find the common denominator of -149\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*13832\/(-21). Calculate the greatest common factor of 52 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/15*(-5)\/2. Solve 2 = -4*i + 2*s - m, 4*s = 5*i + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 20*j**2 + 16\/3*j**4 - 52\/3*j**3 + 4\/3 - 28\/3*j = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -37*v - 10. Let t(b) = 2*b**3 + 1. Let h be t(1). Solve 5 + v = h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {t: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 41*o**2 - 189*o - 2949. What is the hundreds digit of l(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 38. Let f be (3\/9)\/((-2)\/(-42)). What is w(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -388 - -406. Calculate the greatest common divisor of 558 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426840179 is divided by 244.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 6 - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 96. Suppose 5*w - 35 = -5*v, 5*w - h = -6*v + 2*v. What is the third derivative of 24*t**6 - 7*t**2 - t - w*t + 5*t wrt t?\nAnswer: 2880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6 + 0)*(-67 + (-14943)\/(-102))*2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, 4, -0.15 in decreasing order.\nAnswer: 4, 0.5, 0.2, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -108. Is (i + -1)\/(-4)*102 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21d7c + -3?\nAnswer: 21d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Let d = 2 - y. Suppose -l - 2*r + 4 = -3*r, l = -2*r - 5. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 219 = -43. Suppose -l - 3*t + 3 = -4*l, -4*t = -16. Suppose -u = -l*n - 7. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -3\/2*f**3 - 7\/2*f**2 + 7 + 8*f. Let b(n) be the first derivative of q(n). Differentiate b(w) wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236941602809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 820927.7 millilitres in litres?\nAnswer: 820.9277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 - n**3 + n**2\/2 + n - 20. Let a = 33 - 29. Suppose 9 = -p + a*p. Give k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 15) to base 3\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3850978*x**4 - 2508*x**2 + 3*x - 156.\nAnswer: 92423472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45 - 156 - 96*t - 53*t - 116 wrt t?\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.61 + -0.51. Let x = -21 + 18. Let v = x + f. What is the nearest to v in 0.2, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8299599 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 + 63*r**2 - 32*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2 - 755*p - 7200 = 0.\nAnswer: -9, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 5*j**2 + 5*j + 6. Suppose 5*w + 4 = -3*u, -113*w + 116*w + u = 0. Let v(n) = -n**3 + n**2 + n + 1. Determine w*a(q) - 5*v(q).\nAnswer: 3*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -100. Solve -22 = -4*a - 5*b, 5*a - k*b = 11 - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34404 to the nearest 100.\nAnswer: -34400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-9))**(-3) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2 and (-1)\/2*(-14 + (-531)\/(-54)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2\/5 + 1127634*g\/5 - 9696543 = 0.\nAnswer: 43, 375835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*t + 178. Suppose -79*x + 15 = -t*x. Calculate the remainder when 14 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42117*z**2 + 11839*z**2 + 37798*z**2.\nAnswer: 91754*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let o(x) = -1 + s - 2 + x. Let d(i) = 4*i - 6. Let z(m) = 9*m - 13. Let a(v) = 13*d(v) - 6*z(v). Give a(o(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -20, 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 2987412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0 - y + 2 - 5. Let s(c) = -c. Let i be s(-4). Let b(m) = 3 - 5 + m + i. What is -4*b(q) - 3*z(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1)**(-1\/28)*o**(4\/11)*o*o*(o**(4\/7)*o)\/o*o assuming o is positive.\nAnswer: o**(85\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10118340?\nAnswer: 2, 3, 5, 67, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2304324000 + -4?\nAnswer: -2304324004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 103461004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 223*q**6\/24 + 793*q**5\/60 - q**3\/3 + 16*q**2 + 173. Find the third derivative of p(f) wrt f.\nAnswer: 6690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30055 (base 11) in base 14?\nAnswer: -12059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 0.26. Let b = 4 + -3. Sort b, 3\/2, q.\nAnswer: q, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*m + 9*m - 5*m)*(-3*m + 18*m**2 + 3*m)*(m - 6 + 2 + 2) in the form l*m**4 + t + a*m + w*m**3 + c*m**2 and give w.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 3) to base 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(320).\nAnswer: -16*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172488?\nAnswer: 2, 3, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6475145*k**4 - 1497718860*k**3 + 453042150*k**2 - 45706540*k + 1537305.\nAnswer: 5*(k - 231)*(109*k - 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/23 + 8*n**2\/23 - 6*n\/23 = 0. Calculate n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/15523 and 9\/655234?\nAnswer: 12449446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + j + 934, 16*j - 12*j = -16. Suppose 0 = o*p - 312*p + 450. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 8*g - 2*d + 94 - 82 = 0, 5*d - 24 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y\/y**(-26))**42 assuming y is positive.\nAnswer: y**1428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.2, -28, -2, -4, -4613?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -20, p + 17 = -3*d - 2*d. Suppose -1976 = 4*r - 2*v, 0*v - 1473 = p*r + 3*v. Find the common denominator of 9\/8 and r\/40 + 1\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -6 (c) 21 (d) -5 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = -u. Suppose -5*q = -5*c - 50, -u*c = -2*q + c + 35. What is the greatest common factor of 45 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 856 and 18568?\nAnswer: 1986776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -565e (base 15) in base 7?\nAnswer: -104252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 128*i - 125*i - 27, -5*i = 3*g - 45 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bww when three letters picked without replacement from {h: 4, j: 2, f: 4, q: 3, b: 1, w: 6}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -855 (base 10) to base 5\nAnswer: -11410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose k*r - 4*c = -9*c + 58, 0 = -5*c - 20. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25420 or 25421?\nAnswer: 25420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265923 by 67.\nAnswer: -3969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y. Let x = 63 + -59. Suppose 3*g = -4*m + 2, 3*g = 2*m - 0*g - 10. Let d(c) = x + c**m - 6 + 2. Determine d(w(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 1\/3*p**3 + 0*p**2 - 28*p + 1\/54*p**4. Let l(f) = 0. What is f?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-1\/9)\/a))*a**(-9))\/((a*a\/(a*a*a**(-2\/5)*a))\/a**(-2\/11)))**17 assuming a is positive.\nAnswer: a**(-81566\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 + 3*r + 2. Let x be l(-1). Solve -d = -x*d - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3120, -6238, -9356, -12474, -15592, -18710?\n\"Answer: -3118*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 199 + 121 = 0. Does 22 divide 120\/b*(-528)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23 - 7)\/((-16)\/14). Let d = 311\/12 - u. Which is the third smallest value? (a) 0.4 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkgt. Give prob of picking 1 k and 1 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:28 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 12. Let b be d(9). Suppose b*r - r = 20. What is the greatest common divisor of 80 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232100202 (base 4) to base 13\nAnswer: -6831c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f = 2*l + 2, 8 = 5*f - 2*l. What is the third derivative of z**3 + 3*z**f - 105*z**6 - 17*z**4 + 68*z**4 - 51*z**4 wrt z?\nAnswer: -12600*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(11))**2*2.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 76*l + 43. Determine h(21).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -5, 0.4, 31\/3, 3\/11, 3\/4, 2\/23?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13503, -13507, -13521, -13551, -13603?\n\"Answer: -z**3 + z**2 - 13503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnn. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 2*d + 4*d + 0*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110a (base 15) to base 16.\nAnswer: e1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*h - 863, 4*v - 7*h - 3445 = -12*h. List the prime factors of v.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 123*p + 1528. What is j(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4*(-4)\/6. Suppose 6*h - 11 = 19. Solve w = 2*r - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/5 - 168*q\/5 + 486\/5 = 0. What is q?\nAnswer: 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.061 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/(sqrt(66)\/sqrt(11)))\/(sqrt(72)\/sqrt(1452)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6934 + -3796. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*f - 2 - 92*f - 107*f.\nAnswer: 203*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12108496999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 140876 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/3)\/(1\/25). Let l = -129 + 13. Let r be (l\/(-2))\/2 - -1. What is the highest common divisor of r and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*h = -237*h - 135716. Is h a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 + 5.98. Let x = -2 - s. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, c: 8, n: 2}. Give prob of picking 1 n and 3 c.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l - 57*l = -20. Solve 0 = l*y - 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630424475 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/15*-3 + 138\/90.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 18 = 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97435*j - 97435*j + 17*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -228*p - 15809*p + 3218*p - 743502 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6*(-1 - -7). Suppose 2*z - 1 = 5. Solve a + 2 = z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/12 - d**3 - 2*d**2. Let j be a(-6). What is the tens digit of (3 - 6)*(-20)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2379006 or 2379008?\nAnswer: 2379006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4 - 118 + 158*n**6 - 1187*n**3 - n**2 + 1187*n**3 wrt n?\nAnswer: 18960*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xna when three letters picked without replacement from ancxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*o = o + 12, 2*h + 21 = 5*o. Let t = -16 + h. Let b = -4 - t. Calculate the greatest common divisor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/266 and (9\/(-912))\/(1067\/550 - 2).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 41\/5473?\nAnswer: 41\/5473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2653246 or -2653231?\nAnswer: -2653246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 826 and 4307?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 7 - 8)*((-3 + 5 + 0)*(0*r**2 - 3*r**2 - 6*r**2) + 0*r**2 + 0*r**2 + 2*r**2).\nAnswer: -752*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/g)**(24\/5)*((g\/((g*g\/(g**(1\/5)\/g))\/g))\/g)\/g**(-1) assuming g is positive.\nAnswer: g**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -307250000 to the nearest one million.\nAnswer: -307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) - (sqrt(704) + -1)**2) + 0 + ((sqrt(220)\/sqrt(4))\/sqrt(5))**2.\nAnswer: -694 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.326297 rounded to four decimal places?\nAnswer: -0.3263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 2*f - 27 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68397 divided by -6?\nAnswer: 22799\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 - -320.709. Let d = u + -216. Round d to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 8614144*u + 9275434606592.\nAnswer: 2*(u + 2153536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -178\/213 + 12\/71. Let v be 20\/150*1\/((-17)\/5). What is the second biggest value in -5, v, q, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 2*n**3 + 9 + 14*n + n**2 - 7*n**2 - 4*n. Let d(h) = 4*h**3 + 11*h**2 - 7*h - 17. Determine 6*d(r) + 11*k(r).\nAnswer: 2*r**3 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 1. Calculate d(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {s: 1, k: 3, c: 7, j: 7, l: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f*(f**3*f)\/f*f)**(-44))**(-4) assuming f is positive.\nAnswer: f**(1936\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 5\/50551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12a - -9150?\nAnswer: 9023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/45*75 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -371, -2219, -5301, -9617, -15167, -21951?\n\"Answer: -617*s**2 + 3*s + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 - 100*h + 18. Let v be r(-12). Solve 0 = 52*z - 63*z + v for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 9) to base 16.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 23 + 9. Suppose -3*y - 4045 = 5*a, 5*y - 6*a + 6748 = -v*a. Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380284278.\nAnswer: 2, 3, 11, 19, 303257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184629, 369260, 553891, 738522?\nAnswer: 923153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188837 + 188837 - 49*z**3 + z**2.\nAnswer: -49*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = 3*i + 4, 4*a + i - 7 = 0. Let w be a\/4 + 1\/(-4). Is -2\/21 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let n(d) = 3*d + 7. Let x(i) be the first derivative of i**2\/2 + 2*i + 3. Let g = 3 + -1. Let b(u) = g*n(u) - 7*x(u). What is r(b(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(-735)\/14. Suppose 0 = s*q - 31*q. Suppose -2*c - 4*x + 130 = q, 2*c + x - 3*x - 100 = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209795 is divided by 236?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018314300317 to 7 decimal places.\nAnswer: 0.0183143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (12*-1)\/3. Let u(p) be the second derivative of 3*p + 0*p**5 + 0*p**3 + 0 + 1\/10*p**6 + 0*p**4 - 3\/2*p**l. Differentiate u(n) with respect to n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1186*b**2 + 522*b?\nAnswer: -2372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (0 + 2 + -3 + -1*sqrt(448) + sqrt(448) + 1 + sqrt(448) + -2 + -2)**2.\nAnswer: -64*sqrt(7) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 + 16 + -29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*10\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/40474 and 39\/141659?\nAnswer: 283318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 11c?\nAnswer: -11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + (3*sqrt(256) - sqrt(16)))\/(sqrt(8) + sqrt(128)\/sqrt(4) + sqrt(8)))**2 + 6*(-3*sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(10)\/sqrt(5) + 4.\nAnswer: -29*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632 and 115972.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1540, -3070, -4600, -6130?\nAnswer: -7660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35639, -142550, -320735, -570194, -890927, -1282934, -1746215?\nAnswer: -2280770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/75417095 and 34\/1183.\nAnswer: 527919665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*y - 18 = 0, 329*p - 328*p + 6 = -4*y for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75862 and 278963.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 4424.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83420 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6580 and 7560?\nAnswer: 355320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327600?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*s + 11, -20 = -2*f - 2*f + 2*s. Suppose 8*y + 40 = -f*r + 4*y, 5*y + 60 = -5*r. Sort -1, -2, r.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9024 + 9023. Does 2\/10583 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcj when three letters picked without replacement from {t: 1, o: 1, c: 2, w: 2, j: 1, v: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -26. Suppose -q = 5*v - 0. Let i be v\/10 - (-1 - 0). Which is bigger: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 + 528322*k\/3 + 528316.\nAnswer: 2*(k + 3)*(k + 264158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/(90475\/141)*1\/11?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56066370 - 6?\nAnswer: 56066364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-6894)\/(-1724) - 4). Let j = x + -299. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 213*b - 218*b - 21 = 0, 39*b + 201 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 384, 274, 184, 120, 88, 94, 144?\n\"Answer: f**3 + 4*f**2 - 129*f + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*2\/(-6) - 14*(-220)\/(-616).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23.7, -0.4, 2\/7 in descending order.\nAnswer: 23.7, 2\/7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*j*r**2 - 9*h**2*r**3 - h*j - 29*h*r**3 + j*r wrt h?\nAnswer: 2*j*r**2 - 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + j + 3*j + 26 = 0, 4*f + 4*j + 40 = 0. Let r = f - -11. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 9*f - 5. Give a(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((138\/(-12))\/23)\/(2\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 2*a, o - 14*a + 12 = -15*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 12 + 0*w**2 + 1\/20*w**5 + 0*w - 4\/3*w**3 + 7\/720*w**6 - 1\/12*w**4. Let p(i) be the third derivative of o(i). Factor p(j).\nAnswer: (j + 2)*(7*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/(y*y\/(y*y**(4\/7))))*y)*y**(-36)*y**(-41)*(y*y**(-49))\/y assuming y is positive.\nAnswer: y**(-885\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**15*((((r**2\/r)\/r)\/r)\/r*r)**(1\/37))**(-2) assuming r is positive.\nAnswer: r**(2222\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 9*v**2 - 11*v - 11. Calculate m(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 6) to base 12\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:31 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 177 in 2, 4, 191.55, -0.2?\nAnswer: 191.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*i - 86*i - 101*i + 3 to l + n*i and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:28 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1515 - -1545. Calculate the remainder when 99 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/32 + 7*v**3\/16 + 33*v**2\/4 + 131*v. What is f in m(f) = 0?\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0521 rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/49 (b) 0.09 (c) 21\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1004 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = -2*s - 85. What is the fourth smallest value in 0.3, s, 15\/7, 0.1?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50858 + -50856. Suppose 4 + 1 = -n. Let p = 10 + n. Solve i*g + p = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s. Let i(d) = 53*d**2. Determine z(i(a)).\nAnswer: 371*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:27 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 495*z**3 - 4*z - 2*z**2 + 2*z + 0*z.\nAnswer: -495*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 184498972 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = -4*i, -4*i + 6 = 4*v + 30. Let d = -5 - i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzgzzzzzzzgzggzzzzz.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/432 and 50\/87.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1310 - -1?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 10*j - 3. Let c be u(11). Which is smaller: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(108) + 3 + sqrt(108) + 3.\nAnswer: -6*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31545 and 6.\nAnswer: 189270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - aaa4?\nAnswer: -aa94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 5155?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79363*r**4 - 6*r**3 - 14396 wrt r.\nAnswer: 317452*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(3\/7)*k)**27 assuming k is positive.\nAnswer: k**(648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 5*y - 9*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35271?\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*i + 1190 = -1618*i for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4 = 5*u - 4, 2*u = -3*f + 5*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 674 = 60*i + 79 - 645 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 7*l + 11. Let a be p(8). Let v be 1*(250 - 1) - a. Suppose 6*f = -0*f + v. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713980 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let t(y) = -20*y. Let l(s) = -299*s. Let d(i) = -6*l(i) + 91*t(i). What is d(z(p))?\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4764)\/264 - (-90)\/5\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**3 - 9*w**2 - 27*w + 25. Is v(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 28*i**3 + i**2 - 26*i + 39. Let y be u(2). What is the highest common factor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 26. Solve -2*v = 4*d + 12, w*v + 2*d + 13 = 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10892*j**3 + 3891*j wrt j.\nAnswer: 65352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 30*y**3 + 25*y**2.\nAnswer: 5*y**2*(y + 1)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -4, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 39 - 64 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 36*r**4 + 88*r**3 = 0 for r.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17592 + -17588. What is the closest to -2\/9 in 1\/3, -12\/11, c, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 587218*l - 388609 wrt l?\nAnswer: 587218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 84. Let s = f - 24. Let g(r) = 5*r - 10. Let w(y) = 2*y - 3. What is s*w(k) + 3*g(k)?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*r - t + 11, -4*t - 40 = -2*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 21. Suppose -4*k + 8 = -z. What is the lowest common multiple of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056527007 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = v. Let j be (6\/(-15))\/(v\/150). Let p = j + -17. Which is the biggest value? (a) -1\/5 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/4 (b) 0.1 (c) -186\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 + 5892*d\/11 - 1072.\nAnswer: 2*(d - 2)*(d + 2948)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2042 divided by -2\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.23068 grams in tonnes?\nAnswer: 0.00001223068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71 - (-1 + 1)\/2. Suppose 0 = -4*o - 2*g + w + 43, 0 = 2*o + 4*g - 42. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 546.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*k = -2487 - 2483 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -803939?\nAnswer: 803947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448)*2 + -5))*1 + (((-1 + sqrt(448) - sqrt(448)) + sqrt(448))*-5)**2*-1.\nAnswer: -11220 + 392*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*15\/((-225)\/(-6))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -3\/7, 8, 0, -5.46 in descending order.\nAnswer: 8, 0, -3\/7, -4\/3, -5.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1065*f + 52. Let o be w(4). Suppose 5*p - o = -4*v + 622, 0 = -v - p + 1234. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2398356 and 15?\nAnswer: 11991780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55890.00035 + 55898. Let n = 36 - 44. Let h = n + u. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60876 - -70?\nAnswer: -60806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 15) in base 3?\nAnswer: 102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*s + 11*s + 1035 - 179 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25\/48 + -1\/48. Let v = -8 - -12. Let u = 0.187 - 0.087. What is the closest to g in -2\/5, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i - 3 = 0, -3*x = 4*i - 13842. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/842607 and 47\/1524825.\nAnswer: 568759725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 705681228 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:10 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477304 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 78547 divided by -34\nAnswer: -78547\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b3c (base 13) in base 10?\nAnswer: 30471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 36*z. Let x be j(-36). Suppose -3*b + 4*b - 1 = x, -8 = -3*t + b. Solve q - 6 = t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -63, -3, 2, -5 in ascending order.\nAnswer: -63, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 75347183.\nAnswer: 75347176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1124724 and 24.\nAnswer: 2249448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 37. Let x = 21 - g. Find the second derivative of 0*r**4 + 2*r - 6*r**x - 3*r wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330212.27 + 18008745.73. Let x = 18338953.00000032 - z. Let m = -5 - x. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7376*p - 17436 wrt p.\nAnswer: -7376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - -3.07. Let z = o - 3. Let t = -0.41 - 1.59. What is the nearest to t in 2\/13, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-2\/7)*t)\/t*t*t**(-1\/2))\/(t\/t**(-1)*t**(-5)) assuming t is positive.\nAnswer: t**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -23*p - 3. What is j(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjggjygjyygpygpgjgg. Give prob of sequence xp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.3841 years to months.\nAnswer: 1300.6092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 237 + -169. Let y(c) = -c**2 - 35*c + 4. Let z be y(0). Let d be z\/(-6) + (m\/3 - 4). Round d to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -630805 to the nearest one thousand.\nAnswer: -631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6.1. Put -2, t, 5 in ascending order.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 112 = -128. Let k = 9 - 16. Let r = k + 13. What is the greatest common divisor of y and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23268, -22985, -22702?\n\"Answer: 283*a - 23551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 96799673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 15) to base 6\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382581 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from {b: 5, t: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 0, -26 in ascending order.\nAnswer: -26, -3, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-7 - (-4 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 7*p**2 - 34*p - 13. Calculate t(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 612 - 286. Suppose 0 = s - j - 262. Suppose -2*z = -5*b + s, 5*b - 375 = -4*z + 219. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noug when four letters picked without replacement from {u: 1, n: 6, g: 1, c: 1, j: 1, o: 3}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (2 - (-2 + 0 + (-117 - -110))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 38 + -13 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-1)\/(-1)*-1). Let s(k) = 7*k**3 + 7*k**2 + 16*k + 11. Let v(o) = 11*o**3 + 10*o**2 + 24*o + 17. Let j(a) = 8*s(a) - 5*v(a). What is j(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 + 328*g**2 + 100 wrt g.\nAnswer: -4*g**3 + 656*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 + z + 5*z**2 - 3*z**2 + 0*z**2. Let v(d) = -d - 1. Let h = 74 - 73. Determine h*w(k) + 2*v(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from {w: 4, c: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w + 191 = -70*w + 687. Solve 4*g - 5*g - 4*f = -8, g + 2*f - w = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*b - 4 - 166*b + 4 as r*b + s and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2. Let z = 23 + -21. Let n(q) = -3*q**2 + 5*q**z - q**2 - 2*q**2. Give n(p(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1\/(2\/10). Let n(s) = -s**3 - s + 7. Let t(f) = -f**3 + f**2 + 6. Let c(x) = -3*n(x) + 4*t(x). Determine c(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 59468004961?\nAnswer: 59468004966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/21 and 53\/40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -906 - -8871?\nAnswer: 7965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6920086 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1024554146 - -5?\nAnswer: -1024554141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + n + 13, 2*i = i - 4*n + 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*l + 11 + 26, 0 = 2*f + 10. Suppose -38 = -4*x + 14. Suppose -x + 17 = -4*y. Is y != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2 - 0\/1. Suppose 3*v - 12 = 2*h, a = 3*v + 5*h + 11. What is the units digit of v - (2\/(-2) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62117 is divided by 62107?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-617294.\nAnswer: 2469176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-830)\/83 - (-22)\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, 1 d, and 1 w when four letters picked without replacement from cnndnnnjncnjnnnncyw?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346189962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 87\nAnswer: 17\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45678 - 17825 = 572*b - 40215 for b.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - y - 5*y + (0 + 3 - 4)*(13*y - 3*y - 5*y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from zubyzukgk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let p be (-992)\/(-40) + (-8)\/10. Suppose 6 + p = b*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346316 - 4*x**2 - 1385233 + 346315 + 346322 + 346280.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 783051152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - b**2 - 41. What is u(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -128. Suppose w = 3*m + v, -m = -v - v + 3. What is the greatest common factor of 5 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1990.816 and -72.\nAnswer: -143338.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11750 and 4700.\nAnswer: 23500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1277.\nAnswer: -127.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223157051.\nAnswer: 13, 17165927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.779 + 16. Let f(j) = -j**3 - 17*j**2 - 4*j - 70. Let u be f(-17). Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 10*i**3 - 399*i**2\/4.\nAnswer: -i**2*(i - 21)*(i - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*p - 105, 4 = 4*l - p + 91. Let t(o) = -o**2 - 23*o + 2. Let b be t(l). Solve -2*f = b - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 4, b: 2}. Give prob of picking 1 b and 1 o.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3471.238 + 72.06262.\nAnswer: -3399.17538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) - (sqrt(26) - (sqrt(26) - 1*sqrt(26))))*6)\/(sqrt(32) - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/21, 5, -0.67, -736, 2\/7, -0.3?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(325) + -1*sqrt(325))**2 - sqrt(325)) + (-1 + sqrt(13) + 0 - (5 + sqrt(52) + sqrt(13)))**2 + -5*(5*sqrt(13)*2*-6 + 2).\nAnswer: 78 + 319*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1850548 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249.88 + 247.08. What is the second smallest value in 5, -7.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20706\/(-1764) + (-3)\/7 + 12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-389)\/3)\/((-9)\/4). Let f = -2024760 + 109333583\/54. Let i = f + d. What is the common denominator of -45\/2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggcfdh. Give prob of sequence gd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from fefefefeffeefe?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 57716.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-214.\nAnswer: -21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = u - 1, -3*k - 31 = 5*u. Suppose -14*a = -12*a. Sort 6, a, k in increasing order.\nAnswer: k, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g**3 - 6*g**2 - 6*g - 6. Let i(s) = -s**3 - s**2 - s - 1. What is -6*i(u) + q(u)?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6016)\/1792 + (-20)\/(-8))\/(39\/(-28)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, -3, -16?\n\"Answer: -13*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 4, g: 4, x: 1, s: 6, v: 3}. What is prob of picking 1 v, 1 p, 1 s, and 1 o?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3666701 or -3666627?\nAnswer: -3666627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -85220900 divided by 3475\nAnswer: -24524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91017404 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 71*n**3 - 5*n**2 - n - 5. Let l(p) = 8*p**3 + 1 + 2124*p**2 - 43*p**3 - 2122*p**2 + 1. Determine 5*l(g) + 2*v(g).\nAnswer: -33*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12976781135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 4*m + 15, -240*h + 244*h + m = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37962561*d*i + 169785980*i wrt d?\nAnswer: 37962561*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*b**2*c**3 - b**2*s**3 + 2*b**2 + 71*b*c**3*s**3 + 2*b*c**3*s**2 + 5*b*c**2*s**2 - 2*c**3*s**3 wrt s.\nAnswer: -6*b**2 + 426*b*c**3 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.314102824 rounded to three decimal places?\nAnswer: -3.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwvwwwvwvw. What is prob of sequence vvv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 5*f + 6. Let r be (9\/1)\/((-6)\/4). What are the prime factors of o(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24026811 a multiple of 1175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a972 (base 11) to base 10\nAnswer: -14478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*o + 3 - 366*o - 3.\nAnswer: -277*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-6)*55\/330*13\/(13806\/27)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14042*c + 731484 = 14055*c. List the prime factors of c.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5591*s**2 - 513*s**2 - 2653*s**2 + 3*s - 3*s.\nAnswer: -8757*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/36? (a) 2\/3 (b) -2163 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1401 + 2135. Let i = y - 734.000618. Round i to 5 dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/60 + 23*r**5\/30 - 17*r**4\/8 - 4*r**3\/3 - 14*r**2. Is c(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmbfydf. Give prob of sequence xxb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*s + 14, -4*p + 5*s + 3 = -2. Let i(l) = -615. Let w(m) = 1384. Let v(t) = 9*i(t) + 4*w(t). Let c(d) = -d - 6. Calculate p*v(j) + c(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(72))*-1 + (-2 + sqrt(72) - sqrt(72))*6)**2*-4 + 1.\nAnswer: -771 - 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 + -1.1. Let s = u - -5.1. Let m = -52.6 - -53. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.009477.\nAnswer: 0.047385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/6 - 4*h**3 - 11*h**2 - 7*h + 4. Factor p(z).\nAnswer: -2*(z + 1)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -0.01437, -2\/15, -3?\nAnswer: -0.01437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41\/5 + 359\/45. What is the closest to -2\/7 in b, 0.5, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93352991?\nAnswer: 93352991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(275) + -4)*1 + (sqrt(275) + -2 + -5)*-4)*-3*2)**2.\nAnswer: -100800*sqrt(11) + 542700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 22*r + 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 5*z - 11 = 0, -5*i + 5*i + 39*z + 3 = -4*i + 35*z + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 2642, 6104, 11016, 17396, 25262, 34632, 45524?\nAnswer: 57956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 14*p + 20. Let f(l) = -l**2 + 5*l - 7. Let a(v) = -18*v**3 + 2*v**2 - 2*v + 1. Let w be a(1). Calculate w*f(b) - 6*o(b).\nAnswer: -b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43256 and 3552?\nAnswer: 19205664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 504121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -14. Let d(v) = -v**2 + 8*v - 6. Let g be d(t). Suppose -4 = 4*z, 0*z + 2*z - 10 = -3*h. Is g at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7417 = 3*n - 4*c - 16053, -2*n + 5*c = -15642. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12066 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 37*p + 4967873 - 18609941. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16162426.8us to days.\nAnswer: 0.000187065125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from affbfjfffafbjf.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 0.1. Sort -3, f, 0 in ascending order.\nAnswer: -3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**4 - 22*g**3 + 67*g**2 - 70*g. Let h(c) = -135*c**4 - 595*c**3 + 1795*c**2 - 1890*c. Let v(u) = 2*h(u) - 55*y(u). Factor v(x).\nAnswer: 5*x*(x - 2)*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*t + 16 + 2*t.\nAnswer: 6*t + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 13*r - 33. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.07 - 0.07. Let x = 0.46 - 0.26. Which is the smallest value? (a) x (b) o (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w + 3. Let a = -1 + 1. Let s = a - -3. Calculate i(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102018 - 51011 - 152*c**2 - 51007.\nAnswer: -152*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u + 27 + 50)*(2 + 7 - 3)*(6 - 6 - 3*u) to a + n*u**2 + o*u and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 408*v**2 - 6*v - 47. Let d(m) = -815*m**2 + 14*m + 96. Let t(a) = 5*b(a) + 2*d(a). Find the second derivative of t(y) wrt y.\nAnswer: 820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -662, -2689, -6900, -14087, -25042?\nAnswer: -40557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/6 + (-1)\/(-2). Suppose a - 1 = 0, -5*a = 2*u - 3*u - 1. Suppose -4*q + u*p = -6*q + 30, -b*q + 4*p = -5. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 6. Let o be k(6). Let h be 0\/(5\/((-10)\/(-4))). Let b be 3\/((-4)\/(-8)*2). Solve o = -b*i - h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662209964 to the power of 1\/2, to the nearest integer?\nAnswer: 51597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18493\/4818 + 4\/803. Find the common denominator of u and -46\/47.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 3, -2, 77, 2 in descending order.\nAnswer: 77, 61, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 45 = -x, 0 = -4*i - 5*x + 14 + 25. Suppose -16*j = -i*j - 10. Solve -2*k + 3 = -k - j*t, 0 = -5*k - 5*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 9*r - 32. Calculate the smallest common multiple of s(12) and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, -2459, -3 in descending order.\nAnswer: 19, 0, -3, -2459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400892 and 12?\nAnswer: 1202676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/121685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1589572 from -5.\nAnswer: -1589577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4858 = -3*w + 870*r - 871*r, -2*r + 4862 = 3*w. What is the remainder when w is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 69. Let g = k - 23. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 6. Calculate the common denominator of -24 and 119\/(-98) - o\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((15\/(-12))\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1106*h + 3799. Let d be m(-4). Is d != 8223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 + 9*n - 12. Calculate c(11).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 346 - 826 = -5*a, -5*a = -5*p - 480. Suppose 4*m + 70 = 5*d - 2*d, -4*d = -4*m - a. What is the greatest common factor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l - 202 = -41*l. List the prime factors of l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1502357?\nAnswer: -1502360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (567\/(-42))\/(28\/(140\/15)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/20 and -87\/292.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 5*z**2 + 11*z + 47. Let k be i(-3). Let d(x) be the first derivative of k*x + 0*x**2 + 26\/3*x**3 + 31. Differentiate d(n) wrt n.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001626332449 to six dps.\nAnswer: 0.001626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1435 + -523157?\nAnswer: -524614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/1995420 and 181\/360.\nAnswer: 11972520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36680979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 255980957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Suppose 2*c - 2*x = 3*c - 30, 2*c = -3*x + 55. Suppose 0 = -5*p + 4*q + 35, 5*q + c = q. Solve -f - 2 = -p*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583440 divided by 3\nAnswer: 194480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120) - sqrt(1470)*2)\/((-3*(1*sqrt(100) + sqrt(100)))\/sqrt(10)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*w + 16, 16 = -4*w - 12*t + 8*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 8}. Give prob of sequence ttt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/12)\/(10\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94, 126, 232, 448, 810, 1354, 2116?\n\"Answer: 6*b**3 + b**2 - 13*b + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = -3*h + 37, 5*h - 55 = -2*q. Suppose -t + 1 = f, -3*f + 2*t + t + h = 0. Let j(l) = -l + 6. Let s be j(3). Sort s, -2, f.\nAnswer: -2, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, t: 6, n: 4, f: 4}. What is prob of sequence ff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a minute in seconds?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -622 - -616. Let n(z) = z + 9. Determine n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(768)*1 + sqrt(768) + (-1 + sqrt(768) + sqrt(768) + -4 - sqrt(768)))**2 + -2*(sqrt(768) + -1 + 2)**2 + -1)*6.\nAnswer: -960*sqrt(3) + 32244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16, 3*t - 133 + 138 = -k. What is the nearest to 0 in t, 4, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let z(y) = 2*y + 8. What is 5*c(x) - z(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.96 - 0.04. Let s = -55127 - -55127. Which is the closest to -0.1? (a) r (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a + 1. Let z(t) = 87*t + 4. Determine 3*c(g) + z(g).\nAnswer: 54*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 3, s: 7}. What is prob of sequence ssgg?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:27 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150613 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-10) - (-2 - 1). Let r(f) = -f**3 + 9*f**2 - 11*f - 19. Let x be r(7). Suppose 3*n - 117 = -2*k, 3*k - g*n + x*n = 156. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13872 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 33 + -42 + (-10 - -1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 5. Let o be ((-36)\/3 - -7)*6\/(-5). Let u(l) = 5*l**2 + 6. Calculate o*u(g) - 7*z(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.173 - -0.073. What is the closest to f in -4, -1\/7, -0.44?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.0277 decades to months.\nAnswer: 95403.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23208043, 23208044, 23208045, 23208046, 23208047, 23208048?\n\"Answer: i + 23208042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)*-2*4. Let j(t) = t**2 - 12*t + 36. Let s be j(9). Suppose s = 4*m + 1. Solve 3*k = 5*i + u + 14, i = -k + m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p + 6 + 107*p**2 - 107*p**2 - p**3. Let y be x(-7). Suppose 0 = 2*o - 0*o - y. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 j, and 1 c when four letters picked without replacement from ncjjjgngj.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 18*f - 64. Let x be r(-5). Which is the second smallest value? (a) 3 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**3 + 0*c + 9*c**2 + 0 - 1\/12*c**4. Let k(z) = 16*z + 1. What is s(k(g))?\nAnswer: -32*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 n when four letters picked without replacement from {o: 3, p: 8, s: 1, n: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*m = 2200, 2*i - 2*m = m + 1465. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 530\/195*3 + 58\/(-377)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 703923.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 5, -8, -2, -23 in decreasing order.\nAnswer: 5, -2, -8, -23, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z + 139 = 41 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -56, -186, -370, -608?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180669332 to the nearest integer?\nAnswer: 13441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*k = 3*a + 3, 6 = 54*k - 52*k for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 1, 0, -416, -1 in ascending order.\nAnswer: -416, -1, 0, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 10:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*-1*4*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 51.54. Let r = s + 0.06. Let p = 0.36421 - 0.56421. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*s + s, k + 5*s = 35. Let f(y) = 8*y**2 + 5*y + 12. Let t be f(-2). Let j = t - 19. Solve -q = q - 4*r + k, -4*q = -r - j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -340.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 332441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h**2 - 10*h**2 - 19*h**2)*(1 - 1 + 3*h) + h**3 + 2*h**3 - 2*h**3.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4 - 13*j**3 + 3*j**2 + 2340.\nAnswer: -4*j**3 - 39*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 204.\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 528, 2467, 5850, 10713, 17092, 25023?\n\"Answer: 6*m**3 + 686*m**2 - 161*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 6*v + 2*v**3 + 2*v to the form o*v**3 + j + l*v + n*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 7*i - 6. Let p be u(5). Find the second derivative of p*r - 5*r**4 + 3*r**4 - 5*r wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 24. Give j(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415026829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107816713*c**2 + 4030*c - 4742.\nAnswer: 215633426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 4*r**3 + 10*r**3 - 4*r**3 + 2*r**3 + r**3 + (3 - 3 + 2*r)*(-5*r**2 + 3*r**2 + 4*r**2) - 3*r**3 + r**3 + r**3 + 2*r**3 - r**3 + 0*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.075 + 0.15. Let x = 13.525 - k. Let n = x - 13. Which is the closest to n? (a) 1\/10 (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -32*p + 269. What is y(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15))\/((-24)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 160*s**4 - 1800*s**3 + 8000*s**2 - 10000*s = 0. What is s?\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 272848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**6\/90 + 7*p**5\/30 - p**4 + 2*p**3\/3 + 6*p. Let v(y) be the second derivative of x(y). Factor v(w).\nAnswer: -4*(w - 6)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 3. Let x = g - 21. Sort 2\/5, x, 2 in increasing order.\nAnswer: 2\/5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12.192837, -4, -2\/3?\nAnswer: -12.192837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sowossoojos. Give prob of sequence oo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.414503481 rounded to 2 decimal places?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 13\/32, -0.1, -20\/11 in decreasing order.\nAnswer: 13\/32, -0.1, -3\/4, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103278778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5490 + -5450. What is the highest common factor of 11000 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8229\/11 + -748. Put 1\/7, -0.03, -1, n in descending order.\nAnswer: 1\/7, n, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 61. Let l(q) = q. Give l(s(z)).\nAnswer: -z**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from eeqbqeqb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15*k = -77. Calculate the least common multiple of k and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 0*y**2 + 9*y**2 in the form f*y**2 + s*y + l and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 26*y - 36 - 28. Put 214, 3, y, 0 in ascending order.\nAnswer: 0, y, 3, 214","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1780*w + 152 = -1993*w + 2921 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:26 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**8\/336 + a**4\/8 + 3*a**2\/2 + 3*a. Let y(w) be the first derivative of t(w). What is the second derivative of y(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 5. Let f be 5 - ((k - 0) + -1). Is f < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 37*c**2 - 4*c + 147. Let d be o(37). Let l be -9 - (-4 - (-6 + -1))\/d. Let r(j) = -7*j + 8. Let i(a) = 7*a - 7. What is l*i(q) - 5*r(q)?\nAnswer: -7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2994708 and -11\/490782?\nAnswer: 470169156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 301047998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45978, -183907, -413782, -735603, -1149370, -1655083, -2252742?\nAnswer: -2942347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 776 (b) 3 (c) 4 (d) 24\/7 (e) 2\/7 (f) -13 (g) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1632203159 and -1337?\nAnswer: 1632201822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 26239792.\nAnswer: 131198960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3752 + 3752.001577. What is w rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48338110 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29201039.\nAnswer: 7, 31, 53, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -535, -1093, -1697, -2371, -3139, -4025, -5053?\n\"Answer: -4*h**3 + h**2 - 533*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578839332?\nAnswer: 2, 3, 19, 2538769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 s when four letters picked without replacement from pkzpkzkzkzkskppkpkz.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = t + 5*x, -119*t - 3*x = -122*t + 5*x + 40 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 16*y**2)*(-3 + 6 + 5)*(53*y**2 - 52*y**2 + 4*y - 3*y).\nAnswer: 128*y**4 + 128*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -3\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -548, 59, -4 in increasing order.\nAnswer: -548, -4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 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: Multiply 8752 and 0.3.\nAnswer: 2625.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -143.636. Let w = -79.29 + 80. Let d = w - g. What is d rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. What is the second derivative of -2*p**2 + w*p - 14*p + p**2 - 7*p**2 wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-87)\/((-6)\/8*2). Find the common denominator of -53\/44 and ((-6)\/16)\/((-9)\/x).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.4 and 243781473.\nAnswer: 243781474.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13793099 by 13793099.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(4\/(-170) + 0). Let b be (-1)\/(171\/p + 2). Suppose 5*j + 3*k = 666, -2*j + 3*k = -194 - b. Calculate the highest common factor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 15 (b) -19 (c) 8.867 (d) -0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 3*j - 3. Let p(l) = -l + 1. Let z(m) = -n(m) - 3*p(m). Let d(u) = 113 - 93 + 0*u + u - 5*u + 3*u. What is d(z(o))?\nAnswer: -2*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 38 - ((-920)\/56 + -6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 56. Suppose -c*f + 2*f + 27 = y, 2*y = -5*f + 150. Suppose -f = -7*t + 5*t. Solve 0 = s + 3*s + t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/69, -9, -4\/3, -0.9, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*x - 4*w - 17, -5*x + 2*w - 15 = 0. Let a = -14.5484 - -0.0284. Let g = -12.52 - a. What is the nearest to 0.3 in x, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 11\/(22\/12). Let n(x) = 624*x**3 - x**2 - 2*x - 1. Let d be n(2). Suppose c*q = -d + 863. What is q rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547*p - 547*p + 249*p**3.\nAnswer: 249*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 = -8*z. Let m be 9\/(z - (-1)\/(-2)). Let o = -6 + m. Put o, 2, 4 in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73\/4 - -18. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let v(q) = 311*q**2 - 2878. Calculate v(t(k)).\nAnswer: 1244*k**2 - 2878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47381400 divided by -825?\nAnswer: 57432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1024 - 956. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + 152. What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/29 - 139740\/(-580). Solve z = 3*r + 7, d*r - 246*r = -4*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 17560\/87 and 203 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = -7*o - 3*z, 0 = -o + 636715*z - 636713*z + 45 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:46 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -17*z**2 + 5*z - 1. Let s be 184\/(-48) - 2\/12. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9432 + -3?\nAnswer: 9429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*n + (0 + 2 - 1)*(2*n + 2*n - 2*n) - n + 3 - 3 - n + 2*n + n - 2 - 2*n + 2 + n + n + 0*n + 3*n - 7 + 7.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*p - 12*n + 9*n, 3*p + 3 = -2*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -37611?\nAnswer: 37613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*k - 24824, 3*k + 1 = -5. Suppose 755 - p = -35*v. Calculate the highest common divisor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 8*s**2 - 2*s**3 - 9*s + 10 + 8*s**3. Let b be n(-9). Find the common denominator of (-50)\/(-64) + 20\/b and -65\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 8158535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 15. Suppose r - 2*g = 1, a*r + 21 = -g + 7. List the prime factors of r*(1 + 25\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, -13, -35, -57?\n\"Answer: -22*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 - 147. What is the lowest common multiple of c*13\/((-195)\/(-6)) and 58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 2)*(0 + 2*s**2 + 0) - s**2 + 5*s**2 - s**2)*(3*s**2 - 1 + 1) to v*s**3 + d + a*s**4 + u*s**2 + b*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223*45949.\nAnswer: 10246627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4\/5 - 16*a**3\/5 - 12*a**2 + 232*a\/5 - 32 = 0. What is a?\nAnswer: -4, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 6. Suppose 0 = -b + 3 - 0. Let i be 2\/(12\/3 - 2). Let c(j) = 10*j + 13. Let x(d) = d. Let l(g) = b*x(g) + i*c(g). What is 4*l(f) + 9*v(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 621 - 1422?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a)*((1 - 1 + 2*a**2)*(-4 + 1 + 1) + 2*a**2 + 0*a**2 + 3*a**2).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18810 and 33345.\nAnswer: 733590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 20*a**3 - 14*a**2 - a + 23. Let t(o) = 7*o**3 - 5*o**2 + 8. Let j(h) = 6*s(h) - 17*t(h). What are the prime factors of j(4)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110361115 - r - 110361115.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + sqrt(9)*2)*-6.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*b - 2. Solve 2*q - 6*q - 10 = -3*t, 0 = -q + 3*t - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 821 + 4*r**4 - 4*r**4 - 243329*r**5 - r + 248378*r**5 wrt r.\nAnswer: 100980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1757321678 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3300 - -6609. What are the prime factors of z?\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1999 + -1369. Suppose 4*d = -5*u - k - 23, 0 = 3*u - 3*d + 381. Round u to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 15, 15, 9, -3, -21?\n\"Answer: -3*p**2 + 15*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 24. Let g = -1 + -1. Let o be (-4 + g)*2 - -3. Is x(o) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ad08 (base 16) to base 6\nAnswer: 541024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 2*k - 7. Let g(x) = -17*x**2 - 8*x - 30. Let m(a) = 26*f(a) - 6*g(a). Calculate m(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-2)\/(-3)). Let y = 12 + l. Let g = 16260 + -16169. What is the highest common factor of g and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - u**3 + 0*u**2)*(193 - 193 - 286*u).\nAnswer: 286*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.29 + -94. Let u = h + 4.71. Let r = 3.6 - u. What is the second biggest value in -3\/2, r, -0.6, -2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -32, -62, -110, -182?\n\"Answer: -x**3 - 11*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 36380\/3 and -0.07 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10) + 3672\/2720?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536587 - 20*k**2 - 15*k**2 - 536586.\nAnswer: -35*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3052a - -6?\nAnswer: 30530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(325) + (sqrt(13) + 1 - sqrt(13))*2 + sqrt(13).\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n = 48*n + 9304. List the prime factors of n.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.28. Let s = y - 0.2789. Round s to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3983 and 1?\nAnswer: -3983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from ptpdqwvqqpvptqt?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 6*sqrt(77)*-2)\/sqrt(11).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 4*f**2 + 2*f + 3. Let u = -18 + 22. Let o be w(u). Suppose -5 + 55 = 5*b. Which is bigger: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1243.3996 + -9.6.\nAnswer: -1252.9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-3)*q)\/((q\/q**(-3\/7))\/q))\/((q\/q**6)\/q**(-2\/3))*((q*q**(1\/4))\/(q\/(q\/((q**(1\/5)*q*q)\/q*q*q)*q)))**(3\/10) assuming q is positive.\nAnswer: q**(15203\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f)**(28\/5)\/(f**1)**(-10) assuming f is positive.\nAnswer: f**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -349, 3\/163?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164886 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 58, -2 in descending order.\nAnswer: 58, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.54 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-38)\/(-80) - (-2)\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 2850 = -99*u - 3148 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27311175 by -202305.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + x)*(1 - 5 - 11)*(-6*x**3 - 12 + 12).\nAnswer: 90*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17348425, -69393693, -156135805, -277574761, -433710561, -624543205, -850072693?\nAnswer: -1110299025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*h**3 - 2*h**2 + 2*h**2.\nAnswer: -195*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 938958358 to the power of 1\/2, to the nearest integer?\nAnswer: 30642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 - -5. Let u = 8.75 - -669.25. Let l = 674 - u. Which is the second biggest value? (a) p (b) -3\/4 (c) l (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8859*i**3*l**3 - 3*i**3 - 636*i**2*l**2 wrt l?\nAnswer: -53154*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28256 (base 9) to base 16\nAnswer: 4adf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Suppose 0*k - k = -2. Let a(p) = -136*p + 136*p + p**k. Give x(a(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.95082nm to kilometers.\nAnswer: 0.00000000000895082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.1 - -12. Let v = y - 0.1. Let k = -4 - -7. What is the closest to 1\/3 in 4, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let p = -99\/2 + 49. Is s bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/2014009?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -71*p - 5. Let o(v) = -356*v - 26. Give -16*b(f) + 3*o(f).\nAnswer: 68*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = 5*d, -5*i - 2 = -4*i + 5*d. Let g(h) = -2*h**2 + 4*h + 1. Let c(p) = -84997*p + 85000*p - p**2 - 2 + 2. Give i*g(m) - 4*c(m).\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15699, -15706, -15719, -15738, -15763?\n\"Answer: -3*x**2 + 2*x - 15698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1849 + -0.1649. What is the nearest to z in 3, 22, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5596749298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*n - z, -45 = 20*n + 254*z - 130*z - 129*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 147361 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/6 - 5*b**3\/6 - 3*b**2\/2 - 4*b. What are the prime factors of l(6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459440 rounded to the nearest ten thousand?\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {j: 5, s: 2, c: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 34*t**3 - 7851*t**2 - 90220*t - 245388 = 0.\nAnswer: -13\/2, -78\/17, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (3 - -2))*(-6)\/5. Let z(w) = 7*w**2 + 6*w + 6. Let f(c) = 15*c**2 + 13*c + 13. Determine h*f(b) - 13*z(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1597*d*i**2 + 38*d*i - 10*d wrt i?\nAnswer: -3194*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362608 is divided by 44933.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 + 10 = 5*j, 0 = 5*j - 2*s - 18. Suppose 0 = d - 9 + j. Let u(n) = 2*n**2 + 13. Is 31 a factor of u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 10) to base 4.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 0 - 30. Suppose -v - 7 = -4, v = -s*n + 27. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141680315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -92, -75, -34, 31?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = -13*i. Let o(v) be the third derivative of 1\/30*v**6 - 6*v**2 + i + 0*v - 7\/6*v**3 + 0*v**5 + 0*v**4. Differentiate o(t) with respect to t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -97*p - 38. Let c be j(-6). Suppose -3*w + 4*k = 2*k - c, 4*k = -3*w + 532. Calculate the greatest common factor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/85)\/(24\/120).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826667 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46976846003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 5:01 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3550*c - 2809*c + 1698*c.\nAnswer: -4661*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 16) to base 14\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 75, 1, 3, -24, 0.3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 146342445 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*y**2 + 10148*y + 2793881?\nAnswer: -16*y + 10148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2122 - 0.0878. Which is the second smallest value? (a) 15 (b) y (c) -12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 5332389*s + 9478124149107\/2.\nAnswer: 3*(s + 1777463)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-11))\/(28\/8*(-12)\/(-56))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 19. Let u be (-5)\/(-1)*(-8 - -9). Let x be u\/(f\/(-2)) - 0. Is -1\/8 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883*a = x - 880*a - 16798, 0 = 5*x - 2*a - 84024. What are the prime factors of x?\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -2, -0.2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -85, -1, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(392) - (-2 + sqrt(392) - sqrt(392)))**2 + 3 + 0.\nAnswer: 56*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 f when three letters picked without replacement from mmmfmdmqmqfdd.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*k - 405*k + 59*k as r*k + f and give r.\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2 + 5*h + 6. Let b be -10*(-2)\/4*12\/10. What is k(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/33))\/g**(2\/17))\/(g\/(g*g**(-2)))**42 assuming g is positive.\nAnswer: g**(-46595\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 - t**2 + 7*t**3 - 3 - 3*t + 0*t**3. Is b(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 494 + 114 + 123 - 5*d + 123.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 6. Is (120\/(-2))\/(s\/(-7)) + 1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083057612?\nAnswer: 2, 19, 983, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*r**(2\/19) assuming r is positive.\nAnswer: r**(-93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -452374.\nAnswer: -12\/226187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 8. Let m = -3 + 9. Let c be g(m). Suppose 2*d - 4*r = 7*d - c, -d - 3*r = -1. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 17*x + 15. Let u be q(8). Suppose 1627 = -2*z + u*z - 4*j, 0 = 2*z + j - 643. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1672 = 3*h + h. Let t be h\/(3 + (-183730)\/61244). Suppose -o = 5*n + 6400010, -2*o - t = n - 3*n. Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l + 30. Suppose 2*b - 98 = -3*d, -3*b - 12 = -d + l. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 30*a - 14*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(2\/56*14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1 + 0) - 1. Suppose x*v = -61 + 241. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a84 + 0?\nAnswer: 3a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61209, 244770, 550697, 978984, 1529625, 2202614?\n\"Answer: -q**3 + 61189*q**2 + q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - 479\/3. Which is the nearest to 0? (a) h (b) 1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 7*n**3 + 48 - 253*n**2 - 29.\nAnswer: -7*n**3 - 253*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 3*w + 2. Let f be c(4). List the prime factors of f\/6 - (-58)\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2896 = 46262*a - 46443*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 1. Let w(y) = 4*y**3 + y**2 - 2*y + 1. Let j be w(1). Suppose -15 = j*q + 29. Let c(z) = 0*z + 132 + 2*z + 115 - 245. Give q*v(g) - 6*c(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3245742669 + 3245742725.00000108. Let l = 64.3 - 8.3. Let r = b - l. What is r rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 16 + -20 + -1 + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16620.9772 + 16626. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/(-158))\/(62\/(-2852))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:12 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 598840228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 5*l + 4. Let x be m(1). Calculate the remainder when x\/9 - 5\/((-15)\/196) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495153 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53a9c0 - -4?\nAnswer: 53a9c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -43. Suppose p*i + i - 8 = 0. What is the second biggest value in 4\/5, i, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576.2595 millilitres to litres.\nAnswer: 0.5762595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 2)*(0 - 2*d + 0)*(0 - 9 - 2)*(-1 + 1 - 3).\nAnswer: 330*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/50 and (-44)\/11 + -21*148\/(-360).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437 + 1507 = -4*c. Let r be ((-5)\/(-5) - c - -5)\/2. What is the highest common factor of 106 and r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-1)\/(-2)). Let z(k) = k + 5. Let o be z(d). Calculate the remainder when -2 + (118 + o)\/2 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 163.9 + -175. Let l = i + -0.9. Let q = -12 - l. Which is smaller: 0.5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24562727 - -9949.\nAnswer: -24552778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 110*p**3 + 1068*p**3 - 5*p.\nAnswer: 1178*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(126)\/sqrt(7) + 4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 22. Let g(z) = -8*z**3 + z. Let o be g(-1). Let t(q) = q - 4. Let w be t(o). Solve -w*s = 10 + 2, -29 = m*x + 5*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - ((-37)\/(-5) + (-8)\/20). Put 1, w, 3 in decreasing order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -3*k, 4*k = -5*q - 11. Let s(y) = y + 1. Let u be s(q). Put -4, 3, u in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -2, -3.\nAnswer: -11, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 29*h**3 + 4*h**2 + 13*h - 10. Let j(d) = 44*d**3 + 6*d**2 + 20*d - 15. Let i(c) = -5*j(c) + 8*u(c). What is the second derivative of i(y) wrt y?\nAnswer: 72*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(5 + 289)*(-4 - -7)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108)*1 + sqrt(108)))*-1)\/(sqrt(18)\/(-1*sqrt(2))))\/((-6*2*sqrt(150) - sqrt(150))*3).\nAnswer: sqrt(2)\/195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let f = -12 - p. Let i = 8.0015 + f. What is i rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124.89 and 0.545?\nAnswer: -68.06505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/462 and 6\/721.\nAnswer: 47586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdj when three letters picked without replacement from {d: 1, l: 2, j: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 6:27 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384\/55 bigger than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3700*m**2 + 6859*m**2 + 8408*m**2.\nAnswer: 18967*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from quqtqtuttqqiqqqqtt?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10528 = 26*f - 145446. What are the prime factors of f?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1738, -3360, -4966, -6556?\n\"Answer: 8*o**2 - 1646*o - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from xkfkxxkkdkxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 8:17 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -145 in 0, 0.1, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. What is the remainder when 3*(-15)\/18*-4 is divided by (-4)\/24 - (-25)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - 0.05. Let q = -436\/2665 + 2\/205. What is the smallest value in p, q, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/12 - q**3\/6 + q**2\/2 - q. Suppose c - 8 - 4 = 4*h, -h = -c + 6. Let o(x) = -2*x + 4. Determine h*m(p) + o(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3038 and 2172968.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20500009 = -5*v, 0 = 5*v - 5*u - 20150039 - 349946. Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*(m*m*m*m\/(m*m*m\/m**(-2)*m*m)*m)\/m*m*m**(-1)*m*m*m\/m**(-5\/6)*m\/(m*m*m*m**(-3\/11)) assuming m is positive.\nAnswer: m**(139\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -99*u - 100*u - 91*u + 23 - 15*u**2 + 270*u. Let s(a) = 5*a**2 + 7*a - 8. What is -6*f(b) - 17*s(b)?\nAnswer: 5*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 235651673909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 5, r: 2, d: 1, y: 1, t: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586299 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/3 - 61760*t - 1297058\/3 = 0.\nAnswer: -7, 92647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2564 + 10250. Let t = k - 7685.99995233. Round t to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:35 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -90058140 rounded to the nearest ten thousand?\nAnswer: -90060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 38*r - 15. Let i = 0.9 - -0.9. What is the fourth biggest value in -3\/7, i, r, 2\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p + 6. Let d be f(-6). Suppose 0 = -2*j - 0*j + d. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2703 and -107\/30?\nAnswer: 27030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 631.\nAnswer: -5\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 7. Suppose -4*t = -3*m - 12, 0*t + 6 = 2*t - 2*m. Let l(j) = -j + 8. Let g(q) = t*l(q) - 4*d(q). Let y(k) = k - 3. What is 4*g(x) - 6*y(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9158777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1335 + 1344 - (6 - 21)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13695730 and -294152.\nAnswer: 13401578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.55 * -290.5\nAnswer: -159.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 42?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**3 - 2*x**2 + 129*x + 253. Give p(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*p - 105. Let r = p - -33. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301683721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, f: 3, k: 2, j: 1}. What is prob of sequence fjfk?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*n + 20, -4*n = -3*n + 5*w - 20. Let b = n + 8. Calculate the least common multiple of b and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (10 + (-3 - 15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -41. Suppose -7*n + 29 = t. Suppose 5*j = -n*i + 2074, -3*i - 4*j = 2*i - 3435. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 6. Let w be (-2)\/(r\/81 + 0). Let g = w - -136. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 - 15*l - 6. Let q be h(3). Let y = -5.5 + 5. What is the biggest value in 2\/17, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*3)\/(7\/(168\/9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/108604296 and -41\/18.\nAnswer: 108604296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 29*d**2 + 31*d + 201. Is q(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c - 3. Let q = 7 + c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.8 - -32. Round k to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + (-17 - (-1 + 9) - -5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(48) + -1 + sqrt(3) + 4 + sqrt(12)\/sqrt(4) - (1*sqrt(33)*-6)\/sqrt(11) - (-3 + -1*sqrt(75)*-6 + 1)**2.\nAnswer: -2701 + 133*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -71 + (-44 - -38 - -10) + -5 + 19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:28 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - -1) + 14\/7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3 = 2*c + 3*k, c = -2*k + 10. Suppose 0 = -s - c*s + 35. Solve -5*u + s = 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*m = 5 + 2, -3*c + m = -69. Let z be 11\/55 - 164\/(-5). Calculate the greatest common factor of z and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/382 or 1?\nAnswer: 53\/382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2220260*-2\nAnswer: -4440520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 262720674 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = -2*l, 0*l + 4*a = 3*l - 28. Let q(w) = -w**3 + 13*w**2 - 11*w. Determine q(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/(-28) - (-194)\/184 and -71\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41794544 a multiple of 1266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, -4, 15, 2, -835 in increasing order.\nAnswer: -835, -5, -4, 0, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 15*t - 14. Let p be n(16). Solve 4*v - 6*i + i - 5 = 0, -2*i - 20 = p*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2250\/141750)\/(1\/(-6))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11111010?\nAnswer: -11111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 27626453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 134*m - 325. Let b be r(8). Is b less than 747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263889?\nAnswer: 3, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 23*l**2 + 12*l - 15. Give j(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -33543856?\nAnswer: 33543840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 22 - 3)*(-2*g**3 - 3*g**3 + 4*g**3) as h*g**3 + r + b*g + i*g**2 and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032 (base 6) in base 4?\nAnswer: -22130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3808 and 367472.\nAnswer: 734944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 4\/17, -0.1, 1, 1\/7, 4 in ascending order.\nAnswer: -0.1, 1\/7, 4\/17, 3\/8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:43 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3550\/16 + ((-3)\/8)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 2*i + 2*i. Let m(d) = d**2 - 8*d + d**2 + 8*d. Calculate q(m(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 59*n**2 - n - 8. Let w be k(6). Suppose -24*i = -177 - 63. Suppose -i*x - w = -12*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 8. Let d = 12 + -1. Let b be v(d). Suppose -b*j - 5*s = -19, -5*s + 25 = 3*j + 2*j. Solve -j*t - 5 = r - 0*r, -4*r = 5*t + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*d - 5*j, 6*d + 12 = 8*d + j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 7*f**2 - 7*f - 5. Calculate the remainder when y(-3) is divided by 10 - ((-2)\/2)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {t: 7, r: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2627 divided by 5\nAnswer: 2627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 3. Let c be m(-4). Let s(d) = 5*d**3 + d**2 - 2*d - 1. Let u(q) = 11*q**3 + 3*q**2 - 5*q - 2. Let l(j) = c*s(j) + 4*u(j). Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -720 times 3\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -29, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51230 and 87091.\nAnswer: 870910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**9\/(x**(-1\/8)*(x\/(x\/(x**4\/x*x)))\/x)*(x**7*x\/x**0)\/(x\/x**0)**(-7\/8) assuming x is positive.\nAnswer: x**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:02 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109.57 + -33.13. Let q = -0.111 + 149.111. Let f = q + a. What is f rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1444044 - 567448 = 28*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -51. Let p = r - -26. What is the third biggest value in p, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2888817.88 rounded to the nearest 10000?\nAnswer: -2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2907621.544 and -29831.\nAnswer: -2937452.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56518 and 56518?\nAnswer: 56518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d + 23 = 21 - 31. Let z(k) = -3*k**2 - 1. Let j(b) = 2*b**2 + 2. Let v(x) = -2*j(x) - 3*z(x). Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-3 + 3 - p + (0 + 0 - 2*p)*(-1 + 0 + 2) - 24*p + 8 - 8) to the form n + v*p and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1503 = t - 1076, 3*n = -4*t + 10306. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 7. What is the remainder when (-324)\/(-33) + v\/11 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 5.9. Round d to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -0.1. Let b be 30*(-3 - 423\/(-135)). What is the closest to 0 in r, b, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:04 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 2*h + 1. Let v be a(0). Let s be (1 - 7)*1*v\/(-129). Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 18*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 0 + 58*v to the form y + j*v and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5653*g - 5653*g - g**3 - 5651*g + 22605*g - 5648*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2743 (base 15) to base 9.\nAnswer: -12450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2764732, -2764730, -2764728?\n\"Answer: 2*d - 2764734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3138259.\nAnswer: 137, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + i**3 - 8*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 540 = -5*z, -2*m + 432 = 4*z + m. What is the greatest common factor of z and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmmmgnoaggmaa. Give prob of sequence naa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19433916.\nAnswer: 2, 3, 461, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = 2*k + 3*g, -3*k + g = 0. Let z = 7774\/11 - 706. Calculate the common denominator of z and (-712)\/(-224) + k\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/189 + 83*a**6\/135 - 235*a**5\/9 + 447*a**4 - 1539*a**3 + 2187*a**2 - 376*a. Let f(j) = 0. What is j?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -8\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, -3, 10, -33, 6 in decreasing order.\nAnswer: 10, 6, -3, -33, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p + 1 + 0*p + p**2 - 5. Let f be s(7). Let j = 9 + f. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-21)*l**20)\/((((l*l*l*l*l**35*l)\/l)\/l*l)\/(l**(-10\/9)\/l*l)))**(-2\/19) assuming l is positive.\nAnswer: l**(740\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + 242. Suppose -3*j = -j + 2*m - l, 76 = j - 2*m. Suppose 5*w = 2*w + j. What is the smallest common multiple of 12 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c**2 - 2*c**2)*(-3 + 1 + 1) - 4*c + 4*c + 1 - 2*c**2.\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-34)*g*g\/(g\/g**26) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -106.6 (b) 1 (c) 4\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5*z + 4 = 0. Suppose 5*r - 19 = 31. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -46, -101, -186, -307?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -389 (b) 5 (c) -2 (d) 5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/5 + 1351*k**4\/10 + 7827*k**3\/5 + 17789*k**2\/10 + 349*k = 0. Calculate k.\nAnswer: -10, -1, -1\/4, 0, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v - 21*v + 5 - 4. Let y(n) = 9*n - 7. Calculate -6*x(s) - y(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6.07*-17\nAnswer: 103.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*s + 1226 = -2134 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 8) to base 14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 2196, 7773, 18730, 36861, 63960, 101821, 152238?\nAnswer: 217005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20322 (base 6) to base 2\nAnswer: 101010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 b, and 1 i when three letters picked without replacement from xqqwixxbzxbw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f**2 + f**2 - 2*f**3 - f**3 - f**3 + (0*f - 4*f + 2*f)*(-3*f**2 + 4*f**2 - 7*f**2).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvuvo. Give prob of picking 3 v and 1 o.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddrdrdrddddrdddd. Give prob of sequence rdr.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from {d: 3, j: 3, z: 3, l: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -5*c**2 - 3*c + 4104. Calculate z(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*s - 16 = -151*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 = -f + 6, -65 = -3*f - 5*w. Suppose -3*v - 4*x = 4, -x + 8 = v - 2*x. Suppose 9 = -n + v*n. Solve 0 = -8*o + n*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**5\/5 - 79*v**3\/3 - v**2\/2 + 4083*v - 5605. What is the derivative of q(l) wrt l?\nAnswer: 8*l**3 - 158*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z - 4*t - 22 = 0, -4*z + 2*t = 16. Let f(d) = -2*d - 22. Let l(y) = 3*y + 20. Let n(a) = -3*f(a) - 4*l(a). Is 22 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208.4 - 209. Sort -1\/8, z, -10 in increasing order.\nAnswer: -10, z, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 196086481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564486 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 19 + 2*o**2 + 12*o + 22. Let c be w(-7). Solve -n = 3*i + i - 15, -4*i + 35 = -c*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*t + 3*o, 5*o - 4 = -3*t + 6*o. Let r(n) = -n**3 + 2*n**2 + 6*n - 7. Let p be r(t). Solve 3*a + 2*a - 3*j = 10, -p*a + 2*j = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.3021.\nAnswer: 0.1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13.36*-229327\nAnswer: 3063808.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 539, 1723, 3701, 6479, 10063, 14459, 19673?\n\"Answer: x**3 + 391*x**2 + 4*x + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1199\/7861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10411935 divided by 6.\nAnswer: -3470645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 480864280*k**2 + 371151043*k wrt k.\nAnswer: 961728560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**2 + 27*h**2 - 15*h**3 - 4*h**2.\nAnswer: -15*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let j = 23 - s. What is the remainder when 62 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 6. Let r be q(9). What is the greatest common factor of r and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(128) - sqrt(128)*-2).\nAnswer: -120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*t + 24900. Let b be 0 - -2*265988\/(-64). Let x = b + t. Find the common denominator of 13\/2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w + 28*w + 20*w + 7*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 6, 0 = 3*h + p - 3. Suppose -h*r + 4*r + 4 = 0. Let m = 1 + -1. Is m less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddndddndndd. Give prob of picking 1 n and 3 d.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h + 1. Let b(v) = 8*v - 1. Let p be (4 + 2 + -3)*1. Let j(s) = p*b(s) + 4*z(s). Find the first derivative of j(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*f - 355, -3*t + 3*f = 75 - 432. Let q be (-111)\/(-39) + 18\/t. Solve 2*v + 3*n + 15 = 8*n, -q*v = -n - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5492487 by 5369.\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 6. Let m(k) = -2*k**3 - 4*k**2 - 3*k - 1. Let p be m(-2). Suppose g = 0, 5*c + 4 = c - 3*g. Sort b, p, c.\nAnswer: c, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 44*r**2 + 4847*r - 172. Let w(s) = s**2 - s + 57. What is the smallest common multiple of q(95) and w(0)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5205764 at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.346 + 1217810.\nAnswer: 1217810.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v + v)*(-18 + 11 + 3 - 21).\nAnswer: -150*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let x(o) = 3*o. Let h(p) = 8*i(p) - 5*x(p). Let f(q) = 5*q + q - 4*q. Give f(h(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 225*s - 2452. What is the smallest common multiple of n(11) and 508?\nAnswer: 11684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 5 (b) -1\/1114 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 17. Let u = -0.3 + j. Let m = -7.1 - u. What is m rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-35321450)\/(-35)) + 66\/231. Round m to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21891 and 11.\nAnswer: 240801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 80 = -72 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12537 and 54?\nAnswer: 75222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902*k**2 + 831*k - 272*k - 275*k - 282*k to y*k**2 + o + p*k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -665.9?\nAnswer: 663.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 171?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 9327 - 18948 + 9621.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.349 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203300101 (base 4) in base 5?\nAnswer: -101033333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3617.13 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7692, 15499, 23386, 31353, 39400?\n\"Answer: 40*d**2 + 7687*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 34\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 342, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-29))\/(5650\/(-81925))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 825 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*x - 747416 = 0, 25*a - 22*a - x - 560574 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(500) - (sqrt(500) + 1)) - -4*(2*sqrt(500) - sqrt(500)))**2.\nAnswer: -320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/12 and -7\/195251874?\nAnswer: 390503748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/132*((-5742)\/696)\/(-11)?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-165)\/4)\/(105\/28 - 4). Suppose -5*v - 6*i = -11*i - o, 3*i + 69 = 2*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20114201, 20114205, 20114209?\n\"Answer: 4*v + 20114197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 0*b + 6 + 2*b + 0*b. Suppose j - 2*u + 3 = -4*j, 4*j + 2 = 2*u. Let r(x) = x - 1. Calculate j*l(f) - 5*r(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.2 + -15.35. Let d = s + 3.45. What is the closest to d in -2, 0.2, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -8\/5*z**5 - 1040*z**3 - 7600*z**2 - 24000*z - 66*z**4 - 20000 = 0.\nAnswer: -10, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a - 1. Let w be r(-3). Suppose 4*c + w*p - 10 = 0, -6 = -3*c - 0*c - 3*p. Solve 3 = -c*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cito when four letters picked without replacement from tctocicc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/16 + 53275625\/632. Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 367 + -365. What is the nearest to 1 in -0.2, 6, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/450 + (12\/10)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -64*f**2 - 2. Let j(x) = -4*x**2. What is j(h(r))?\nAnswer: -16384*r**4 - 1024*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*v + 4, 3*z - 6*z = 5*v - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 + 8*r + 62. What is the units digit of o(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135*l - 12305 - 29227 - 33378 = 0 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 14.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.02 + 17. Let p = x - -0.02. Let s = -0.003 - -4.003. Which is the nearest to p? (a) s (b) -2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17641 (b) -1\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 309712?\nAnswer: -309727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 5, o: 3}. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 3:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 84.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d - 258. Let b be j(33). Let h = b + 917. Calculate the remainder when h is divided by 81.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5771 + -5775.701. Let l = -0.299 + b. Let j = 4 - 6.2. What is the nearest to j in 2\/9, 1\/4, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -9\/5, -0.4, -3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 - 8*c + 3. Calculate u(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f + 2*f**2 + (3*f + 2*f - 4*f)*(f + f - f) + (-6 + 2*f + 6)*((2 + 2 - 3)*(6*f - 3*f - f) + 0*f - 2*f + f + 3*f - 3*f - 2*f - 5*f + 4*f + 0*f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450135586.8 rounded to the nearest 1000000?\nAnswer: 1450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 - 12*p. What is i(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -342988.36 and 46.04.\nAnswer: -342942.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403 - 3413323?\nAnswer: -3414231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/24 + 2*d**3\/3 - 9*d**2. Let l be r(0). Let t be 3\/9 - (-8)\/3. Sort l, -5, t.\nAnswer: -5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:25 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 242746098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*n + 18 = 0, 3*n - 62 = 3*i - 26 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 0. Let o(v) = 6*v + 0*v - 2*v - v**2 + c. Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99)*-3 - (6*-1*sqrt(99) + sqrt(99)))\/((sqrt(9) + (sqrt(9) - sqrt(54)\/(sqrt(294) + sqrt(6))) + sqrt(9))*6))**2.\nAnswer: 704\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 15, -c - 20 = -5*f + 4*c. Let t = 5 - f. Calculate the lowest common multiple of t and 0 + 14 + (0 - 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12456.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/51 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 1)*(4 - 4 - 1)*(-4*p + 4*p - p) to the form z*p + c and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scvecge. What is prob of sequence eg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -11. Let r(d) be the third derivative of 14*d**5\/15 - 6*d**2. Let m be r(1). Calculate the highest common factor of z and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12499 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 16) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25 and -31919.\nAnswer: 7979.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -685*o*s**2*y - 2*o*s*u*y - o*s*y**2 - 5*o*u + 8*s**2*u*y - 26*s**2*y**2 + 9153*s*u*y**2 - 3*s*u*y wrt s?\nAnswer: -1370*o*y + 16*u*y - 52*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 4*b**2 - 2*b**2 + (0 + 0 - 2*b)*(-4*b + 3*b - b) + 2 - b**2 - 2 + 0 - 2*b**2 + 0 + 5*b - 5*b - 7*b**2 + (-b + 0*b - 3*b)*(1 + 0 - 2 + b).\nAnswer: -13*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 35*m + 28*m - 1 - 160*m**2 to j*m**2 + g + r*m and give j.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167323\/56 + -2988. Calculate the common denominator of (-1)\/((-20)\/114) + 0 and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*w**2 - 3810*w + 3810*w)*(w**2 - w**2 + 2*w**2).\nAnswer: -290*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kledydb. What is prob of picking 1 k and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29035?\nAnswer: 5, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1202 - -629. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m - 7. Suppose -11 = -9*u + 16. Suppose 5*a + 3*r = 155, -4*a + 5*r + u = -3*a. Let v = 21 - a. Determine p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 533*p - 14. Let k(o) = -356*o + 9. Determine -8*k(a) - 5*m(a).\nAnswer: 183*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1670 - -1670. Let i(b) be the third derivative of v*b**4 + 0 + 18*b**2 - 1\/60*b**6 + 0*b**3 + 1\/10*b**5 + 0*b. Suppose i(n) = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - -1) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d)\/d**4*d\/d**(-3)*d\/d**(-1) assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 11. Give x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32805634, -65611267, -98416902, -131222539, -164028178?\nAnswer: -196833819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105b (base 14) in base 6?\nAnswer: -21025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83388171.\nAnswer: 3, 31, 896647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.7*-3292.6.\nAnswer: -22060.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 0.3, -0.1.\nAnswer: -62, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-39 - -45) + -3 + (1 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1502, 1501, 1500, 1499, 1498, 1497?\n\"Answer: -f + 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 131. Let k be 1\/5*-6*5. Let a(y) = 2*y**2 + 5*y + 7. What is the remainder when a(k) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*b + 14 = 0, -2*l - 2*l + 22 = -2*b. Suppose -10*w + 8*w = -l. Let c = 9 - 7. Solve -w = -x - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*b + 2*w, 0*b - 4*b + w + 13 = 0. Calculate the remainder when 58 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16937927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123454 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -317011113?\nAnswer: -63402222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-234)\/(-16) + 13\/(936\/27). Let g be (0 - d)\/(-3)*36\/225. Put -0.4, 0.2, g, 0.7 in increasing order.\nAnswer: -0.4, 0.2, 0.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3*u + 4. Let a be g(-4). Let l = -0.25 + 0.05. Let c = l - -0.3. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*p - 0*v + 70, -4*p + 5*v = -19. Solve b = -4*x + p, 19 = -x - 4*b + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Let x = v + 0. Let y be ((-4)\/12)\/(8\/6). Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:23 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2*5 + -3.\nAnswer: -3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 11*p**2\/2 - 5*p + 139. Factor q(c).\nAnswer: (c - 5)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 20672*k\/5 - 4134.\nAnswer: -2*(k - 10335)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -12 (c) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 193 = 3*i + r. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3 - 17\/(-6)). Suppose 0 = -w - u + 1. Are -5 and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/(((-10)\/5)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40490 + -25728. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxbbbb. What is prob of picking 3 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = -35. Let m(w) = -2*w - 14. Let f be m(-7). Suppose f = -p*k + 4*k + 18. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4 and 131\/1598124.\nAnswer: 1598124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1*4\/4. Suppose -4*h + 56 - 4 = c. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/4 - 8109*l\/4 - 6084 = 0.\nAnswer: -3, 8112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*d**3 + 3 + 2*d**2 + 18*d**3 - 5 + d.\nAnswer: -(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9463 - -39615. Let l = x - 16795. Suppose 5*a - l = -4*m, 2824 = -3*m - 3*a + 12844. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 2\/373, -1?\nAnswer: 2\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m + 1655 = 63 + 48 - 1186 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 31 = 79. What is the remainder when d is divided by (-2 - (-3 + 2)) + (11 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 108. What is c(-31)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-7\/6)*j*j**5*j**(-2)*j*j*j**(1\/6)*j assuming j is positive.\nAnswer: j**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(216\/(-405))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 25 = 0. Solve k*p - 8 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/v)\/v**(3\/2)*v**(-1\/6)*v*v**(-1\/7)*((v\/(v*v*v\/v**0*v))**8)**(-48) assuming v is positive.\nAnswer: v**(24007\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j. Suppose j = 4*h - 99 + 7. Let z = 29 - h. Let v(o) = -2*o + 2. Determine v(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 871206904 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 91, 197, 345?\n\"Answer: 21*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 216. Suppose -k = -2*x - 2*x. Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 - 17. Let y = g + -27. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158326451681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 41 = 4*m + 14*n, -3*n - 24 = -3*m. Suppose -32 = -q - 2. What is the remainder when q is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 + -4)*2\/(-34)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46495 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 1, e: 3, y: 3, r: 3, v: 4}. What is prob of picking 1 f, 2 v, and 1 r?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.16 - 44.12. What is o rounded to 0 decimal places?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4)*(1 + 1 + 0)*(-2*p + 15*p - p) in the form l + u*p and give u.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 smaller than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + b - b)*(3 + 2 - 6) + (5 - 4 - 3)*(0*b - 3*b - 6*b) in the form y + t*b and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -239674690 divided by -2786915?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 62 + 27 = 0. Suppose -3*l = -0*t + 2*t - 8, -h*t - 6 = l. Let m(d) = -d**3 - d**2. Let i be m(-1). Solve i = k - l*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26076 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -737.99998995 - -738. Round w to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.26 - 16.36. Which is the nearest to -0.1? (a) w (b) 33 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:34 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(76))\/sqrt(1296).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7.93 * -0.15\nAnswer: 1.1895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b. Let s be m(5). Suppose 3*o = -6 + s. Solve o*y - 9*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 4380*r**2 + 560580*r - 4767520.\nAnswer: 5*(r - 8)*(r + 166)*(r + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292502*-14.\nAnswer: -4095028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10536 - -563. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**6\/10 + m**4\/4 - 4*m. Solve n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from jkkkkkckxkcjkkjkkkrx?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-945)\/(-105)*(2\/(-3))\/1. Let u(m) = 104*m + 184. Let w be u(b). Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = 3*x, -q - 7*x + 11*x = -14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68107250 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 183147572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 16, 3, 2, -3 in ascending order.\nAnswer: -8, -3, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 q when three letters picked without replacement from {g: 2, j: 1, o: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -611 + 423. Let p be 316\/(-2)*(-3 + 1). Let g = p + d. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 = 5*d - 2*d, 0 = 5*x - d + 7. Suppose 3*i - 2*i = 0. Is x greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 980.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1030421434 (base 5) to base 7\nAnswer: -24466231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 14 = 8*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, -24\/7, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 191*y**2 + y + 41. Determine w(-2).\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 190427, -2, -3 in increasing order.\nAnswer: -3, -2, 190427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a minute in seconds?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) 0.05 (b) -3\/5 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 257, -0.1 in descending order.\nAnswer: 257, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 2, u: 2, z: 6}. What is prob of sequence zzoz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 448 = u, -5*m + 400 = 2*u - 494. Calculate the greatest common divisor of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 417594765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vkvvb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-60579)\/(-30))\/(-127).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277800 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = 0, 0 = -3*q - 446*g + 449*g + 12413997. What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-8 - (0 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 529 = -3*y, -32*j + 33*j = -2*y - 362. Let z = 186 + y. Solve -2*q - 8 = h - 2*h, -5*q = -z*h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*4*(5 + sqrt(968)*-1 + 2))**2.\nAnswer: -177408*sqrt(2) + 585792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 4*d - 3*d)*(1 + 0 - 2)*(-2 + 1 + 6).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 728 and 728 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/15)\/(-5*(-6)\/15))\/(1\/(-37)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*h + 3 = -272*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 78 = 53*c + 22. Put 458, c, 1 in decreasing order.\nAnswer: 458, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 60. Let r be (-2)\/(-10) + 46\/f. Let i(m) = -5*m - 24. Let u be i(-5). Which is the third smallest value? (a) 0.2 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/42)\/(107\/(-321))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433532312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r - 2. Let x be b(3). Let m = 163 + -99. Calculate the greatest common factor of x and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*v - 6732, 0 = 58*o - 56*o - v - 4493. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 79 + 79.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:40 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -20?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 7*h**3 + 26*h**3 - h**2)*(-11 - 12*h**2 + 11)*(4 - 3 - 3).\nAnswer: 600*h**5 - 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14313150 (base 6) to base 11.\nAnswer: -306630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*u**4 + 8*u**3 + 280 wrt u?\nAnswer: 80*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212267*z + 212267*z - 636496*z + 211962*z - 17*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1171.\nAnswer: 351.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*u - 3112 + 14359 + 7478 = 280*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -28*b + 2. What is the remainder when a(-4) is divided by ((-290)\/174)\/(5\/(-87))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2205*p**6 + 179596*p**3 + 3864*p**2 - 179596*p**3 - 2*p**5 + 863*p**2 wrt p?\nAnswer: -264600*p**3 - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 5, -0.33, -428?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 257*z - 6908. Give r(37).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - 22 - (-153 - -144)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4555420 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 6*p = 8022. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 1)*(-2979 - 1492 + 5504)*(4*x - 3*x**4 - 4*x) as s*x**4 + h*x**3 + q + j*x**2 + p*x and give s.\nAnswer: 12396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*s + 2*s + s)*(-4 + 1 - 2) - 6*s + 4*s + 3*s + 5*s + 0*s - 3*s + 29*s + 46*s + 10*s)*(4*s + 0*s - s) in the form t + i*s + u*s**2 and give u.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 2\/3, -2\/5, 0.2, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 108207728*f\/5 - 108207726\/5.\nAnswer: -2*(f + 1)*(f + 54103863)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 16. Let o = 5 + n. Suppose 0 = o*p - 3*p + 2*a - 6, a + 1 = -p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003392 to five decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (477\/(-583))\/((-39)\/143)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 360261 + -550429. Let w = -416168 - f. What is w rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*q = 240, -5*n + 106*q - 608 = 6*n + 108*q for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t + 11*t**3 - 3*t**3 + 1 - 5*t + t. Let u = 1 + 0. What are the prime factors of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 + 3*p**2 - 6. Let d(f) be the second derivative of -f**4\/4 - 3*f**3 - 2*f - 32. What is -2*d(r) - 7*l(r)?\nAnswer: -r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 10:18 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 722 and 8795165?\nAnswer: 8794443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**2 - 27*h**2 + 44*h**2 - 6*h**3.\nAnswer: -6*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*d**2 + 9*d**2 - 21*d**2 as o*d + v*d**2 + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 38880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28659 + 28658.9968741. What is t rounded to five dps?\nAnswer: -0.00313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/60 + z**4\/8 + z**3\/2 + 7*z**2 - 5*z. Let k(h) be the first derivative of u(h). Determine k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151711, 303415, 455119, 606823, 758527?\n\"Answer: 151704*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 92 = f + 164, 776 = -3*f - 4*o. Let k = f + 1303\/5. Factor 0*h + 9\/5*h**4 - 3\/5*h**5 - 9\/5*h**3 + k*h**2 + 0.\nAnswer: -3*h**2*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46442483993 and 0.068.\nAnswer: -46442483992.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -43*f - 358 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4221 - 13749 = -6*x. Does 72 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 40*p + 219. Give w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32720.8 rounded to the nearest 100?\nAnswer: -32700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 37*g - 3*g)*(0*g - 1 + 0*g + 2*g)*(-2 + 5 - 2).\nAnswer: -58*g**2 + 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-22)*(-32)\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 129874522 - 8*k**3 + k**2 + 4*k**2 - 129874522.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - 4) - (-1 + -8 + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 33149 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 227*m - 7951. What is v(35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 13*r**7\/14 + 5*r**3\/3 - r**2\/2 + 21*r. What is the second derivative of x(s) wrt s?\nAnswer: 780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from bpcqtqqbqpb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:21 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmggmngnjl. What is prob of picking 1 g, 1 j, 1 l, and 1 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 288947999 = -4*j, -5*j - 2*u + 3*u = -361184999. What is j rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69 + 2*t**2 + 346*t**4 - 44 + 76*t**4 - 27*t**4 + 92 wrt t.\nAnswer: 9480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14. Suppose 4*w = 3*y - 8*y + 5, -w + l = 2*y. Solve -5*p + 20 = -w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 172 + 1cbcc?\nAnswer: 1cd4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 + 3*b + 7. Let s be f(4). Let l = -3 + 5. Factor 2*o + o**s - 3*o**3 + 2*o**2 - 2*o**l.\nAnswer: -2*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93733983 to the nearest 10000.\nAnswer: 93730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 + -10 + 11)*(21 + -46)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 4, y: 8, l: 1, w: 1}. What is prob of picking 1 o and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 4*v + 12*v - 11*v**3.\nAnswer: -11*v**3 + 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(1\/(-8)). Let d(o) = o**3 - 2*o**2 - 5. Suppose -3*n - 101 - 379 = -4*n - 2*n. Calculate the remainder when n is divided by d(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38355834 and 57?\nAnswer: 728760846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2476477 is divided by 495292.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28179*m**5 + 2*m**3 - 23*m**2 + m + 119 wrt m?\nAnswer: 1690740*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 9*c**2 - 6*c + 26. Suppose 312 = -27*v - 12*v. What is i(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v - 184*v**4 + 184*v**4 + 13*v**5 + 7*v**5 wrt v.\nAnswer: 400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122166.\nAnswer: 2, 3, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/2 - 6. Let y(n) be the first derivative of -g*n**2 + 3 + n. Give y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1577, -1662, -1747, -1832?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 7*o**2 + 4*o + 3. Let l be g(4). Let n = l - 24. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 10*n - 15*n + 4*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 671 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - c = -16, 52*z + 14*c + 60 = 48*z + 260 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -41, -72, -119, -188, -285?\n\"Answer: -x**3 + x**2 - 17*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 + 740?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 + (-1)\/(-3). Suppose -o + 5*x + 28 = 0, -o - 4*o + 5*x + 60 = v. Let u be o\/(-28) + 0\/1. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192893 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39433 is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/3 + 79*x**3\/3 + 3265*x**2. Determine o(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x + 6. Let p be n(1). Let t(j) = j**2 - 13*j - 3. Let u be t(p). Let z be u\/(-348) + (-7)\/(-28). Put 3, z, 5\/4 in increasing order.\nAnswer: z, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -60. Suppose -4*p - 16 = -u*q, -2*q = -6*p + 3*p - 12. Let b be -6*(-62)\/30 + 1 + q. Which is smaller: 12 or b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k - 4*k + 1 - 5 - k**2 - 5*k**2. Let u = 5 - 1. Let d(a) = -13*a**2 - 9*a - 9. Let t(h) = u*d(h) - 9*v(h). Let i(z) = 2*z. Calculate i(t(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 160 (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-27)*(-1 - -4*1). Sort d, 2, -3, -7.\nAnswer: -7, -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -4, 7, -65, 0 in descending order.\nAnswer: 7, 1, 0, -2, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78*x**3 + 1843443*x**2 - 11058552*x + 16586775.\nAnswer: -3*(x - 3)**2*(26*x - 614325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2449 + -1268. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 100, -3\/2, -8, 2\/1385?\nAnswer: 2\/1385","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5131 - 2873 - 2508 = -292*i. Solve -22*p = i*p - 348 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*g**2*k + 204*f**2 + 289*f*g**2*k - 3*f*g**2 wrt k.\nAnswer: -2*f**2*g**2 + 289*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 96 + 24. What is the remainder when 56 is divided by (34\/q)\/(((-230)\/40)\/23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 13. Let p(m) = 2*m**2 - 7*m + 115. Calculate the remainder when p(0) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 3*a - 9. What is the units digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, n: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34746, 2, -5 in descending order.\nAnswer: 3, 2, -5, -34746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 3. Let f be 6\/(-21) + (-24)\/14. Let g = f - d. Solve -g*p + 0 = -2*c + 8, -8 = -2*c + 3*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 1. Let j = -418.5 + 418. Which is the closest to -2\/13? (a) p (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2713\/10 or -271?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 171, 40, 6, 2, -3 in increasing order.\nAnswer: -3, 2, 3, 6, 40, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 50915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9948157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:17 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4265600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d**2 - 8*d + 2. Let v = 11 - 8. Let j be m(v). Calculate the greatest common factor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 30*l - 74. Let t be s(12). Sort -1, t, -20, -3, 3 in ascending order.\nAnswer: -20, -3, t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by ((-3)\/(-6))\/((-6)\/(-180)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:12 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.73 and -0.29?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*15\/(-1 + -4). Suppose 2*l = l + 5. Suppose -l*h = -17 - n. Solve 2*z - h = -5*f - 2, 26 = 5*f - 4*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 6*l + 4. Let z(m) = 12 - 6*m + 2*m + 2*m. Let x be z(9). What is the units digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31746152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 26. Solve 0 = 3*d + 5*g - g - 22, n*d - 26 = -4*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5810 and 67\/34.\nAnswer: 98770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 49616.\nAnswer: 49616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26, -28, -9, 10, -1 in decreasing order.\nAnswer: 26, 10, 5, -1, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (122 - 122) + 0 + (9 + 1 - -1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.11 - -4.72. What is m rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -4. Let m(x) = 2*x - 4. Let p be m(s). Does 26 divide 40 + 1\/((-2)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81256.\nAnswer: 2, 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 22*m + 15. What is the remainder when 29 is divided by i(22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 10*j**2 - 4*j**2 - 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 29*b**3 - 5*b + 47. Let z(k) = 14*k**3 - 2*k + 24. Let v = 26 - 21. Let d(y) = v*z(y) - 2*j(y). Differentiate d(i) with respect to i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 3. Let s(q) be the second derivative of -q**4\/12 + q**2\/2 + 2888*q. Let a be 9\/6*-2*1. Determine a*o(h) + 8*s(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/307, -2\/9, -1, -1\/4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -721.8 - -694. Let g = 22.8 + u. Sort -2, -2\/3, g, -1.\nAnswer: g, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 1. Determine k(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 577 = d - 580, -2*p = 3*d - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 7666872 and -0.5.\nAnswer: 7666871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7124, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/7 and -71\/17108115?\nAnswer: 119756805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + (sqrt(34)\/(sqrt(12)\/sqrt(24)) - (sqrt(136)\/sqrt(4))\/sqrt(2)*-2))**2*-3.\nAnswer: -840 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16683775?\nAnswer: 5, 667351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 23*b**2 - 8*b - 23. Let l be i(-23). Suppose l*f - 160*f = 39. Calculate the remainder when f is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:47 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 514467607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -645, -2.\nAnswer: -645, -15, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(20 + (-17784)\/900).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**6\/12 + d**5\/60 - 5*d**4\/24 - d**3\/2 + 2*d**2 + 6. Let c(u) be the second derivative of j(u). Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 4. What is the units digit of (3\/f)\/(9\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4368 + -4369. Let t = -10 + 14. Let i = 6 + -3. Put q, i, t in descending order.\nAnswer: t, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:25 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 + z - 18 + 1340*z**2 - 123 to g + q*z + b*z**2 and give b.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -452 by 173.\nAnswer: -452\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from {s: 1, t: 1, f: 7, d: 4, g: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-167 + 166)\/(-1 + -3*8\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188\/(-2772)*32\/(-24)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 11. Let q(z) = 1367*z + 44. Give 4*j(s) - q(s).\nAnswer: -1363*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1133?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(64\/4 + -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 534099448*c**2*i**3 - 319672233*i**3 wrt c?\nAnswer: 1068198896*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -839, -1186, -1493, -1766, -2011?\nAnswer: -2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p - 4160 = 182*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/(-1)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 + 4*r + 5. Let w = 78 + -13. What is the remainder when w is divided by k(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a74a3 + 687?\nAnswer: -2a6b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61\/5 - -13. Let l be -1*(800\/72 - 11). Which is the closest to -1? (a) l (b) -7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**15\/(l*l\/((l*l\/l**(12\/11))\/l)*l*l))**(7\/6) assuming l is positive.\nAnswer: l**(140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -6 - (-1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34814, 69543, 104188, 138743, 173202, 207559, 241808?\nAnswer: 275943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + 1 + sqrt(112) + 5 + sqrt(7) + sqrt(112)*2)**2 + -3 + -3.\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.645093758 + -0.6451. What is z rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-207328)\/6417 + 4\/46.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -34*y**2 - 17*y - 24*y**3 - 32*y**2 + 90*y**2 - 37*y**2 - 14 + 23*y**3. Determine f(-11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4393 + -5.4393. What is the fourth smallest value in -2\/3, t, -3, 0.3, 7\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:36 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*p**2 - p**3 + 3*p**3 - 125*p**2 - 3 + 16*p**4 to a*p**3 + j + c*p**4 + l*p + x*p**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y + h - 10, -5*h - 19 = -3*y. Which is the closest to -2? (a) -3 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8364634.\nAnswer: 2, 4182317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1741 = -2846*x - 44431 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 4*g - 23 = -22*y, 5*g = 4*y - 13 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - 52 - 2*w**2 + 18*w to m + r*w**2 + i*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:11 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**3 - 4*j**2 - 6. Let b = 17 - 22. Let v(k) = -10*k**3 - 5*k**2 - 7. Let r(y) = b*v(y) + 6*u(y). What is r(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 - 145.5. Put -2, 4, t in decreasing order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Suppose -330 = -s*j - 5*j. Suppose 4*n + 30 = 3*x, 0 = 3*x - 5*n + 10*n - 30. Calculate the lowest common multiple of x and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (sqrt(539) + 0 + 4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7*b*b\/(b*b*b*b*b\/(b**(-9\/4)\/b)))**(23\/2) assuming b is positive.\nAnswer: b**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -1320, -2241, -3162, -4083?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*o - 3*o + 2 - 359*o - 1 to the form k + v*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 6. Let w = i + 4. Let j be 3\/w*(-8)\/3. Solve 0 = j*c + 8 - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275311?\nAnswer: 3, 29, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*s**3 - 2*q**3*s**2 + 31417251*q**2*s**3 - 15778*q*s**2 - 4*s**2 - 2 wrt s?\nAnswer: -12*q**3 + 188503506*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1584035, -3168069, -4752103, -6336137?\n\"Answer: -1584034*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + (32 - 34) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 + 51*u - u**2 - 5*u**2 + u**3 + 32*u - 99*u - 27. Let b = 12 + 2. What are the prime factors of j(b)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlztsll. What is prob of sequence zn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12572b (base 14) in base 16?\nAnswer: -99c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 2*c**2 + 5*c - 5. Let n(r) = r**3 - r**2 + 3*r - 3. Determine 6*b(i) - 10*n(i).\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c = 71 - 211 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 1, y: 2, i: 1, u: 3}. Give prob of sequence ip.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -12. Let v = x - -5. What is the nearest to 0 in 5, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**13*f*f**(-5)*f)**(6\/37))**(-10\/11) assuming f is positive.\nAnswer: f**(840\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 234054 (base 6) in base 13?\nAnswer: 9346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(2*n - 5*n - 9*n).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 96 + 28 = 0. Let a = -31 + s. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 19*q - 19*q - 4)*(0*q - 4*q + 2*q).\nAnswer: -4*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20695 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224.966187 + 223.92618733. Let k = -1.04 - l. What is k rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -18*p + 434. Calculate m(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(4\/(-3)))\/(((-12305)\/1498)\/(-115))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 11. Suppose g = -2*i - 5*j, -8 = j + 3*j. Let x be 2*3\/48 - (i - -1). Which is the third biggest value? (a) 4 (b) x (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (-2944)\/(-3 - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5485 * 36691\nAnswer: 201250135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.525281 - -1.526. What is q rounded to five decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 - 18 = 0. Suppose -4*r - 3*w + 222 = -w, -r + n*w = -83. Let y = r - 32. Calculate the remainder when 100 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409556571 to the power of 1\/2, to the nearest integer?\nAnswer: 20238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*r**4 - 30*r**3 - 35*r**2 + 30*r.\nAnswer: 5*r*(r - 1)*(r + 1)*(7*r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*p - 33. Let c = p + 4. Let h be 3 + (-5)\/(c\/4). Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 13*f**2 + 5*f + 30. What is the units digit of u(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3191 + 4*c - 3191.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 118251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11541*f - 14183*f + 28669*f. Let s(t) = -2*t**2. What is k(s(p))?\nAnswer: -5890*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 29*y**2 + 30*y + 30. Let r be f(-30). Find the third derivative of -13*k**3 + 29*k**2 + r*k**2 - 15*k**2 + 41*k**3 wrt k.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*4 + -7. Let o(t) be the second derivative of -t**5\/120 - 5*t**4\/24 + t**3 + 5*t. Let k(j) be the second derivative of o(j). Calculate k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*w - 247*w + 140 = 0. What is the remainder when 287 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 111*w + 490. Determine b(-48).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3\/13 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44370 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 119 + 556 = 0. Suppose f + 2*i - 2 = -2*f, i + 17 = 3*f. Suppose -f*m + 97 = -3*m. What is the remainder when m is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29376 less than 5.1996624?\nAnswer: -29370.8003376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -85*k**3 + 5*k**2 + 5*k + 4. Let n be p(-3). Let b = n + -1566. Suppose 0 = 9*u - b - 695. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*-6*3)\/(((sqrt(847) - (sqrt(847) - ((sqrt(847) - -1*sqrt(847)) + sqrt(847))))*6 - sqrt(847)) + sqrt(847)).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1573602915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 4455.\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11817 is divided by 11803.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -67882 (base 10) to base 5\nAnswer: -4133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 75 = 4*n, n + 13 + 7 = r. Let p(u) = -3*u - 74. Let h be p(n). Solve -4*j + 13 + 9 = 2*v, -4*v - h = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_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: Calculate -1951520 divided by 975760.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-12)\/(-48)). Suppose 0*r = -4*r + 8. Let t(u) = 305*u**r - 4 + k*u + 6*u - 304*u**2. Give t(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 13 = 6*u - 3*a, 23 = 2*u + 5*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*a + 9 = 0, -4*t - 6 = t + 2*a. Let i(q) = -4 - 13*q**3 + q - 13*q**3 + 25*q**3. Calculate i(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49678.8 milliseconds to minutes.\nAnswer: 0.82798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 13*i**3 - 9*i**2 + 12*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5453 + -60111?\nAnswer: -65564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/120)\/((-3)\/(-2*6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 - -5.93. Let s = -8 + c. Let i = 0.4906 + -0.5906. What is the third biggest value in s, -1, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 837, 0.04, -2\/3, -5, 0.105?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.4 + -26.6. Let v = 17.6 + p. Which is the closest to -1? (a) -1\/2 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273642 = 55343*b - 55363*b - 75442. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/380 and -47\/56.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(14)\/sqrt(112) + -4)**2)*5.\nAnswer: -10*sqrt(2) + 485\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -638 * 64915\nAnswer: -41415770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3720*n**2 - 2*n - 3. Suppose -6 + 14 = -8*i. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 3*h)*(5*h + 6*h - 4*h).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1 + 3*k**2 - 4*k**2 + 0 + 4*k. Give c(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51 + 0.386. Let v = -0.277 + 0.484. Let y = v + o. What is y rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/5 - 72338*x**3\/5 - 328437122*x**2\/5 - 12536429878*x\/5 + 6350333262\/5 = 0 for x.\nAnswer: -9023, -39, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 2, w: 5}. What is prob of picking 1 w and 1 m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 11 - 5. Suppose 0 = -2*g - o*l + 1 + 30, 5*g = 4*l + 43. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:39 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x - 15. Let w be v(4). Let h = -70 - w. Calculate the remainder when h is divided by 180\/22 + (-2)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 15*f + 6. Let j be l(4). Is -1294*(3 - (-21)\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096929 is divided by 698352?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 48, 79, 104, 117, 112, 83?\n\"Answer: -o**3 + 6*o**2 + 20*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 5*r**3 - r + 10 - 3 + 5*r**2. Let l be j(5). Factor k - 1 + 4*k**l - k**3 - 1 - 2*k**2.\nAnswer: -(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49419800 to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -22, -165, 5, 3.\nAnswer: -165, -22, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -445529\/258 + -2493\/43. Let j = n + 1776. Calculate the common denominator of j and 121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/13 - 6*(-1)\/(-39). Let n be t\/6 - (-4 + 3\/(-2)). Let f(h) = h + 3*h - n*h + 0*h. Let p(j) = 10*j**2. What is p(f(m))?\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.9732 - 2.1732. Let m(p) be the third derivative of p**5\/60 - p**4\/6 - p**3 + p**2. Let g be m(5). Is l less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 510.6 and 0.7?\nAnswer: 357.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**4 + 122*i**3 - 666*i**2.\nAnswer: -48*i + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 266\/(-399)*27\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v\/(v\/v**(-32)))\/((v**(5\/7)*v)\/v**(20\/3)) assuming v is positive.\nAnswer: v**(-1199\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158202, -158448, -159124, -160446, -162630, -165892?\n\"Answer: -36*d**3 + d**2 + 3*d - 158170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 961950 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from lllvllv?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 76. Suppose -4*x + p*g = -31 - 102, -4*x + 151 = g. What is the first derivative of 49*y - 7 - x*y - 29*y wrt y?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 3, i: 1, e: 2, u: 3, o: 1}. What is prob of picking 1 e, 1 i, and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 6 + 0*g + 6*g**2 + 1\/8*g**4 - 1\/2*g**3. Let x(h) be the second derivative of j(h). Differentiate x(q) with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 1 - -6*(-828)\/(-24) is divided by (35 + -1 - 0) + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + -283. Suppose -4*i + w = -13, 0 = -3*i + w - 4 + 14. Is (14\/(-4) + i)*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020154 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655 divided by 15677.\nAnswer: 1655\/15677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 536551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 v when four letters picked without replacement from ppypvvpvvpppv.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -37 - -7 - (3 + -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g = -41*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233\/26 + 110\/13. Suppose -4*m + 0*m + 4 = 0. Let h be ((-8)\/4 - 13\/(-7))\/m. Which is the closest to v? (a) 0.3 (b) -7\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10534 and 141064?\nAnswer: 3244472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29 - (-5050)\/90 - 27)\/(2*1\/12). Factor 26\/3*t + s*t**3 + 32\/3*t**2 - 20.\nAnswer: 2*(t - 1)*(t + 2)*(t + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:11 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose 0 = 4*t + 4*a - 4, -4*t = 3*a - q + 1. Let y = -5\/2 + 9\/4. Is y less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1072355, -1072356, -1072357, -1072358, -1072359, -1072360?\n\"Answer: -j - 1072354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 - (-6 + ((-235543)\/(-114))\/77)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 66, 94, 128, 168?\n\"Answer: 3*k**2 + 13*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f + 20, -3*f = 5*r - 20. Let w = -3 + r. Solve -5*d + 3*o - 8 = 0, 5*o + 36 = -w*d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:47 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4955\/21 - -647\/3. Let p = 689\/35 + o. Is p at most -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 286*c - 270*c + 144 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15393710 and 12314968?\nAnswer: 61574840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2585 - 61 = 2*u + 4*m, 5*u + 4*m - 6340 = 0. Let f = u - 757. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o*o\/(o*o**(-16)))\/o)*o\/(o\/(o*o*o**(-1\/8))))\/(((o*o**(-4\/11))\/o)\/(o**(20\/9)\/o)))**(-28) assuming o is positive.\nAnswer: o**(69517\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -36*f**3 - f**2 + 2*f. Let n be j(1). Let y = n - -60. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 567*y + 154226. Calculate n(-272).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73057.01 kilometers?\nAnswer: 73057010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 791, 1828, 3335, 5342, 7879?\nAnswer: 10976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:19 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 h when four letters picked without replacement from hjjjhjjjhjhhh?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 less than -27.58849?\nAnswer: -147.58849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 179984077 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 15. Let j(d) be the first derivative of -d**2 - 20*d - 247. Let w(y) = 3*j(y) - 4*q(y). Let a(s) = 16*s**2. What is a(w(b))?\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -98, -230, -424, -686, -1022, -1438, -1940?\n\"Answer: -y**3 - 22*y**2 - 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r. Let d be (-420)\/(-120)*30\/21. Let o(s) = -22*s. Determine d*o(l) - 20*h(l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, 1\/6, -0.1, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13ba868 (base 12) to base 14\nAnswer: 758168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682190.\nAnswer: 2, 5, 7, 38317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 407119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*u = 7*u + 4796 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -109*m**3 + 2*m**2 + 2*m + 1. Let f be a(-1). Let s = f + -52. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8 = -b - 9*n, -b + 16 = -3*n. Solve -b*g - 32*g = 144 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8179008 divided by 192?\nAnswer: -42599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 + 8*q + 3. Let x be p(-7). Let y be (-25)\/(-2)*64\/(-40). Let w = y - x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (18 - (14 - 55)) + -22.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*s + h - 5996, 5*h - 3022 = s. Let k be (-2)\/(-6)*(0 - -9). Let i be (-24)\/(-36) + s\/k. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 187512003.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (6 - 15)) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10368 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -4.09. Let n = 3557\/56 - 442\/7. What is the closest to i in 3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 less than 333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 179.4335 millilitres?\nAnswer: 0.1794335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(405) + 3 + sqrt(405) + -2 + (1*(4 + 3 + sqrt(405))*1)**2.\nAnswer: 144*sqrt(5) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-5))\/(39\/(-130)))\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/4 (b) -1\/57 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/3))**(-4\/13)*a**(-8)*a*(a**(-5)*a)\/a*((a**8\/a)\/(a\/a**(4\/7)*a))\/(a*a**(-4\/3)*a**(-2\/3)\/a) assuming a is positive.\nAnswer: a**(-1237\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-24)*8\/(-42).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 42. Let v(c) = 25*c**2 - 164 + 7 - 14. Let u(p) = -9*n(p) - 2*v(p). Factor u(i).\nAnswer: 4*(i - 3)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12667.116 months to millennia.\nAnswer: 1.055593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from lqqlllqqlqqll.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 89 - -36) + (8 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13123?\nAnswer: 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -74 + 38 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 2, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40538 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/8 in 20\/9, 2\/17, -435.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-2\/45)))\/b)\/(b*b**10) assuming b is positive.\nAnswer: b**(-493\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4819 to two decimal places.\nAnswer: 8.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1972718439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 1 - 1 - 161*s**3 - 325*s**3 - 3*s + 9*s**2 + 4.\nAnswer: -486*s**3 + 19*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from gqqqquu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360627 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 - 507777*u**4\/2 - 1015555*u**3\/4.\nAnswer: u**3*(u - 1015555)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2646, 3900, 5154?\n\"Answer: 1254*n + 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 879 + 2081. What is the tens digit of (2\/(-4))\/(5\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 4*f, 5*z = -5*f + 6*f + 5. Let d = 7156\/11 + -650. Is z greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = 24215 - 106827. What is the remainder when z is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 7*f - 6. Let v be a(7). Let o be (2 - -2) + v + 4. Calculate the highest common factor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1147 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121101120001 - -1012?\nAnswer: -2121101111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/10 (c) 3 (d) 1\/151713 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.2, -0.6, 205, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12) + 44\/(-3). Let v(o) = o + 19. Let d be v(u). Which is the closest to 1? (a) d (b) -2\/15 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 170 + -13826?\nAnswer: -13646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*y - 5, -4*y - j = 5 - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t - 5. Let b be -1 - t - 2*-1. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 - 20*b**2 - 8*b + 46. What is m(6)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*c**4 + 7*c**3 + 5*c - 7*c**3 - 3*c - 3*c**2 as t*c**3 + q + m*c + k*c**2 + x*c**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105525452 (base 6) in base 5?\nAnswer: 1000034444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 0*o**2 - 4*o**2 - 42143 - 29673.\nAnswer: -o**2 - 71816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 9. Let z be d(7). Suppose -z*w + 1 = 2*r - w, -4*w = 3*r + 6. Suppose -3*t + 43 = 5*i, -t + 37 = r*t + 2*i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.2, 14\/9, -0.04, -12\/31, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = -0*i. Suppose c - d = -6*d + 13, 0 = i*c + 4*d - 14. Suppose 8 = c*j - 82. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6526376\/111 < -58796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/13, 3\/37, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -8, 2, -1.7, 11.4, 1\/10, 0.4, -5\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:06 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.6576 centuries to months.\nAnswer: 100389.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*m - 62*m - 35 = 64*m + 62*m + 5*i + 9, -12*m + 152 = 4*i for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 2*r + 13. Let h be g(7). Let v = -47 + h. Calculate the lowest common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1155 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -16 + 1 + 0 + -4 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z + 7. Let r be q(-6). Let w = -15 + 21. Suppose w = -2*v - v. Sort v, -4, r in ascending order.\nAnswer: -4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 6*c - 68. Calculate x(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5)\/a*a)\/(a**(-5\/9)\/a) assuming a is positive.\nAnswer: a**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 32*r**2 - 3*r - 1. Let l be s(-1). Suppose 3*a = 5*k - l, 12 = 4*k - 2*k - 2*a. Calculate the remainder when 9 is divided by 42\/28*k\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 2.2. Let y = -547.002 + 549. Let c = y - b. What is c rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjljljjjjjogxjjjjjol. Give prob of picking 2 j and 1 g.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - n + 2 = -3, 0 = 4*h - 4*n - 20. Suppose -3*z + 36 = -18. Factor 8\/9 + z*i**h + 8*i.\nAnswer: 2*(9*i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*p + 5 = 2*p, -35 = -5*v - 2*p. Let h be (v - 6)\/(2\/(-34)). Suppose 2*y = 13 + h. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o**2 - 7*o + 261. What are the prime factors of q(14)?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 152, 315, 532, 797, 1104, 1447, 1820?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.4 and -0.0465?\nAnswer: 2.3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2)*-1*(-6)\/(-36).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 91 = -k, 253 = 5*k - 5*x - 202. Calculate the remainder when k is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2 + 43*g + 8. Let j(q) = 3*q**2 - 12*q - 2. Let r(d) = -7*j(d) - 2*u(d). Let p(x) = x + 2. Calculate -3*p(v) - 2*r(v).\nAnswer: 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 5 + (-6)\/(300\/230). Let r = 6\/193 - -929\/1158. Put r, -3, 1, q in descending order.\nAnswer: 1, r, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 5*i**2 - 5*i + 5. Let s(w) be the third derivative of -w**6\/120 - w**5\/15 + w**4\/6 - 2*w**3\/3 - 1357*w**2. What is 5*s(m) + 4*y(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 17834?\nAnswer: -27\/17834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 - 10*h**4 + 4*h**3 + 0*h**4 + h**4 + 0*h**4 + (2*h - 2*h + 2*h)*(-4*h**3 - 11*h**2 + 11*h**2).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221.99812 + -222. What is v rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 - i**3 + 3*i**2 - 7*i + 11. Let l be f(4). Let q = 71 - l. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4899d4 (base 14) in base 7?\nAnswer: 30060454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 355 = -0*p. Suppose -4*w + p = 5*y, -y - 2*y = 4*w - 49. What is the remainder when (75 - 32 - 18)*(-12)\/(-10) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 12295542*k**4 - 29*k**2 - 149010*k.\nAnswer: 120*k**3 - 295093008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33931530 and 16965765?\nAnswer: 33931530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/65 + -6\/13. Sort a, 5, 3 in ascending order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*k + 53720 = -2215*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146 - 200) + 14 + -2 + 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 44\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 + 2769*x**4 + 401934*x**3 - 5637060*x**2 + 9644184*x = 0.\nAnswer: -738, -198, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/290252 and 139\/187008.\nAnswer: 27864192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*j = 999*j - 4*o + 3, -15 = 5*j - 4*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8715047 (base 9) to base 11\nAnswer: -270353a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*l*s**2 + 4*a*l*s + a*l - 9*a*s**2 + 2*a*s + 6*a - 7*l*s**2 - l*s - 362*s**2 + 2*s - 133 wrt s.\nAnswer: 2*a*l - 18*a - 14*l - 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740907 and 24786.\nAnswer: 75572514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/2 + 169*o**4 + 25931*o**3\/2 + 83621*o**2 + 70824*o = 0.\nAnswer: -227, -104, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96 - 94)\/(2\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*a + 6 = 0, s + 2*a - 18 = 5*s. Let q be (-2)\/1*(-10 + 3). Suppose 18 = q*u - 8*u. Put u, -4, 4, s in descending order.\nAnswer: 4, u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 2*l - 29458*l**4 + 4*l**3 - 15*l**2 + 0*l**3 + 29459*l**4 as q*l + p*l**2 + v*l**3 + f*l**4 + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 69*a + 600. Calculate j(55).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22098, 43332, 64570, 85812?\nAnswer: 107058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**2\/19 - 14026*c\/19 - 5612\/19 = 0. Calculate c.\nAnswer: -2\/5, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 4\/3, 0.5, -1, 1.5, -555?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.9144 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**22*g*g)**21)**(13\/4) assuming g is positive.\nAnswer: g**(-4641\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120876 is divided by 17226?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:44 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**2*t + 11*r**2 + 2*r*t**2 - 351*t**2 wrt r.\nAnswer: 12*r*t + 22*r + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-258)\/1350)\/(8\/(-20)) - 0 and 52\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**3 - 4*l**2 - 7*l + 23. Let i(u) = -13*u**3 - 9*u**2 - 17*u + 45. Calculate -4*i(w) + 9*j(w).\nAnswer: -2*w**3 + 5*w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (0 + -2)) + 232\/(-48). Let g = 0.044 + 1.076. Let v = 0.22 - g. Put y, -4, v in descending order.\nAnswer: y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 249.86 (b) 5 (c) -6 (d) 2 (e) -2\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) -0.3 (c) 1 (d) 73 (e) -1317 (f) 1\/2 (g) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 - (7 + -6). Let z(m) = -m**2 + m - 3. Let l be z(4). Let r be i\/(-20)*l\/(-6). Which is the biggest value? (a) -0.3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.3 (c) -6090\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1102, 1, 3, -3, 0, -2, -1 in decreasing order.\nAnswer: 3, 1, 0, -1, -2, -3, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21)\/42)\/(6\/(-117900))?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 0*g**4 + 2*g**4)*(6 - 6 - 2*g - 2*g + g + 3*g + (4 - 4 - 2)*(-3*g - g + 2*g)).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 divided by 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 723755.\nAnswer: -4\/144751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1190.9.\nAnswer: -1190.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5 + 1029222*m**4 + m**2 + 638*m - 812?\nAnswer: -180*m**2 + 24701328*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2010733335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2254855 (base 14) to base 15\nAnswer: -167b499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -850998*p*x**3 + 809999*p wrt x?\nAnswer: -2552994*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 210.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -64\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153794 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2387955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 1. Let u = -12 + x. Suppose 2*t + 4 + 1 = -u*h, -4*h = 3*t + 6. Solve v - t*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence accc when four letters picked without replacement from aacccccaacaccaccaaca?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 235*c**2 + 4*c - 4. Suppose 4*y - 6*y + 2*m = -2, -y - 4*m = 19. Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120\/(-1305)*((-111)\/(-108) + -1). Which is smaller: g or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 1. Let j = -7.5 + 7. Let u = x + j. Which is the closest to -1\/4? (a) 1 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 - 41*x + 40*x)*(10 - 10 - 3*x)*(2*x - 2 + 2)*(-1 + 3 + 0).\nAnswer: 12*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136296027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 926.01 + -918. Let h = -8 + w. Let u = 0.0032 - h. Round u to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112, 115, 116, 115, 112, 107, 100?\n\"Answer: -j**2 + 6*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -615 < -799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k - 240 = 100. Let a be ((-12)\/(-90))\/(k\/(-25)). Factor -4\/3 - a*s**2 - 4\/3*s.\nAnswer: -(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2062 - 1817. What is the highest common factor of d and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0414 - 200.9586. Put 2\/7, i, 0.3, 1 in ascending order.\nAnswer: i, 2\/7, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13306369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20981, 10585, -6741, -30997, -62183, -100299, -145345?\nAnswer: -197321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 260. Let v(h) = -o*h + 56*h - 17*h - 11*h. Let q(r) = r + 1. Let j(m) = 2*m**2 + 2*m + 2. Let x(t) = -2*j(t) + 4*q(t). Determine v(x(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:22 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -17. Let k(q) = q - 9. Let y be k(n). Is 1 + (y*1 - -192) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1979475 and 16175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3905 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*f*l**4 + 52*f*l**3 - 150*f*l**2*z + 2*f*l**2 - 2*f*z + 2*l**4*z + l**2*z - 10*z wrt l?\nAnswer: -1824*f*l + 312*f + 48*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0184 and -15436578.\nAnswer: -15436578.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -13*n**2\/2 + n + 6. Give x(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = t + 12, -4*t - 3 + 0 = -3*h. Suppose 6*r = t*r + 18. Suppose -r*q = -3*q - 51. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d*i**2 + 189780*d*i + 3*i**2 - 84318*i wrt d.\nAnswer: -5*i**2 + 189780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 22 = -5*w - q, 2*q + 18 = 5*w. Let f(m) = 481*m - 4. Let c be f(w). What is c rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40230 (base 5) to base 7.\nAnswer: -10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/13 + -66\/65. What is the closest to d in 2\/11, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 20. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 - 6*u - 6. Let n(s) = s**3 + 10*s**2 - 5*s - 5. Suppose -32*z + 117 = -43. Calculate z*q(h) - 6*n(h).\nAnswer: -h**3 - 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1001628*p**2. Let v(k) = k + 205. What is v(q(i))?\nAnswer: 1001628*i**2 + 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/273 and (29*6\/(-32))\/(611\/188).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 15, z + 2*r - 1153 = -0*r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -3)*(-1)\/1. Suppose 2*u - n*z = -7*z + 2382, 0 = -u - 5*z + 1183. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (400 - 398)\/(12\/(-93))\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (491 - 154 + n**2 + 282)*(-2 + 6 - 3).\nAnswer: n**2 + 619","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 + 5*c + 5. Let s be y(-2). Suppose s*q - 344 = -q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683043 - -0.1?\nAnswer: 3683043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -1 in increasing order.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*(-5)\/((-35)\/12). Let w = y + 28. Let l(z) = -z + 4. Calculate the remainder when l(-8) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2 + 1. Let i(l) be the third derivative of -7*l**5\/10 - 156*l**2 + 3*l. What is i(d(n))?\nAnswer: -5082*n**4 - 924*n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -766 + 769. Let g = -2 + 3. Which is the smallest value? (a) -5 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4010281*-1\nAnswer: 4010281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1667*b - 1667*b + b**2. Let g be (-1)\/(1 + 1 + -1). What is c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/2 (b) -6 (c) 2.2 (d) -3 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3409 and 3569710.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30407 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*k - 92, 2*c + 48 = 3*k + 5*c. What is the least common multiple of (-2)\/(-1)*(1 - -13) and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m + 35 + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-31)\/q))\/(q\/(q\/q**(-2\/13))))\/(((q\/(q\/q**(-2\/5)))\/q*q)\/((q\/q**(-6))\/q*q)) assuming q is positive.\nAnswer: q**(2636\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2489588 + 518002.\nAnswer: 3007590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -202. Sort o, 1\/7, 1\/4, -1\/11 in ascending order.\nAnswer: o, -1\/11, 1\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15853476 - -12337\nAnswer: -15841139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - 2*n. What is the remainder when a(-2) is divided by -1 + (-6 - -4 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c + 6. Let n(r) be the third derivative of -r**4\/12 + r**3\/3 + 24*r**2. Let p be n(c). Solve f = -0*f + 4*b + 7, -b = -p*f + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r. Let t(k) = -32*k - 53. Give t(s(w)).\nAnswer: -224*w - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((((j\/((j*j**2\/j*j)\/j))\/j)\/j)\/j)\/j)*j*j*j**(1\/3)*(j**(-2\/9))**(2\/15) assuming j is positive.\nAnswer: j**(1121\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8453057*j. Let t(c) = 17*c. Give t(l(q)).\nAnswer: 143701969*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:38 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 128, 159, 196, 239, 288?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -609a + 2?\nAnswer: -6098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 4 - 4)*(1 + l**2 - 1) + l**2 - l**4 - l**2 - l**3 - 2*l**4 + l**3 - l**4 - 2*l**4 + l**4 + (2 - 3 + 3)*(-5*l**4 + 5*l**4 - 4*l**4).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + h**2 - 2 + 0*h**2 - h. Let s(y) be the second derivative of -y**2 + 1\/12*y**4 + 0 - 7\/6*y**3 + 8*y. What is 5*c(w) - 4*s(w)?\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 700.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(46 - 2*r**4 - 12*r**3 + 11*r**3 - 19) to the form t + v*r**3 + f*r**4 + i*r + m*r**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5568 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 3*t**3 + 6*t**3 - 36 to the form o + w*t**2 + q*t**3 + p*t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20020 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.31 + -0.31. Let k = l + -18. Which is the third smallest value? (a) k (b) -0.04 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 0.0407, 2\/3, 1?\nAnswer: 0.0407","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*q**3*t + 17*q + 3*t wrt q?\nAnswer: 486*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21021 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose o*y + 9 = -y. What are the prime factors of (2 + y)\/((-2)\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**2\/h)*h*h**(1\/5)\/h*(h\/h**0)\/h*((h*h**(-5)*h*h)\/h)\/h assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s**2 + 6*s. Let a(d) = -259*d**2 + 91*d - 4. Let v(n) = -2331*n**2 + 826*n - 35. Let f(i) = 35*a(i) - 4*v(i). Determine -6*f(y) - 119*p(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-37)\/w)**(-14) assuming w is positive.\nAnswer: w**532","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -17. Put 5, d, -3 in decreasing order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 406.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111010010110 (base 2) in base 14?\nAnswer: -5ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is e09e (base 15) in base 11?\nAnswer: 32680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 60062?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((11 + -17)\/6 - 0). Let l(m) be the second derivative of 15*m - 1\/6*m**3 + 0 - 1\/6*m**4 + 0*m**x - 1\/20*m**5. Find v, given that l(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474 - 399. Is 25 a factor of b\/(-5) - (-32)\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 7, 0.0694?\nAnswer: 0.0694","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -2.6. Let w = -1.6 - x. Sort w, -2, 2\/9 in decreasing order.\nAnswer: w, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02366 - 0.02368319. Round t to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 3738.\nAnswer: 63546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3) + (-8 - 33\/(-10))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 92*o - 17111. Give p(186).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {n: 5, j: 5, x: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*l**2 + 5 - 20 - l**3 - 43*l**2 to m + y*l + i*l**3 + n*l**2 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b - 180. Let h be y(0). Let c = h + 3422\/19. What is the closest to -0.1 in c, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(57)\/sqrt(3))**2.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l\/l**(-2\/7))\/l)\/(l\/(l\/(l\/l**(1\/4)))))**(-2\/7) assuming l is positive.\nAnswer: l**(-43\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1172*j + 141168. Calculate m(121).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143, 237, 231, 77, -273, -867, -1753, -2979?\n\"Answer: -8*a**3 - 2*a**2 + 156*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 17\/20. Let m = -2.951 - 0.049. Which is the third biggest value? (a) m (b) x (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/33 + ((-6)\/(-9))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16775712?\nAnswer: 2, 3, 31, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -7*s**4\/24 + 5*s**3\/3 - 20*s**2. Let d be j(-4). Calculate the highest common factor of d and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*n + 7 = -3*l, 0 = 2*n - 6. Suppose -3*v + 71 = 5*i - 6*v, -2*i + l = 2*v. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 118*b**3 + 5*b - 5. Let c(q) = -119*q**3 - 4*q + 4. Calculate -5*c(j) - 4*u(j).\nAnswer: 123*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and 148\/(-48) - 1*-2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-23)\/92). Which is the closest to -34? (a) w (b) 1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*n**3\/8 - 374059095*n**2\/4 + 299247279*n\/8 - 3740591.\nAnswer: -(n + 29924728)*(5*n - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 2, s: 3, p: 4, c: 1, d: 1}. What is prob of picking 1 u, 1 r, and 2 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 - w**4\/12 - 2*w. Let o(d) = 5*d**3 + 3*d**2 + 3*d - 4. Let a(b) = -o(b) - 6*u(b). What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**2 - 32*s + 96. Calculate c(3).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 9*t + 77 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7442858 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 4 + 6*y + 24.\nAnswer: 6*y + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6037080 to the power of 1\/2, to the nearest integer?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 12514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7602 - -9781. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8))**41 assuming g is positive.\nAnswer: g**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (2352\/(-70))\/(-8) + -5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/6 - c**5\/20 + 14*c**2. What is the third derivative of j(q) wrt q?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 16*z - 4. Let f be u(-9). Let r(q) = 21*q**3 - 11*q**2 - 5*q. Let v(i) = 4*i**3 - 2*i**2 - i. Determine f*v(b) + 4*r(b).\nAnswer: -4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z**3\/4 + 3135*z**2\/2 - 97081*z\/4 + 90189.\nAnswer: (z - 9)*(z + 911)*(7*z - 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 - -114.3. Let t = -115.9829 + h. What is t rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 66*n + 73. Let g be y(34). Solve -2*f = c + 1, g*f + 2*c + 0*c = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -154115?\nAnswer: 44\/154115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 186 = -3*c. Suppose 0*f + 860 = -6*f + 908. Calculate the remainder when c is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p = v - 74*p - 13, -5*v = -2*p - 26. Put -64, 5, 23, v in descending order.\nAnswer: 23, 5, v, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 - 87 = -6*k. Suppose -5*v + 5*h = -80, -h - 64 = -5*v - 0*h. Suppose v = -2*g + k. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d*(d*d**(-8))\/d)**(-7) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-27\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -9. Suppose 14*f - 68 = d*f. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - x**2 + 2*x**2 - 14 - 5*x**4 + 5 + 7 to a*x**2 + g*x + h*x**4 + j + l*x**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 = -4*f, 0*f - 2*o - 12 = -2*f. Let s = f + 2. Find the second derivative of 0*p - 3*p**3 + p**s + 3*p**3 - 2*p wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z - 2. Let c = 199 - 139. What is the smallest common multiple of c and o(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 6 = 54 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1948385139 and 393.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -389, 32630.\nAnswer: -389, 5, 32630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t**(2\/5))**(17\/6) assuming t is positive.\nAnswer: t**(-391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 2373?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10669960 divided by -5\nAnswer: -2133992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 4\/3 (c) 4 (d) -686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299052368 by 2182864.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38815 = -4445*r - 29473 - 83171 - 95081 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 324 = 9*g. Let j be g\/(-6)*(-4)\/(-6). Let m = -5 - j. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015037187 to the power of 1\/3, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 + 2*a + 5. Let n be v(4). Suppose 59 = -5*l + 6*l - 5*k, l - n = 4*k. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 50 = 3*t, p + 55 = 4*t + 6*p. Suppose 4*n - 28 = -w, -6*w = -5*n - w + 35. Solve -n*s = -2*s + t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2435032.\nAnswer: 7305096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000040821 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 e when four letters picked without replacement from {u: 3, m: 6, t: 1, r: 6, e: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13110, -26215, -39312, -52401, -65482?\nAnswer: -78555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/9 + 4*y**4 - 464*y**3\/9 - 16*y**2 + 1792*y\/9 = 0.\nAnswer: -16, -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -217*j - 92. Does 17 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 141 in 27, -1, -3\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/23)\/x)*x\/x**(-3\/5))\/(x*(x\/(x**1\/x*x))\/x)**(-40) assuming x is positive.\nAnswer: x**(404\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 15. Let v be z(-7). Suppose 0 - 16 = -m. Let h = m + v. What is the remainder when h is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 9*u + 17. Let x be c(-7). Let y(g) = -g**2 + 1. Let h(v) = v**2 + 2*v - 2. Determine x*y(b) + h(b).\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/19, 2\/13, 1, 163, 5, -2 in increasing order.\nAnswer: -2, -3\/19, 2\/13, 1, 5, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 - 1)*-3*4\/24. Solve 8*r - f*r = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ooooiooooi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s + 184. Let g be t(-11). Solve -45 + g = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:00 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let t(b) be the third derivative of 0 + 0*b + 0*b**3 + 0*b**4 + 2*b**2 - 1\/20*b**5. Give k(t(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/8, -1\/11, 0.2, 6\/47, 437, 8?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 - 3*d - 4. Let j be c(-6). Suppose 0 = -5*h - x + j, h - 4*h + x = -2. Solve -4*r + 11 + 2 = -5*b, r = h*b + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 - 2904*m**4 - 43074*m**3 - 180360*m**2 - 231579*m = 0.\nAnswer: -953, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u - 15. Let m(h) = 3*h + 3. Let q(j) = -11*m(j) - 2*y(j). Let r be q(-2). Let w(t) = -8*t. List the prime factors of w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*v. Solve -4*o - 5*h - 5 = 0, 4*h = -v*o - 3 - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68088611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22875224, -45750424, -68625624, -91500824, -114376024, -137251224?\nAnswer: -160126424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2919.\nAnswer: 1\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 14. Let k be m(-5). Let c(q) = -2*q**3 - q**2 - q - 1. Let x(w) = -11*w**3 + 4*w**2 - 20*w - 30. Let g(t) = k*x(t) - 20*c(t). Factor g(d).\nAnswer: -4*(d - 5)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -249, -489, -727, -963, -1197?\n\"Answer: l**2 - 243*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50056 is divided by 472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrogmwrmmgoog. Give prob of sequence voom.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7*i**5\/10 - 3*i**3\/2 + i. What is the second derivative of r(n) wrt n?\nAnswer: 84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.6 and -3101?\nAnswer: 14264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - sqrt(108)*-2 - sqrt(108))\/sqrt(4))\/sqrt(9).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:43 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62000 and 192331750?\nAnswer: 7750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/15)\/(t\/(t*t**(-7\/2))))**(1\/12) assuming t is positive.\nAnswer: t**(-103\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 0*b**3 + 2*b + 2*b**2 - 2113 + 2127 in the form k*b**3 + r*b**2 + x*b + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, y: 2, m: 3, r: 2}. Give prob of picking 2 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -11, -17, -23, -29?\n\"Answer: -6*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 2, r: 3, d: 3}. Give prob of picking 1 t and 3 r.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 173. What is the remainder when 119 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21590\/7 + -3084. Which is the second biggest value? (a) 15 (b) w (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*c + 572, -3*x + 4*c - 394 = -c. Let m = 412 - x. Round m to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s. Let d = -412 + 525. Let k(i) = -43*i**2 - 51*i**2 - 17*i + d*i**2 + 17*i. Determine w(k(t)).\nAnswer: -152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122425 is divided by 806.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x - 16. Suppose -3*k + x = 3*h, k + 1 = 2*h - 3. Suppose -h = s - 2*l - 1, 2*s = -l + 23. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1898\/390 + (-12)\/10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -9, -312, 4 in increasing order.\nAnswer: -312, -13, -9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2251933 times -0.5\nAnswer: 1125966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v - 31*v + 270. Let a(g) = -542*g**3 + 1081*g**3 - v*g + 6*g**2 - 540*g**3 + 8. Calculate a(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1621751?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.1 + -34. Let w(g) = -g**2 - 11*g - 27. Let u be w(-8). What is the closest to m in 9, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423681+-0.3\nAnswer: 423680.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2 - 5\/15. Which is the closest to z? (a) 2\/23 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 59, -3, -35 in descending order.\nAnswer: 59, 0, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 474412*z**4 + 2*z**3 - 12*z**2 - 124639*z wrt z?\nAnswer: 11385888*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m. Suppose -2*a + 3*b = 4*b - 79, 5*a - 3*b - 203 = 0. Let r = a - 28. Let u(y) = r*y**2 - 16*y**2 + 7*y**2. Calculate u(i(c)).\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 13572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/(10\/5919). Let h = f + -197. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 70039700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 12, 2*c - 367 = 2*r - 351 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160591 is divided by 14435?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1118817 divided by 8673\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 724327713 - 5189?\nAnswer: 724322524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11))**(-1\/13)\/((j\/(j\/j**(5\/3)))\/(j\/(j**(-4\/7)\/j))) assuming j is positive.\nAnswer: j**(2591\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - f - 3. Let u be q(4). Let x = -16 + u. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/(-15)*4*6\/110 and -59\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 14*x**2 + 9*x + 5. Let n be c(15). Suppose -2413 = -4*f - n. What is the third derivative of 2*i**2 + 513*i**3 - f*i**3 - 12*i**2 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q. Let d(f) = -f**2 - f. Let g(i) = -i. Let p(l) = 3*d(l) - 3*g(l). Calculate z(p(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4247031 and 0.5.\nAnswer: 2123515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*a - 2*l, 3*a - 4*l + 10 = -3. Let z = a - -13. Find the first derivative of 5 - 3*c**2 - z + c**2 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -22. Suppose -5*z + 27 = k. Suppose -2*n + 70 = n - p, -118 = -z*n + p. Calculate the smallest common multiple of 14 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 759 and 41090742?\nAnswer: 41090742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 83*l + 773. Determine c(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:24 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6005 divided by -167222?\nAnswer: 6005\/167222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -102934199.7 rounded to the nearest 100000?\nAnswer: -102900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweewewewweeww. What is prob of picking 3 w?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-230)*2*(-5)\/(-45)*15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/13*4\/(-60)*-5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))**(-45))**(5\/19)\/((f**(-1\/3)*f*f*f)\/f**(-1\/2)*f*f*f**1*f*f*f**(-7)) assuming f is positive.\nAnswer: f**(-2833\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2 + 19.2. Let x = -532248182 + 532248197.99999955. Let b = x - a. What is b rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -326 - -326.1. Sort -5, -6\/5, s.\nAnswer: -5, -6\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 60*b + 1 - 4*b**2 + 4.\nAnswer: -3*b**2 - 60*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 16840.\nAnswer: -3\/16840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -9394659?\nAnswer: 9394658.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoo when three letters picked without replacement from oooooaooa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbbtvotbbttbtvob. Give prob of picking 1 b and 1 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4 + 1319*t**3 + 440805*t**2 + 3848125*t - 4290250 = 0. What is t?\nAnswer: -655, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 599 and 408636602?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/185 + 601\/19240. Let x = y - -99\/520. Let k be 245\/175 + (-3)\/(-5). Which is the nearest to -0.2? (a) k (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 78 - 210 = 0. Suppose 49 = -29*l + c*l. Solve 20 = 9*n - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 48 = 3*x - 2*a, 0 = 4*x - 2*a - 282. What is the first derivative of 0 + 8 + 4 - x + 37*b**2 wrt b?\nAnswer: 74*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/5 + 3*q**2\/5 - 591*q\/5 + 117.\nAnswer: 3*(q - 13)*(q - 1)*(q + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 18*l - 4 - 2, -2*h = h - l + 6*l - 169 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1632 - 1152. Is x + (6 - (8 + -3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 2, a: 3, t: 1}. Give prob of picking 1 t and 3 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 + 3*o**2 - 3*o**2)*(-234 - 108 - 84).\nAnswer: -426*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18150657*d - 38783220 wrt d.\nAnswer: 18150657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/122*0\/(2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 8\/(-4))*0. Solve -g = -s*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 17*x + 18*x + 22 = 0, 91*x = -3*d + 90*x - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, m: 1, b: 3, j: 6, d: 1}. What is prob of picking 3 b?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8\/31, -10, -5, 3\/4, 2\/5?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b478 (base 15) in base 16?\nAnswer: 15abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.776679t in kilograms?\nAnswer: 3776.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223370 is divided by 111681.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390996.\nAnswer: 2, 3, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242507633467 - 1.\nAnswer: -242507633468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 0 - (-92 + 102).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216.9 + 217. Let z = 0.9 + 0. What is the closest to o in 2\/7, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013279 to seven decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3744) - sqrt(3744)*-2 - sqrt(3744))*2)\/(-1*(sqrt(2) + (-3*sqrt(14))\/sqrt(7))).\nAnswer: -2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5)\/c*c**(-14)*c**(-11)\/c*c**(-1\/2) assuming c is positive.\nAnswer: c**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-54)*(-2)\/(-8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4859 - -4858.94519. Round f to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**2\/2 + 2*b - 9. Let t(o) = 26*o - 11. What is -11*q(p) - 2*t(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-13))\/((-2)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:38 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12538235 to the power of 1\/2, to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:07 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 20*q + 48. What is d(12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 31 + 17. Let v(l) = -14*l**3 + 4*l**2 - 14*l - 8. Let c(g) = 9*g**3 - 3*g**2 + 9*g + 5. Let s(t) = f*c(t) - 5*v(t). Find q such that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643293.7 years to months.\nAnswer: 7719524.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**6\/3 - 5*v**3\/3 + 39. What is the third derivative of o(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13789, 26474, 39147, 51796, 64409, 76974?\nAnswer: 89479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63046 - 30095. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 77042, 153495, 229912, 306275, 382566, 458767, 534860, 610827?\n\"Answer: -3*j**3 + 76474*j + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*r**3 + 57*r**3 + 68*r**3 - 3*r + 3*r - r**3 + (-2*r**2 + 3*r**2 - 2*r**2)*(-5 + 5 + r) to y + c*r**3 + p*r**2 + o*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303765 (base 9) to base 16.\nAnswer: -2bef8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 13124*x**4 - 2128*x**2 + x**5 - 2688 + 3*x**5 + 120*x**3 - 4768*x - 12952*x**4 = 0. What is x?\nAnswer: -42, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810811189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {j: 2, c: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-225)*(-40)\/(-32))\/((-33)\/(4356\/(-1430)))\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 22. Sort x, -2, -4 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, -18 in descending order.\nAnswer: 3, 0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 281 + 4*z**2 - 135 + 88*z - 6*z**2 - 141 + 4*z**2 in the form s*z + w*z**2 + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 17571 - 17805. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78889853\/2355705 - -2\/52349. Let k = -478\/9 - x. Let w = k - -87. Which is the third smallest value? (a) w (b) -3\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 32. Let x = -19 - -35. Calculate the highest common divisor of u and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-56))\/(3\/(-21)*-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17550 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -243505.7.\nAnswer: 121752.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3886 and 46.\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55868 - -191.11.\nAnswer: 56059.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(426\/(-36) + 37\/(-222))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25267088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 2*n**2 + 2*n**2 + (0*n + 0*n - 2*n**2)*(14 - 3 + 0).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i. Let f(x) = x**2 + 175*x - 1848. Let q be f(10). Let b(k) be the third derivative of 0 + 0*k + 7\/24*k**4 + 0*k**3 - 24*k**q. Give s(b(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*g + 110*g = -16. Suppose 0 = 4*o - 2*x - 94 - 306, 0 = -g*o - 3*x + 380. What is the highest common factor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) + 2*2*sqrt(5200))\/(sqrt(576) + sqrt(576)*-2 + sqrt(576) - (sqrt(44)\/(sqrt(22)\/sqrt(2)) + sqrt(4) + sqrt(4))).\nAnswer: -50*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 10229 = 17*k + 5*l, 0 = 3*k + 3*l - 15291. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7002844562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 20\/3, 8, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 4*i**2 - 1 - 1 + 14*i**2 wrt i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + u + 5*u)*(-132 + 226 + 787) as q + o*u and give o.\nAnswer: 7048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-57)\/(-21) - 4\/(-14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 339321.9l?\nAnswer: 339321900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*r**2*w**3 - 1059*r*w**3 + 30*w**3 + 231*w**2 wrt r?\nAnswer: 44*r*w**3 - 1059*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40045947 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -68?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3262 divided by 466\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -16175888*w + 16175890*w - 4*i, 0 = -3*w + 3*i + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 - 9.5\nAnswer: -9.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -3 (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32430612 - -55802279. Let c = -15179258 - -21450925. Let u = c - a. What is u rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-2079)\/18)\/(-21))\/(-1 + 2)*-1 and ((-4)\/(-132))\/(1\/(-79)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-eight fifths of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.9398ug in tonnes?\nAnswer: 0.0000000002899398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Let h = x - 0. Calculate the highest common divisor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/3 - 20*d. Let g(i) = 3*i - 3. Determine g(v(u)).\nAnswer: -6*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y + 10966310 = 26903461. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**4)*s\/((s*s*s**11\/s)\/s))**(-36)*((s\/(s*s**(-8)\/s))\/(s**(-7)*s))**(-8\/11) assuming s is positive.\nAnswer: s**(5424\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960879.\nAnswer: 1960879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 433, 437, 443, 451?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*u + 109*u + 105*u to f*u + h and give f.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 12. Suppose w - 23 - 8 = 3*j, j + 3*w = -7. Calculate the lowest common multiple of l and (-470)\/(-50) - (-4)\/j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1860749 and 172.\nAnswer: -1860577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.266 times 223.4\nAnswer: -59.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 436*h**2 - 202091*h\/3.\nAnswer: -h*(h + 179)*(h + 1129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 7*y. Let k(t) = -3*t**2 + 6*t. Let g(a) = -6*j(a) - 7*k(a). Let h(r) = -327*r**2 + 0*r + 324*r**2 + 0*r. Give h(g(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n**5 + 0*n**5 + 5*n**5 - 2*n**5 - n**5 + (3*n - n + 2*n)*(-7*n**4 + 2*n**4 + n**4).\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.017293 - 0.117293. Suppose 5*s + 25 = 0, -2*q - 15 = 3*q + 3*s. Which is the nearest to 1\/3? (a) 5 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + z - 3*z)*(-z + 4*z - 5*z)*(-2*z - 3*z - 6*z) + (-3*z**2 + z - z)*(z + z + 0*z) to the form q*z**3 + l + m*z + f*z**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/30)\/((-1)\/220). Let s = 184 + i. Let k = s + 23. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -88*n - 69. Sort -34, -4, -0.1, n in descending order.\nAnswer: -0.1, n, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118\/180 + -5 - 79\/790?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740 - 2809 = -180*o - 9709 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22537930 to the nearest integer?\nAnswer: 4747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4349 = 9*s - 1069. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47818049 + -2.\nAnswer: 47818047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2530, -2551, -2586, -2635, -2698, -2775, -2866?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (1 + -5 + 3 + (13 - 26)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(581\/(-14) + 42))\/((-2)\/408).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4613.02319 + 4613. Round c to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2)*1*1. Let p = q + 4. Let t be 2\/(0 - p\/(-10)). Solve -f = 2, 4*w + 5*f = -w - t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425 (base 6) in base 5?\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -5845.\nAnswer: -5840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18159141.\nAnswer: 3, 7, 11, 13, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101, -110, -121, -134, -149, -166?\n\"Answer: -a**2 - 6*a - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4978\/(-57) + 1\/3. Let w = h + 89. Solve -2*z = 2*s - 1 - 9, -w*z = -4*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6 = 3*s, 2*p + s = 2 - 4. Suppose -d = -5*u - 17, -u + p*d = d + 1. Is (1\/3)\/(u\/(-279)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 166*n**2 + 47974*n + 3. Give k(-289).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y + 14. Let i = -3 - 4. Let g = 12 + i. Suppose 0 = g*p + a + 60, 5*a + 69 = -5*p + p. Let u(s) = -5*s - 5. Calculate p*u(t) - 4*w(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-66)\/(-30) + -5)*(0 + -7370). Let h = y - 990577\/48. Find the common denominator of h and -101\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -33*j**2 + 73*j + 205. What is p(5)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 12*l - 4*b - 1 = 0, -4*l + 3*b = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*v + 149*v - 75 + 27 = 6*w, 10*v = -4*w - w - 75 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/4*(-4)\/(-20)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*h - 89 + 91 - 116*h + 223*h.\nAnswer: 374*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-10)\/(-8) - 3\/1)\/((-1215)\/(-71280)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2448, -1 in decreasing order.\nAnswer: 15, -1, -2448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780655 is divided by 308954.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -0.1 (c) -4 (d) 6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 15. Let u be y(-7). Let j be 2\/u - 510\/18. Let g = j + -61. Round g to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 129 and -510.49?\nAnswer: -65853.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101 + 11010011011111111110?\nAnswer: 11010011100000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7574 - 5632. Calculate the remainder when m is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tut when three letters picked without replacement from {s: 1, u: 4, t: 1, y: 3, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 3. Let d be f(2). Let r = -1 - d. Let z = 8 + r. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935776248 to the power of 1\/2, to the nearest integer?\nAnswer: 43997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 - 5*w + 3. What is k(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - c)*(251 + 274 - 776)*(4 - 14 - 3).\nAnswer: -3263*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073, 1498, 2669, 4958, 8737, 14378, 22253, 32734?\nAnswer: 46193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -412267*d**2 - 420701.\nAnswer: -824534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006339 rounded to six dps?\nAnswer: 0.000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(2299) - (5 + sqrt(475))))**2 + 4.\nAnswer: -546*sqrt(19) + 28952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/8 + -5\/56. Suppose -2\/7*b**2 + 8\/7 + 8\/7*b - s*b**3 = 0. What is b?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 9 - 2 - 18)*(-m**2 + 0 + 0) as q*m**2 + v + f*m and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0073790345 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Suppose 4 + z = 5*t. Suppose 2*j + 0*j = 16. Calculate the lowest common multiple of j and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6294 divide 1913661042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2044)\/(-11) + 1*-1. Let n be 1\/(-2*1 + (-3321)\/(-1665)). Let g = p + n. Which is the biggest value? (a) g (b) 3\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(252) + -2) + sqrt(112) + -4 + 2)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 63548855\nAnswer: 1\/63548855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 3*t, -t - 9 = 2*t + 3*b. Suppose t = -5*q + 2*q + 15. Suppose -5*a + 1 = 4*v - 5, q*v = a - 7. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709804 is divided by 994?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 9*d - 5*a + 4108, -5*d + 6780 = -5*a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*i**3 - 261*i**3 - 259*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 25 = 327*j - 326*j, -5*k + 35 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 8 - (-25 - 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 - 4 = 0. Suppose 0*l + h = l. Solve 5*d = 5*v + 10, 0 = -d + l*v - 5 + 11 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8160)\/(-1530)*(-381)\/16\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-14))\/(23\/(-2576)*-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152698*a - 152703*a + 140 = 0 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*c - 30, c + 21 = 3*b - 0*c. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -55. Calculate the common denominator of -97\/8 and (p + 2)*206\/(-56).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386105?\nAnswer: 3, 5, 7, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/40)\/(-8)*1\/1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12172 - -2.4.\nAnswer: -12169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130804140?\nAnswer: 2, 3, 5, 461, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112644 divided by 26?\nAnswer: 56322\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z**3 - 7*z**3 - 7*z**2 + 7*z**3 + 7 - 5*z - z**3. Let b = 328 + -220. Let p = 102 - b. What is s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -42. Let f(t) = 3*t**3 + t**3 + 6 + 11*t**2 - 3*t**3 - 14 - 13*t. Let q be f(x). Solve -q*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9\/16, -2\/21, -0.2 in descending order.\nAnswer: 9\/16, -2\/21, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(60)\/(sqrt(12) - (sqrt(12) - sqrt(12)*-1)))*-3 + ((1*sqrt(175))\/sqrt(7))\/(sqrt(80)*4).\nAnswer: 6 + 49*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19433*w**3 + 3490*w**3 - 2610665*w + 2610665*w.\nAnswer: -15943*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0931 - -3.0931. Which is the second smallest value? (a) 0.1 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.08. Let m = -0.05 + t. Let v = 166\/35 + -36\/7. Is m at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 + 5*q - 3. Determine z(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(1210) + sqrt(10))\/(sqrt(40)\/sqrt(128) + sqrt(5)).\nAnswer: -1032*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12*(-24)\/38. Let h(r) = r**2 + 6*r - 1. Let l be h(0). Is k at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 4}. Give prob of sequence gt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -5*k - 22, -l = -4*k - 14. Which is the third smallest value? (a) l (b) 9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*a**2\/7 - 39*a\/7 - 18\/7.\nAnswer: -(a + 3)*(11*a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 11*d + 25. Let g be j(6). Let b be (-5 - (-10 - g))\/(-2). Solve b = -5*q - h - 20, -6*q + q - 4*h = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4))\/q)**(-23) assuming q is positive.\nAnswer: q**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -130.1?\nAnswer: -52.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (95\/20)\/((-123)\/(-60) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15\/77 + 1\/11. Let q(u) = -u**3 - 4*u**2 + 4*u - 4. Let s be q(-5). Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r + 1. Let d be b(-1). Let a = 13 + d. Let m(y) = 5*y**2 - 2*y + 1. Let h be m(a). Solve 0*q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlm when three letters picked without replacement from {n: 3, a: 1, z: 3, l: 2, m: 1, h: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19.67. Let u = q - 0.670078. Round u to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7318 times 31\nAnswer: 226858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -88*u**3 + 5834*u**2 + 4156*u - 128. Give b(67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 861861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d - 2. Let v(n) = -4140*n**2 - 2*n - 2. Calculate l(v(u)).\nAnswer: 41400*u**2 + 20*u + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57007216.\nAnswer: 2, 7, 59, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x - 11. Calculate the remainder when 73 is divided by p(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/3 (b) -0.4 (c) -27 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-6*-1)\/(1*-1*sqrt(9) - (sqrt(729) + (sqrt(729)*2 - sqrt(729)) - sqrt(729))).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 42. Determine t(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23188, -4, 3, -1\/3.\nAnswer: -23188, -4, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5165\/102 - -835\/17. Find the common denominator of -37\/135 and l.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-13)\/(4758\/1769)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20672 and 983824?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20818038, 41636076, 62454114?\n\"Answer: 20818038*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0267 and 0.5.\nAnswer: -0.01335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 1. Let v(a) = -15*a - 1. Let q(h) = v(h) + 4*w(h). Let b(j) = -5*j - 4. Let p be b(-3). Let m(g) = -2*g - 1. Calculate p*m(u) + 4*q(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/42 + 1 + -1. Let s(k) be the third derivative of 0 + 0*k - 6*k**2 + g*k**4 + 1\/42*k**3 + 1\/140*k**5. Factor s(l).\nAnswer: (l + 1)*(3*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 - 1621*s**2 + 169*s + 50218. Calculate a(324).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 860420624?\nAnswer: 9464626864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and -169.\nAnswer: -169.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175015, -175016, -175017, -175018, -175019?\nAnswer: -175020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112132 (base 4) in base 16?\nAnswer: -559e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5356 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453497527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 2. Suppose 513 + 167 = i*q. Suppose 48 = 4*a - q. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.42 - -11.424404. Round b to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6469*y = 6401*y + 816 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0533847 to one decimal place.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6081580*0.4.\nAnswer: -2432632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4*-1 + (-17 - -17). Sort g, -4, 9 in decreasing order.\nAnswer: 9, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -9. Let d(k) = 9*k + 1. Let z be d(q). Suppose z = 10*u - 6*u. What is the least common multiple of 12 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1870 and 46\/55.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose 2 = -a*j + 4*j. Suppose -j*k + 0*k = -8. Solve -z + k*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -353.7 and 4?\nAnswer: -1414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 272 = 2*m, -m + 1 + 3 = 0. What is the units digit of (-1)\/(-1 + o\/(-68))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 5. Let h be b(0). Suppose -h*t = 4 - 24. Suppose t = -4*d + 16. Let c(p) = p**2 - p - 1. Calculate c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 234, 329, 424, 519?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25523961, 51047918, 76571875, 102095832?\n\"Answer: 25523957*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/6 - 7*k**3\/6 - 7*k**2 + 305*k. Let w(q) = 2*q**2 - 6*q - 13. Determine -6*a(i) + 7*w(i).\nAnswer: 2*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:53 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhp when three letters picked without replacement from {l: 4, p: 2, h: 3, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12113 divided by -923?\nAnswer: 12113\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 67 - 61 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 63.5 (b) -2\/9 (c) 5 (d) 0.997\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n + 3. Let d be k(2). Suppose 0 = o - 5 + 3. What is the second derivative of -o*g**d - g - 3*g + 5*g wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2164*j**2 - 8 - j**3 + 3*j**3 - 2158*j**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -4, -3, 5 in ascending order.\nAnswer: -4, -3, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 2, d: 2, s: 1, n: 1}. What is prob of picking 1 k, 1 d, and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-288)*4\/((-192)\/3).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1965.7212 months to decades.\nAnswer: 16.38101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/3 + 3\/(-9). Let x = p + 67. Suppose 3*w + 12 = 6*w. What is the greatest common divisor of w and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 8*a**2 - 27*a**2.\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 4 = 0. Let s be ((2\/3)\/(-1))\/((-6)\/27). Suppose 0 = -m*x + x - s. Put 0, 1, x in increasing order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-2 + (1 - (-9 + 7 + 4))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 301*y - 169*y - 498168. What is the remainder when y is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05679 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h + 28*h**2 + 480*h**4 - h - 2780*h**5 + 2844*h**5 + 228*h**3.\nAnswer: 4*h**2*(h + 7)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6) + (-59)\/6. Let z be ((-12)\/u)\/(6\/20). What is the tens digit of z*5 - (5 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + 5*sqrt(324)*1 - (sqrt(324) + 2*sqrt(324))*3)\/(4*(sqrt(432) + sqrt(432) + 6*-1*sqrt(432))).\nAnswer: 3*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*n + 7 = -3*n, 2*v = -4*n + 12. Solve v = -4*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 17 (b) 3\/4 (c) -2 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-150)\/(-135)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2693.96 + 2694. Put 4, k, -4, -3\/28 in descending order.\nAnswer: 4, k, -3\/28, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/30 + 22*m**5\/3 + 226*m**4\/3 + 304*m**3 + 893*m**2. Factor d(h).\nAnswer: -4*(h - 114)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-410)\/(-10) + (0 - -2). Let y = 65 - p. Calculate the smallest common multiple of y and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76063, -81143, -86211, -91261, -96287, -101283?\nAnswer: -106243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3 + 33*s + 7*s**3 - 35*s - 7*s**3 - 441*s**2 - 116*s**2 - 4*s**5 wrt s.\nAnswer: -240*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*k**3 - 114*k**3 + 79*k**3.\nAnswer: -164*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/115 (c) -0.239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 2*p**3 - 8 + 12 + 9*p**2 + 0*p**2 + 4*p**2. Let j be 50\/(-8) - (-33)\/(-44). Calculate the lowest common multiple of 8 and x(j).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z + 12. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5786240?\nAnswer: 2, 5, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 3, 337, 2\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**2 - 4*a + 1. Is r(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1956, -3117, -4282, -5451?\n\"Answer: -2*r**2 - 1155*r - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004405333 rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - (3 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 822\/19, -72, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2 in decreasing order.\nAnswer: 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.3, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 28 = -0*q. Let m be (2*(-3)\/2)\/q. Let k = -0.2 + 0.3. Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - g + 2)*((-2 + 2 + 1)*(-5 + 3 + 3) - 1 - 1 + 5)*(-42 - 16 + 3).\nAnswer: 220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23419695 and 11205?\nAnswer: 210777255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 68*n**2 - 2*n - 7. Let t(y) = -y**2 - 5*y - 3. Let a be t(-5). Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219.8 - -217.8. What is the nearest to o in -5, -2\/9, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a factor of 2941500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8536861 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 3*h**3 - 2*h**5 + (h**5 + 0*h**4 + 0*h**4)*(-6 + 1 + 4) - 1 + 1 - 2*h**5 + 2 + h**5 - 2 - 2*h**2 - h**5 + 2*h**2.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/21, 1, -687?\nAnswer: -687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 951, 3842, 8657, 15390, 24035, 34586, 47037?\n\"Answer: -f**3 + 968*f**2 - 6*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -7*b**6\/10 - b**5\/10 - 35*b**3\/6 + 13*b**2\/2 - 19*b + 26. Find the second derivative of m(l) wrt l.\nAnswer: -252*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - 28\/8. What is the remainder when 54\/3 - (f - (3 - 1)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227 + 231. Suppose -2*k = -3*x - x, 12 = k + z*x. What is the greatest common factor of k and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*c = -37725, y - 3*c - 16183 - 21540 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, -14031, -4\/7, -5 in decreasing order.\nAnswer: 4, -2\/9, -4\/7, -5, -14031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(6*j**2 + 497 - 497).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 307689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.43 + 0.03. Let b = -4.48 - -4.66. Let f = 1.18 - b. What is the nearest to 0.1 in f, -6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15))\/((-3)\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k**2 - 3*k + 7. Let x(r) = -10*r**2 + r - 3. Give 3*s(y) + 7*x(y).\nAnswer: -13*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360*(-232)\/348*3\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 12. Let f be m(-8). Suppose -t = f*j - 13, -13 = 2*j - j - 3*t. What is the common denominator of 35\/2 and ((j\/4)\/(-1))\/(35\/565)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 - 2.19. Which is the third smallest value? (a) r (b) 79 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*f - 16 = 0. List the prime factors of 573\/9 - f\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/786580 and 41\/17610.\nAnswer: 2359740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657\/21 + (-4)\/14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.313453 nanoseconds to days.\nAnswer: 0.0000000000002003871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/585*3\/(-20)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1450 and -113\/1150.\nAnswer: 33350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110101 (base 2) in base 15?\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/54 and 7\/10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*v = -7*v - 54537 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*s - 13 + 272 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 8*n + 4. Let u be b(-4). Suppose u*r = 45 + 7. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(20))*-5.\nAnswer: -10 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61312, -61308, -61300, -61288, -61272, -61252, -61228?\n\"Answer: 2*g**2 - 2*g - 61312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(1*6\/(4\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 53*t + 361. List the prime factors of y(-37).\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 204184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1020 - -1058. Find the common denominator of -29\/1156 and z.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392043323 * 3.\nAnswer: -1176129969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.335 rounded to the nearest integer?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m, -3*z + 8902 = 4*m - 6217. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let r = 7 - z. Does 12 divide (46 + r)*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1745*y**2\/7 - 4*y\/7 = 0. What is y?\nAnswer: -4\/1745, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from vvsvvsoosos?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 10*m + 25. Let y be (4\/10)\/((-4)\/20)*3. Let i be t(y). What is the fourth smallest value in i, -1\/5, -0.1, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80\/9 in 5, -2\/19, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.669384 hours in minutes?\nAnswer: 340.16304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9122 + 13527. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*r - 469, 0*r - 475 = -5*j + 5*r. Let q = j - 47. List the prime factors of (-183)\/(-5) - 27\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/2 + 2793*m**4\/2 + 161443*m**3 + 6286760*m**2 + 79118400*m - 85568000 = 0. What is m?\nAnswer: -2674, -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -33. Let v be 7\/(-2)*(-8)\/k. What are the prime factors of v + (3 + -2)*9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 45*o + 67. Let g(p) = 15*p + 22. Let a(q) = -3*b(q) + 8*g(q). Let h be a(-10). Suppose j = -5*y + 2*j + 670, -2*j = -y + h. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22648 = 3*u + 5*v, 5*u - 2*v - 30232 = u. Is (-2)\/(-10) + u\/20 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -68. Is b > -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 1873*o + 59902. Determine p(-31).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 170\/51*(-78)\/(-5). Is 53 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from ireqqblbi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/8 + 14689*a**2\/8 + 6739955*a - 40472787\/2 = 0.\nAnswer: -7346, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16471, 16510, 16619, 16834, 17191, 17726, 18475, 19474?\n\"Answer: 6*v**3 - v**2 + 16466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, -3, -172, -541, -1176, -2143, -3508, -5337?\n\"Answer: -11*d**3 - d**2 + 45*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*o - 14, 2*o + 3*o - 15 = 0. What is the units digit of (s\/(-20))\/(-1)*65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = -15*a + 6*a + 450 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12714043\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/56 and -83\/8120.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2368 = 22*r - 2208. What is the smallest common multiple of 624 and r?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83761 is divided by 401?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 285*j - 1. Let l(h) = 3*h. Give l(o(p)).\nAnswer: 855*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 80. Calculate the remainder when 136 is divided by 6\/(-1)*46\/t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.1 and -0.156?\nAnswer: 0.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904738747.\nAnswer: 11, 82248977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 3*k**2 - 3*k + 1. Let a be z(-5). Calculate the highest common divisor of 275 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 262\/270 + (-19)\/19. Let n = -16\/135 - z. Find the common denominator of n and 43\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000867 to 5 decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -443*n**2 + 5. Let g(k) = 417*k**2 + 24 - 30 + 140*k**2 - 112*k**2. Let i(h) = 6*a(h) + 5*g(h). Let p(x) = -x**2. Give p(i(d)).\nAnswer: -187489*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6362583 and 235415571.\nAnswer: 235415571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21846146*y**6 - 2*y**2 + 3154*y - 22 wrt y?\nAnswer: 2621537520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.77452 kilograms to grams.\nAnswer: 81774.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1822365 divided by 607455\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-269 + 137 - 6*d + 137)*(-2 + 2 - 1)*(-3 + 7 - 2)*(-d - 5*d + 5*d) in the form t + z*d + n*d**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2. Let h(x) = 2*x**2 + 5. Suppose 2*t = -1 - 3. Let i(o) = t*h(o) + 5*g(o). Let a(k) = -4*k**2 - k**2 + 7*k**2. What is i(a(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.57 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-447 - 271 + 56)*(i**2 - i**2 - i**2) to the form l*i**2 + m + u*i and give l.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32533 + -18844. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 3. Let u be -7 + 0 + (-1 - -1). Let w(p) = 13 - 31 - 3*p + 22. Suppose -52*z = 96*z - 540 - 200. Calculate u*b(k) + z*w(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 58, -4 in decreasing order.\nAnswer: 58, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17960370966 rounded to the nearest one million?\nAnswer: -17960000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -20*n**2 + 144*n - 40. Calculate y(10).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.9999565 + 29. What is p rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2 = -q. What is the remainder when 7 is divided by (1\/q)\/((-9)\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u*u**0\/u)\/u*u)\/u)**(-2\/47))**(1\/16) assuming u is positive.\nAnswer: u**(-1\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14170, 14222, 14284, 14362, 14462?\nAnswer: 14590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 4*a, 0*s - s + 2 = a. What is the remainder when (-329)\/(-14) + 2\/4 is divided by (3 - s)*36\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (1\/1 + 1). Let n be (-5)\/(15\/(-18)) - 3. Which is the nearest to 1? (a) n (b) h (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -61, 3 in increasing order.\nAnswer: -61, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4593215?\nAnswer: 5, 11, 23, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 23. Let t = s - -8. Suppose 0 = -t*v - 3*v + 54. Calculate the highest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4 in descending order.\nAnswer: 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, n: 6}. Give prob of picking 3 n and 1 c.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (5 - 6) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 255*q**2 - 80*q - 6212. Determine v(128).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 2*l = -49*c + 26*c + 3, -5 = 4*c - l - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6941*x**3 + x + 6939*x**3 - 20781*x**3 + 6935*x**3.\nAnswer: 34*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*z - 13, 3*z - 8*n + 3*n = 7. Suppose z*m - 40*a = -35*a - 1, -2*m - 4*a + 32 = 0. Solve -19 = -3*t + j, -4*t + 6 + m = 2*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001110111111 (base 2) in base 7?\nAnswer: -53423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496846, -1497319, -1497792?\nAnswer: -1498265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1202.87157 to 1 decimal place.\nAnswer: 1202.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -3. Let g(r) = 2*r - 2. Let d be g(2). Suppose -4*s + 3 = w, d = w + 3. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98620099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2*-4)\/(6*sqrt(12)\/sqrt(2)).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309069?\nAnswer: 3, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -36. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 5*m - 1 = -11*l, 0 = l - 4*m + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + -13. Is -28 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:16 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110570 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18073001*p**4 - 2072*p**2 + 178*p + 11 wrt p?\nAnswer: 433752024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.87 smaller than 89328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (0 + -1*sqrt(11)*1 + sqrt(11) + (sqrt(396)*-3)\/sqrt(4))**2 + -1.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*a + 3*i - 5 = 0, 0 = -i + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 45 - (-138 - -41)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {w: 1, l: 4, t: 1, y: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aa2592 - -33?\nAnswer: 2aa2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1415602 + 20?\nAnswer: -1415552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -1*sqrt(153)) + 5)**2*3.\nAnswer: 180*sqrt(17) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-1\/4))\/v))\/v*v)**(-1\/19)*(v**6*v)\/v**(1\/6) assuming v is positive.\nAnswer: v**(1549\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.874 - -0.126. What is the closest to 1 in -4\/5, -0.7, a?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4\/9*j**2 - 2\/9*j + 0 - 2\/9*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 254858, 509703, 764548, 1019393, 1274238?\n\"Answer: 254845*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1. Let c(h) = -h**2 + 9. Give 6*b(o) - c(o).\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(24\/4)\/(27\/6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*z. Which is the nearest to -7? (a) z (b) -1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 - -3) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 5*f**3 + 3954372*f**2 - 3954372*f**2 + 9*f**3.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15670820 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 8*g - 7. Let l(d) = -5*d - 7. Let s be l(-2). Let n(y) = -y**2 + 4*y + 2. Let i be n(s). Determine a(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28381777 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11)*4 + 2)))**2*4 - (sqrt(396)*4)**2)*5.\nAnswer: -31380 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 8. Let y = 17 + w. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125145167 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 3. Let d be u(5). List the prime factors of 2\/(3*d\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31001463 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.25162 months in decades?\nAnswer: 2.3437635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 - f + 2. What is the remainder when 55 is divided by y(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 2. Suppose -55 = -5*q + 2*s, 4*s + 7 - 14 = -3*q. Let r(m) = 5*m - 3*m + 11 - 9*m - q*m. Determine 11*n(y) - 2*r(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 57\/264517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -59. Let a be (-6)\/((-13)\/m - -5). Solve 10 = -3*h + h, a*h = l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 5, g: 14}. What is prob of picking 2 r and 1 m?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*i**6 - 26*i**2 - 13*i**6 + 35*i**6 wrt i.\nAnswer: -4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(72)*2)\/((1*sqrt(36))\/sqrt(12)))\/(sqrt(40)\/((sqrt(20)*-2)\/sqrt(4)) - (sqrt(1152) - (-1*sqrt(1152) - sqrt(1152))*-4)).\nAnswer: -12*sqrt(3)\/167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 13 + 2*m - m - 71 + 41 to s + d*m and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 52*h - 94. Let g be c(2). Suppose -2*o - 5 = -7*o. Let k(t) = t**3 + t**2 - 2*t + 1. Let m be k(o). Are m and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 755 and 30.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*k + d - 8 = 141*k - 0*d, -7780 = -5*k - 390*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 11*t + 65)*(-646*t + 165650 - 165650).\nAnswer: 7106*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12378, 13150, 13900, 14634, 15358, 16078, 16800?\nAnswer: 17530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = 3*y + 42*c - 8, 5*y + c = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q**4 - 8\/3*q + 4*q**2 + 2\/3 - 8\/3*q**3.\nAnswer: 2*(q - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/120 - g**5\/12 + g**2. Find the third derivative of h(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -9*n + 4*n + 2, -2*t = 3*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4370*l + 314682. Determine i(72).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -13879 and -13945 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/((-275)\/(-40)))\/(7\/(-35)))\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l - 71*l + 23*l + 29*l + 1 - 4*l**2.\nAnswer: -4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3286095 - 1?\nAnswer: -3286096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*l + 304, -4*g + 2*l = -5*g - 309. Let d be g*(-2 - (-3 + 4)). Is (4\/6*1)\/(2\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/50 + x**4\/10 + 2*x**3\/15 + 19*x. Let r(t) = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*z = 594*z - 12789 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 140 = w, -3*w - 2*w = -5*x + 750. Let o = w + 227. Suppose 0*d - 8*d = -o. Calculate the highest common divisor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(26)\/sqrt(2))**2 - sqrt(13)) + sqrt(13))*-2 + ((-1 + sqrt(1872))**2 - (sqrt(1053)*-2)**2).\nAnswer: -2391 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 2*f + 7. Let b be d(-3). Let w be -10*((-20)\/4)\/10. Suppose 2*j + w*m = m - b, 4*j + 3*m = -3. Let v(k) = -k**2 + k + 4. Give v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 + o**3 - 3*o**3 + (-o**3 + 3*o**2 - 3*o**2)*(-2 + 5 - 2) - 1 + 1 + 2*o**3 - 744*o**3 - 985*o**3 + 2171*o**3.\nAnswer: 444*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p - 148 = -28*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -2 (c) 0.233 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 5. Let a(q) = q + 1. Let j(m) = 5*m + 4. Let x(v) = -4*a(v) + j(v). Calculate r(b) - 5*x(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -1)*3 - (sqrt(171)*2 + -5 + sqrt(171)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -8.3. Let s be 6\/27 + (-68)\/(-18). Let u be (-1)\/s + (-14)\/(-24). Sort -2, g, u.\nAnswer: -2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -42. Let u(j) = j - 10. Calculate u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15128933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, i: 4}. Give prob of sequence iii.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-5))\/((-2)\/10). Let o(i) = -45*i**3 - 223*i**2 - 450*i - 5. Let w be o(-2). What is the greatest common factor of r and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576483409 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f + 53*f - 1242 = 72*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:39 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*19\/133.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49710.36l to millilitres.\nAnswer: 49710360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 206. What is the highest common factor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35670 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -23, -47, -79?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x = 42*x - 2*r + 2, r = 4*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from ldwdddddddddddddl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3440115 by 4221.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42302 (base 6) in base 16?\nAnswer: -165e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1455626 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w**2 - w + 4. Suppose -5*z + 75 = -h, -4*h - 32 = -3*z + 13. What is the remainder when z is divided by m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2*i - 3*i + (-2 - 2 - 4)*(3*i - 3*i - 2*i))*(26 - 4 - 6)*(-3*i**3 - 3*i**3 + 4*i**3) as f*i**3 + z*i + k*i**2 + b + d*i**4 and give d.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((3 - -7) + 220)*(-11)\/22?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b6 - 2?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 57 = 15. Suppose -2*r + 8 = 2*p, -3*r + 13 = d*p - 0*p. Solve g = -4*a, -a + 18 = -r*g - 3*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5158.009564 - -5158. Round s to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/9909869?\nAnswer: 3\/9909869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221 and 78.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 253*x**2. Let g(s) = 577*s. Calculate g(v(m)).\nAnswer: 145981*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.0995 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 119. Suppose j = -5*q - 3, 4*q = 4*o - 80. Is o smaller than 210\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11885*d + 190159. What is p(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(-174*(-111)\/1197468).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -107. Let r = h - 51.96. Let q = r - 0.04. Which is the nearest to 1\/3? (a) q (b) 2\/15 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 52*m**3 - 5*m**2 - m**4 + 3*m**2 + 4*m + 2 + 53*m**3 to the form g*m**4 + n*m + w*m**2 + z*m**3 + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0057186*97\nAnswer: 0.5547042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992 is divided by 2950?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2323 and 2325 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 5}. What is prob of sequence ss?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*2\/(-6) + 4. Let t = -729 - -729.07. What is the second smallest value in f, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56214 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 72 - 62 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -34*c**3 - 11*c**2 - 5. Let l(d) be the second derivative of 7*d**5\/20 + d**4\/6 + d**2\/2 - 2341*d. Determine 2*b(f) + 11*l(f).\nAnswer: 9*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 2268 = 13*d. Calculate the remainder when d is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 + 0.2. Let u = 287 + -77. Let t = 209.9 - u. What is the nearest to t in 1\/8, -2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10937, 21871, 32805?\nAnswer: 43739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17)**18*(g\/(g\/((g*(g*(g\/(g\/g**(-10)))\/g*g*g)\/g)\/g)*g))\/(g**(-1\/62)*g) assuming g is positive.\nAnswer: g**(18291\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 5*u, 3*n - 5*u + 10 = 5*n. Suppose -n*m + a = 1, 4 = -0*m + 3*m + 4*a. Suppose m*v = 4*v - 40. What is the highest common factor of 30 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -201, -198, -195, -192, -189, -186?\n\"Answer: 3*m - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3631 - 3628. Let a(d) = d. Let i(u) = 54*u. What is z*i(s) - 135*a(s)?\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78587*y + 14*y**2 + 34*y**2 - 78587*y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t**2 - 2*t + 1. Let j(r) = 2*r**3 + 5*r**2 + 2*r - 45. What is j(b) + n(b)?\nAnswer: b**3 + 4*b**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/142411 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 1, 1, -3, -11, -23, -39?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 9*t + 3. Let a(r) = -6*r**3 + 2*r + 1. Let h be a(t). Suppose 4*j - 3*o - 12 = 0, j + 5*o - h = -2. Solve -n - 16 = j*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j + 4. Let c(t) = 18*t + 2. Let p be c(j). List the prime factors of 1*(0 - p*3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80802 and 2484.\nAnswer: 11150676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -314.3 - -314. What is the closest to -5 in v, 3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*h**3 + 34150*a**2 + 16*h**3 + 3*h + 129 wrt a.\nAnswer: -6*a**2*h**3 + 68300*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 29*m**2 - 75*m - 235. Determine r(-18).\nAnswer: 3383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -145 and -109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -2\/3, 2, 1, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g - 18. Suppose -2606*o - 980 = -2704*o. What is the common denominator of 113\/10 and 36\/o - (g + 15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.74858 rounded to 2 dps?\nAnswer: -6.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119516927 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 132915993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 534895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 31. Suppose -33 = 3*v - 69. What is the remainder when r is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**6\/300 - 8*x**5\/75 + 17*x**4\/20 - 12*x**3\/5 + 1616*x**2. Factor i(p).\nAnswer: 2*(p - 12)*(p - 3)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230450989 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2020 + 2353. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.786 (b) -35 (c) 15 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a**2 + 4137*a. Let l(v) = 2*v - 25. What is t(l(m))?\nAnswer: -36*m**2 + 9174*m - 109050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1375*p + 6971. Let a be h(7). Which is greater: -2657 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1\/35, 0, 10, -21, -32 in increasing order.\nAnswer: -32, -21, -1\/5, -1\/35, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 6*t**2 + 3*t + 11. Let z be b(-3). Let s be 1*3\/(-5 + z) + 3. Let f(o) = o**2 - 2*o + 4. Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5466*m**2 + 15271996*m - 22352 = 0.\nAnswer: -2794, 4\/2733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 183*i**3\/2 + 34565*i**2\/4 - 49050*i + 40500.\nAnswer: (i - 180)**2*(i - 5)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23582 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8038 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16252.097 less than 3572.37?\nAnswer: 19824.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (339\/(-226))\/((-2)\/4 + 0). Suppose 5*n = -4*t + 46387, -t + 2*n - 23196 = -h*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2419 and 649.\nAnswer: 26609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 6 + 4*t + 2)*(4*t**2 - 8*t**2 + 8*t**2).\nAnswer: 12*t**3 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1439 - 1438. Solve 0 = -4*i - d + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28186.428 months to decades.\nAnswer: 234.8869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 128*b = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8801105*2.\nAnswer: -17602210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 0, 1 in decreasing order.\nAnswer: 30, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -27. Which is the second smallest value? (a) w (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*f + 17 = 0, 46*s - 51*s - 4*f = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 + 94188*j**3\/5 + 282546*j**2\/5 + 56508*j + 94179\/5.\nAnswer: 3*(j + 1)**3*(j + 31393)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1980662ug?\nAnswer: 0.0000001980662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -659.31?\nAnswer: 659.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -12*q**3 - 5*q**2\/2 - 6459*q. Let g(r) = 7*r**2. Determine g(x(k)).\nAnswer: 36288*k**2 + 5040*k + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/42 - (-11765)\/70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10472 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c**3 + c**2 - c + 5. Let p(b) = -10*b**3 - b**2 + b - 4. Let q(x) = 5*p(x) + 4*z(x). What is q(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52755853 + 12\nAnswer: 52755865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 33 = 4*j, -222 + 221 = -z + 2*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let z be 0 - 51\/15 - (-6)\/15. Let o be (-1 - -7)\/(-2) + (z - -10). Let i(f) = 2 - o + 2 + 5*f**2. Determine i(t(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6 - (-9)\/(-10). Let h = 2 + -1.6. Let g be (0 + -1)\/(7\/2). What is the nearest to z in g, h, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/520 and -47\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10153 and 11297?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + a + 3. Let w(f) = f**2 - f. Suppose 4 = -13*d - 9. Calculate d*w(c) - x(c).\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -4. Suppose -2*g + 4*n = 4, 2*g - 5*g = n - m. Solve -g*z - 5 - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/60 + w**4\/12 - w**2 + w. Let o(z) be the first derivative of h(z). Is o(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*u - 5*k = 68*u + 276, -2*u - 5*k = -296. Suppose 0*c + c + 4*a = 47, a - 178 = -5*c. Let q = c - 22. What is the highest common divisor of q and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 24*k**2 - 32*k = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m\/((m\/m**(-15))\/m)*m)*m)\/m**(11\/3))\/((m*m*m*(m\/(m*m**11*m))\/m*m*m)\/(m\/((m**(-9)\/m)\/m))) assuming m is positive.\nAnswer: m**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-1920)*-24*(-5)\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - 3640 = -11582. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302.8 + 275. Let u = i + 30.8. Let y = 662\/15 - 44. Which is the third smallest value? (a) -0.04 (b) 1 (c) u (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052367548 to the power of 1\/2, to the nearest integer?\nAnswer: 45303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893041 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 + 20*b + 29. Let h be (-2)\/2*13*-1. Let t = h + 2. What is the remainder when a(0) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/35, -0.5, 1, -4.\nAnswer: -4, -0.5, 1\/35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 - 5*j - 3. Let f be c(-4). Let m = 3 + -1. Let g(n) = -4*n**2 - f + 3*n - n + 3*n**m. Calculate g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/((-208)\/(-113)) + -6 and 9\/4556.\nAnswer: 18224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 3*c**3 + 18*c**3 + (-10*c**3 - 15 + 15)*(1 - 2 - 1) in the form k*c**2 + z*c + u + j*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**5\/20 - i**4\/2 - 7*i**3\/6 + 5*i**2\/2 + 26*i - 1. Let w be k(7). Let p(m) = -m**2 + 4*m - 3. What is p(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1295\/7 + (-1)\/(3\/(-12)). Let s = 3 - 4. Let q = 22 + s. What is the highest common divisor of q and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -7\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -135. Put -4, -2, c, 2 in decreasing order.\nAnswer: c, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/13 + 28*d**3\/13 + 88*d**2\/13 + 80*d\/13.\nAnswer: 2*d*(d + 2)**2*(d + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**10\/840 + z**6\/360 + 2*z**3\/3 - 7*z. Let f(q) be the second derivative of b(q). Find the third derivative of f(o) wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*37\/74\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/((-324)\/(-459)) + -149)\/(1*-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 100 = -143. Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 2*w - 13. What are the prime factors of n(-8)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1\/130 (c) 5 (d) -4.9 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, u: 3}. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007652286225 rounded to six dps?\nAnswer: -0.007652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2*z + 31*p*z - 2*p - 27*z wrt p?\nAnswer: -2*p*z + 31*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/129, -103, 5, 1, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:20 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let i(c) = -310*c**2 + 18*c. Give i(p) - 12*u(p).\nAnswer: -286*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 + r - 4. Suppose 0 = -2*g - 0*g + 42. Suppose 5*y - 1 = -3*h - g, -5*y = 20. What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0178.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485 and 8932051?\nAnswer: 44660255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 5303?\nAnswer: 5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/82 (b) -5 (c) -3\/10 (d) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (22 + -2 - (38 + -37)) - (0 + 0)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1070 - -1375. What is the remainder when x is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q**4 + 0*q + 3*q**2 + 2\/3*q**3 + 0 - 1\/60*q**5. Differentiate m(s) with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505315?\nAnswer: 5, 101063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -206. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/243*-1*(-28)\/((-588)\/63)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -27*w**2. Let t(h) be the first derivative of -20*h**3\/3 - 22. Calculate a(t(k)).\nAnswer: -10800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/16 (b) -9 (c) 1.91 (d) -5\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498 = 60*a + 36*a + 422 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-216)\/32*16\/(-6))\/2. Suppose 3*n + 50 = 4*y, 7 = 3*y + 2*n - 22. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070631911 rounded to 5 decimal places?\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjajjjajmjjjjjajjjj. What is prob of sequence ma?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 5*z**4\/12 - z**3\/3 + 3*z**2 + 5*z. Let l(o) be the first derivative of u(o). List the prime factors of l(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 1568?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28371, -57112, -85853, -114594?\n\"Answer: -28741*v + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -73*k**3 - 2*k + 146. Let h(o) = -145*o**3 - 5*o + 294. Let g(m) = -2*h(m) + 5*t(m). Find the first derivative of g(a) wrt a.\nAnswer: -225*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 226*i - 27. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0635093 millennia to centuries.\nAnswer: 0.635093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 41.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(330)\/sqrt(6))\/sqrt(5))*-1.\nAnswer: -5*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/7*(-2884)\/1648.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272 - 275 - 215 - 4*y + 762.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 12. Give a(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213405007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooororpprppp. What is prob of sequence pop?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/104 - -2) + 35\/2145.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0*f + 0*f)*(f - f - 3*f**2)*(f + 0*f + 6*f) as z + a*f**2 + h*f**4 + d*f + t*f**3 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 11:34 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {p: 1, g: 5, a: 2, i: 4}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**6 - 2*f**4 + 2*f**3 + 4*f**2 + 2*f. Let w(h) = h**4 - h**3 + h**2 - h. Let m(g) = -n(g) - 2*w(g). What is the third derivative of m(q) wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2) + 0)\/(-15 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 19*q**2 + 37*q - 24. What is u(-16)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.2. Let s be (-3 + 105\/50)*80\/96. Which is the nearest to 1? (a) s (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1 + 3*a + 100*a**2 - 101*a**2 - 2*a. Let r(q) = -12*q**2 + 10*q - 5. Let h(c) = r(c) - 5*z(c). Find the second derivative of h(l) wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -645 - -7?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4)\/(-22) + 2\/12*-51. Do -9 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2206, 2206, 2196, 2170, 2122, 2046, 1936?\n\"Answer: -p**3 + p**2 + 4*p + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 4*w + 10117067*r - 10117071*r + 48, -w + 2*r + 16 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:46 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -308 (c) -26\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(4\/(-16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109 * 0.08\nAnswer: 8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:45 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4467.934 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*15*(-6)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 4*s. Let o(z) = z. Let t(f) = -d(f) - 4*o(f). Let v(w) = 27*w - 22. Let y(b) = 13*b - 10. Let h(a) = -10*v(a) + 22*y(a). What is h(t(n))?\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t\/((t*t*(t\/(t*t**5\/t*t))\/t)\/t))**2*((t\/((t*t**(-4\/5))\/t))\/t**(-9))**(-1) assuming t is positive.\nAnswer: t**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19938.9415 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 x when four letters picked without replacement from {m: 6, c: 3, x: 1, v: 5, u: 1, s: 3}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12931.09 millennia to months.\nAnswer: 155173080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -5, 4, -61, -1 in increasing order.\nAnswer: -61, -5, -1, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z + 9 - 9)*(3*z + z - 2*z)*(1 - 1 + 2).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/21 - (4 + 20\/(-10)). Let h = -0.7 + 0.2. Let m = -14 + 13.7. What is the nearest to w in 4, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 316*i**2 + 1. Let u = -11 - -14. Suppose 0 = -3*r - u. Is p(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17551 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-25 - -23 - (-1 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, e: 4, p: 2}. What is prob of sequence pepe?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-17822)\/(-76))\/(-67) + (-1)\/5*(-1525)\/2\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.189528 rounded to the nearest integer?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226130?\nAnswer: 2, 5, 322613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -17, -2, 29, 82, 163, 278?\n\"Answer: v**3 - v**2 + v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 18 - 4 = 0. Let u(o) be the second derivative of -5\/3*o**3 + 0 + 7*o + j*o**2 + 2\/3*o**4 - 1\/10*o**5. Determine l so that u(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 36*b**2 + 38*b + 102. Let z be s(-37). Let o = 79 - z. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 78. What is c(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -191746169 + -0.043479\nAnswer: -191746169.043479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g = -196 + 820 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3069526?\nAnswer: 2, 19, 80777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/((-2)\/(-12)). Let z be ((-30)\/9)\/(6\/y). Is z <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2627 - -2622. Let v(c) = 23*c**3 - 5*c**2 - 5. Let z(x) = -518*x**3 + 112*x**2 + 112. What is f*z(s) - 112*v(s)?\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 189. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669894315 a multiple of 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(405) + -1 + sqrt(405)*2 + sqrt(405) + sqrt(405) - (5 + sqrt(405) + 0 - sqrt(405)) - (sqrt(405) + 2)*2*-4)**2.\nAnswer: 2340*sqrt(5) + 68547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/(615\/(-4100))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 (base 6) in base 16?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 50, 53, 58?\n\"Answer: m**2 - 2*m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (-20 + -16 - -4) - (0 + -2 - 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 290396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(7)) + sqrt(7) + -3.\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 122 + 17163*m**2 + 233 - 17166*m**2.\nAnswer: -3*m**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107302 + -237?\nAnswer: -107541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*o**6 - 1616*o**2 + 2?\nAnswer: -18000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70109420329 from -0.84.\nAnswer: -70109420329.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 6:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + 165. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 146268?\nAnswer: 585072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 23. Calculate the remainder when t is divided by (10\/(-7))\/(6\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/46, -4, -11.373, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74732 and 714.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 62 = -52*j + 32 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -59*m - 2. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -25245\/7 and 55.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012 + 11?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -257 + 422. Suppose 10*d - i = 195. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/11, -1, 1, 3, 0.4.\nAnswer: -1, 0.4, 1, 20\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 964 + -1.300158\nAnswer: 962.699842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6354136.6 rounded to the nearest ten thousand?\nAnswer: -6350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + 3. Let b(t) be the second derivative of -t**5\/5 - t**4\/6 - t**3\/3 + t**2 + 2*t. Let i(l) = 5*l**3 + 3*l**2 + 3*l - 3. Give d*i(z) + 3*b(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4 - -1)\/(375\/100). What is the nearest to 0.1 in -4, l, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 35*q + 209. Let i be r(8). Let p(d) = -34*d**2 - 7*d - 7. Let t(z) = 17*z**2 + 4*z + 4. Calculate i*t(n) - 4*p(n).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -611*m + 6. Let x(s) = 613*s - 8. What is -4*v(q) - 3*x(q)?\nAnswer: 605*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*2*2*(2 + sqrt(12)).\nAnswer: 42 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -16*j + 217. What is the tens digit of j\/(-84) - 6513\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124.98 - 130.997. Let k = j - -0.017. Which is the third biggest value? (a) 0.1 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + m)*(1 - 1963*m + m**3 + 1 + 2018*m)*(2*m - 2*m - m).\nAnswer: 3*m**5 + 165*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*p**2 - 17 - 7*p**2 + 12 + 10 + 33*p**2 as u*p + w + h*p**2 and give h.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - x + 46 = 0, -5*t - 34 = -6*t + 2*x. What is the greatest common factor of 266 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234 + 65. Let c = h + 181. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 9*d**2 + 4. Let c be x(9). Suppose 4*z - 7 = t + 72, 0 = c*t - 4. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108252641053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 25 - 41. Let x be (0 + -16)\/((-12)\/(-18)). What is the tens digit of ((-34)\/j)\/(3\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48233895 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/12 + n**3 - n**2\/2 + 55*n - 66. Let b(x) be the first derivative of u(x). Give b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 669.1 and -4938700?\nAnswer: 4939369.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, d: 4, v: 2}. Give prob of picking 3 k.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114 - 90) + -4 + -1 + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 75*y - 30. What is n(-75)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 87 = 0. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**29)**37*d**(-1\/3)*d\/(((d**5\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(3326\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160177 + -239674. What is b rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3964037508 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.5*-2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, p: 9, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 564 + -951. Let p = j - -386.9757. What is p rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4325087968 to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*-3*18\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-6))\/((-13)\/(-26))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2180\/1526)\/((104\/(-8))\/(-546))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -3, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 582, -0.08, 22, 0.1, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 524 divided by 4\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 1, p: 3, b: 3, g: 3, x: 2}. Give prob of sequence npxb.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:37 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 17*c = -22*c + k - 6 - 2, 2*c = 5*k - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*j**2*u**4 - 221*j**2 + 2*j*u**4 - 4*u**2 wrt u.\nAnswer: -68*j**2*u**3 + 8*j*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 65, 4, -3\/4.\nAnswer: -5, -3\/4, -0.1, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-170) - (-1485476962)\/323. What is c rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let l(a) = 0*a - 15*a + 23*a - 16*a. Give l(g(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1690652855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85858126 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -47, -16, 35, 112, 221, 368, 559?\n\"Answer: t**3 + t**2 + 7*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:39 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2))\/((z\/(z\/(z**(3\/7)\/z)*z*z))\/z) assuming z is positive.\nAnswer: z**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 627, 610, 589?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180829817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 383926243 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + 6*j + 93, 471*v + 79 = 466*v + 2*j for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*s = 295*s + 1863 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201 - 366*f - 1646*f - 201)*(-3 + 1 + 0).\nAnswer: 4024*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 5*f**2 - 9 - 3*f + f + f**3. Let c be o(7). Let z = 87 - c. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from eeeeeiiiieeie.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 51009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 327494*q**4 - 1783343.\nAnswer: 1309976*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 921 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0176 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 206\/(-10) - (43 - (-1278)\/(-30)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/(o*((o**(-33)*o)\/o*o)\/o*o)*o*o))\/o)\/o*o\/((o\/(o**(9\/2)\/o))\/o))**21 assuming o is positive.\nAnswer: o**(-1239\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 459\/15 - 2\/(-5). Let z = l + -14. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2502938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = -5*l, 77*l = -6*a + 74*l - 56 + 14 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(5\/4)\/c*c*c))\/(c*c*c\/(c*c**(-2\/5))))\/(c**0*c)**16*(c*c*c**4*c*(c\/c**(2\/13))\/c*c)\/((c*c*c\/(c\/c**(-5))*c)\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-2679\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 11309 = 3*a - 12*z, -2*a - 4*z = -7536. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - 2250\/(-14). Suppose -4*h - 106 = -5*y - 7*h, 84 = 3*y - 5*h. What is the highest common factor of j and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) -920 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -143*h. Let z(q) be the third derivative of -q**6\/360 + 11*q**3\/3 - 79*q**2. Let g(n) be the first derivative of z(n). Determine m(g(l)).\nAnswer: 143*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101122224 (base 5) to base 10\nAnswer: -410939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 32*f**2 + 0*f + 5\/3*f**4 + 0 - 1\/3*f**3. Let y(l) = 2*l**2. What is y(x(j))?\nAnswer: 3200*j**2 - 320*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*v = 11, 0*x = -2*x + 4*v + 20. Suppose 0 = -5*u + 2*u + 24. Calculate the lowest common multiple of x and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135669918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/10 - (-51 + 118020\/2450). Factor q*x + 4\/7 + 6\/7*x**2.\nAnswer: 2*(x + 1)*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16388477*g**5 + 4594350*g**2 - 3*g wrt g?\nAnswer: -983308620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 + 522. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/2 - (6 + -5). Let w(h) = 5*h**2 + 1110 - 1111 + 2*h**2 - 2*h**2 + v*h. What is the hundreds digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815\/12 + -68. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*k + 4, -5*k - 3*k = -23*f - 5*f - 105 + 297 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 12 - 11*r + 9.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10986 or -10989?\nAnswer: -10989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 386923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -24959, -2, -2313, 3 in increasing order.\nAnswer: -24959, -2313, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 4*b - 92 + 16, -88*z - 122 = -2*b + 7*b - 8*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4136 divided by 188\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50611919 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**5*s)*s))\/s*s*s**(-4\/3))\/((s**(2\/3)*s)\/s)**(-2\/33) assuming s is positive.\nAnswer: s**(367\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 487, 513, 539?\n\"Answer: 26*n + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51012010123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 370. List the prime factors of k\/1 - (-2 + 5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7226128.\nAnswer: 2, 7, 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(119))\/sqrt(7) - (3*sqrt(204) + sqrt(204))\/sqrt(12))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732 and 355993926?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 54\/11 (b) 701 (c) -0.5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 3*v + 3. Let n(l) = -2*l + 17. Let f be n(8). Let r(j) = j**2 + j - 1. Calculate f*d(z) + 5*r(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4913166615?\nAnswer: 3, 5, 7, 61, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7209.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12222012212 (base 3) to base 16.\nAnswer: -1cb17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/15)\/(2\/18). Let p be (-10)\/(w - (-14)\/6). Suppose 0 = -3*x + p + 18. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 21*i + 14 - 192, 7*g + 5*i - 2*i - 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1008 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -784*s + 69. Let v be 10\/(-15) - 128\/(-3). Suppose 3*o + v = l, 0*l - 30 = -l - 3*o. Calculate the remainder when m(0) is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and 1427136.\nAnswer: -72783936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 60.5782 grams?\nAnswer: 60578200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmm when three letters picked without replacement from kmoqmbmmmkqmmmb?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -23*y - 152. Let h be z(-7). Calculate the highest common divisor of h and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + (-488)\/(-56). Suppose -2*t - 5*s = 3 - 12, 0 = 4*t + s + 27. Let c be 3\/n - t\/30. Is 1 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -15?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:09 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/5, -2\/21, 5\/3, 0.9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -13, -9, -5, -1?\n\"Answer: 4*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6628 - -6622. Let u(m) = -448*m - 89 + 193*m - 853*m. Is u(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24193890 divided by -4518\nAnswer: -5355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 6*f - 8. Let s be n(3). Is -1\/40 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9134975*r**2 + 76*r - 114383.\nAnswer: -18269950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*d**3*i - 13*d**3 - d*i - 1034*i wrt d?\nAnswer: 51*d**2*i - 39*d**2 - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -6.\nAnswer: 110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v + 7. Suppose 3*l + 156 = v*q, -3*q = -5*l - 48 - 52. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7727239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -17*r + 58. Let u(b) be the third derivative of 0*b**5 + 0 - 4\/3*b**3 + 1\/24*b**6 + 0*b + 0*b**r - 6*b**2. Differentiate u(n) wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2. Let b(f) = f + 21. Determine s(b(d)).\nAnswer: 6*d**2 + 252*d + 2646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let t = i + -2.5. Let l = t + 1.5. Which is the third smallest value? (a) -0.5 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 333516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 257*t**2 - 274*t**2 + 5 + 509*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -13. Let r be s\/(-4)*(-16)\/6. Find the third derivative of 0 + 4*z**2 + r*z**3 + 0 wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - h + 8. Let s be c(-7). Let o = 392 + s. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -1.5649?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 183 in decreasing order.\nAnswer: 183, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426816*s**2 + 0*s - 533965*s**2 + 0*s.\nAnswer: -960781*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4315 (c) 3 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 5)*(f + f - 4*f) - 3*f - f + 3*f)*(4 - 4 - 3 - f).\nAnswer: 9*f**2 + 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 26. Suppose -311*y - 2133 = -74*y. Determine o(y).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 0)*(3*v**5 + 3*v**5 - 4*v**5) + (-4*v**3 + 3*v**3 - v**3)*(7*v**2 - 3*v**2 + 0*v**2).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39526 + 182*w**2 + 16*w**3 - 2*w**4 - 39526 to the form s*w**4 + y*w + h + g*w**2 + d*w**3 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*(282\/329)\/(3\/(-98))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3629.\nAnswer: 5\/3629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 - 93) + (0 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -42 (c) 8 (d) -149 (e) 0 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12456235*d**3 - 3742839*d**2 wrt d.\nAnswer: -74737410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 842797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhzh. Give prob of picking 1 z and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*45*12\/(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-88)\/(-12) - 4)*3. Solve 2 = 2*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/13)*m**(4\/9)*(m\/m**(1\/6))\/m*m**(2\/31)*m assuming m is positive.\nAnswer: m**(8063\/7254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/33 + -94\/231. Let y = -0.1 + 0. Let g = y + 0.2. What is the nearest to m in 2\/9, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387340?\nAnswer: 2, 5, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 2*m, -2*w = 5*m + 8. List the prime factors of ((-3)\/4)\/(w\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + t**2 + t**2)*(2954 - 1367 + 4338)*(4*t**2 + 4*t**2 - 6*t**2) to f + z*t**3 + i*t**4 + q*t + g*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(77) - (sqrt(77) - -2*sqrt(77)*-4) - sqrt(77))\/(sqrt(22)\/(sqrt(8)\/sqrt(4))).\nAnswer: -168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13417*-67317.\nAnswer: 903192189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + z - 1. Let l be s(1). What is the units digit of ((-2)\/(-2))\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 791 - 761. Calculate the remainder when 59 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61553 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178.1 - 15.1. Let c = k - 175. What is the closest to -3 in c, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 - 2*z + 5. Let h be a(0). Let g = -15 - -24. Solve g = h*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 20 - 16 = 0. Suppose f = -4 + t. Solve -5*x - f*h + 5 = 20, -x - 5*h = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:52 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 5*b + b - 4 + 4 + (-2*b - 2*b + 6*b)*(2 - 2 + 2) + 0 + 2*b + 0)*(2 + 3 - 2).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-3)*p\/p**1)\/(p*p**(1\/3)*p)**(-39)*(p**1)**(-14)\/(p**0\/(p*p**(-3))) assuming p is positive.\nAnswer: p**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - i + 1 = 4, -3*s + 3 = -2*i. Suppose 2*l - s = 11. Let q(m) = 21*m**2 - 1. Let x be q(1). Solve x = 2*h - l*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1132, 9029, 30508, 72379, 141452, 244537, 388444, 579983?\nAnswer: 825964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 3*c = -7*v + 9 + 30, 42 = 3*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*y - 18, 3*c - y = 26. Solve 24 = -c*o - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/109, 206, -2719 in decreasing order.\nAnswer: 206, 2\/109, -2719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-21))\/(-1))\/((-9)\/(-63)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116 + 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/9))\/p)\/(p**(-4)*p*p))\/(p**7*p**2)*(p\/(p**(-2\/3)\/p))**15\/(p\/(p*p*p**(-1\/3)\/p)*p**(1\/3)\/p) assuming p is positive.\nAnswer: p**(298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*r**2 + 7*r - 9*r + 74*r**2 - 16*r**2 to the form w + z*r**2 + y*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1372.268 + -2.035\nAnswer: -1374.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11034242 + -141?\nAnswer: -11034433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 37. Suppose -5*q - 6 = -3*l - 14, -l + 4 = 0. Solve m + j = q*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:38 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 28*x + 4. Let v be p(0). Solve 5*b = v*o - 3, -3*o = -5*o + 2*b + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -35 + 7*q + 35. Let w(k) = 2*k. Give j(w(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - 4 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16\/7527 - 104019\/245882. Find the common denominator of -145\/42 and h.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 18.1. What is the closest to -1 in i, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118087.4 litres to millilitres.\nAnswer: 118087400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let p(n) be the first derivative of 1\/3*n**6 + 0*n**4 + 0*n**3 + 0*n**5 - 1 + j*n - n**2. Find the second derivative of p(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144.4 - 142.2. Suppose -n = -i + 3*n - 16, -3*n + 23 = 2*i. Put -1, i, z in descending order.\nAnswer: i, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1600, 2 in descending order.\nAnswer: 1600, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1960*p**2 - 3632*p**2 + 1672*p**2 - 784*p**3.\nAnswer: -784*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghhjhglqtgghjht. Give prob of sequence tlq.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0\/(-5) + 14. Suppose -3*y - 7 + 0 = -q, -5*y + v = 0. Solve -a = 2*a + 5*z - 32, -a - 3*z = -q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597729 at least as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10309 is divided by 2016?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 713\/4 + -6397\/36. Find the common denominator of g and 3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203414107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 29 = -69. What is the smallest common multiple of z and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 2. Let y be p(-2). Let t be 4 - 2*2\/y. Suppose -n = t*n. Solve -4*z = -w + 3, 4*z = 2*w - n + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 2405, 5407, 9609, 15011, 21613?\nAnswer: 29415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 10. Let q be n(-8). Let y(k) = -2*k + 5. Let o(w) = 3*w - 6. Let j(p) = 5*o(p) + 6*y(p). Give j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from vfrqffqfqqffqqcqqcqq?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, -302, -453, -604?\n\"Answer: -151*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 92 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4.43919\nAnswer: -17.75676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-2 - -4))\/(-1). Let d = 35 - 32. Put u, d, 5 in ascending order.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -6 (b) 1\/213 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*r + 19 - 19)*(-2*r + 2*r + 2*r**2)*(-14*r + 10*r + 30*r).\nAnswer: -1040*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12660?\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**5 - 1 + c + 15*c**2 - 15*c**2 - c**5 + 2 - 2 + (2*c + 4 - 4)*(0*c**4 + c**4 + c**4) + c**2 - c**2 - c**5.\nAnswer: 7*c**5 + c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 29. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 9*f - 735. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(11*k - 3*k + 7*k)*(0 + k + 0 + (0 + 0 + 1)*(-3 - k + 3) - 1 + 3*k + 1).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:28 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 6, p: 2}. Give prob of picking 2 e and 1 q.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1330203143 - 10?\nAnswer: -1330203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2368315067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 at least as big as 19174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-12)\/(-9) + -1). Let q be (8\/12)\/((-1)\/(-1)). What is the biggest value in -0.2, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 0.215, 0.07, -3.9, 3?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 68390000 to the nearest 100000.\nAnswer: 68400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h - 5. Let u(a) = -1 + 1 - 2. Let s(p) = -1. Let q(t) = -5*s(t) + 2*u(t). Suppose 803045*i - 803041*i + 24 = 0. Determine i*q(c) - m(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 20*r**4 + 21*r**2 + 2537*r - 2 wrt r?\nAnswer: 20*r**3 - 240*r**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyawyywwwwwwawwy. Give prob of sequence ay.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 157 = 212. Let n = -49 - -50. Which is the closest to 0? (a) -2 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8216 divided by -8\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 2833 - 2969 + 5797.\nAnswer: 7*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-517)\/(-77) - (-4)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 0*x**3 - x**3 + (3*x**3 + x**3 - 2*x**3)*(-33 - 233 + 62).\nAnswer: -406*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -189. Suppose -2*d = w - 482. What are the prime factors of d?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-33)\/(f**5\/(f\/f**(-6)))*(f\/f**(1\/4)*f**(-3\/4))\/(f**6*f**(-1\/4)\/f*f) assuming f is positive.\nAnswer: f**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605 divided by 761847?\nAnswer: -535\/253949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:02 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10957 - 10953. Which is the closest to y? (a) -2 (b) -4 (c) -0.5 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -378679*g**2*k - 2630*g*k - 7*k - 6 wrt g.\nAnswer: -757358*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2\/13, -3, 79\/20, -5\/4, 46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6652613869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from {u: 4, m: 16}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 43096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1. Let r(n) = -3*n + 1. What is 3*h(p) + r(p)?\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 + 59*k + 113. Let g(y) = -4*y**2 - 20*y - 38. Let d(t) = -8*g(t) - 3*m(t). Determine d(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 45*o - 4937. Let j be x(115). Suppose -q - 14 = -2*q. What is the greatest common factor of j and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4.07. What is the closest to -1 in -5, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/7)\/(v\/(v*v**(-2\/5))))\/(v**(-8)\/v*((v*v**(-2\/7))\/v)\/v))**(-21) assuming v is positive.\nAnswer: v**(-1053\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3311248 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74946 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 6. Is 4\/y + -4 + 11485\/45 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/6 + 4*h. Let s(k) = 9*k**2. Determine s(l(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970886471.\nAnswer: 1187, 817933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -373.\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22124 rounded to the nearest 100?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-5 + sqrt(17))**2 - (sqrt(34)\/sqrt(2) + -5)**2.\nAnswer: 10*sqrt(17) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1821369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5637 - -8333. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-9 - -2) + -8 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*m**2 + 26*m**2 - 44*m**2)*(9779 - 9779 + 14*m).\nAnswer: -994*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150010 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 364606*d - 1823066. Give h(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**4 + d. Let m(s) = -72*s**4 - 4*s - 33. Let o(x) = -4*a(x) - m(x). Differentiate o(t) wrt t.\nAnswer: 320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*j**2 + 955*j + 315.\nAnswer: 5*(j + 7)*(26*j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152004 by 12.\nAnswer: -12667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = b + 4*r - 10, -5*b + r + 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((3\/15)\/(-1))\/(16\/(-110)) and ((-4)\/(224\/212))\/3.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 13*g - 62. Does 32 divide i(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 16*l + 10*l = 540 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 90. Let z be f(-21). Let l = z - 108. Suppose 5*w - 8 = 4*w. Solve -7*b + w = -l*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 538086083*q**2 + 860936541.\nAnswer: 1076172166*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3)*-1 - (-11)\/(1001\/(-112)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 345962\nAnswer: -69192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*197\/1970?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 25*w + 52*w + 74*w - 2.\nAnswer: 159*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5 - 3*k**4 - 10*k**3 - 2*k**2 + 9*k + 5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2*d**3*g + c**2*d**2*g - 857*c*d**3*g**2 - 6*c*d**2*g + 6*c*d - d*g**2 wrt d.\nAnswer: 6*c**2*g - 5142*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11210222 (base 3) in base 8?\nAnswer: 6665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -79. Let l = -129\/2 - u. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 0*g - 5*g)*(-5*g**2 + 3*g**2 - g**2) + 305*g + 311*g - 13*g**3 + 2*g**2 - 615*g to the form n*g + h + o*g**3 + w*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5599853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o**2 + 1. What is the units digit of k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2319307.8 to the nearest 10000.\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -468817 and -3?\nAnswer: 1406451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 46102356.\nAnswer: 138307068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -33 + 15 + 18 + 2*m. Let q(r) = -2*r. What is q(k(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 293 = 233 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 85. Let f be l(10). Suppose 12*x - 7*x = f*j + 5, 4*x = 3*j + 7. Solve 0 = -3*u + 9, 7*p - u = 6*p - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/20*10\/(-2). Suppose 0 = -j + x*j - 96. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541710338?\nAnswer: 2, 13, 17, 1225589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.51, 2, -23, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 10*m + 10. What is the common denominator of (-82)\/(-8)*(-1)\/7 and -1 - ((-575)\/60 - m\/3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*s - 4, s + 2*x + 1 = -3. Suppose s = 2*w + 2*w. Let a be (-57)\/35 - 1\/(-5). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -78*q**5\/85 + 5119*q**4\/34 - 12758*q**3\/51 + 1169*q**2\/17 + 260*q\/17 - 7508. Solve k(s) = 0.\nAnswer: -1\/13, 1\/3, 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -221*k. Let g(o) = 169*o**2 - 30*o + 31. What is v(g(h))?\nAnswer: -37349*h**2 + 6630*h - 6851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68813782 is divided by 234?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.1 and 0.10062?\nAnswer: 6.99938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14cacc (base 14) to base 12\nAnswer: -2b0564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21892 and 469836.\nAnswer: 6107868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1268, 2383, 3484, 4559, 5596?\nAnswer: 6583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + a - 0, 4*n = 4*a - 4. Suppose -n*k = 2*k - 132. Let h = -23 + k. Calculate the lowest common multiple of 9 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k - 21. Let b(w) be the second derivative of -17*w**3\/6 - 16*w**2 + 7953*w. Give 8*a(y) - 5*b(y).\nAnswer: -3*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 4*k = -k - 132, -18*d = -22*d - k - 33 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42074*m*s**5 + m*s*t - 5*m*s - 4904*m*t + 3*m - s**3*t - 5*s**2*t wrt s?\nAnswer: -841480*m*s**3 - 6*s*t - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6423*2932.5\nAnswer: -18835447.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 3*c**2 - 3*c**2)*(-9 + 4 - 5) as n*c + q + v*c**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 2. Let z be d(-8). Suppose -23*g - z = -98. Factor 0 - 4\/5*a**2 + 6\/5*a**3 - 2\/5*a**g + 0*a.\nAnswer: -2*a**2*(a - 2)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 10*g**2 + 982*g - 1006. Let x(l) = -2*l**2 - 196*l + 201. Let t(o) = 3*k(o) + 14*x(o). Factor t(v).\nAnswer: 2*(v - 1)*(v + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 4, 2\/17, -0.14888, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + (-8 - -3) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 25102.\nAnswer: -5\/25102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c4a527 + -2?\nAnswer: 5c4a525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - 119. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -19. Let a = -9525 + 9528. Solve -m*v + 2 = -a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**3 + 4*t**2 - 4*t + 5. Let g be n(-4). Let d be (-2)\/(-13) - 3022\/g. Let u = -4663\/506 + d. Calculate the common denominator of u and 41\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28 = -4*y, -4*y - y = 4*s - 30. Suppose -f + y*b = -94, 4*f + b - 4*b - 361 = 0. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.084899 decades to millennia.\nAnswer: 0.05084899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.826535?\nAnswer: 0.9132675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -50?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 2*q - 2. Let c(z) = -z**2. Let h(i) = -4*i - 21. Let v be h(-4). Calculate v*c(p) - x(p).\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 94*b - 187. What is a(0)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 11*h - 2. Let l be d(-13). What is the common denominator of 103\/42 and (-154)\/l*14\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 16) to base 14\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242360 divided by -177480.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -62 (b) -5 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 (base 9) in base 14?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9 + 8332*v + 8315*v - 23 - 16597*v.\nAnswer: 50*v - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (3 - (-5 - -5)). Let q(j) = -7*j. Calculate the lowest common multiple of q(-1) and (9*(n + 5))\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(432)*3*4)**2.\nAnswer: 5038848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*284 - 6\/3. What is the derivative of -270*k + g*k + 0 + 2*k**2 - 4 wrt k?\nAnswer: 4*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + s - 584 = 0, -16 - 88 = y + 3*s. Let k = y - -207. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, 2, -2, -160 in ascending order.\nAnswer: -160, -3, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1332)\/243)\/((-12)\/9 + 2) and (3 - 6)*(-43)\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(7268\/(-253) + 23 + 6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 42, -4, -2\/3, 3, 77?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -y - 8 - 1, -3*y = 5*k - 6. Let o be (-26*5\/(-25))\/(k\/15). Let w(m) = 9*m + 17*m + 29*m**2 - o*m. Let u(t) = -3*t**2. Give u(w(x)).\nAnswer: -2523*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/3 - 23417*s**2\/3 - 147091595*s\/3 - 114894247675\/3 = 0.\nAnswer: -11255, -907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((1 + sqrt(2736) + 3 + (sqrt(2736) - (sqrt(2736) + 0)) + 2)*-2 + 4)**2*4.\nAnswer: 27648*sqrt(19) + 792576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + h = 28200000. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7980 and 3661680?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925570033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-2\/31)))**(2\/7)\/(t**(7\/4)*t*t)**46 assuming t is positive.\nAnswer: t**(-74981\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -2*j**5\/5 - 4*j**3 + 3*j**2 + 5458*j - 2680. What is the derivative of h(x) wrt x?\nAnswer: -8*x**3 - 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 - 12*m**2 - 5*m + 4. Let j(x) = x**3 - x**2 - x - 1. Let n(q) = 6*j(q) - y(q). Let i be n(-6). Sort -3, 0, i, 3 in descending order.\nAnswer: 3, 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*v + 40*v = 136*v. Which is the nearest to 99? (a) 2\/9 (b) -3\/2 (c) -2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 18 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2433*t - 13 = -2432*t, -t - 9 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11382, 11383, 11384?\nAnswer: 11385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*t + 486 = -285 - 1350. Calculate the highest common divisor of t and 3661.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788898747.\nAnswer: 2788898747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 2*a + 5*s, -3*a - 4*s - 4 = 0. Solve -2*g + 3*d - 7 = a, 2*d + 3*d - 12 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by -5\nAnswer: -97\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -39 - 297. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101078987, -202157969, -303236951, -404315933, -505394915, -606473897?\n\"Answer: -101078982*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeiieieeeiii. What is prob of sequence eiie?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 2*m + 3*x, -5*m + 3*x = -22. Suppose -o + 5 = -0*o. Calculate the lowest common multiple of m and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 532\/560 - (-2)\/(-10). Let a be 39\/(-18) - (1 - 3). Let m = 6.8 + -7. What is the second smallest value in m, a, r, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.4289 to two dps.\nAnswer: -12.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -58.01\nAnswer: 11.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = -c, -5*b + 8 = 3*c - 13. What is the second derivative of -57*r**2 - 10*r - c*r**5 + 57*r**2 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 11*w**3 + 11*w**2\/2 - 31*w. Differentiate v(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*(7093\/346)\/41)\/(14\/(-8)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 - (2 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5 + 11*y**2 + 24*y - 8*y**2 - 5*y**2 to the form t*y + z*y**2 + l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374344790 to the nearest integer?\nAnswer: 19348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 25362*w**2 - 339*w - 13 - 7.\nAnswer: -25362*w**2 - 339*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q**3 + 1 + 0*q**3 - 1 + 80*q**3.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*h + 10500006, 4*h + 0*h = -4*b - 13999992. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -4. Suppose -j = c - 14, -c + 0*c + k = -3*j. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25525868*p**3 + 374027*p + 4.\nAnswer: 153155208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 300780.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (-132 - -108 - -84).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 5*o**2 + 3*o**2 + (44*o - 7*o + 11*o)*(-1 + 1 - 6*o + 1).\nAnswer: -293*o**2 + 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 2*z - 14, 3*s + 3*z + 6 = 0. What is the second biggest value in 1, -2\/7, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 661 (c) 4\/5 (d) 3 (e) 301\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -13. Let h(c) = c**2 - 4*c + 2. Let i be h(3). Sort 5, o, i.\nAnswer: o, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -367949*o - 496. Is u(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16226 - 2?\nAnswer: 16224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*r**2 - 147*r**2 + 14*r**3)*(-2*r**2 - 5*r**2 + 10*r**2 + (2*r + 1 - 1)*(-4*r + r + 5*r)).\nAnswer: 98*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19122022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2*m + 1. Let l be r(2). Let k = l + 2. Suppose 2*c - 4*i = 0, 0*c + 3*c - i = 5. What is the closest to 0 in c, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*n + 5*j, 39*n - 40*n - 3*j + 26 = 0. Solve -31*k - 153 + n = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8940 and 2130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(384)\/sqrt(8))\/sqrt(12)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45114 and 55626?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 19*o**2 + o**2 + 10*o**2. Let g(v) be the third derivative of -v**5\/20 - 2*v**2. What is d(g(b))?\nAnswer: -45*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115381007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bf - 0?\nAnswer: -1bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930699031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71838 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2789 + 105*g - 2789 + 152*g + 417*g in the form n + j*g and give j.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {m: 1, q: 2, u: 1, h: 3, v: 8, s: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*2 + 314 + (-21)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -39. Calculate the least common multiple of l and (-1)\/(-1)*(19 + -5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1150747 - 1150744.299795. Let g = 2.498 + 0.202. Let b = l - g. Round b to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54471 or -54593?\nAnswer: -54593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784 - 83*s + 449 + 335.\nAnswer: -83*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 7*g - 1752 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - 137826\/63. Let s = -1517 - i. Is 5*(s\/5 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105 from -0.0511683315444.\nAnswer: 104.9488316684556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 579460467 to the power of 1\/2, to the nearest integer?\nAnswer: 24072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 6) to base 13.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/a*a**(-2)*(a**1)**(-24\/5) assuming a is positive.\nAnswer: a**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l*w**3*x**2 - 2*l*w**3 + w**3*x**2 + 2*w**3*x - 3*w**3 - 2*w**2*x - 12*x**5 wrt x.\nAnswer: 6*l*w**3 + 2*w**3 - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 52 - 4) + -2. Solve -16*t + x = 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:03 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/13, 4\/9, -5, -129.\nAnswer: -129, -5, 4\/9, 36\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -5346\nAnswer: 16038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*3)**2*-1 + (5*sqrt(5) + 1)*-4.\nAnswer: -2884 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/4 - 2*i**3\/3 - i**2 - 4*i - 15. Let s be k(-2). Determine n, given that s*n + 1\/2*n**2 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/23071 and 137\/6.\nAnswer: 138426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332605 is divided by 443873.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809 + 1139*o**2 + 809.\nAnswer: 1139*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -6, 3, 4 in descending order.\nAnswer: 4, 3, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 43*a**2 - 205 + 70 - a**3 + 0*a**3 + 61 + a + 18. Calculate b(43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 4*s + s + s**2 + 8. What is the units digit of i(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -115100?\nAnswer: -115100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 39 = o - 4*o, -3*o - 1 = 5*g. Suppose 2*d + 3 = 7. Suppose -2*i + o = -4*m, -d*m + m = 3*i - 5. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 18 = q - 4, -5*q - 22 = p. Let o be p*2\/16*-24. Solve -o*g + 4*g = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 31 - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 8 + -6 - (-1 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 7*f + 4. Let y be u(-6). Let b(p) = -p**3 - 2*p**2 - p + 2. Let j be b(y). Is (-1 - -95) + (j - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - (-21)\/(-9). Calculate the common denominator of 3\/r*(-2)\/36 and (-7 - 2796\/(-396))*-43 + 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16)**(4\/23)*j**(-14)*j**(-23) assuming j is positive.\nAnswer: j**(-787\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let t = v + -4.4. What is the second smallest value in t, -5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26622, 31538, 44880, 70860, 113690, 177582, 266748?\n\"Answer: 702*j**3 + j**2 - j + 25920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25725 and 1078?\nAnswer: 565950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-1 + (-13)\/11). Let n = -5026\/3 - -1676. Sort n, 2, s in ascending order.\nAnswer: s, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -99 - ((-15)\/(-15) - 3). Let f = -171 + -14. Let g = i - f. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 644692 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 2*m - 21. Let c be w(0). Let g = c - -31. What is the remainder when 42 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/210 + a**6\/75 - a**5\/100 - a**4\/30 - 9*a. Factor t(b).\nAnswer: b**2*(b - 1)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5*y + 25223*n**2*y**3 - 2*n*y**2 + 488*n*y - y**3 - 3*y wrt n.\nAnswer: 40*n**3*y + 50446*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -45.93. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15050, 30099, 45144, 60185, 75222?\nAnswer: 90255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 87528093, 175056184, 262584275?\n\"Answer: 87528091*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397 - -397. Find m, given that 2\/7*m**3 + 0*m**2 + 0 + 2\/7*m**5 - 4\/7*m**4 + w*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:58 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - -60) + -99 - 38?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*s = 5*h - 29, 0 = h + 2*s + 6. Suppose h*z - 4*y = 24 + 4, 0 = -2*z - 5*y - 7. Solve 6 + 10 = -z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w**3 + w**2 + 2*w + 1. Let y be ((-15)\/10)\/((-2)\/(-4)). Let s be 1*y\/((-3)\/(-1)). What are the prime factors of g(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47121.\nAnswer: 3, 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/17 - (-3182)\/(-2193))\/(2880\/(-32400)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 3\/2*v**2 + 3\/5*v**5 + 0*v**4 + 0*v**3 - 3 + 0*v. What is the second derivative of y(d) wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o**2)*(14*o**2 + 24*o - 24*o) - 73*o**3 + 19*o**4 + 73*o**3.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1888 + 62306\/33. Put -0.06, 3\/2, n in descending order.\nAnswer: 3\/2, n, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -19.5. Let t = b + 1.7. Let k = -257\/2 - -131. What is the nearest to 0 in k, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 + 4 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 379718299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -670 - -667. Sort 0.3, u, 3 in increasing order.\nAnswer: u, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3034921 and -1.5.\nAnswer: -4552381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + 3*s**3 - 5*s**3 - 4*s**3 + 2*s**3 + 4*s**3 + (-2*s + 5*s - 2*s)*(5*s**2 - s**2 - 2*s**2) + (-s + 2 - 2)*(-s - 2*s**2 + s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - p + p + 13*p**2 + 34*p**2 - 32*p**2 + (3*p**2 + 2*p**2 - 4*p**2)*(-2 + 4 + 0).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260.2*0.3.\nAnswer: 78.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*k + 6*k**3 - 5*k**4 + 241*k + 4*k**4 wrt k.\nAnswer: -12*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x + 1654 = 0, 6*x = -4*l + x - 3309. Let w = -562 - l. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.03, -0.056, 3\/7, 0.4, 3\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -3. Let g = -76 + 43. Let y = g - -186. What is the greatest common divisor of y and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 9*j**3 + 5*j + (-j - 2*j + 2*j)*(0 - 1 + 2)*(0*j**2 + 4*j**2 - 3*j**2).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let f(v) = -27*v**2 + 2*v + 18. Let k(j) = -2541*j**2 + 189*j + 1701. Let d(r) = -189*f(r) + 2*k(r). Give g(d(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*0 - -3. Which is smaller: 5\/3 or p?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78788.363 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + sqrt(104)\/sqrt(392))*-1.\nAnswer: -16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 609521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 725.5 + -726. Which is the nearest to 77? (a) 1 (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/9 + 2*b**4\/3 + 10*b**3\/9 - 11*b\/9 - 2\/3 = 0. What is b?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 2. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 53*o - 13*o - o**2 - 18*o + 6 - 14*o. Determine v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112) + 1 - ((2*sqrt(1008)*4 - sqrt(1008)) + sqrt(1008))**2) + -4.\nAnswer: -64515 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + -0.3. Let q = 84.867 - 85. Let h = l - q. Round h to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56351, -56353, -56323, -56249, -56119, -55921, -55643, -55273?\n\"Answer: 2*n**3 + 4*n**2 - 28*n - 56329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.2, -26 in descending order.\nAnswer: 2, 0.2, -0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 247*z - 79*z - 17 - 2 - 85*z - 82*z. Let v(n) = -n + 19. Calculate -6*r(l) - 7*v(l).\nAnswer: l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 2.526 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 806 - 805. Which is bigger: -10\/159 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277 (base 15) to base 11.\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 2, 4, 32, 7 in decreasing order.\nAnswer: 32, 7, 4, 2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26367*b + 26366*b - 12 = 3*p, 1 = -2*p - 3*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 4*g + 10*i - 80 + 112, -2*g = -4*i + 28 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/45801 and -83\/130.\nAnswer: 5954130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/5 - 1263*b**3\/5 - 30946*b**2\/5 + 5052*b\/5 + 24760 = 0?\nAnswer: -1238, -25, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3362476 is divided by 480058?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -194, 4, 1872 in ascending order.\nAnswer: -194, 4, 5, 1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55432 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 15*w - 20. Let v(o) = -2*o**2 + 7*o + 10. Determine -6*f(a) - 13*v(a).\nAnswer: 2*a**2 - a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 1d3?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 57322078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.059 - 0.279. Let y = 0.08 - p. Let j = 0.8 + -3.8. Sort y, 3, j in increasing order.\nAnswer: j, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 463, 461, 459, 457, 455?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -76.8. Let i = l + 6. Put 0.1, 2\/7, i in ascending order.\nAnswer: 0.1, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 28 - 1)*(0*v - 2 + 4 - 2*v)*(-3 + 19 + 0) to p*v + g and give p.\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*a = -66*a - 49*a + 16212 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 8\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - aa?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k - 197027 + 1012195 = 0. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/22 < 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 + 597. Suppose -2*a + 6*a - b = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*v - 9*a + 328*v - 1233 wrt v.\nAnswer: -3*a + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 16*z + 3 + 17*z - 34*z.\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*f - 70, -4*q + 7*q = -2*f - 80. Let g = q + 33. Solve -g*x + 4*x - 14 = 3*b, 2*b + 14 = 3*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 632, 784, 808, 698, 448?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f - 168. Give o(-10).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b + 3. Suppose -2*w = -d, -5*d - 3*w = -w. Does 10 divide (d - 1)*(b - 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101880 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 - 6*z + 1. Let r be d(7). Let f be 14\/r + (-1)\/(-4). Suppose -12 = -5*l + i, -3*l = -5*l + f*i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -90. Let g(p) = 54*p**2 + 6*p + 43. Let t be g(4). Calculate the greatest common factor of o and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68*(-1352616)\/32 + 9. What is l rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 4\/270*65 and (-1818)\/(-60) + 4\/80*4.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 2*f**2 - 41*f + 44*f + 3. Let j(u) = -2*u**2 - 7*u - 7. Let a = 8 - 6. What is a*j(i) + 5*k(i)?\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2650 times 1\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.163857 millennia to years.\nAnswer: 9163.857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131148808 and 56206632.\nAnswer: 393446424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -121415 divided by 17345\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 33. Let q be (-30)\/(-12)*(2 + n). Let p(a) = a + 5. Let y(c) = 1. Give q*y(r) - 4*p(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 1886473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5483564 by 2741782.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuucu. What is prob of sequence ccu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 1\/2, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*h = 23, 2*g = g + 2*h - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 2 + (7 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 7. Let l = -18 - -21. Let z(b) = -2*b - 1. Let f be z(-3). Let g(n) = -2*n + 4. Calculate f*g(s) + l*o(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = n + 18, 4*i - 2*n + 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b + 4. Suppose 5*u + 5*k = 2*k + 367, 2*u + k - 147 = 0. Let l(v) = 75*v - 17 - u*v + 16. Calculate -4*l(r) - o(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 29 - 33 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 + 48899*z**3\/3 - 199251200*z**2 - 199267500*z.\nAnswer: -z*(z - 24450)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*n - 4490, -4488 = -4*r + 3*n + n. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2 - 7*j + 1. Let v(n) = -n**3 - 7*n**2 - 5. Suppose 3 = k + 2*l, l - 2*l = -k - 12. Let a be v(k). Calculate t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/60 + 9*r**4\/8 + 23*r**3\/2 - 2432*r**2. Calculate p(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 435*g**3 + 18*g + 22 wrt g.\nAnswer: 2610*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*w - 95 = 0, 4*k + 5*w + 9 = 87. Let i = -14 + k. Suppose -r = 2*v + i*v - 318, 2*v = 3*r + 117. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-152)*-146 - (-1 + 9\/36 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 65296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(14 + 4116\/(-288)))\/(7\/(-49))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 6*d + 6. Let i(h) = -h**2 - 16*h - 60. Let q be i(-5). Give l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/13165 + -7898\/13165. Which is the third smallest value? (a) t (b) -0.4 (c) -38\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 20*h**2 + 35*h - 20. What is c(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1981 = -m + 1983. Let a be 1\/(1*(-2)\/(-6)). What is the greatest common divisor of m and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*s - 14, 84*c + 73 = 82*c - s. Suppose 2*d - 6*d = 432. Let i = c - d. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) -2 (c) 0 (d) 0.1 (e) -2\/7 (f) -11\/261 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6370858 is divided by 3185362.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = f + 7*o - 85, -2*f + 5*o = -148. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n**2 + 10*n**2 + 10*n**2. Let k(i) = -2*i**2. Determine q(k(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (25 - 23) + (153 - 89)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -2 in ascending order.\nAnswer: -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.181328073 rounded to 3 decimal places?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5596915 (base 10) to base 11\nAnswer: -3183055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, -9, -2 in increasing order.\nAnswer: -9, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and (-57)\/(-9) - (-10)\/15?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54032242 + 0.123?\nAnswer: 54032242.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 10. Let q be l(1). What is the closest to 1\/4 in -2\/7, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4 + (-2 + 1 - 1)*(-5 + 3 + 1) + 84 + 123 - 62)*(-5*o - 3*o + 5*o) to g*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/5 - -3) + 96\/(-12).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**13)**(-3\/10)*(d**(-3)*d)\/d*d*(d**3*d)\/d assuming d is positive.\nAnswer: d**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 9*c - 3*c**2 + 0*c**2 - 10*c + c**2.\nAnswer: -2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-9)*9\/(-3). Let l = 14 - t. Suppose l*s - 2*o + 162 = 7*s, 3 = o. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/3 - 12274*z**3\/3 + 20440*z**2 = 0.\nAnswer: 0, 5, 6132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5534397, 5534415, 5534433, 5534451?\nAnswer: 5534469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -15*k. Let s(g) = g + 127271. Give a(s(x)).\nAnswer: -15*x - 1909065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 28 = 3*d - 2, 5*d + 13 = -4*y. Let p = 11 + y. Is 3 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/18)\/((-2101)\/(-1146)) and -2 + 2 - (-74)\/22.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 + 1.2. Let o = 44 - 22. Let j = o - 21. Which is the biggest value? (a) 4\/7 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Let d = q + -1. Suppose -5*c + 40 = -2*v - v, -2*c + 16 = -5*v. Solve d*r - c*r - 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 173 = -5*i, -l - 31 = -i + l. What is the highest common factor of i and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -2 + 0 + 4 - -3) + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-30)*2\/(-8).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6960*x + 1280633. Give r(184).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-8 - -1 - (-30 - -19)) + -16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 25976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/4583 - -568232\/22915. Determine i, given that 2\/5*i**2 - y*i + 1922\/5 = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 2296. Let j(l) = 5*l - 2293. Give -3*j(m) + 4*p(m).\nAnswer: m - 2305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 905240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-9)\/(-6))*(2354\/(-220))\/(-107)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/3 + 380*x\/3 + 7220\/3.\nAnswer: 5*(x + 38)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1 - (0 + 0)). Find the third derivative of -7*x**3 - 3*x**2 + 8*x**b + x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-140)*8\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 6\/15. Suppose 5*o - 2 - 18 = w. Sort 5, -3, o.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 11*v**2 + v + 22. Let p be t(12). What is the derivative of -422*g - 24 + 217*g + p*g wrt g?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*t + 1846 = 0, -2*o = -0*t + 5*t - 1849. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 13 + 3 = 2*m, -5*k - 2*m = -30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 0. Suppose h = j + 4, -j = -3*j + y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a factor of 256102206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 21. Suppose 2*c - 5*c + 78 = 0. Does 12 divide m - -1*(c - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10573.76 times 0.3?\nAnswer: -3172.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27025 divided by 25.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 132 + 64\/(-8) + -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let v(r) be the second derivative of -r**3\/3 - r**2 - 2*r. Give -2*q(u) - v(u).\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9375*r**5\/7 + 656000*r**4\/7 - 1638105*r**3 - 316042*r**2\/7 + 24420*r + 1400 = 0. What is r?\nAnswer: -2\/25, 2\/15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 2\/5 (c) 2\/9491 (d) -5\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + -15 - -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 + 159?\nAnswer: 159.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146910?\nAnswer: 2, 3, 5, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 747492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 141*d**2 - 15*d + 8. Let a be l(-9). Suppose -3*o + 4*i = o - a, -o - 2*i = -2897. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55133 + -55133.90899. Round y to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**4 + 58*k**3 - k**4 - 7*k**2 - 56*k**3 - 2*k**4 + 2*k as a*k**2 + b + v*k**3 + f*k**4 + z*k and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 438100 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11276, 22620, 33978, 45356, 56760, 68196, 79670, 91188?\nAnswer: 102756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(8*33\/(-22))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00218965184 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78304205 and 40376.\nAnswer: 626433640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -3, 61, 179, 369, 649, 1037, 1551?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1060475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/28 and -43\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6434548, -6434542, -6434536, -6434530, -6434524, -6434518?\nAnswer: -6434512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - 12\/(-5). Let i be ((-4)\/(-4))\/(s\/6). Solve i*q + 2 = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpa when three letters picked without replacement from {k: 2, p: 2, a: 4, w: 1, j: 1, o: 5}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -221*v - 655*v - 3*v**2 - 226*v - 521*v as q*v**2 + x + o*v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -37*h**2 + 9*h - 46. Let d(i) = -19*i**2 - i. Let z(b) = -2*d(b) + p(b). Give z(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oncee. What is prob of sequence eon?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from dbhadbpx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 - -175. Solve a + d = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2660188139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354 - -354.00001195. Round x to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/459088 and -113\/36956584.\nAnswer: 73913168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-57)\/3 - -2. Suppose 53 = -5*u - 37. Let x = u + r. Solve -x + 0 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12496 + 12496.1999875. Let x = w - 0.2. What is x rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 56*h**2 + 114*h - 115. Give m(-58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 189993, 189988, 189997, 190032, 190105, 190228, 190413?\n\"Answer: 2*q**3 - 5*q**2 - 4*q + 190000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11657\/21 + 555. What is the fourth biggest value in 1, w, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34606826 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/(8 + -3) - (5374\/(-5288) + 1) and -15\/4?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56962000 rounded to the nearest one hundred thousand?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -18*r**2 - 23*r**2 + 57 - 13*r**2 - 279 + 56*r**2. Let v(z) = 11*z. Determine v(w(p)).\nAnswer: 22*p**2 - 2442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 5. Suppose 0 = -7*i + 3*i + 36. Calculate the remainder when i is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 195, 205, 219, 237, 259?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-12005098)\/(-882) - 2*(-3)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535150838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -4 - ((-2)\/2 + 55). Let f = 60 + y. Suppose -1\/3*h**2 - 2\/3*h + 1\/3*h**4 + 0 - 1\/3*h**5 + h**f = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 2142 = -27*h. Calculate the remainder when 964 is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h - 8. Let o(d) = -4*d + 5. Let j(n) = -8*o(n) - 5*s(n). Let k(b) = -3*b**2. Calculate j(k(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*p - 68, -3*o - 7*p + 27 = -4*p. Let f = -4 + 11. What is the remainder when o is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 26 = 4*r, -3 = -o - 3*r - 0. Let s(y) = 6*y + 0*y**3 + 6 + y**3 - 7*y**2 + 0. Let q be s(o). Solve -q = 2*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -36*y + 15. Let m be d(-8). Let h = m - 65. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5 + 5968*k**4 - 1130978*k?\nAnswer: 60*k**3 + 71616*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 + 1 = 0, 4*t = -2*h - 4. Solve 0*v = -4*v - h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -0.5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**3 + 3*q**2 - 3*q + 4. Let n(y) = 14*y**3 + 3*y**2 - y + 2. What is 3*n(k) - 2*x(k)?\nAnswer: 12*k**3 + 3*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 12*w**2 - 5*w - 57. Let j be u(-12). Solve 30*x - j = 29*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 569618 and 1304790?\nAnswer: 264872370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.9 (b) 5 (c) 61.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645552785 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -1\/20*b**5 + 0 + 104*b**2 + 0*b**4 + 0*b + 1\/120*b**6 - 43\/2*b**3. What is the first derivative of p(d) wrt d?\nAnswer: 3*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 732*h\/11 - 734\/11.\nAnswer: 2*(h - 1)*(h + 367)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1012)\/(-3542)*2*7\/(25\/5*10).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -666 - -646.48. Let h = q + 0.42. Let a = -20 - h. What is a rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -4.091012.\nAnswer: -16.364048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 3*z - 6. Let u be (100 - 1)\/(-4 - -5). Let w be (-2)\/4 - u\/(-22). Calculate the common denominator of b(w) and 65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 117936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a89 + 20142?\nAnswer: 1a164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1756*i**2. Let z(x) = 2*x**2. What is z(n(s))?\nAnswer: 6167072*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 5. Let x be u(7). Let g be -2 + 1*(2 - x). Suppose 2*s = 83 + 125. What is the highest common divisor of g and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/2 - d**2\/2 + 2*d. Let u be s(-1). Factor -5 + 0 - 2*i**2 - u*i + 2*i**3 + 5 + 2*i**4.\nAnswer: 2*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -17. Let f be 12\/(-14) + y\/7 - 31. What is the tens digit of -6*((-12)\/9 - -2) - f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9536)\/(-39) - (-4)\/12. Suppose -304 - 431 = -3*c. Let l = q - c. What is the second biggest value in -3, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/101 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/24)\/(6\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4733\/18 - -263. Let u(c) be the second derivative of 0 + c + m*c**4 + 0*c**2 - 1\/45*c**6 + 1\/9*c**3 - 1\/30*c**5. Find g, given that u(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = -3*p. Let k be 2\/1*4\/p. Let r(z) = 3*z**3 - 6. Let h(b) = b**3 + 4 + 9 - 1 + 5 - 18. Give k*r(g) + 6*h(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n + 1. Let r(c) = 10*c**2 - 4*c + 3. Determine r(w) - 4*y(w).\nAnswer: 6*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose c*z - 20 = -z. Solve 2*x + 23 = -z*t, x = 3*t + 4*x + 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486840573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 2*j + 2. Let x be f(4). Suppose -4*v = -2*c - x, 2*v - 4*c + 11 = 47. Solve -2*o - v = -4*d, o + d = -o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1450 + 1449.9995945. What is f rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 + 5*b**2 - 2*b**2 + (-3 - 2 + 4)*(18*b**2 - 16*b**2 + 34*b**2).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 439 - 87. Calculate the remainder when x is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -353323 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5 + 5)*(-3 + 0 + 1)*(-4 + 2 - 4)*(0 - w**2 + 0).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 2. Let g(m) = 1. Let f(l) = 2*g(l) - v(l). Let t(a) = -22*a + 3*a + 10*a. What is t(f(y))?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -50. Find the third derivative of -t*d**3 - 5*d**2 + 5*d**3 - 4*d**3 + 15*d**2 wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58006 and 72358?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*t, 4*p - 3*t = -0*p + 35. Suppose 4*g**3 - g**2 + 2*g - p*g**2 + 1 - g**2 + 0*g**3 = 0. What is g?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-117)\/(-90) + (1 - 16\/20) and -35\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244324012340 + 4?\nAnswer: 1244324012344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 + 304 = 7*x. Suppose x*f - 115*f = -216. Solve -3*j = -4*a - 0 - 27, 0 = a - 3*j + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/2 (b) 4 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21956249.8 to the nearest 1000.\nAnswer: -21956000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j + 23. Let f(u) = u. Let k(y) = 2*f(y) + v(y). Let t be k(-9). Suppose -t = 4*m - 6*m. What is the remainder when 126 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 39. Let s be (27\/(-2))\/((-21)\/12 - -1). What is the lowest common multiple of b(s) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -14 + 8 + 19\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7*s = -114. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = z, -3*c - 5*z + 49 - 9 = 0. Solve 5*j = -0*j - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -480000 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498092 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/3)*x**(-3\/5)*(x\/(x\/(x**(-5)*x)*x*x)*x)**(23\/2))**(2\/5) assuming x is positive.\nAnswer: x**(-1813\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10643 + 12537536?\nAnswer: 12537536.10643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26900.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16082506 to the nearest integer?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43*a**2*b + 1315926*a**2 + 488*b**3 wrt b?\nAnswer: -43*a**2 + 1464*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55517 * -1.\nAnswer: -55517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5579 - 5590. Is m bigger than 3.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1747505190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -336366222.\nAnswer: -336366223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 + 179. Let t(w) = w**2 + 6*w + 12. What is the remainder when t(-8) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*t + 258, 4*i + 0*i = 3*t + 228. Suppose -365*k + 356*k - i = 0. What is the fourth biggest value in 0.4, -4, 1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 30, 5, -4, 9, 3, -3 in descending order.\nAnswer: 197, 30, 9, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2848 + -1451. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*m. Solve 3*d - d - 8 = m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26524980 to the power of 1\/2, to the nearest integer?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 2\/3*x**2 + 0*x + 0 + 2*x**3 + 2\/3*x**5.\nAnswer: 2*x**2*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + -6 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22*p - 2. Let f be h(1). Let v = 24 - f. Suppose v*c - 2*u - 270 = 0, 327 = c + 4*c + u. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 + -50. Suppose -5*i = 19 - p. Calculate the highest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4067 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/124516 and -31\/3166264?\nAnswer: 22163848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -440?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*s - 1965*b**3*s**2 + b**2*s**2 - 186*b**2*s - 11*b*s**2 - 2*b wrt b?\nAnswer: 24*b*s - 11790*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3813 and 40672.\nAnswer: 122016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 355914343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by -3166474.\nAnswer: 175\/3166474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -120010212021 (base 3) to base 4\nAnswer: -1020301030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/(-2))*4\/36.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1241 (b) -5 (c) 2\/3 (d) 31 (e) 0.2 (f) -0.05 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75103 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232581543 by -10112241.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304077 is divided by 804?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-6669\nAnswer: 400.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1882, -2817, -3752, -4687, -5622, -6557?\n\"Answer: -935*a - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and -61\/125630602?\nAnswer: 628153010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65863442 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11107331 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 276, 265, 254, 243, 232, 221?\n\"Answer: -11*i + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5 + (2 + -5)*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = -81 - 183 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*x + 6348*x + 483*x + 1224*x.\nAnswer: 8205*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 3 + 1\/15*t**6 + 5*t**2 - 1\/24*t**4 - 29\/6*t**3 + 0*t + 0*t**5. Find the first derivative of g(w) wrt w.\nAnswer: 24*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.57 - 3.57. What is the closest to 0 in -14, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3.52, 1\/8, 0.5 in ascending order.\nAnswer: -2, 1\/8, 0.5, 3.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8))**(-1\/23)\/((m**13*m)\/m*m)**45 assuming m is positive.\nAnswer: m**(-14482\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8100 is divided by 403?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.42 + 51.42. Sort i, -1, -3, 65, 3\/8 in descending order.\nAnswer: 65, i, 3\/8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/4 - 4823*r - 774765 = 0?\nAnswer: -19130, -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2*s**5\/5 - 240*s**3 + 3036*s - 3397. Differentiate d(a) wrt a.\nAnswer: -8*a**3 - 1440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 12:54 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1168*h + 33*h - 16644 + 16644)*(-1 - 2 + 2).\nAnswer: -1201*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11\/9 - 4\/18) + 19. What is the highest common divisor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 3*z + 6, 3*s + 18 = 3*z. Let v be 3\/(3\/4*z). Solve -2 + 6 = v*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 447 = -48. What is the highest common divisor of g and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*s + 16 - 62 = 0, -39 = 3*x - 5*s. Is 74 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + (-408)\/(-32))*(0 + -162). Let z = a - 4783\/118. Is z at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418156, -836299, -1254442?\n\"Answer: -418143*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59584*v = -2*c - 59579*v + 28, -16 = 4*c + 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -h + 28, -4*z - 3*h + 28 + 16 = 0. Suppose -z*p = -4*p - 20. Suppose 0 = v - p + 2. Solve v*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4319294 or 4319290?\nAnswer: 4319294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let l(t) = -32*t + 82. Let j(d) = -865*d + 2215. Let q(h) = -2*j(h) + 55*l(h). Let p(k) = k - 2. Let r(a) = -40*p(a) - q(a). Calculate r(g(n)).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 347433?\nAnswer: 347434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 9) to base 7\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -50 + 4\/7*y**2 + 20\/21*y**3 - 16\/7*y - 1\/21*y**6 - 1\/14*y**4 - 8\/35*y**5. Factor m(w).\nAnswer: -2*(w - 1)**2*(w + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/7 - 1636*y**3\/7 + 6570*y**2\/7 - 4932*y\/7 = 0 for y.\nAnswer: -822, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1964*l - 27 + 114 - 42 - 45 as n + s*l and give s.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -7*x + 56. Let t = 52 + x. What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1 + a**3 - 18*a**2 + a + 3*a**2 + 8*a**2 + 8*a**2. Let y(k) = 4*k**3 + 5*k**2 + 6*k - 3. Calculate 5*j(x) - y(x).\nAnswer: x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/3 + 84. Let j(y) = -59*y + 2. Determine v(j(t)).\nAnswer: 3481*t**2 - 236*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/7 (b) 7 (c) 34 (d) 1.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29926 - 29927 + 89702 - 29857 - 3*l.\nAnswer: -3*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Let k(g) = g**2 - 6*g + 7. Let a(d) = -k(d) + 6*l(d). Let w(v) = -v**2 + 7*v - 6. Suppose -o + 5 = -0. Let b be w(o). Give a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v**2 - 120*v + 128 = 0. What is v?\nAnswer: 2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:22 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7027046 is divided by 233.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1199 + 1205. Let d(p) be the third derivative of 0*p - g*p**2 - 1\/6*p**3 + 1\/24*p**4 + 0. Give d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 8*c - 9. Let s be l(-6). Let d = 24 + -3. Suppose -3*y + s*g = d, -4*g - 23 = -y - 9*g. Which is greater: -3\/5 or y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128180 divided by 29.\nAnswer: -4420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o = 15. Suppose 800 = -o*s + 11*s. Calculate the highest common divisor of 40 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, 1 e, and 1 u when four letters picked without replacement from {g: 2, e: 3, d: 2, u: 2, t: 2, q: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21440112 + 114?\nAnswer: -21436665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - m**2 - m**2 + 374*m.\nAnswer: -m**2 + 374*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjfg when four letters picked without replacement from {e: 1, g: 2, z: 4, j: 1, f: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = -81*o + 280 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 18. Which is the nearest to q? (a) 0.1 (b) -1\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 15*w**2 - 14*w + 12. Let k be g(-14). Let s be 0\/(k\/8*4\/3). Let m be 28\/7*(s + 3\/2). Solve 3*c - a - m = -4*a, 0 = -5*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 44 = 3*f. Suppose 0 = -15*g + 21*g - 108. What is the first derivative of f*v**4 + 17*v**4 + 1 - g*v**4 wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x**2 + 121*x - 796. Determine l(14).\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 168, 377, 670, 1047, 1508?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7638095303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -138*n - 19323. What is m(-140)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1834368680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -264, -917, -2192, -4293, -7424, -11789, -17592?\n\"Answer: -34*a**3 - 5*a**2 + 18*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-256)\/(-6) - (-10)\/(-15). Let p = j - -52. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*v + 51*v + 792. Let n(w) = w**3 + w + 1. Let u be n(0). Let d be (u - 2)*2\/(-1). What is the greatest common factor of v and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(-6)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 347.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 4*n - 1, 3 = -3*n - 3*k. What is the closest to 0.1 in n, -1\/9, -7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(178\/(-374) - (-308)\/1694)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 1. Let f be (2\/(-14))\/((-23)\/161). Let k(t) = -t**3 - t**2 - t + 2. Let o be k(f). Determine w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2155*c*g*p*s**2 + 3*c*g*p - c*p*s**2 + 878*p*s**2 wrt g?\nAnswer: 2155*c*p*s**2 + 3*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - (-32)\/6. Let i(l) = -2*l - 6. Let a be i(-3). Solve m*d - 4*d = a, 4 = 2*n - 5*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-45)*2)\/((-52)\/130).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*b**2*n - 214*b**2 wrt n.\nAnswer: -112*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 19 = -4*l, 3*p = 4*l - 7. Suppose -p*n - 34 = -7*n + 2*a, -5*n - 5*a + 5 = 0. Let s be (-2)\/(-1 - (-9)\/n). Sort 3, s, 2.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 366, 427, 354, 111, -338?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**3 - 4*d**3 - 2*d**3)*(-107*d - 4 - 25*d - 37*d) to l*d**4 + k + j*d + q*d**3 + f*d**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 642343\/1364 > 471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/2 - -9*(-22)\/99. Let z(d) be the third derivative of 1\/210*d**6 + 4\/105*d**5 + 0*d**b + 2\/21*d**4 + 0*d + 0 + 14*d**2. Determine h so that z(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l, -10*q + l + 11467 = -6*q. What are the prime factors of q?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j + 4*j**3 + 5*j**3 + 3*j**3 - 12*j wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 386. Let b(u) = -14*u + 20. Let w be b(-4). Calculate the greatest common divisor of d and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 2594 = 4472 + 293. Calculate the highest common factor of o and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 54\/525071 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -24*i**2 + 2*i - 5. Let l(q) = 121*q**2 - 10*q + 24. Determine 2*l(r) + 11*z(r).\nAnswer: -22*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*i - 85 = 0, -2*i + 18 = 3*x - 17. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1) - 208)*95\/57. Is (-247419)\/(-75) - 28\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a factor of 76258801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + n = 4, 6 = 2*m + 2*n - 2. Suppose -49 + 217 = 6*j. Suppose m = 3*t - t - j. Calculate the highest common divisor of t and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h**3 + h**2 - h. Give j(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139327194 rounded to seven decimal places?\nAnswer: 0.0001393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*d + l + 2*l, 2*d + 3*l = 25. Suppose -u = -d*u + 8. Let i = u - -1. Solve -i*v = -8*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + 5 + (16 - (-19 + 30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a**3 + a**2 + 6*a + 3. Give d(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 2}. Give prob of sequence qkkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2892 + 3602. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3\/2*v**2 + 5*v + 0 - v**3 - 1\/4*v**4. Factor s(o).\nAnswer: -3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - 14) - (7 - -4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 equal to 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/2 + 11*q**3\/3 + 9*q. Find the second derivative of t(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 5\/2 (c) 0.4 (d) 3 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56537, 113430, 170323?\n\"Answer: 56893*t - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341 + 340.98659. Round d to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 1. Let j(b) = -b. Let q be (1 + -4)*(-2)\/(-6). Let s(h) = q*p(h) - 2*j(h). Let o be s(-2). Calculate the highest common factor of 110 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(1\/(-4)). Let q(r) = -r - 5. Let g be q(-5). Solve -i + 4*l + 12 = -5, -m*i + 3*l + 9 = g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 8*g - g)*(-5 + 3 + 3)*(-1 + 4 - 2).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(704) + 1)*4)**2 + sqrt(11) + (sqrt(11) - sqrt(22)\/(sqrt(14)\/sqrt(7))) + sqrt(77)\/(sqrt(56)\/sqrt(8)) + 3.\nAnswer: 2*sqrt(11) + 11267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2 - 22. Let w be (10\/(-6))\/((-3)\/9). Let c be -6*(w + (-5)\/(30\/33)). Solve m*k + c = -17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 x when four letters picked without replacement from zczocxoxxoxxx?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-10))\/((-1)\/(-6)). Let g = -1318\/5 + 3269\/15. Let j = -46 - g. Put j, c, 3 in decreasing order.\nAnswer: 3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169933 at least as big as -170277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0 + 2\/3*l**3 - 7\/30*l**6 + 0*l**2 + 0*l**4 + 0*l**5 - 8*l. Find the second derivative of m(y) wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -57) + 0 + -1. Let c = 50 - y. Let m be 1\/(-2)*(1 - -7). Sort 5, m, c in decreasing order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 4. Let f be (40\/(-24))\/(1\/(-3)). Let t be z(f). Let s = 23 - t. What is the smallest common multiple of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q**3 + q**2 - 2*q + 1. Let x = 3280 - 3279. Give h(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 46156.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 6*b + 130. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 15. Let p = f - -7. Which is the closest to 0? (a) p (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17388 and 308.\nAnswer: 191268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46638\/(-819) + 6\/(-21). Let c = 171851\/3003 + k. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -11085, 2.\nAnswer: -11085, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32280 and 7320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3447, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**4 - 76*d**3\/3 + 88*d**2\/3 - 16*d\/3.\nAnswer: 2*d*(d - 2)**2*(9*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53408 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.484 and 12.\nAnswer: -5.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:59 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7646 is divided by 477.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -738 - -475. Let s = -217 - x. Calculate the greatest common divisor of s and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (2*sqrt(156) - sqrt(156))*6) + sqrt(156))\/(sqrt(108)\/(2*sqrt(9)) + sqrt(12)) + (sqrt(26) + -1*sqrt(104))\/(-5*(sqrt(18) - sqrt(2))).\nAnswer: -77*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 17*b**2 + 13*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:51 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.49 - -0.11. Let y = -0.6 + k. Which is the second smallest value? (a) 0.2 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 17*t + 10. Calculate the remainder when 205\/7 - 12\/42 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39409438 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 27*i**2 - 40*i**2 - 22*i**2 - 20 + 31*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -18. What is the biggest value in -0.4, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2363\/11 - -215. What is the closest to 1\/3 in n, 2, 3\/14, 0.1?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1518935 and 21395.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201\/10 + -41\/2. Let x = -35\/74 - 1\/37. Let m = 19 + -18. Which is the nearest to x? (a) -2\/9 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -297 and -297 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178865 is divided by 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, a: 7, r: 3, i: 3}. Give prob of sequence avva.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139*6858.\nAnswer: -953262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 507?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*y - 68. Let j be ((-2)\/(-3))\/((-12)\/y). Let g = 111.6 - 112. Which is the second biggest value? (a) g (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*h + 4*n, 5*h - 40 = -2*n - 3*n. Suppose 3*t - 6*t = 0. Solve t = j + 4, -4*c - h = -j - 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259542 is divided by 868?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -346*l**3*p**2 - 4*l**3 + 5*l**2*p + 22*l*p**2 - 286*p**2 wrt l.\nAnswer: -2076*l*p**2 - 24*l + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 + -1.81. Let u = -1\/403 + -35033\/11284. Let d = -20\/7 - u. What is the biggest value in -5\/2, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171960535.\nAnswer: 5, 23, 853, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:41 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3232)\/1632 - (-6)\/(-17)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmbymvmvmmyvyvvmvy. What is prob of sequence mvv?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258101267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkmk when four letters picked without replacement from kkkmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -621*n + 5593. Determine d(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(243) + (sqrt(243)*-1 - sqrt(243)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*u - 174*u - 163*u + 502*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 + 8 - 9*u)*(-1 - 3 + 6)*(-9*u + 3*u + 3*u).\nAnswer: 54*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 52 = m - 24 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 322*a**3 + 19*a**2 - 23*a - 15. Let q be f(-16). Let w = q + 3240611. Let c = w - 156916. What is c rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1277*g**2 + 206*g - 1276*g**2 + 2558*g**2 + (0 + 0 - 2*g)*(-g - 4*g + 3*g) - 2 + 2*g**2 + 2 to the form j*g**2 + r + n*g and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-32 + 15) - (23 - -2)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206301822, -206301820, -206301818?\nAnswer: -206301816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11865 + -11866. Which is the closest to 0.02? (a) -5 (b) -5\/2 (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560702 by -1.\nAnswer: 560702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 3. Let c(y) = -1. Let x(h) = 7*c(h) + 2*z(h). Calculate x(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (2 - (-2 + (-10 - -6) + 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 3*o**2 + 0*o**2. Let n(q) = q**2 + 3*q - 5. Let k be n(-4). Let f(w) = -w. Let m(s) = 3*s. Let c(l) = k*m(l) - 4*f(l). Give c(h(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 645772 + -1?\nAnswer: 645771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812053 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/12 - 7*n**3\/6 + 71*n**2 + 1547*n. Give a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 + 27*y + 61. Calculate a(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191 and 23111.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 + 11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 36 + 20*l - 20*l.\nAnswer: 2*l**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 534811456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 2*a**2 + 5*a + 7. Let f be o(-1). Let j(t) = -4*t**2 - 3*t - 1. Give j(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 10*p**2 - 10*p - 1. Let g be h(11). Let c(i) = -i**2 - 15*i - 8. What is the remainder when c(-9) is divided by g\/5 + 12 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1145233.51973 - 1145244. Let f = s - -11.2728. Let k = f + -0.79. What is k rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 1\/3, 1\/8 in ascending order.\nAnswer: 1\/8, 1\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - 1\/2*(-5)\/(-5). Suppose -3*x - 3*h = -9, -h + 3 = x + 2*h. Sort -4, x, r, 98.\nAnswer: -4, r, x, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*k = -8, -3*n - k = 13 - 18. Solve 18 = -5*v + y, -2*v - 3*v = n*y + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**5\/5 - 87*y**4\/5 + 93*y**3\/5 - 18*y**2\/5 = 0. What is y?\nAnswer: 0, 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/(22\/55). Solve b + 11 = t*y, -b + y + 7 = 5*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 12. Let z be 3\/(-8 - 1) - 678\/(-9). Suppose -11*g + z = -u*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -1*(sqrt(121)*1 - sqrt(121)))\/(1*sqrt(1331) + sqrt(1331) - sqrt(1331) - sqrt(11)))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2450635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 0.3 (b) 4 (c) -2715\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 13*n + 5*n + 15*n - 58*n + 18*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-10))\/(6\/180). Which is the second biggest value? (a) -0.04 (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/532 and 149\/17290.\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1198 times 750.3\nAnswer: 898859.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 9. Let t = 11 - v. Solve -p + 16 = t*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*n**2 + 104*h**3*n*v + 56*h**3 + 549*n**2*v**2 - 2*n*v**2 wrt n.\nAnswer: -2*h**3 + 1098*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:32 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**19\/(o**(-7)*o))\/((o*o\/(o\/(o*(o**3*o)\/o)))\/o)**23 assuming o is positive.\nAnswer: o**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -48*m. Let b(q) = 7*q. Let r(t) = -27*b(t) - 4*o(t). Let d(s) = -5*s. What is r(d(l))?\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 45075+-2.15246\nAnswer: 45072.84754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 76. Let r = -15 - -21. Let x be r - 3 - (5 + d). Which is greater: x or -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/32 + (-2)\/(-1). Which is the second biggest value? (a) n (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 691939)\/1 - (14 + 56\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4 + -201.\nAnswer: -207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(45\/189) + -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435619 (base 11) in base 16?\nAnswer: a9ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2311 + 3817. Suppose -j = 1418 - z. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 5 - 1 - 38*x + 6.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**5 - 35*k**4 - 4846*k**3 - 6345*k**2 - 2078*k?\nAnswer: 180*k**2 - 840*k - 29076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3214829 is divided by 232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 2*i + 36*i**2 - 128*i**3 + 162*i**3 - 48*i**2 + 2*i.\nAnswer: 34*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44793702?\nAnswer: 2, 3, 43, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063*h + 547*h - 3856 = 81474 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1*((sqrt(34) - sqrt(34)*2) + sqrt(34)) + sqrt(34))\/(sqrt(8)\/(sqrt(4) - 2*sqrt(4))) - sqrt(102)\/(sqrt(150)*2)*2))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/14032813?\nAnswer: 4\/14032813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 * -0.058\nAnswer: 0.003828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j + 5*q, -2*j + 16 = -6*q + q. Let n be j - (2*1\/(-2) - 3). Suppose -n*x = -3*x - 240. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12416 or 12417?\nAnswer: 12417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -142997*v - 5862882. Calculate y(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/11))**(-2\/17) assuming v is positive.\nAnswer: v**(-12\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -713 divided by -92?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3*s**2\/2 - 5*s + 2. Suppose -4*z - 5*q - 41 = 0, 0 = -0*z - 2*z - 4*q - 28. Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-24)\/(-14). Suppose 0 = -4*u + i*v + 86, 3*v = -2*u + 5*u - 69. Calculate the least common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -39, -25, 0.62, -0.2?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 22*d - 2. Let m(b) = 104*b + 207. Let v be m(-2). What is q(v)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.997 and -1.1.\nAnswer: -2.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/55, -2, -3, 0.5, -14, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-16 - 0) + 28 - -3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 1921, 2833, 3761, 4711, 5689?\nAnswer: 6701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1045 and 119172193.2.\nAnswer: 119172193.0955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -4 - -6668*(-22)\/(-4576)) + -17?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - t**2 - 159*t + 311. What is r(7)?\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose -n = 11 + 5. Let o = n - -17. Which is the nearest to o? (a) p (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-28) - 116\/14. Let d = j - -12. Suppose -5*q + 46 = x, q + d*x + 3 = -3. Solve -4*h = 2*t - 0*t - q, 5*t = -3*h - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2514 is divided by 2513.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -59*x. Solve x = -6*a - 3 + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-10) + 4)\/((-38010)\/(-500) + -76)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(4356) - (sqrt(4356) + 2*sqrt(4356)))\/sqrt(12)*-1 - ((sqrt(252) - -3*sqrt(252))\/sqrt(7))\/(2*(sqrt(108) - sqrt(12))).\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -45*q**2 + 30*q. Let v(r) = -89*r**2 + 59*r. Let s = 113 - 110. Let y(w) = s*v(w) - 5*j(w). What is the second derivative of y(o) wrt o?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*o = 0, 2*o + 5 - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -816*(-6*5\/(-15) + 4). Let v = 1986 + f. Round v to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 0 (c) -8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 401 + -398. Suppose 0 = -4*a - 4*s + 200, 76 = -d*a - 2*s + 226. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131380 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/((4074210\/560)\/(-223))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 = x. Let u(q) = q**2 + 0 - 6 + x. Let j be u(-5). Solve 0 = -4*d + j - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-450))\/((-5)\/(-75))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15095401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130865 - 34275 = -23*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + 34*9\/(-684)*22?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262.96 and -8.\nAnswer: 254.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + -176?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 5*g - 7. Let v(h) = -4*h**2 - 4*h + 6. Let w(b) = 2*b**3 - 3*b**2 + 2*b - 2. Let j be w(2). Determine j*v(u) + 5*s(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(1*(sqrt(2662) + sqrt(2662)*-2 + sqrt(22)))\/((sqrt(2000)*-2)\/sqrt(10)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 30*r**2 + 1322*r + 145. What is n(-44)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 244507510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1006837, -1006832, -1006827?\n\"Answer: 5*c - 1006842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2292937 is divided by 264?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292 - -291.7. Let i = 13 - 8. What is the second smallest value in g, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 10 (b) -3 (c) -1.295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 16) in base 6?\nAnswer: -3513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -409*i**4\/2 + 4*i**3\/3 - 71*i - 184. What is the third derivative of a(p) wrt p?\nAnswer: -4908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -9*o - 0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -21 + 98\/5*n - 14\/5*n**2 + 2\/15*n**3. Factor a(s).\nAnswer: 2*(s - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.5 + -8. Let i = t - 9.38. Round i to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-54)\/(-12) - (-2)\/(-4). What is the greatest common factor of 16 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5)\/(y\/y**(4\/5)))\/((y**1*y)\/y**1))\/(y**(-21\/5))**(-26) assuming y is positive.\nAnswer: y**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 4*j**2 - 180*j - 4850. Factor p(n).\nAnswer: (n - 10)*(n + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 (base 11) in base 4?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-46874)\/(-8) - (-560)\/(-448)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.93 - 76.93. Let x = -14 + 12. Which is the second smallest value? (a) -1 (b) 3 (c) z (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 659*d**2 - 27*d + 5. Let i(n) = 1648*n**2 - 65*n + 12. Give -5*i(a) + 12*u(a).\nAnswer: -332*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1354111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-1)\/((-1)\/2)). Let h be (-10 - -12)*(-6)\/(-4). Factor -11*s + 13*s**n + 26*s - h*s**3 - 4*s**2 - 3*s**4 + 6.\nAnswer: -3*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 479596 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(5) + 2)*-6)**2 + (sqrt(10)\/(sqrt(20)\/sqrt(4)) + sqrt(18)*-2)**2.\nAnswer: 144*sqrt(2) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 6*k**2 + 2*k - 6. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -9) + -23 + -27 + 34.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*q - 3 = 0, -2*c + 5*q - 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30361*f*q**2 + 2*q**2 + 2*q + 10321 wrt f.\nAnswer: -30361*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31262531 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2867.49813 to the nearest 10.\nAnswer: -2870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -107*j**6\/40 + 248*j**3\/3 + 24*j**2 - 7. Find the first derivative of r(p) wrt p.\nAnswer: -963*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 5 (c) -6 (d) 2\/43 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = -5*w - 5, 0 = -4*w - 2*p - 2. Suppose 5*u + w*u - 20 = 0, 5*t - 147 = -3*u. Let g = t + -14. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 9*c + 2. Let g(m) = m**3 - 9*m**2 + 16*m - 5. Let d be g(7). Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 - k**5 - 3*k**5)*(-215 - 311 + 348) + (-23*k - 4*k**2 + 23*k)*(-4*k**3 + 3*k**3 + 0*k**3).\nAnswer: 360*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 365, 216, 7, -262?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229292 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((204\/27)\/2 - 4 - 2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -170*c**3 + 5*c**2 + 2*c - 6. Give v(2).\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9841254.\nAnswer: 2, 3, 1063, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6712, 10286, 13860, 17434, 21008, 24582?\nAnswer: 28156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 57 = 2*x - 254, 2*t + 3*x = 619. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + p**2 - 3*p**2 - 3*p**4)*(-10*p + 36 - 36).\nAnswer: 60*p**5 + 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.5 + -54. Let o = -92\/3 + 31. Sort 0, h, 0.4, o in descending order.\nAnswer: h, 0.4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 146 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/4 - 5*p**2\/4 - 3*p\/4 + 9\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9354019us in seconds?\nAnswer: 0.0000009354019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24102 + -12?\nAnswer: -24114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 701826, 701638, 701450, 701262, 701074, 700886?\n\"Answer: -188*y + 702014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:16 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128916 = -85*x + 110167 + 67257. Solve -x = -4*g - 3632 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*r - 17. Let u(d) = 7*d**2 + 4*d - 1. Let b be u(-4). Suppose -13*l - b = 35. Put l, r, -1, -5 in increasing order.\nAnswer: l, -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/3)\/v*v**19\/v)**(-2\/55) assuming v is positive.\nAnswer: v**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:40 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2*s**2 - s**2 + s + s**2 - 2*s**2 - s**2 + (0 + s + 0)*(-4*s + 7*s - 2*s).\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42768 and 9504.\nAnswer: 85536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1429009, -3, 4 in descending order.\nAnswer: 1429009, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 30*w**2 - 7*w. Is t(-30) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + u**2 + u + 15. Let a be 2\/5 + (-16)\/40. Give t(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 3, g: 2, o: 4}. What is prob of sequence geg?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from {m: 4, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250736 (base 9) to base 11.\nAnswer: a3910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-11)\/110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = -2*g, 2*q + 2*g = -0*q. Let f = -0.5 + 11. Let l = f + -11. Sort 2, l, q, 1\/8 in decreasing order.\nAnswer: q, 2, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.00805 micrograms to kilograms.\nAnswer: 0.00000006400805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6013597 - -4\nAnswer: -6013593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*b - 6*g + g, b - 4*g - 21 = 0. Let q be 2\/(-10)*(-4 - b) + -1. Solve 5*s + 2*f + 4 + 2 = 0, -2*s - 5*f - 15 = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.8 + -8. Let t = s + -9. Let o = 5957 - 41698\/7. Put -1, t, o, 4 in descending order.\nAnswer: 4, o, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2625.4, 9\/5, 2\/7, 39 in increasing order.\nAnswer: 2\/7, 9\/5, 39, 2625.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/35 - (-6)\/(-21). Let d(o) = -o + 9. Let w be d(5). Let k(v) = 1 + w - 5*v**2 + 1 - 6*v - f + v**3. Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 344, 1589, 3646, 6509, 10172?\n\"Answer: -x**3 + 412*x**2 + 16*x - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 l when three letters picked without replacement from clhxicclcwcll.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 170 = -0*v - 4*v, 0 = 3*v - o - 99. Let h = 4 - -2. Solve z = -h*z + v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (2\/1 - 3). Suppose 0 = 6*k - g*k - 240. Let v = 479 - k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35200*m*n*s**3 + 131*m*n - 76*m*s - 8*n*s**2 + 2*s**3 wrt s.\nAnswer: 211200*m*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10010101?\nAnswer: 10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 156, 63, -100, -339, -660?\n\"Answer: -m**3 - 29*m**2 + m + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 6*j - j)*(7*j - 2 - 2*j - 7*j).\nAnswer: -14*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003808369411 to five decimal places.\nAnswer: 0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 248 = -172. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**3*h**2 + 22120*a**3*h + 16149847*a**3 + 64*h wrt h?\nAnswer: 8*a**3*h + 22120*a**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 9 - 18 + 44 - 10 - 11.\nAnswer: -5*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 15\/8, -2\/5, -126\/25, 3, 0.07, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15817\/16 + -983. Let q = 3430 - 20527\/6. Find the common denominator of d and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, x: 3, h: 2, k: 1, u: 2}. Give prob of picking 2 x, 1 h, and 1 y.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/90*8\/(-4))\/(6\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 470, 1\/69, -6.7 in ascending order.\nAnswer: -6.7, 1\/69, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.66 - 3.06. Let f be 2*((-261)\/(-116) + (1 - 3)). Put 2\/3, f, n, 5 in decreasing order.\nAnswer: 5, 2\/3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372700 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226632*t - 7*y + 9 = 226633*t, -2*t + y = -78 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2771*o**2 - 8*o**3 + 2771*o**2 - 5542*o**2 - o**3 + 63 as p + s*o + j*o**3 + l*o**2 and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3\/3 + 512*g**2\/3 - 2000*g\/3 + 1984\/3 = 0. Calculate g.\nAnswer: 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/17)*k**(-2\/7)*k)**17)**(-1\/4) assuming k is positive.\nAnswer: k**(-71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -99. Let n be (1\/(-22))\/((-6)\/144). Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*i**2 - 17*i**4 - 2*i**5 - 792 + 792 + 3*i**3 - 3*i**3 wrt i.\nAnswer: -120*i**2 - 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/12*1292\/24225\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 2*l - 1. Let a be o(-1). Let z be 4 + a\/(-1) + -3. Let p(w) = z*w - w**2 + 3*w + 1 - w - 3*w. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4 (c) 4 (d) 45334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 62967*-6\nAnswer: -377802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2. Suppose -10 = s + s. Let y(j) = -j**2. What is s*y(g) + w(g)?\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 1 + (-2 - 1 + 1)*(0 + 1 + 1))*(1 - 1 - 1)*(1 - 2 - 1)*(l**2 - 3*l**2 - 4*l**2) to r*l**2 + h + n*l and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*w + 124 + 76. Solve u = -3, 5*u - 4*u = -k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -g - 8, 1 = -3*g - 5. Suppose d*a = -0*s + 5*s + 123, -3 = 3*s. Let o = 59 - a. Solve -5*i - h = -0*i - 17, -i + 2*h + 10 = o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-2)\/(-44)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) -35\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/3 (b) -3 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1430 or -1713?\nAnswer: -1713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814061*o + 814142*o = -2754 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66355*k + 66373*k + 2 - 5 + (0*k + k + 4*k)*(-1 + 1 + 4).\nAnswer: 38*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from ggggscyggfydcg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:10 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-272)\/20)\/((-3)\/(-15)*-2) and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02118375845 to five dps.\nAnswer: -0.02118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 196679529 divided by 159513\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t**2 + 11*t**2 + 13*t**2 + 16*t**2 - 56*t**2. Let h(z) = -181*z. Determine d(h(o)).\nAnswer: 32761*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**3 + b**2)*(2 - 2 + 6 - 3 - 2 + 3 + (-1 + 4 - 1)*(1 + 3 - 3)) + 99 - 99 + 12*b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 5, -112, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 77, 148, 237, 338, 445, 552?\n\"Answer: -w**3 + 18*w**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 45*c = -162. Let w(s) be the third derivative of -5*s**4\/24 - 3*s**3\/2 - 6*s**2. What is w(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 16. Let o = 25\/2 + p. Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 5011. Suppose -5*v + l = -5*s, 0 = -3*s + 4 - 1. What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.2 + -41. Let v = x - 47.2. Let g = v - -49.4. What is g rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 - 3*f**4 - 459*f**3 + 2175*f**2 - 2976*f + 1260 = 0.\nAnswer: -14, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 - 4 = -5*i, 0 = -3*r - 12. Suppose -4*w + 1 + 11 = i. Suppose w*f - 12 = -0*f. Solve -2 = f*q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + a, 48*c - 6 - 14 = 51*c - a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 - 3) + (-2 + -50 - (145 - 165))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 - 5*j - 12. What is m(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*f - 15 - 7*f + 4*f + 5*f.\nAnswer: -2*f - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/138282900 and -27\/47035.\nAnswer: 138282900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r**2 - 6*r - 4. Calculate q(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 136. Let x = y - 50. Let j be (57\/11 - x\/(-44)) + -1. Solve 0*b + j = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26909611 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -4, -1, -61\/6, 3, 2\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 + 215. Sort 2\/25, -2, w in descending order.\nAnswer: w, 2\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -15. Let s(o) = 3*o - 2*o - 1 - o**i + o. Calculate the remainder when 5 is divided by s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -26*f**3 - 73*f**2 - 409*f - 59. Calculate v(-5).\nAnswer: 3411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 41. Let z(h) = 8 + 1 - 3*h + 2*h. Let m be z(9). Do m and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*x - 4, 0*x + 2*x = 3*z - 5. Suppose x*a - 3*p - 61 = 2*p, -2*p = -3*a + 86. Let h = 28 - a. Solve 5*l - 5 = b, l + 2*b = -h*l - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 105. Solve 10 = n*g + 5*r, -5 = 2*g - 5*g - 2*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -36. Let s = -12.79 + h. Let a = -2.21 + s. What is the second biggest value in a, 0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + sqrt(102)*-4*-1 - sqrt(102)))\/(sqrt(30)\/sqrt(5)*2).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-35)\/(-4). Let y be -2 + 1 - o - -4. Let t be (-2)\/6 + (-92)\/y + 5. Sort t, -9, 5 in ascending order.\nAnswer: -9, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 + 184883144*w\/17 - 4272722116915592\/17.\nAnswer: -2*(w - 46220786)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus 0.257?\nAnswer: 14.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879 = -293*o - 586 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 2*f - 2*f. Suppose 33*t - 29*t + n - 849 = f, 0 = -5*n + 5. Calculate the greatest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103120 + 203?\nAnswer: -102311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896802*-0.2.\nAnswer: -179360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4800.81232 and -0.1?\nAnswer: -480.081232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/15225 and -55\/4872.\nAnswer: 121800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.54 - 4.52. Let q = r + -0.02. Let k = 11.908 - q. Round k to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76535.\nAnswer: 5, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -59. Let y be (-62 - 0)\/((-2)\/5). What is the highest common factor of v and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 645*i**3 + 2481*i**2 + 2436*i + 108.\nAnswer: 3*(i + 2)*(5*i + 9)*(43*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 401*v**2 - 1834*v - 251278. Determine h(-404).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1117559280*h**3 + 914766315*h**2.\nAnswer: -6705355680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 15. Let q(y) be the third derivative of -y**5\/20 + 303*y**2. Give q(t(w)).\nAnswer: -27*w**4 - 270*w**2 - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 1. Let h(k) = 5*k**2 + 6. Let r be (-52)\/(-9) + (4 - 238\/63). Let u(i) = r*a(i) + h(i). Let o(y) = y - y + 20*y**2. Give u(o(p)).\nAnswer: -400*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 less than -1706926.7?\nAnswer: -1706927.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/66 - -1)\/3. Let f = -894283 - -894285. Put 4, 5\/2, g, f in descending order.\nAnswer: 4, 5\/2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*o**3 - h**2*o**2 + 3706798*h*o**5 - o**2 - 2*o + 557 wrt o?\nAnswer: -6*h**2 + 222407880*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08019 - 2.51981. Let i = 2.9 - -0.1. Sort i, -3\/7, -2, o in descending order.\nAnswer: i, -3\/7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {c: 2, w: 6, z: 9}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 3 = 6*a. Let d = -10 - -15. What is the second derivative of -a*p - 7*p - 5*p**d + 22*p**5 wrt p?\nAnswer: 340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 9*v + 204 = 0. Let l(p) = -4 + p**2 + 33*p**3 - 4*p + 1 - v*p**3. What is the remainder when 48 is divided by l(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3513220 - 5343?\nAnswer: -3523003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48\/10 - (-8)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -83, -50, 19, 136, 313, 562, 895?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199.60004626 - 199.6. What is o rounded to six decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3359, 6798, 10315, 13916, 17607, 21394, 25283?\nAnswer: 29280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/120*q**6 + 4*q**2 + 0*q + 0 + 1\/672*q**8 + 0*q**3 + 0*q**5 + 0*q**7 + 1\/48*q**4. What is d in v(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 - 18996*j + 18898. Let d(x) = -2*x**2 + 6328*x - 6299. Let f(o) = 10*d(o) + 3*n(o). Solve f(y) = 0 for y.\nAnswer: -1574, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*t**6 + 2*t**4 + 158684*t**3 + 7180603*t**2.\nAnswer: -1200*t**3 + 48*t + 952104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 11 = -u, 672*u - 677*u - 67*x = -22 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2 + sqrt(32))*2 + sqrt(16)\/(4*(sqrt(8) + (sqrt(8)*2 - sqrt(8)))).\nAnswer: -4 + 81*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36430353 and -16?\nAnswer: 582885648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -352431 times 0.2?\nAnswer: -70486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3849*x**2 - 774*x - 1.\nAnswer: -7698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -65\/4 - 5\/4*i**2 + 35\/2*i = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 236.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*h + 5*v, 3*v + 1 = -h + 8*v. Let q(f) = -f - 1. Let w be q(0). Let y = w - h. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**4\/20 + 17*j**3\/5 - 111*j**2\/10 + 57*j\/5 - 148. Solve s(l) = 0 for l.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77215 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5305 * -0.1414.\nAnswer: 750.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.566268127 to four decimal places.\nAnswer: -3.5663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11092 - 8608. What is the highest common divisor of 126 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1616165 + -1?\nAnswer: -1616166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 36, -4 in descending order.\nAnswer: 36, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6996*t**2 - 6990*t**2 - 6985*t**2 - 6997*t**2 + 27967*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*k + 5324 = 126*k. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*z - 22, 239*a + 18 = 2*z + 242*a for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:57 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.8. Let j be -15 + 4065\/270 + 2\/12. Sort u, -1\/10, j in decreasing order.\nAnswer: j, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b + 84*b = 8, b = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10) - (-5225)\/(-2926)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6524 and 84?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1976 and 1898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(240))\/(sqrt(36)\/(sqrt(3) + sqrt(3) + sqrt(3) + sqrt(243))))**2 + 3 + 0.\nAnswer: 768*sqrt(5) + 46099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -35*a + 1. Let s(r) = r. What is -l(z) + 5*s(z)?\nAnswer: 40*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from xsbxsxsmxbsxsys.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-580)\/174 - -10)*3\/(-26)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376440 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*z + 2*f - 168, 0 = 5*z - f - 222. Let d = z - 31. Solve -5*g + 35 = -2*w - 3*w, g - 4*w - d = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 32810991121 + 32810991121.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 382.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n**2 - 3*n)*(2 - 7 + 21)*(-4*n + 4*n + n - 2*n - n + 4*n + (0 - 3 + 2)*(n - 4*n + n) - 2*n + 2*n + 2*n - 93*n + 7 - 7).\nAnswer: 1392*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(10)\/(-2*sqrt(2)))**2.\nAnswer: sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*s - 9 = -32, -4*s = -4. Suppose f + 23 = u. Solve 0 = -i - 2*o + f, -4*o + 9 = -3*i - 3*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -622 or -628?\nAnswer: -628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6588, 7405, 8222, 9039, 9856, 10673?\nAnswer: 11490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (21 + 69)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 - 1)*(-u + 2*u + u)*((-1 - 1 + 4)*(0 - 1 + 3) + 2 + 0 - 3)*(-29*u**2 - 12*u**2 + 11*u**2) in the form y*u**3 + q + k*u**2 + s*u and give y.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -127. Let r(l) be the first derivative of c*l + 1 - 3\/2*l**2. Let m(a) = -a**2. Give r(m(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*m**2 - 78*m**4 + 161*m**4 - 96*m**3 - 86*m**4.\nAnswer: -3*m**2*(m + 1)*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 165 = 5*b. Suppose -5*n + 2*n + b = 0. Solve g - 6 = 2*p - 18, -2*g = 3*p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxooxxoooooo. What is prob of sequence oo?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15852*3.\nAnswer: 47556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.125814 decades?\nAnswer: 51.25814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156220, -17, 2.\nAnswer: -156220, -17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/((-4)\/40). Let x(k) = 7*k - 163. Let i be x(23). Put 1, i, y in descending order.\nAnswer: 1, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 3 + (sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) - sqrt(300)*1)))) + -3)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4526026 and 37\/70.\nAnswer: 158410910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) + (-18)\/81. Let f be c*(-15)\/10*4\/6. Let n be 3\/((-5)\/8 + 1). Put f, n, -1 in ascending order.\nAnswer: -1, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*h - 2*t - 9, -3*h - 5 = -t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 499059.3ml?\nAnswer: 499.0593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 9. Suppose -172*b = -188*b - 64. Let r be (-1 - -2)\/(-4 + 5). Let q(c) = 4 - 2 + r + c. Give b*t(o) + 11*q(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 + 1)*(0*r - 4*r + 5*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3143, 5537, 7931, 10325, 12719?\nAnswer: 15113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*t = -8, -43*x - 6 = -44*x - t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 185590*b**2. Let h(w) = -3*w**2. Determine t(h(v)).\nAnswer: 1670310*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 10:18 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.232 times -0.1?\nAnswer: -3.4232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601461.\nAnswer: 3, 7, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 3 = -r - x, -5*x = -2*r + 141. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/((-4)\/6))\/1. Suppose -4*u - 4*w + 23 = -9, 3*w - 9 = 0. Determine g so that y*g**4 - 3*g**2 + u*g**3 - g + 4 - 4 - 4*g**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 29*b**2 - 17*b - 134. Is s(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 - -126. Let b be ((-3)\/9)\/((-58)\/(-174))*2\/3. Is w != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-77)\/10 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-568)\/(-2))\/((-6*(-29)\/(-174))\/(2\/(-4)))\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:08 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -4\/3 (c) -5 (d) 3\/8 (e) 11.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 33. Let p = 13.44 - q. Let y = p + -0.4. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((3\/2)\/(-3)). Suppose 28 = c*b - 4*z, -9 = -4*b + 2*z + 11. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000d8 (base 16) in base 13?\nAnswer: -861c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 - v**3 + 6 as i + k*v + r*v**2 + c*v**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 286.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 399\/(-14))*(-96)\/(-5). What is the greatest common divisor of o and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3819 divided by -3\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.8836 - -1?\nAnswer: 51.8836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 47*g + 561. Determine b(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1560\/75)\/((-88)\/(-55))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 445 + 250. Let q = s - 134. Suppose 4*n = g - 28, -140 = q*g - 10*g - 4*n. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 13594171.6563194?\nAnswer: -13594177.6563194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7. Let w(t) = t - 8. Let h(j) = 3*f(j) - 2*w(j). Let m be h(-9). What is the greatest common factor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642295879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = n + 4 - 1, 12 = 5*n - 4*s. Suppose 5*i - 2*i = 0. Let g be 2\/((-8)\/5) - -1. Which is the closest to n? (a) i (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 71*a**2 - 32*a + 1947. Calculate b(-72).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 30 = 0. What is the units digit of -3 + (-1)\/((-3)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6454 - 1?\nAnswer: -6455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 2*l)*(-3818*l**2 + 3818*l**2 - 1 - 21*l**4).\nAnswer: 63*l**5 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 131*v + 4283. Calculate o(67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -834\/1321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24583 + -0.13.\nAnswer: 0.11583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -153641, -307282, -460923, -614564?\n\"Answer: -153641*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 - 1. Let k be b(4). Let t = k - 11. Solve j + 5 = -t*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -21. Find the common denominator of 9\/2 and f\/8 + (-243)\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2244307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*i = -0*i - 7, u - 3*i - 13 = 0. Let a be (4\/(-6))\/u*12. Let s = -7 - -12. What is the second biggest value in -0.1, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55275, -110594, -165955, -221364, -276827, -332350, -387939?\nAnswer: -443600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) -0.5 (c) -2 (d) 50 (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*t - 27 + 487*t - 161*t - 17 - 164*t.\nAnswer: t - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2405 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 279 (c) 62 (d) -0.4 (e) 0.31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248 - 248. What is the nearest to -2\/3 in 2\/17, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhmuccc. What is prob of sequence ul?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 40. Is u(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.32, -1, 2619, -4, 0.8 in decreasing order.\nAnswer: 2619, 5, 0.8, -0.32, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 6*c**2 - 3*c - 7. Let r be m(5). Let z = -27 - r. Calculate the least common multiple of z and 54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 - b**2 - 5 + 3*b + (1 - 2*b - 1)*(-3*b - 3*b + 3*b) to w + l*b + v*b**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -3, -43, 2.\nAnswer: -133, -43, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 38.31 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -1\/14, -1\/4, -2\/3, 1078 in decreasing order.\nAnswer: 1078, -0.03, -1\/14, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244593143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, d: 2}. What is prob of sequence ee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(-55) + 0 + (-3)\/(-3). Let m be -26*6\/(-3)*1. Let r = 362\/7 - m. Put r, 2, b in increasing order.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(20)\/sqrt(4) + sqrt(5) - -6*sqrt(80) - sqrt(50)\/(sqrt(110)\/sqrt(99))) + -4 + sqrt(45)\/(sqrt(9) - (sqrt(9) - sqrt(81))) + -2 + -5)**2.\nAnswer: -1210*sqrt(5)\/3 + 16214\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (0 + -9)) + -1 - (7 - -9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583399?\nAnswer: 239, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44726 is divided by 4467.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*k + 395*k + 11088 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1140 (base 10) to base 14.\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 36*d**2 + 1\/3*d**6 + 77 + 4*d**5 + 40*d**3 + 0*d + 37\/2*d**4. Determine r, given that v(r) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 75 = -u - 72, -5*s + 10 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -218 in descending order.\nAnswer: 2, -4, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Let k(z) = -z**2 + z. Let r(u) = 5117*u**2 - 8*u + 1. Let a(j) = 5*k(j) + r(j). Let w be a(t). Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 12. Let b be w(-5). Is b\/(((-6)\/1191)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4212) + 4*(sqrt(4212) + 1) + sqrt(4212))*-4 + 0 + (sqrt(4212) - (sqrt(4212) + sqrt(4212)*-2 + sqrt(4212))*-4) + -2)**2.\nAnswer: 14904*sqrt(13) + 2228472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/18 - 1*100751\/(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 + 2\/3*z**3 + z**2 + 0*z + 1\/12*z**4. Differentiate o(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 23 - 3. Suppose s*k + 5*r = 1, 9*k + 1 = 4*k - 4*r. Let g be 180\/120*(58\/(-26) - k). Is g > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6 - -254*(-4)\/(-168)). Suppose -i*b + 2102 = 569. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 74\/5 of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -29*c - 198. Let n be d(-7). Solve -n*p + 32 = 57 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 29*y**2\/2 + 5*y - 10764. Let l(q) = -595*q - 102. Determine -5*l(t) - 102*x(t).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-30)*(1\/(-13))\/1*-5\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 33, 38, 25, -18, -103, -242?\n\"Answer: -2*z**3 + 9*z**2 - 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061 (base 14) in base 10?\nAnswer: 11061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r + 258. Determine k(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120757912?\nAnswer: 2, 11, 23, 59663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4144 is divided by 4065?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73331, 73327, 73319, 73307?\nAnswer: 73291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from mwmmmmmmcmmmmmwmmwcm?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -327, -230, -119, 0, 121, 238, 345, 436?\n\"Answer: -i**3 + 13*i**2 + 65*i - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8102 - -1.419. What is n rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -21*v - 130. Let n be (2\/(-6))\/((12 + -11)\/18). Let k be d(n). Sort -3\/5, k, 16.\nAnswer: k, -3\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1373251*j**3 - 128*j**2 - 405889271 wrt j.\nAnswer: 4119753*j**2 - 256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 8. Let s(r) = 3*r**3 - r**2. Let l(q) be the second derivative of -q**5\/4 + q**4\/12 + 601*q. What is n*l(b) - 7*s(b)?\nAnswer: -b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 5\/33*u**3 + 38*u**2 + 0*u + 1\/330*u**5 + 0 + 1\/22*u**4. Factor o(q).\nAnswer: 2*(q + 1)*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-23))\/(1448\/(-33304)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + 6 - 4) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 9674.\nAnswer: 3869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**6\/6 + 31*y**2\/2 - 35. What is the second derivative of k(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + 0.3. Let d be (-4 - (-7 + -3))*((-1098)\/162 + 7). Put d, x, 0.6 in descending order.\nAnswer: x, d, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 34*s**7\/7 + 7*s**3\/3 + 31. What is the third derivative of x(v) wrt v?\nAnswer: 4080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*f + 44, 3*x - 10*f = -5*f + 72. Calculate the remainder when 150 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105396704?\nAnswer: 2, 7, 470521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89670 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + -1. Let h = 28 + o. Differentiate h*p**2 - 15*p**2 + 2*p**3 + 3 wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z**2 + 6*z + 6. Let x be y(-1). Solve 3*l - 2*l - 2*u = 11, -3*l + u + x = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11007 is divided by 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2117.3 to the nearest ten.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4345 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 446, 440, 432, 422?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17234.\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3645) + (sqrt(3645) - (sqrt(3645) + -1)).\nAnswer: -3 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4045 divided by -3\nAnswer: -4045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 57811348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -736 by 4.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*r**4 - 14348*r**2 + 222150?\nAnswer: 84*r**3 - 28696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.6. Let m = y + -1. Sort m, -2\/9, 0 in descending order.\nAnswer: 0, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 345649212*q + 345649212*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5+-27\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48142029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/7 - (-160)\/14. Suppose 2*z - 5*z = 4*l - i, -3*l = -2*z + 13. Factor 2\/11*a**4 - 2\/11*a**2 + 2\/11*a**3 - 2\/11*a**z + 0 + 0*a.\nAnswer: -2*a**2*(a - 1)**2*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqrg when four letters picked without replacement from {r: 3, g: 1, y: 3, q: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107236501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 11*k**2 - 5*k + 17. Let s be (-318)\/39 + 8\/52. Let a be t(s). Let j = a - 137. Calculate the greatest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-i**3 + 2*i**4 + i**3) - i**4 + 0*i**4 + 3*i**4 + (-i + i + 2*i**2)*(-2*i - 2*i**2 + 2*i).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/((-113)\/(-226))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 14 = -2*d + 20, -3*d - 93 = 3*a. Let k = a + 81. Suppose c = -0*c + k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1435, 2, -4 in descending order.\nAnswer: 1435, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - 15\/(-9). Let i(v) = v**2 - 5*v + 6. Let k be i(2). Let u = o + k. Solve 3*f = -4*c + 5*f - 20, -u*c - 6 = f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100120011 (base 3) in base 10?\nAnswer: 26653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257 - 139. Let k = 377433.8159 - 377829.8. Let g = f - k. Round g to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:50 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/2*144\/(-96). Let t be ((-105)\/(-25) + -3)\/(u\/(-45)). Let a(n) = n**3 - 9*n**2 - 2*n + 8. Give a(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -1. Let q be (-5)\/j - 11\/(-4). Suppose q*g = 5*g - 18. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + -50?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10)**31 assuming j is positive.\nAnswer: j**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0 (c) -0.1 (d) 0.003\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*i + 20, -4*i = -3*z - 2*i + 15. Let l(c) be the first derivative of 0*c**3 + 0*c**2 + 1\/5*c**z - 1 + 2*c + 0*c**4. Differentiate l(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3770)\/78 + 27 - -19.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/8391 and 139\/18?\nAnswer: 50346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 870615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Suppose 3*h + z = 4*h, 0 = -5*k + 2*h + 30. Suppose -3*s = 2*s. Put s, k, 1 in decreasing order.\nAnswer: k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 204, 351, 546, 783, 1056, 1359?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.032 - -0.17. Let z = p + -0.232. Are z and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08404 + -2.91596. Put d, -4\/3, -5, -3.36, -0.2 in decreasing order.\nAnswer: -0.2, -4\/3, d, -3.36, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065882 - 20*b**2 + 1065882.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*o - 24, -2*j - 2*o + 3*o + 13 = 0. Let g = 2 + j. Calculate the remainder when 11 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -185 and -631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22552)\/88 - 3*-1. Let x = 253 + i. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-35)\/15 - 0. Which is the biggest value? (a) l (b) 2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from qoyowqqwq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/(23\/12 + -2). Suppose -y + x*p = 5, -y - 2*p = -3*y + 2. Let v(u) = 3*u - 4. What is v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*p - 153, -2*s - 5 - 116 = -3*p. Calculate the remainder when 144 is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - 0 - (-75 - 2) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (68\/(2 + 0))\/(4\/32) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(156)\/(sqrt(12) + sqrt(108) + sqrt(12)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 106 = 7. Suppose -34*k + f*k = -672. What is the greatest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6*9\/12*-4. Let g(t) be the third derivative of t**4\/24 + t**3\/3 - t**2. Calculate g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/(12\/(-2)))*19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*o - 28. Is 20 a factor of 1*10*(o - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Let k be (15\/(-45))\/(o\/(-6)). Let y(h) = -h - 15. Let r be y(-11). Put r, k, 5 in ascending order.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1266*p**3 - 7749 wrt p.\nAnswer: -3798*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 118, 171, 220, 265, 306, 343?\n\"Answer: -2*f**2 + 63*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26125 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*x = 175*x + 4*o + 31, -45*x - 4*o = -13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000000100 (base 2) to base 3.\nAnswer: 100010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -52. What is the third derivative of 17*q**2 + 7*q**4 - 10*q**2 + 0*q**n wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239026045*u**4 + 325280444 wrt u.\nAnswer: 956104180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 146312*a**2 + 7 - 185184*a**2 - 7.\nAnswer: -331496*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 7\/10, -1\/948, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 1.52. Let a = 2 - m. Let w = 0.5 - -2.5. What is the nearest to 1 in w, a, 2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27080531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034889 is divided by 145340.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkyrsskybrkyrybd. Give prob of picking 1 d, 1 y, 1 b, and 1 r.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 - 382 + 1891 + n - 379 - 389 - 369.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 714*r**3 - 7*r**2 + 2*r + 16. Let g be 68\/8 + (-5)\/2. Let s be m(g). Round s to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8287 is divided by 330.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 708 = -4*h, 9*h - 4*h + 4*b = -885. Are h and -179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -5637\/8, -4, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27650 and 492960?\nAnswer: 17253600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1307 + 1307. Let t(y) be the third derivative of u*y + 0 + 25\/14*y**3 - 5\/28*y**4 + 1\/140*y**5 + 5*y**2. Factor t(s).\nAnswer: 3*(s - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.041, 0.17, -0.201?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3 - 71793*z**2\/4 - 80537163*z - 20133169 = 0.\nAnswer: -8974, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12884 divided by 1\nAnswer: 12884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from lllocohonll.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 = 880570*r - 880554*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*r + 97*r - 192*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -310, -13\/72.\nAnswer: -310, -13\/72, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*n - 425*n + 15 - 1 - 14)*(-243 + 64*n**2 + 243).\nAnswer: -22656*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -285, 7, 2, -2, -1 in decreasing order.\nAnswer: 7, 4, 2, -1, -2, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 71 = -3*p. Suppose 2*m + 2*r = 666, 463 = 5*m + p*r - 1194. Suppose m = -5*h + 1219. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/441 (b) 69 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3929*v**2 - 1575*v**2 - 1878*v**2 as t*v**2 + k + a*v and give t.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)\/(m\/(m*m**(1\/4)*m))*m\/m**13*m*m\/m**9)**(1\/3) assuming m is positive.\nAnswer: m**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.7 - -17. Let r = 1.3054 - k. Round r to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14940, 14944, 14950, 14958, 14968, 14980?\n\"Answer: v**2 + v + 14938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2 - 20*h - 9. Is i(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 361*l**2 - 721*l**2 + 367*l**2 - 7. Suppose 50 = 4*f - 2*i, -2*f + 73 = 3*f + i. Let s(h) = h**3 - 2*h**2 + 2. Determine f*s(k) + 4*a(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17. Let x = 0.8 - 1. Is x bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*574575.\nAnswer: -229830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12586 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 2. Let y be m(-3). Let n(f) = 0*f**3 + f**3 - 5*f**2 - y + 3*f + f**2. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 653\/5. Let o = 25 - 22. Which is the nearest to 0? (a) z (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1503*l**2 + 42*l**2 + 83*l**3 + 34*l**3 + 24493 - 24493 wrt l?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 25*s - 3*q - 164 = 0, 10*s - 4*q + 4 = 9*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2.23 (c) -3\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119497318.\nAnswer: 2, 17, 211, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 - 56*l - 392 = 0. What is l?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 2*b**3 + b**3 + b + 98 - 188 in the form s*b**2 + l + y*b + j*b**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 1:29 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose q + 0*q - y = 0. Let u(t) = 10*t - 2. List the prime factors of u(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**5*x)\/x**(4\/7)*(x\/x**(-1))**(-6) assuming x is positive.\nAnswer: x**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*g = -288*g + 64 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19220147 is divided by 192?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s - 135 = 0. Let k be 1\/(3\/s*3). Suppose 5*x = -3*i + k, -x + 2 = -4*i - 17. Solve -x*p - 2*p + 25 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4330 is divided by 1438?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 16) in base 10?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u - 1. Let q(f) = -2*f - 8. Let s be q(-6). Let k(b) = -5*b**3 + 4*b + 5. What is s*o(m) + k(m)?\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*r + 3*z, -11*r + 6*r = 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 131*t + 10476. What is j(-187)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9096182 years in millennia?\nAnswer: 0.0009096182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246340 or 246344?\nAnswer: 246340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/(0 - -14) + -1*56\/9. Which is greater: -136 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-315)\/(-12))\/5)\/(21\/56). Suppose 9*n = w*n - 20. Solve 2*v - n*d = 16, 3*d + 4 = 4*v + 2*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -7) + (1 - 0) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3810.16 rounded to the nearest 10?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**2\/m))\/(m*m**(-7\/4)\/m))\/(m**(5\/6)\/m*m\/(m*m**(-3\/8)))*(m*m*(m**2*m)\/m)**10*(m*m*m**(-1\/3))**(-1\/3) assuming m is positive.\nAnswer: m**(2951\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1581 and 13857?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2485 + -14761\/6. What is the common denominator of -91\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(5\/3) - -10. Let d(t) = 2*t**2 - l*t**2 + 3*t**2 - 2*t**2. Let n(a) = 9*a. Let h(v) = -4*v. Let m(r) = 10*h(r) + 4*n(r). Calculate m(d(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 480*i**2 + 6845*i + 23790.\nAnswer: 5*(i + 6)*(96*i + 793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 27.34. Let w = x - -0.484. Let r = -14.656 - w. Round r to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -5a?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6427694 meters to millimeters.\nAnswer: 642.7694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1001 and (-5)\/((-150)\/205) + (-28)\/(-8)?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 y, and 1 l when four letters picked without replacement from dywyyyzzdlgzwg.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1152)\/(-126)*(-189)\/(-162).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -6 (b) -0.5 (c) 2\/17 (d) -2\/35 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 1\/8*n**4 + 4\/3*n**3 - 8*n + 0*n**2 - 1\/60*n**5 + 0. Let j(l) be the second derivative of q(l). Give j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 7*x + x)*(-941 - 121 - 89 - 90 - 346) in the form y + l*x and give l.\nAnswer: -11109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -399 * -208339.\nAnswer: 83127261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933353225 to the power of 1\/2, to the nearest integer?\nAnswer: 43970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 313, 413, 513?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (604 - 604 + 13*g)*(3*g**2 - 4 + 4)*(g**2 + 0 - 3*g**2 + 2) + 23*g**5 - 425*g + 425*g.\nAnswer: -55*g**5 + 78*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/8)*u)\/u*u)\/(u\/(u**(-1)\/u*u)))**(-1\/16)\/((u**3)**(-12))**(3\/11) assuming u is positive.\nAnswer: u**(13813\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m + 8*m = 453 + 135 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 3*b**2 + 3*b + 4. Suppose 0 = -3*j - j - 12. Let y be w(j). Suppose 0 = -4*i + 6 + y. Solve 12 = 4*q - 4*d, -4*q + d = -5*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, i: 4, j: 1, q: 1, v: 7}. Give prob of picking 1 j and 2 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Let x be c(4). Suppose x*p = 5*p. Suppose 4*n - 112 = -p*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-1 - -1))\/1. Solve -3*d + d - 3*v + 13 = h, v - 7 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/3 - 38*u**3\/3 - 70*u**2 - 98*u\/3 + 1372\/3 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*h**3 + 141*h**3 - 284*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let t(g) = -g**2 + g - 10. Let i(j) = -4*c(j) + t(j). Give i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764475, 3057966, 6880451, 12231930, 19112403, 27521870, 37460331?\nAnswer: 48927786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(4*t**3 - t**3 + 0*t**3) - 2*t**3 - 2*t**3 + 3*t**3 + (0*t**2 + 0*t**2 - t**2)*(-13*t - t + 2*t) + 3*t**2 + 2*t**3 - 3*t**2.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 54*a\/7 - 195\/7.\nAnswer: -3*(a - 13)*(a - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 26, 1\/2, 2\/3, -0.0116?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 36, 119, 276, 531?\n\"Answer: 4*i**3 + i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 41*w**5 + 5*w**4 + 5*w**3 - 2*w + 4. Let f(y) = -y**5 - y**4 - y**3 - 1. Let n(t) = -5*f(t) - m(t). Find the second derivative of n(p) wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/280 and -131\/7993510.\nAnswer: 31974040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 30920, -205, 6, -5 in descending order.\nAnswer: 30920, 6, -5, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k - 85*k - 14*k + 7294592 = 0. What are the prime factors of k?\nAnswer: 56989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*v + 160 = 418*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -8819.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = w, -3*w + 10*w - 16 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, 2 in descending order.\nAnswer: 3, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 23 = -2*c + 3*q, c - q = 33. Let u(g) = -g. Let x be u(-5). Solve -2*o = 3*o + 25, x*k - 5*o = c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, 2 in ascending order.\nAnswer: -17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 4*l, -2*t = 2*l - 12. Solve 4*s + 21 = -3*v, -5*s + t*v = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -1. Suppose -13 - 51 = -4*m. Suppose 4*d = w + 4*w - m, 4*w - 17 = -d. What is the highest common divisor of w and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - x + 38 = 54, -2*j - 3*x = -29. Suppose -35 = -3*z + 1. Solve -j*s + z = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 - 4. Let l = -111\/22 - -28\/11. Sort -2, l, n in ascending order.\nAnswer: l, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -735\/2 - -359. Let d = -8 - w. What is the common denominator of d and -71\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64337309.\nAnswer: 73, 881333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27332*y - 40448 wrt y.\nAnswer: -27332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:38 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 796744 + 4*x - 3*x - 797033 - 4*x as r + l*x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -122*d**2 + 4*d - 5. Let v be k(1). Let l = v + 100. What is l rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**3 + 0*g**4 + 0 + 1\/60*g**5 + 0*g - 21*g**2. Let f(s) = -24*s. Give i(f(v)).\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (0 - 0) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/12 + l**3 - 3*l**2 + l. Suppose -13*i + 4*i + 36 = 0. Is z(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/6)\/(3\/24). Suppose o = 3*w - 4*w. Is (-2530)\/w + 6\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1421 + -1083. Calculate the remainder when f is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (5 - (-4 - 55)) - (-4 + -1)) + -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 8*z**2 + 4*z - 8. Calculate g(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from pmpmpbbbpbb?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 4*t + 3. Let j be u(2). Suppose 0 = -2*y + 4, 0 = -j*c + 3*y - y - 1. Suppose 4*k = q + 7, 0*q - c = -k + q. Solve k*f = 6*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32070.\nAnswer: 2, 3, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/1095)\/(6\/15). Is s at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*g + i, 33 = 3*g - 0*g - 3*i. Let m = 70 + -67. Calculate the remainder when g is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 578541770 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 + x. Let d(j) = 20*j**3 - 30*j**2 + 50*j - 15. Suppose 2*m + 70 = 20. Let h(v) = m*t(v) + d(v). Factor h(l).\nAnswer: -5*(l - 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**2 + 0*l**3 - 8*l**3 + 9*l**3 + 4*l**3 wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.6 - -23.9. Let o = a - -26.699999144. What is o rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(16\/6 - 2). Sort b, 4, -2.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1539?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3948393*x + 134*x**2 - 3948393*x + 2 in the form h + d*x**2 + a*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b = 5*o - 40289, 2*o = 2*b + 16106. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (-2*sqrt(77) - sqrt(77)))*-4 - ((sqrt(77) + (-1*sqrt(77)*6 - sqrt(77)) - sqrt(77)) + sqrt(77)))*-2)\/((-1*sqrt(66)*4)\/sqrt(864)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nic when three letters picked without replacement from ciijojicjnoj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/21442 or 1?\nAnswer: -13\/21442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42553 * -0.9\nAnswer: 38297.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 2. Let i be r(0). Let d be -1 - i - 45\/39. Let s = -3.4 - -3.4. Sort d, -0.2, s.\nAnswer: -0.2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9 - 4) + -1 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)*(-8 + 6 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/3 (b) 0.29 (c) 0 (d) 3\/4 (e) 9\/7 (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b. Let f(w) = -w**2 - 6*w - 8. Let l = -33 - -28. Let o be f(l). What is the units digit of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(sqrt(85)*2 + sqrt(85)))\/(sqrt(80)*2 + sqrt(80)))**2.\nAnswer: 12*sqrt(17) + 217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33141189 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(605) + (sqrt(605) - sqrt(605)*4) + sqrt(605)) + (-3 + sqrt(605))*1)**2 + (-4 + sqrt(605) + -2 + -4 + -2)**2.\nAnswer: 10438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 626632.9986 - 626572. Let r = -5.1 - 55.9. Let u = q + r. What is u rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11257 - -56286\/5. Let a = -5\/48 - -169\/240. Factor -a + j*f**2 - 2\/5*f.\nAnswer: (f - 3)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -n. Let f be (2 - 3)\/(n\/(-2)). Do f and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4196457*b*c**2 - 22731*b*c + 2*b + 3*c + 1 wrt c.\nAnswer: -8392914*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**3 + 10*s**3 + 2 + 0 - 6 + 3 - 4*s to i + l*s + q*s**2 + x*s**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 3*o**2 - o - 3. Let f be h(3). Let q = -5636 - -5633. Sort 1, f, q, -4 in increasing order.\nAnswer: f, -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l + r, -l - 2*r - 68 = -59. Let q = 26 + -15. What is the smallest common multiple of q and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 2748 = 588. Let y = 281 + m. Solve -2*d + t - 7 = 0, y*d + 2*t = t - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1 - 2*z - 1 + 0 - 3. Let d be a(-6). Let r be ((-900)\/(-105))\/(1\/d). What is the greatest common divisor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 38*o - 152. What is the least common multiple of 1032 and n(11)?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*j = -36, 9 = s - 0*s - j. Suppose 3*z = 5*v + 4*z - 23, 3*v - 17 = z. Calculate the remainder when s is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s + 3*k + 1, 9 = -3*s - 5*k. Let j(i) = 8*i - 173. Let p be j(22). Find the first derivative of -p + 2*f**3 + 3 - s + 18*f**3 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27900*x**2 - 4381*x wrt x.\nAnswer: -55800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 37 - 50 = 4*c, -2*t + 21 = 3*c. Let s be 2\/(-10) + 213\/t. Suppose 0 = -a - a + s. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 13*q**7\/210 - 3*q**5\/10 + 6*q**2 - 8*q. Let u(x) be the first derivative of a(x). Find the third derivative of u(r) wrt r.\nAnswer: 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25192260 divided by 2?\nAnswer: -12596130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 - 2?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88082580 and 60.\nAnswer: 88082580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 1 + 0 + 7 + 4. Let a(s) be the second derivative of -s**2\/2 + 3*s. What is -10*a(w) - j(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*((-240)\/9)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59 (b) -2\/7 (c) -10\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 13 + 53*b**3 + 9 + 3. Let w(s) = 9*s**3 + 4. What is -25*w(q) + 4*x(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 120 + 84 = 0. Let f(w) = w**2 - 5*w + 4. Let r be f(7). Suppose -k*b + r = -b. Let m(p) = p**3 - 5*p**2 - 3*p - 1. Determine m(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23574066*o**3 + 114393122*o.\nAnswer: 141444396*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119040 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1518, -3037, -4556, -6075, -7594, -9113?\n\"Answer: -1519*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Suppose -4*r = -2*v - 12, -3*v + 4*r - 26 = -8*v. Let z(q) = q**2 + 5*q**v - 5*q**2. Determine z(b(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n**(-7) assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7406 = 66*n - 59*n. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5034, 10675, 16342, 22035, 27754?\nAnswer: 33499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Solve -q + g = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/5)\/((-1)\/(-21)*-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-15)*(-9)\/(-2). Let q(p) = 22*p - 5. Is q(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -62. Calculate the greatest common factor of 51 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*r - 312*r - 275*r + 672*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443476921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.045 * -0.025785.\nAnswer: 0.001160325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**3 + 4*y**2 + 3*y. Let m(g) = -3*g**3 - 3*g**2 - 2*g. Let t = -14 - -12. Give t*d(b) - 3*m(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 121?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5 + 7*p**4 - p**3 - 43*p**2 + 36 = 0?\nAnswer: -6, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190145, -380291, -570437, -760583?\nAnswer: -950729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*u**4 - 4*u**3 - u**2 + u + 7 wrt u?\nAnswer: -2688*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1688229 and 2759.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 18*w**2 + 12*w - 12. Let a(b) = 52*b + 2379. What is the remainder when t(-16) is divided by a(-45)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + w + 16, -7*c - c - 38 = 2*c - 9*c + 10*w - 5*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 4. Let g(w) = 7*w - 50. Let n be g(7). Let v be l(n). Factor 2\/9*o**2 - 4\/3*o + v.\nAnswer: 2*(o - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.3, -1, -233, -0.4, -480?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - -1*sqrt(77)))*-3)\/sqrt(11) + 5.\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -44, -107, -196, -317?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s - 10. Suppose 0 = -71*q + 74*q + 9. Let z(d) = 15*d + 7. Let t(k) = q*z(k) - 2*m(k). Give t(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (19 - -6)) + 17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:55 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193479 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*x + 2754, x - 2750 = -3*k - x. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1288 - 1288 - 94*g)*(-1 + 1 + 1 + (3 - 7 + 2)*(0 + 1 + 1) + (-4 + 1 + 2)*(2 + 3 - 6)) - 5*g + 3*g + 3*g.\nAnswer: 189*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22*k + 21. Let q(r) = -59*r - 63. Let c(m) = -8*o(m) - 3*q(m). Calculate c(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(2\/7)*m**(-5)\/m**(-2\/9) assuming m is positive.\nAnswer: m**(-337\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.459*-5.\nAnswer: -12.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 839*n**3*p**4 + 3268*n**3*p + n**2 - 5*n*p**5 + n*p wrt p?\nAnswer: 10068*n**3*p**2 - 100*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -87, 4, -674 in descending order.\nAnswer: 4, -1, -87, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 242188.0018 - 242208. Let m = 20 + j. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577194217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3840 - -11?\nAnswer: -382a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 51. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*q = 138*q + 4940 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 - (-4)\/6*6. Calculate the remainder when 105 is divided by (-6)\/((-108)\/474) - w\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5) + -5)**2 - (sqrt(5) + 0)*5.\nAnswer: -15*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34261350889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 - 7*m + 6. Let g be o(6). Let s = -46 + g. What are the prime factors of s\/(-12) - (-1)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5 - 90*s**4 + 494*s**3 - 1038*s**2 + 944*s - 312 = 0.\nAnswer: 1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4433247 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + 0 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 59*p + 756. Calculate y(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -12 - (2 - (-8 - -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -7*f + 63. Suppose 0 = -2*i + 3*g + 85 + 65, -3*g - 12 = 0. What is the lowest common multiple of i and f?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2512, 2553, 2594, 2635, 2676, 2717?\n\"Answer: 41*x + 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppcpcpccppcpppppp. What is prob of picking 2 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 526909.39 days?\nAnswer: 75272.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -37. Let i = -17.000017 - p. Round i to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*p**2 + p - 25*p**2 + 2*p**3 - 2*p + 0 + 1 to h*p**3 + d + x*p**2 + k*p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -251\/4. Let n = 0.01 + -0.31. Let q be 14\/70*(24\/(-9) + 1). Which is the nearest to q? (a) r (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -348885659880789 - -348885003854416.000397. Let v = b + 656025919. Let i = v + 454. What is i rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918 a factor of 1574570592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 48*i - 474. What is g(12)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -131332132?\nAnswer: -131332202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - u + 23. What is the remainder when n(0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 17*k - 6. Suppose 3 = -u - 6. Let j be w(u). Suppose 5*p - 5*b = 570, 5*p - j*b - 569 = b. Calculate the remainder when p is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = f, 4*z = -z - f. Solve 5*n = c - 0*c + 21, -4*n - 2*c + 14 = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226599911*x**2 - 22437358*x?\nAnswer: -453199822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1691973 equal to -1691974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40677 by -7.\nAnswer: -5811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8315 - -99781\/12. Let i(h) be the second derivative of 0 - 1\/6*h**3 - 3\/2*h**2 - d*h**4 + 8*h. What is i(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -30804?\nAnswer: -15402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*h**2 + 205*h - 205*h.\nAnswer: 355*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 4*l - 17 + 68, -4*b = 5*l - 0*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -599 + 1046. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-122508)\/328)\/((-2)\/16) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3997, 1, 3, 2695, 5.\nAnswer: 1, 3, 5, 2695, 3997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 3*w - 4. Let j be p(-2). Let v be ((0 - -8)\/(-1))\/j. What is the third derivative of -7*h**4 - 16*h**4 - 5*h**2 + 23*h**v + 11*h**5 wrt h?\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1342273557 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142232 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 88*r + 600.\nAnswer: -2*(r - 50)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452403552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47590, 47527, 47456, 47377, 47290?\nAnswer: 47195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/3 (b) 12 (c) -41016 (d) -2 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-8)\/101) + 14. What is the greatest common factor of r and 12420?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 14. Let f be h(-12). Let t be ((-8)\/f)\/88 - 4\/(-8). Are 2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*x - 47 + 1067 - 210 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 0.52 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2218.7 + -2219. Which is the nearest to k? (a) 1\/3 (b) 0.4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24122631 divided by -73.\nAnswer: 330447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-417 + 43*i - 161*i + 119*i + 37)*(-3 - i + 3).\nAnswer: -i**2 + 380*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-2)\/(-8) + ((-74155878)\/36)\/(-79)?\nAnswer: 2, 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.41, 2\/5, -0.3, -0.2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-105)\/60. Let m(b) = -b**3 + 13*b**2 - 26*b**2 + 12*b**z. Determine m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - -108 - (69 - 63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138691055?\nAnswer: 5, 31, 109, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.338 and -304758.\nAnswer: -304771.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -52609333*a**2. Let l(n) = 3*n**2. Give l(m(v)).\nAnswer: 8303225756114667*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*n = 7 + 10, -2*n + 58 = 4*t. Let v = 20 - t. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 3, c: 3, s: 2, m: 7, o: 5}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279228.\nAnswer: 2, 3, 273269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 - 5)*(-2 + 2 + 8)*(-5*m + 5*m - 2*m) in the form w*m + b and give w.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -4\/3*u**3 + u**2 + 0*u - 3. Find the second derivative of z(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + 243*f**2 + 5 - 243*f**2 + (f**2 - 2*f**2 - f**2)*(0*f**2 - 3*f**2 + 0*f**2) as v*f**2 + g*f**3 + t*f + c*f**4 + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 125670 divided by -125670?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*r - 102, 5*d + 2*r = -r + 255. Let p = d - 11. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208938720*o**3 - 34857760*o**2 + o - 1 wrt o?\nAnswer: 1253632320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11747117 is divided by 280?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 - 11*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/4 + 111*d\/4 - 665 = 0.\nAnswer: 35, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.24 - 3.2. Let n = 0.24 - j. Let u = -448 - -448. What is the closest to u in 0, n, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - (-876)\/28. Let q(f) = -12*f - 8*f - 12*f - f**3 + o*f. Calculate q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -85, -3.1, 2, -5, 0.2?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 - 1968*z**4\/5 + 82032*z**3\/5 - 272622*z**2\/5 - 799137*z\/5 - 88506 = 0.\nAnswer: -165, -1, 6, 149\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7799\/10, -12, -2\/37?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + c = 20, -4*g - 5*c = -2*c - 12. Let z(a) = 3*a + 81. Let o = 35 - 62. Let s be z(o). Solve s = 2*w + 2*d - 4, w + 2*w - 5*d = g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2628018 and -17\/43654299.\nAnswer: 785777382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 6. Is d greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -14*g**3\/9 - g**2\/9 + 4*g\/9 - 52. Solve y(k) = 0 for k.\nAnswer: -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**3 + 0*c**3)*(-158902*c - 2103*c**2 + 158902*c).\nAnswer: -4206*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(28))\/(sqrt(24)\/(sqrt(24)\/sqrt(4))) + (3 + sqrt(21)\/(sqrt(3) + sqrt(12)\/sqrt(4) - sqrt(3)))*-5.\nAnswer: -17*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**3*q**3*y - o**3*q*y + 3*o**3 + 2*o**2*q**3*y - 2*o**2*q**2 - 16*q**2 wrt o.\nAnswer: 24*q**3*y - 6*q*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*m**2 + 13*m**2 - 11*m**3 - 41*m**2 + 2 + 2*m)*(-3 + 0 + 5) as u*m**2 + t + q*m**3 + o*m and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13667*l**3*w**3 - 3478*l*w**3 - 54727*w**3 + 277*w - 1 wrt l.\nAnswer: -41001*l**2*w**3 - 3478*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 - 3*o**2 + 5 + 2 in the form u*o**2 + r + d*o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2000 + 103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*c**2 + 1)*((-2 - 1 - 1)*(-3*c - c + c) + (4 - 4 + c)*(-2 - 8 + 1)).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11233605 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x - 2*x)*(x + 2*x - 5*x) - 4*x**2 - x**2 + 3*x**2 + x**2 - 8 - x**2 - x**2.\nAnswer: -5*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-715)\/(-6)))\/((-17)\/(-187))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/3*x**4 + 0*x**2 + 51*x - 22\/3*x**3 + 0. Factor g(a).\nAnswer: 4*a*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k + 2. Let c be g(1). Let v be ((-4)\/5)\/((c\/3)\/100). Is 6 a factor of 1\/((v\/(-1590))\/(4\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -240, -361, -482?\n\"Answer: -121*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19708\/17721 + -2\/1969. Let i = -86\/11 + 598\/99. Let g = i + m. Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from ribvvwvrvbbvvbvbv.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4699355 + -4?\nAnswer: -4699359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 890377?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*m = -594*m + 418*m + 681 - 19113 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 9, 11, 13, 15?\n\"Answer: 2*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*16\/(-240)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 - 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b. Let c(q) = 40*q**2 - 98*q. Give c(h(l)).\nAnswer: 2560*l**2 - 784*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148c4 (base 13) to base 4.\nAnswer: -21133031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 7*l - 202. Let v = l - -149. Let a = -20 + v. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = h - 10, -2*h + 9 + 9 = -4*w. Calculate the greatest common divisor of h and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680884.\nAnswer: 2, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -39*z**2 + 7*z + 918. Let o(u) = -22*u**2 + 4*u + 459. Calculate 4*b(h) - 7*o(h).\nAnswer: -2*h**2 + 459","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31539473 = 31539472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 6. Let i be c(6). Suppose d = -3*t + 26, -5*t + 4*d + i = -t. Suppose t*k = 5*k. Solve -3*l = 4*r - 21, k*l - l - 3*r = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**3*a*a)*a**(-11) assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, x: 6}. What is prob of picking 4 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**8*l)\/l)**(-12\/11)*l**(-2\/39)\/l*l*l*(l**4\/l)\/l)**2 assuming l is positive.\nAnswer: l**(-4958\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*(-68)\/238*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 + 432 - 432 + 43*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((-21 + 15 - 8) + (-15 - -126))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 67 = 5*z, 7*z + 2*r + 34 = 9*z. Solve -2*h - 2*w - 4 = w, z = 4*h - 5*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 - 113037*a + 3049812 = 0 for a.\nAnswer: 27, 37652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24293 - -0.19293. Which is the closest to -2? (a) -4\/7 (b) -5 (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 - 34*w**2 + 2*w + 1. Let k(s) = 7*s**3 + 40*s**2 - 3*s - 2. Let o(u) = -5*k(u) - 6*r(u). Determine o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.6. Let c = u - 0.1. Let m be 14\/18*1 + -1. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13498, 13491, 13474, 13441, 13386, 13303?\n\"Answer: -z**3 + z**2 - 3*z + 13501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let d(v) = -54*v. Let u(s) = 111*s. Let h(i) = -11*d(i) - 6*u(i). What is h(z(j))?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) -1\/2 (b) 75 (c) -5 (d) 6016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k + 456. Let x be v(-29). Let a(u) = -u**3 - 9*u**2 - 10*u - 13. Give a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66411 is divided by 329.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 + 19*l**2\/2 + 457*l. Determine i(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w - 15. Let l be n(5). Solve -l = 5*g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjzcjczcwczwcjjz. What is prob of picking 1 c and 1 z?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:22 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 23) + (17 - (59 - (21 + -7)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 5*t - 2*s, 15*s - 215 = -5*t + 10*s. Calculate the highest common factor of t and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, 3718, 27, -0.5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2120*l**3 - 2079*l**3 + 11540*l**3 - 7338*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*n**2 + 6*n**4 + 6 - 3 - 8*n**4 in the form l*n + u*n**4 + g*n**2 + j*n**3 + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p**3 + p**2. Suppose 2*r = 3 - 5. What is q(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 7*s - 6*s. Suppose -5*h + 22 = -3*i, 0*h - 24 = -5*h + i. Solve h*c + 3 = -5*u - 2, s = -3*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1671 - 1652. Solve 2*m - 3*w + 15 = 0, 0 = -3*m + 5*w - a - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 402 = 6*d - c, 2*d - 154 = -3*c. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2 + 2*a**5 + 0*a**5 + 8*a - 3*a**2 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**4 - 3*d**3. Let s(c) = -8*c**4 - 2*c**3 + 1. Suppose 2 = -5*p - 8. Let w(h) = p*q(h) + 3*s(h). Differentiate w(v) wrt v.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 57*n**4 + 9*n**3 + 9*n**2 + 24*n + 33. Suppose 141 - 9 = -4*w. Let l(y) = -7*y**4 - y**3 - y**2 - 3*y - 4. Let q(a) = w*l(a) - 4*v(a). Factor q(g).\nAnswer: 3*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1857855 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 85925 - 355858 = 0. What is the third derivative of -98*a**2 + c - 89*a**3 - 14207 wrt a?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-90)*5\/2)\/((-10)\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2. Let o(r) be the second derivative of 0*r**3 - 2 + 0*r**2 - 3\/4*r**4 - 10*r. Determine d(o(i)).\nAnswer: 486*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 + 168*j**2 + 2352*j = 0. Calculate j.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-1416)\/24 - -47\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = -12*h + 4*h. Which is smaller: h or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.014635 + -0.0170361. What is t rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1155 and 4\/363.\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 4*i**2 - 2*i**2 + (-i**2 + 3*i**2 - 5*i**2)*(1 - 1 + 2) - 116 + 116 - 2*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8.815, 0.4, -5, -0.0936 in increasing order.\nAnswer: -8.815, -5, -0.1, -0.0936, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s**14\/s)\/s)\/s*s**8*(s*s\/(((s\/(s**(-2\/11)*s))\/s)\/s))\/((s*s**(-3\/2))\/s) assuming s is positive.\nAnswer: s**(557\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359364199*h**2*u**2 - h*u**2 + 6477*h*u - 1207*h wrt h?\nAnswer: 718728398*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 24*q**2 + 5*q - 10. Let w be n(-20). What is w rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 492, 468, 406, 294?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4*m + 4)*(-7*m + 3*m + 2*m)*(-1 - 3 + 1)*(1 + 2 - 5) + (-3 + 3 + 2)*(-m + m + m**2) in the form i*m**2 + v*m + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(3\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448)*-2)\/((sqrt(180)\/sqrt(5))\/sqrt(9)).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4225 + 36793 = -512*v - 28360 for v.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6116 (b) 157 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p**3 + 2*p**2 - 2*p + 1. Let x be h(1). Let a = 6 - x. Let o be 4\/a*(-7 + 1). Solve 4*y - 13 = n, 5*n - o = -5*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505118 is divided by 410?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*v + 11, 0*p + p = -4*v + 14. Let k be (0\/(-3 - -6))\/p. What is the nearest to 0 in -1\/6, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**6\/10 + 3*u**5\/5 + 111*u**4 - 448*u**3 - 75264*u**2 - 18*u - 3. Let d(l) = 0. What is l?\nAnswer: -14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46871187 * -0.3.\nAnswer: 14061356.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 265973009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91\/332 + 2\/83. Let z = -41.52 + 41.52. What is the nearest to z in 0.4, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/9)*t)**(36\/5)*(t*t**4)**(2\/89) assuming t is positive.\nAnswer: t**(5746\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -313204033?\nAnswer: 313204101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*1)\/(sqrt(10) - sqrt(70)\/(sqrt(7) + sqrt(28))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 4*o**2 - 3*o**2 - 4*o**3 + (-5*o + 3*o + o)*(-2*o**2 - o + o) to d*o**2 + r*o + x*o**3 + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -221*d**3 + 3*d**2 + 4*d + 2. Suppose -3*q - 8 = -5*i, 0 = q - 2*i - 13 + 16. What is the tens digit of c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 3, -9, 1, 626.\nAnswer: -9, -6, -1, 1, 3, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -103682739 divided by -5\nAnswer: 103682739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101582746 is divided by 369.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 + 0*z**2 + 0*z**2 + 7*z**2 - z**2 - 2 - z**2 + 2 - z**2 + z**2 + z**2 + (-2 + 2 + z**2)*(2 - 2 - 2) - 2 - 2*z**2 + 2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1302 - -1302. Solve 6*k + 5*k - 6*k = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = 8. Let c be (-3)\/(2 + -1 - u). Suppose -c*w - 2*b + 130 = 0, 5*w - 3*w - 4*b - 108 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 78.74. Let r = -0.7458 - l. What is r rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -66*h. Let c(k) = 4*k. Give n(c(x)).\nAnswer: -264*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 16*i - 10. What is the units digit of 616\/2 - i*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 13) to base 11.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 129. Let s(f) = f**3 - 10*f**2 - 4*f - 9. Let b be s(10). Let u = x - b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 90, -3, -9, -5, -2, 2420 in descending order.\nAnswer: 2420, 90, 5, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11310210 (base 4) in base 12?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 20. Let z(m) be the third derivative of 0*m - 2*m**2 + 1\/3*m**3 + 1\/12*m**q + 0. Let t(g) = -3*g - 4. Determine 3*t(k) + 5*z(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araaxaxaaagaawaaxaag. What is prob of sequence gax?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/(1\/(-3)). Which is the closest to -1\/3? (a) r (b) -0.3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 16*l - 6. Let f be h(15). Suppose k + 2*a = -32, -k + 2*a - 19 - f = 0. Find the common denominator of k and 71\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45617 - 283 = -30*g. Suppose -t - g = 2*w - 7*w, 0 = w - 3*t - 306. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 45*q + 42*q + 12, 19*q + 3 = -56*t + 55*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f**2 - 22*f. Let m(b) = -4*b**2 + 8*b. Let c(r) = 11*m(r) + 4*s(r). Let u(x) = -2*x. What is c(u(d))?\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*-2 + sqrt(156))*-1 - sqrt(156) - sqrt(156))*2)\/(((sqrt(960) - sqrt(960)*-2) + sqrt(960))\/sqrt(5)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 81, 117, 153?\n\"Answer: 36*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f + 3*r - 21, 3*f + r - 17 = 0. Solve -2*m = -4*g + 19 + 7, 2*m + 4*g = f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.0238\nAnswer: 0.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 745924.9us?\nAnswer: 0.7459249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 18*v + 120. What is the least common multiple of f(20) and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 2) + (33 - 24) + (1 - 20)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 138 = 3*h. What is the units digit of (((-540)\/8)\/(-5))\/(h\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:12 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*l + 5, -5*w = 2*l - 10 - 10. Factor 4*s**4 - 67*s**3 + 16 + 91*s**3 + 42*s**2 + 48*s + 10*s**w.\nAnswer: 4*(s + 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*2*(-15)\/50. Let g(u) = 107*u**3 - 191*u**b + 234*u**3 + 77*u + 116*u**3. Let l(t) = -7*t**3 - 2*t. Calculate -2*g(s) - 77*l(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -27, -20, 3, 48, 121?\n\"Answer: g**3 - g**2 - 7*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -3, -2942?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6 - 0\/5. Suppose -p*i + 86 + 28 = 0. What is the remainder when 72 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -255? (a) 1 (b) 0.2 (c) 5\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**(-1))\/(b**(-1\/9)\/(b*b\/(((b\/b**(-16\/5))\/b)\/b)*b*b)) assuming b is positive.\nAnswer: b**(-94\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102 divided by 967561.\nAnswer: 1102\/967561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1508 = -0*b. Let y = 426 + -687. Let p = y + b. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:13 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178670.\nAnswer: 2, 3, 5, 101, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5\/2, 2\/387, 4\/7?\nAnswer: 2\/387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = 0, 3*j - 77 = 4*n + 5. Solve -2*k + 3*x - 6*x = -19, -5*k + j = 4*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*z - 237 = 0, 5*z + 3 = 2*z. Suppose -28 - g = -12*l. Solve -5*x - 13 = l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {j: 1, t: 2, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 1.2. Let u be (-76)\/(-266)*21*2\/(-21). Which is the closest to -1\/3? (a) 2\/17 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9208*c**2*l**2 - c**2 + 1290*c*l wrt l?\nAnswer: 18416*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 18. Sort 1\/3, -5, o in decreasing order.\nAnswer: 1\/3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 645 + -643. Let o(u) = 2*u + 6. Let f be o(6). Let z be f\/12*(-8)\/(-3). Solve -2*d = p*d - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 + -157. Suppose 5*j - 3*m = 30, -j - m - 22 = 4*m. Sort j, q, 1 in descending order.\nAnswer: q, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 - 10*o + 42. Let x(m) = 5*m**2 - 8*m + 45. Let d(f) = -6*b(f) + 7*x(f). Let v be d(-6). What is h in 5\/3*h**3 + 9*h + 23\/3*h**2 + v = 0?\nAnswer: -3, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.91 + -20.91. Let m = -1.94 + -0.06. What is the biggest value in 1, w, 0.2, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 22*j - 45*j - 44*j in the form g*j + n and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 66, 106, 148?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + c + 5, 0*i - 4*i = 5*c + 25. Is 3\/4 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 16905*y - 45963*y - 35217*y)*(3*y + 3*y - 7*y).\nAnswer: 64275*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b3d1 (base 16) to base 4.\nAnswer: -1023033101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 272. Suppose 7*r = -5*o + 4*r - 1, i = -3*r. Let l = -2 - -2.5. What is the nearest to -1\/4 in l, -2\/13, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine quarters of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 354328813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b*t**3 - b - 24*t**3 + 2*t**2 + 246 wrt t.\nAnswer: -66*b - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*t, -3*d + 3*t + 1741 = 2*d. Calculate the common denominator of (6\/(-20))\/(84\/d) and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5198 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 684.4 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 5*j + 24*j = 574 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32 - 522.\nAnswer: -521.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -293970?\nAnswer: 1\/146985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (273\/(-234))\/(14*(-22)\/33)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2142 (b) -0.5 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/6889 + 69331\/1012683. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 10*m**3 - 7*m**3 + 6*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 48 = 49*t - 3*h, -2*h + 340 = -22*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123128660 by 6156433.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 30320 = -4656. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-4 - 0)\/2 + 3. Suppose -z = 2*z - 2*y + 11, p*y - 16 = 4*z. Suppose 0 = -3*d - 2*t + 17, 13 = -3*d + 5*d + 3*t. Sort -2, d, z.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7496 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 - r - 28. Let h be k(6). Suppose -4*y - d - 2*d = -3, -h*y + 18 = -4*d. Solve -y*n = j - 4 - 8, -3*j = 4*n - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from dyypdymddyymyhy?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 136*q**2 + 2606*q - 153. Give y(153).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597, -1385, -2571, -4353, -6929?\nAnswer: -10497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvjz when four letters picked without replacement from {o: 2, j: 1, z: 3, v: 2, m: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 99 + 9. What is the greatest common factor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -16 - -20 - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41 - -0.56.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3, -m = -h + m + 2. Suppose 2*b + h = 20. Is (-30)\/(-4)*b\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12726*w - 547213. Calculate b(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23303130221 - -3102?\nAnswer: 23303133323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8626 - 8626. Let p(n) be the first derivative of -4*n - 2 + 0*n**2 + 1\/3*n**3. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91067 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/(-4))\/((-3)\/(-18)). Suppose -p*g + 95*g = -2960. What is g rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99397 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(38)\/sqrt(2)*6*4.\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 223*k - 48*k + 67*k.\nAnswer: 188*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84494 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1*-5 + ((sqrt(119) + (sqrt(119)*2 - sqrt(119)))*6 - sqrt(119)))\/(-5*sqrt(112)*2).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3 in ascending order.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**3 + 1 - 19*c**3 - 1.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/10281 and 279 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29588 is divided by 411.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634400 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -3, -16.7 in ascending order.\nAnswer: -122, -16.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 4455?\nAnswer: -4450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 19504 - 70556 = 0. List the prime factors of w.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let d = -2.5 + c. Let o = 1 + d. What is the nearest to -1 in 0, o, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b + 58 = -2*i + 104*b, -3*i - 74 = 5*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 15*i - 85. Let l be o(8). Suppose -27 = l*a - 108*a. Let s(b) = -b + 4. Let c(n) = -n + 3. Calculate a*s(u) - 4*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 8076724\/3 and 2692241 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 1, s: 4}. Give prob of picking 2 b and 1 d.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.573 in -2, 1\/5, -7\/11, -508?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69648 divided by 8.\nAnswer: 8706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, r: 1}. What is prob of picking 3 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3142 (base 6) to base 14.\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 11*x - 7. Let d be q(10). Suppose -u = -5*y + 18, -3*y - 3*u + d = y. Solve 23 = -r + 4*a, 0*a - 1 = -y*r - 2*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -48*m**2 + 7*m + 3. Let a(n) = -98*n**2 + 15*n + 6. What is 3*a(y) - 7*v(y)?\nAnswer: 42*y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - 10*v + 28. Let q(k) = 11*k**2 - 12*k + 33. Calculate -7*o(a) + 6*q(a).\nAnswer: 3*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69898.4 minutes?\nAnswer: 4193904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -35) + -3 + 72 - 11.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(10\/40). Let z be (1\/2)\/((-1)\/(-4)). Let x = z + -2. Solve 4*k - 6 = -2*d, x = -m*k - k - 4*d + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -455.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 11*n + 254. Let a = n + 43. Is a at least 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 29*j**2 - 1448. Let y be k(-27). Solve -y*t - 15*t = -225 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:34 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -329*h**3 - 5*h**2 + 1260*h + 20267976 wrt h?\nAnswer: -987*h**2 - 10*h + 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*o**4*w**3 + 60665*o**3*w**2 - 7*o*w**2 + w**3 - 366*w**2 + 1601 wrt o.\nAnswer: 2796*o**2*w**3 + 363990*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.925711t in micrograms?\nAnswer: 5925711000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 3. Suppose 3*v - 33 = 3*o + 4*v, 3*v = -2*o - 29. Let k = -7 - o. Let f be s(k). Solve 5 = w - f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r + 939 + 87 = 32*r. Let n(f) = -2*f**2 + 12*f - 10. Give n(r).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49036 + -0.2054. Round f to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121239 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from {n: 7, o: 4, r: 1, l: 2, v: 1, t: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3036*b**3*j**2 - 28*b**2*j - 16*b*j**2 + b wrt b?\nAnswer: -18216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**6\/6 - l**5\/4 + 5*l**4\/12 + 5*l**3\/6 - 11*l. Factor w(q).\nAnswer: -5*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1683 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8 - 1. Suppose -2*d + 114 = 4*z, 4*d + p = 3*d. Solve 2*u - z = -4*x, -3*x = -2*x + 3*u - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:52 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Sort n, 3, -6 in decreasing order.\nAnswer: 3, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 1196.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659358 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*g = -10*g + 20, 2*g - 5 = -q. Solve 0 = 2*y + 3*x - 7, 2*y - q*x = -4 + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1149046 * -0.583\nAnswer: -669893.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 52, 55, 58, 61?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 - -8) + 2)*2. Suppose z*g - 21*g - 153 = 4*p, 3*g = -3*p + 81. Let w = 19 + -9. What is the remainder when g is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (2270\/(-2096) - (-1 + 2)) and -59\/7.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 - (-41 - 1) - 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 1. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/60 + 184\/(-180)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 571 + -572. What is the smallest value in 0.2, -0.4, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 236*s - 488.\nAnswer: 4*(s - 61)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/((-2)\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 112566195 + 206980494. Suppose -17*c = 116363491 + q. What is c rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-8)*y)\/(y\/y**2*y*y))\/(y\/(y**(-1\/6)*y))**22)**49 assuming y is positive.\nAnswer: y**(-1568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(2\/15) assuming p is positive.\nAnswer: p**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k + 2 - 6*k - 7*k + 3*k. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**2*w + 31023*r*w**3 - 2*r*w**2 + 11*w**3 + 17*w - 259 with respect to r.\nAnswer: -10*r*w + 31023*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-4 - (-11 - -15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 3*f**2 - 2*f - 2. Let c be u(-3). Suppose -3*q + c*x = -2*q - 8, -4*x + 56 = 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2294*u**3 - 2*u**2 + 8*u + 8. Let v(i) = -1529*i**3 + i**2 - 5*i - 5. Calculate 8*v(n) + 5*y(n).\nAnswer: -762*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1191*u + 101398. Give r(-85).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1678, 13426, 45312, 107404, 209770?\nAnswer: 362478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.351 + -2393045\nAnswer: -2393045.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14403 minus 94125.1?\nAnswer: -108528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -26*o + 11. Suppose -25 = -5*q - 4*g, 4*q + 3 = 7*g - 28. Calculate l(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 + 11*r - 8. Let g be b(13). Let u = g + -18187\/11. Let w = -304\/3 - -76. Find the common denominator of u and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 458?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 101. Suppose 5500 = 37*x + 13*x. Calculate the remainder when x is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3984 and 4736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6756564 is divided by 1754?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 17 + 1 - (-11 + 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 - 6*w + 3. Let d be q(6). Let i = 61 - 57. Suppose 0 = 3*n + i*s - 191, n - d*s - 68 = -0*n. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (474 - 186*z - 474)*(-3 + 0 + 1).\nAnswer: 372*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*k = 26, -3*i - 5 = k + 5. Sort -1, i, 1, 4 in descending order.\nAnswer: 4, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156710632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 1, t: 2, k: 1, x: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 3*a)*(21 + 33 - 11)*(0 - 5 + 3).\nAnswer: -86*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:18 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:39 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 56. Let i = f + 65. Solve -i*m + 4 = n, -3*n + 0*m + 12 = 2*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 2*b)*(4*b - b - 1 - 5*b).\nAnswer: -10*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/2 - (9 - 11). What is the units digit of b*(7\/(-2))\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 77*i**3 + i**2 - 3*i + 70*i**3 + i**4 - 3*i**4 - 2 - i to the form a*i**3 + h*i**4 + f + n*i + o*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 684\/(-54) + -34?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1680 + -1002. Suppose -5*b = -k - 1777. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z**3 + 27*z**3 + 39*z**3 + 64*z**3.\nAnswer: 214*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9992\/1305 - 44\/435. Factor 1156\/9 + 1\/9*x**2 - w*x.\nAnswer: (x - 34)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 1.9 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (765\/(-486) + 2\/27)\/(-6 + 9). Which is the second smallest value? (a) 2\/11 (b) i (c) 0.4 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 - 2*h - 1. Suppose 2*l + 14 = -26. Let a be ((-9)\/(-6))\/((-6)\/l). Does 4 divide r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -151, -130, -53, 80, 269, 514?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*h, -232 = -2*k - 2*h. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848774 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -39. Let i = -3 + 3.3. Let l = -1.0626 + 0.0626. Which is the biggest value? (a) 1\/2 (b) p (c) l (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**3 - 54235*v**2 + 108505*v + 162735 = 0.\nAnswer: -10849, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/12440 + 565963\/236360. Find the common denominator of h and 4\/6 + (-42)\/16.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.61 + 3499590422471.\nAnswer: 3499590422471.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 plus 173844008?\nAnswer: 173844724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(20)\/(sqrt(5) - (sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5)))) - (4 + 5*(sqrt(2) + -1)))*6)**2 + 1.\nAnswer: -504*sqrt(2) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + u - 3. Let s be m(3). Is 5762\/8 + s\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*k - 14 = 3*g, 2*g + 43 = -k. Let o be g\/6*36\/(-30) - -4. Sort 1, -2, o in increasing order.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3851011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 288\/(-120)*(-6 - -1). Suppose -10*n = p - 62. Suppose 3*m + n = j, -2 = 5*m - 7. What is the remainder when 22 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4933586 (base 10) to base 4\nAnswer: 102310133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - 1 - (-3)\/9 and -1 + 0 - 730\/(-570).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738424751 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 12:14 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-4)\/9))\/((-87)\/(-58))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.324 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 596, 0.2, -1\/8, 10, -1, 1 in descending order.\nAnswer: 596, 10, 1, 0.2, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15535 + -10534. What are the prime factors of i?\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.012? (a) -1\/4 (b) -1 (c) -3\/1247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y + 213. Calculate g(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 12 + -22 + 11 - (-1 - 16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437219044.\nAnswer: 2, 149, 563, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33432410 (base 5) in base 14?\nAnswer: 79c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*z = 301, 5*a - 4*z - 277 = 48. Let c(w) = 7*w**3 - 12*w**2 - 11*w + 9. Let y be c(-2). Let k = a - y. Does 38 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u**2 + 1. Let m(g) = -g - 19. Let f be m(-15). Calculate the remainder when r(1) is divided by 22\/f*(-20)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, 488, 2425, 6358, 12953?\n\"Answer: 111*c**3 - c**2 - 167*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11269.93102 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:21 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**6\/3 - 122*x**5\/45 + 31*x**4\/18 + 146*x**3\/27 - 40*x**2\/9 - 8*x\/3 + 32. Solve p(c) = 0 for c.\nAnswer: -1, -2\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 153594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m - 2*m**2 + (4 - 2*m - 4)*(3*m - m + 0*m) - 2*m + 2*m - m**2 + (0*m - 3*m - m)*(-9*m - 18*m + 13*m).\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4284 = -957303*u + 957235*u for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3906 divided by 7\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from mmqmmmmm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*n - 132*n + 267*n - 399909 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4469 - 4488 - 1282*h + 8957.\nAnswer: -1282*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5312\/247 - -3\/494. Calculate the common denominator of -43\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 - 2457\/5. What is the nearest to 0 in -5, 1\/6, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**36*((l**(-5\/11)\/l)\/l)\/(l**10\/l))**(-2\/61) assuming l is positive.\nAnswer: l**(3348\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19881, -40164, -60447?\nAnswer: -80730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q - 46172 = -11533. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -429 (base 11) to base 10\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -11 + 4 + 9 + -36\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2980 is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -264099, 1.09 in descending order.\nAnswer: 1.09, -0.2, -264099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3042*s*w - 75442*s + 42443886*w wrt s.\nAnswer: -3042*w - 75442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1044662.8.\nAnswer: -2089325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:33 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8604*w + 7842 - 7842 + 8553*w.\nAnswer: -51*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3) - 8\/12. Suppose -k*b - 5 = 3. Is (187\/b)\/(3\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*i + 54*i - 47*i + 5 in the form d + c*i and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k - o + 6, -2*o = -5*k + 30. Calculate the highest common divisor of 104 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 11?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 69. Let y(q) = -4*q + 71. What is -5*h(l) - 4*y(l)?\nAnswer: -4*l + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 18 + 20 - 36*g + 14.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 6 = -5*s, 0*s + 5*y = -4*s - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 33. Let b be q(-15). What is the common denominator of (-10)\/40 + 41\/36 and (615\/(-54) - (-5 - -3)) + b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/5, -10, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y**2. Let m(l) = 197*l**2 + l. Determine m(s(x)).\nAnswer: 19700*x**4 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (18 - 30 - -41) + (4 - -4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 15 - (-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6785565 and 5.\nAnswer: 6785570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 26*v + 18. Let o(l) = -6*l - 4. Let a(p) = 9*o(p) + 2*s(p). Let g(j) = -156*j**2. Give a(g(m)).\nAnswer: 312*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*z**4 + z**3 + 25777*z**2 + z + 4622033?\nAnswer: -8*z**3 + 3*z**2 + 51554*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*u + 5*t, u + 13*t - 16*t = 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 22. Let o be u(-8). Suppose o*y = 5*y + 459. Is 1\/(2 - y\/(-78)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194717*n**4 - 2*n**2 - 67294*n - 3.\nAnswer: 4673208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -797 (base 11) to base 9.\nAnswer: -1268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -745, -771?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/120451 or 1?\nAnswer: -6\/120451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 22*f**2 - 19*f + 1. Calculate j(21).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/66*(-15675)\/(-102600).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**3 - 1\/2*u**4 + 0*u**2 + 0*u + 1. Factor t(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 70. Let p = -973.38 - -946. Let f = r + p. Round f to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1)*(-12)\/((-72)\/(-25161)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 53. Suppose 3*n = 5*n - b - 2, 4*n - 4*b - s = 0. Let j be (-116)\/8 - n\/2. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 44. Let c be (-19)\/(-6) - (37 - l). Are -1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(2\/(-16)). What is the nearest to 0 in 0, v, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a. Suppose 2*c - 75 = 77. Let v(w) = -c*w - 12*w + 6*w. Calculate r(v(h)).\nAnswer: 164*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 41*i - 40*i. Suppose 0 = -5*n - 5*k + 365, 2*n = -4*k - 19 + 169. Suppose -i*c + n = -40. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, x: 4, y: 1, l: 2, h: 5, e: 3}. Give prob of sequence eal.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 + 254*u**3 - 6780*u**2 - 85952*u + 92480 = 0. Calculate u.\nAnswer: -10, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55 - 107\/(66661\/(-33464))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2. Let j(k) be the first derivative of -k**5\/60 - k**2\/2 - 1. Let l(a) be the second derivative of j(a). Determine l(t(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g + 2. Let w be m(6). What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59904.0028857 - -59904. Let m = 0.0028 + g. What is m rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*t**5 - t**2 - 7*t wrt t.\nAnswer: 10560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377 divided by 38892.\nAnswer: -377\/38892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 + m - 6 - m**2 - 6 to the form w*m**2 + d*m + t and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 2, q: 1, p: 1}. What is prob of sequence qp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/11 - 1336*c**3\/11 + 251904*c**2\/11 - 9339680*c\/11 + 17682400\/11 = 0.\nAnswer: 2, 46, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 127*s**2 - 48*s + 1. Let b(o) = 253*o**2 - 108*o + 2. Give -4*b(t) + 9*k(t).\nAnswer: 131*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, -5, -193 in descending order.\nAnswer: 1, -1, -3, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1517 + 1766. Calculate the greatest common factor of 2656 and g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = m - 35, -5*h + 2*m + 65 = 0. Suppose -h*b - b = -4240. What are the prime factors of b?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 111*q + 3883. Give a(59).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 5 + 2 + 3.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m - r + 549, 2*r = 2*m - 554. What is the common denominator of -15\/14 and 2 + (-1246)\/m - (-6)\/9?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56382 divided by -88?\nAnswer: 28191\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 168. Let l be (-3)\/(-3) - ((-154)\/(-2) + -2). Let f = l - x. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Suppose 168 = -0*i + 8*i. Let x(b) = -2*b + 8. Let j(f) = 9*f - 42. Let h(r) = i*x(r) + 4*j(r). Calculate y(h(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14.78952 times 0.5\nAnswer: -7.39476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -4*m - 3*z, -4*m + 10 = -2*z. Let u be (-1 - -6 - 2\/(-1))*(80 + -79). Suppose -5*r + 3770 = -5*f, 2*r = u*f - m*f + 1517. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 570*f + 7658. Give j(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 8. Let p be d(8). Let j = p - -5. Suppose -j*g - 3 = -23. Solve -2*r + 5*l - 2 - 4 = 0, -3*r - 9 = g*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4453 - 4538.9. Let n = -96.9 + 10.9. Let o = x - n. Which is the third smallest value? (a) -4 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 185307, 370610, 555913, 741216, 926519?\n\"Answer: 185303*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 146\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 14*n**2 + n + 14. Let j be x(-14). Let s = j - -3. Suppose 2*u = s*u - 1. Solve -q = -2*q + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -2, 4.62, 3\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11490938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -38 (c) 3.4 (d) 13 (e) -3 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404 and 161656055?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = x. Solve v + 2 = -v, 2*n + 3*v + 5 = x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/(((-52)\/12)\/(-13))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2\/2 - 61. Let l(x) = x**2 - 4*x + 1. Let r be l(6). Let a(g) = r*g**2 - 21*g**2 + 12*g**2. Calculate k(a(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-11 - -21) - (-1 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1706244 divided by -568748.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1446722 centuries?\nAnswer: 173.60664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284481962.\nAnswer: 2, 142240981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 20*h**3 - 6*h**2 + 2*h - 33. Let q = -340 - -346. Is u(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h**2 + 105*h - 4. Let b be s(-9). Let n = b - 18. Solve 2*q = -2*q + n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12789*d - 291. Let h(a) = -6394*a + 145. Let z(o) = 3*c(o) + 7*h(o). Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43567*i**4 - 39685 wrt i?\nAnswer: -174268*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 996 + -711. Suppose 14*s + 2*s - 768 = 0. What is the remainder when a is divided by s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(126)*-2 + sqrt(126))\/sqrt(2) - 5*sqrt(189)\/sqrt(3)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + (-2)\/4. Suppose -7*i + 26*i = 9*i. Suppose d*o - 54 - 2 = i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10226, 20453, 30680, 40907?\n\"Answer: 10227*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 - (-318)\/5. Let q be (-2)\/(-3) + y\/(-114). Let k = -43 + 42.8. Which is the nearest to 0.1? (a) k (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -1\/4, 0.1, -131, -2, -1 in increasing order.\nAnswer: -131, -2, -1, -1\/4, -0.22, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -18a?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 31. Let m = -67 + 70. Solve -7 = -m*d + 3*p + j, -4*p = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h + 18. Let s(j) = -j**3 - 19*j**2 - 17*j + 59. Let r be s(h). Does 15 divide (-1 - r\/(-2))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.3 + 7. Let f = 422.3 - 424.3. Put 0.1, f, n, -4\/3 in descending order.\nAnswer: 0.1, n, -4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 346.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141947*o**2 + 2*o*y**2 + 581075*y**2 wrt o.\nAnswer: 283894*o + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.412*-130.\nAnswer: 53.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7198 and 36226?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*z = 60 - 70, -5*h - z + 14 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x**4 + 21321*x**3 - 23223*x**2 + 1935*x = 0. Calculate x.\nAnswer: 0, 1\/11, 1, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494*x**3 - 236*x**3 - 122*x**3.\nAnswer: -1852*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8611\/7 - -1233. Factor -64\/7*j**2 - 36\/7*j**3 - o*j + 8\/7.\nAnswer: -4*(j + 1)**2*(9*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2384051919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 i when three letters picked without replacement from {a: 4, t: 1, m: 1, i: 5, k: 6, z: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -2*z - 0*z - 3*s, 3*s = 0. Let d be (4\/10)\/((-8)\/z). Solve -11 = -3*t - f, 6 = t + d*f - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*w**2*x**2 - 3*h**2*w**2*x - 2*h**2*w*x**2 - h**2*w - h**2*x**2 - w**2 wrt w?\nAnswer: -6*h**2*x**2 - 6*h**2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -12*y + 3*p - 36, 0 = -4*y - 11*p + 14211 - 14198 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79067, -158139, -237211, -316283?\nAnswer: -395355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 12*a**2 + 8*a - 7. Let j be 0 - 2 - (6 - (0 + 3)). Calculate the smallest common multiple of 5 and p(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 3, t: 1}. What is prob of sequence ttdz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + m**2 - 1 - 2*m**2 + 1 - 4*m + 4*m - 2*m**2 + (-m**2 + 0*m**2 + 0*m**2)*(5 - 4 + 0) - 4*m**2 - 2*m**2 + m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 11*y**2 + 23*y - 32. Let o be f(-13). Let r = -4 + o. Find the second derivative of 7*a**3 + 5*a**3 - 11*a - 15*a**r wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910449067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1034700 and 589.\nAnswer: 609438300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 + 12*y - 787. Let i(z) = 7*z**2 + 7*z - 396. Give 6*f(u) - 10*i(u).\nAnswer: 2*u**2 + 2*u - 762","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.19, -1\/5, 6252, -5, -3 in increasing order.\nAnswer: -5, -4.19, -3, -1\/5, 6252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1448, 1301, 1132, 935, 704, 433, 116?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 8. Let v be 4\/(-14) - (14 - (-1100)\/(-77)). Let l(u) = 2*u**2 - u + 53. Calculate the remainder when l(v) is divided by g(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-2)))**(-33)\/(k**2\/(k**(-1\/4)*k)))**(2\/39) assuming k is positive.\nAnswer: k**(-401\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5905*p = 1332*p + 943*p + 1499*p - 600098 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l + 1. Let c be z(6). Let g(y) = -y**2 + 32*y - 139. Let n be g(23). Suppose n*o = 58*o + 40. Put o, c, 5 in increasing order.\nAnswer: o, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -3, -0.4, -16, -8\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, 0.1, -3 in ascending order.\nAnswer: -3, 0, 0.1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18291 + 18293. Which is the fourth smallest value? (a) i (b) 228 (c) -0.2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2205.577l to millilitres.\nAnswer: 2205577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -12.18233\nAnswer: -12.18233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*m**3 - 383*m + 89716?\nAnswer: 27*m**2 - 383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -81*o**2 + 3*o - 9. Let b(s) = 408*s**2 - 14*s + 42. Let g(m) = -6*b(m) - 28*c(m). Let l(z) = -15*z. Calculate l(g(a)).\nAnswer: 2700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 + 12748*b**2\/3 - 239008*b = 0.\nAnswer: -12804, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*q - 45 = -5*c, -4*q + 84 = 2*c. Let u = -321 - -324. Factor c - 288*k**3 + 14*k + 292*k**u - 20*k**2 - 2*k.\nAnswer: 4*(k - 3)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55946.81l?\nAnswer: 55946810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e074 (base 16) in base 9?\nAnswer: 866088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 383569*u + 11 - 383567*u + 30. Let o be y(-16). What is the highest common divisor of 639 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2210028.9*-2.\nAnswer: -4420057.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + -11192.48804.\nAnswer: -11164.48804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2.1, -0.54, -5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*f**2*z**2 - 2*f**2*z + 2*f*z**2 + 593*f*z + 2*z**2 wrt z?\nAnswer: 790*f**2 + 4*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g**5 + 583*g**4 + 235*g**3 - 1915*g**2 + 1208*g - 28 = 0. Calculate g.\nAnswer: -2, 2\/83, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -5*t - 130, -3*b - 132 = 4*t. Let j = t + 80. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 7 = -8*t. Let m(f) = 3*f - 3 - t - 6 - 1. Determine m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, 0, 0.3, -17, -4\/3, -487, 1\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 77957?\nAnswer: 77955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 759953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 33*y**2 + 202*y - 24. List the prime factors of u(-13).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 3*r + 5 = -2*o, 3*o = -4*r + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 14*p**2 + 14*p - 21. Determine n(9).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from wzuuzumquuqqqqquqqq.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 8*w**2 + 2*w + 9. Let x be u(8). Suppose 4*p = -p + x. Solve 2*t - 4*t + 3*k - 13 = 0, t = -p*k + 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 25 - 9 = 0. Let g(h) = -2*h**2 - 7*h - 2. Calculate g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10271513269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4734044 and 422.\nAnswer: 998883284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155065979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/3 + 110450*i\/3 + 220904\/3 = 0.\nAnswer: -2, 110452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69439577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:14 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -1\/24*i**4 - 3\/2*i**3 + 7\/60*i**6 + 43*i**2 + 0 + 0*i + 0*i**5. Find the first derivative of r(o) wrt o.\nAnswer: 42*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 17. Suppose -t*h = -6*h. Suppose -3*o + h*o = -30. Is o at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 - 60*o**2\/7 + 18*o - 64\/7.\nAnswer: -2*(o - 1)**2*(o + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + 4.7. Let d = j + 0.6. Sort d, 2, -2, -0.2 in increasing order.\nAnswer: -2, -0.2, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 17*g**4\/4 + g**2\/2 + 6*g + 22. Let m(d) = -2*d. What is a(m(v))?\nAnswer: 204*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 53580?\nAnswer: 535800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1810059 divided by -2?\nAnswer: 1810059\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 929 + 901 - 731 = 1257 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 + 44*v**2 - 248*v\/3.\nAnswer: -4*v*(v - 31)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9368 - -13347. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*z + 6 = 0, 3*x - 2*z = 13 + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 101, -5, 2, -1, 11 in ascending order.\nAnswer: -5, -2, -1, 2, 11, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-3 - (sqrt(18) + (sqrt(18) - (sqrt(162) + sqrt(18))*-1)))*5)\/((-4*sqrt(90)*1 + sqrt(90) + sqrt(90))\/(sqrt(30)\/(sqrt(9)\/sqrt(3)))).\nAnswer: 105*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(sqrt(120)\/sqrt(3) - sqrt(40))*1)\/((sqrt(32) + 1*(sqrt(32) - (sqrt(32) - -2*sqrt(32))))\/sqrt(4)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 1 + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -2) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 2\/(-2) + 12. Let d = -369 - -371. Sort q, d, 3.\nAnswer: d, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 11*i + 4. Let p = 160 + -151. Determine v(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 4*n**7\/105 - 4*n**3\/3 - 5*n**2. What is the derivative of f(s) wrt s?\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 313, 1062, 2261, 3922, 6057, 8678, 11797?\n\"Answer: 2*s**3 + 213*s**2 + 96*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + 4. Let v(m) = 6*m + 3. Let k(q) = 5*j(q) - 6*v(q). Let s(b) be the second derivative of -b**3\/3 + 137*b - 2. Calculate k(s(d)).\nAnswer: 22*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 883, 1107, 1331, 1555, 1779?\n\"Answer: 224*s + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*b + 48*b + 10. Suppose -b*k + 7*k + 6 = 3*r, 0 = -3*k. Solve 3 + 5 = r*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 3*s**4 + 0*s**4 + 6*s**3 - 2*s**4 + s + 3*s**2.\nAnswer: s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 84, 193, 346, 543, 784, 1069?\n\"Answer: 22*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 40.066. Let f = h - 0.07. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z - 3. Let t be o(-3). Suppose 5*p + 7 = t. Solve j - 1 - p = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-3)\/8 + (-575)\/(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 291858379 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(1 - 0)\/((-2)\/(-50)). Suppose j + 64 = -5*g - 0*g, -2*g = -5*j - 212. Let d = j - f. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16481 - -34403. List the prime factors of f.\nAnswer: 2, 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 - 9*s**2 + 5*s + 2. Let r(t) = 5*t**3 - 10*t**2 + 5*t + 2. Let f = 4 + -3. Let q = 5 - f. Let u(x) = q*l(x) - 3*r(x). Determine u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*c**3*o**3*t + 2*c**3*o**2*t + 4*c**2*o**3*t - 155*c*o**2*t - 3*c*t + 84*o**3 wrt o.\nAnswer: 306*c**3*t + 24*c**2*t + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 + 5*o**2 + 3*o - 2. Let p(g) = 10 - 3*g - 4*g**3 - 8 + g - 4*g**2. Calculate -2*m(j) - 3*p(j).\nAnswer: 2*j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3 - 53429*h**2 + 213729*h - 160299 = 0?\nAnswer: -53433, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 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 -1060.7937155 plus -15?\nAnswer: -1075.7937155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*g - 6 = -9, -3*u - 19 = -4*g. Are -2 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966320731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) + (2*sqrt(192) - sqrt(192)))\/sqrt(8))\/(sqrt(300)*2) + ((sqrt(1152) + 0)**2 - sqrt(64)\/(sqrt(32) - sqrt(8))))*6.\nAnswer: -54*sqrt(2)\/5 + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 10*a = 0. Solve 4*w - 1 - 19 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*r, 10*l = 5*l + r. Suppose 4*a - 3*s = l, -s + 3*s - 23 = -5*a. Let n(x) = x - 17. Let o be n(12). Put o, 0, a in descending order.\nAnswer: a, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + 1\/12. Suppose 7*j - 2*j = -15. Let p = -4 - j. Which is the closest to p? (a) 0 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 147918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147801 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208) + 4 + 1 + sqrt(208) + (5*2*sqrt(91) + sqrt(91) - sqrt(91))\/sqrt(7))**2.\nAnswer: 220*sqrt(13) + 6317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 36. Suppose -2*t - x = -5. Let h = 8 - t. Calculate the remainder when h is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6856713 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:33 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2657, -2, -6, 6, 3 in increasing order.\nAnswer: -6, -2, 3, 6, 2657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 - -3)*4)\/2. What is the first derivative of -7*r + 1 + 2 + n*r wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8621.\nAnswer: 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 288, 571, 854?\n\"Answer: 283*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14148 bigger than 14147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23603241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20327621*0.04\nAnswer: -813104.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177*c**2 + 225*c**2 - 29*c**6 + 4*c**6 wrt c.\nAnswer: -3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24536 or 24566?\nAnswer: 24536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(71\/142).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -64*p**3 - p. Let q be r(-1). Suppose 0*z + 3*z = -2*g - 947, -2*z + 922 = -2*g. Let s = -453 - g. What is the highest common factor of s and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -517690.57 and -0.5.\nAnswer: -517691.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 556*o**2 - o + 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 49*d + 19 + 230*d.\nAnswer: 279*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700076 is divided by 77745.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 26*a - 2*a**2 + 36*a.\nAnswer: -a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5964296.\nAnswer: 2, 13, 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*r**4 + 6289*r**3*x**3 + 3*r**2*x**3 - 174*r**2*x**2 - r*x**3 + 1686*x**3 + 2*x**2 wrt r?\nAnswer: 2424*r + 37734*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 13 - (15 - 1)) + -2 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 2133*m**5\/20 + 1533*m**3\/2 + 8*m**2 - 547*m. What is the derivative of c(f) wrt f?\nAnswer: 12798*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {v: 1, y: 4, z: 1, s: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from ufiuooxuiiss.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/m**(-5)))\/m)\/(m**8*m)*(m**2)**(-27) assuming m is positive.\nAnswer: m**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2904552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329 is divided by 3172.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 179 = -91. Let h(q) = q - 3. Let g be h(5). Suppose -c = -2*r - 5*w, -g*r = r + 5*w - 91. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3416*n**4 - 592*n**4 - 6573*n**4 + (0*n**2 + n**2 + 0*n**2)*(-n**2 + n**2 - 2*n**2) to the form v*n**3 + s*n**2 + j*n**4 + t + u*n and give j.\nAnswer: -10583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7569 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246537\/5 + -49307. Suppose -d*i**2 - 2 + 12\/5*i = 0. Calculate i.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + o - 1. Let u be l(-2). Suppose u + 4 = p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 24*p - 16156972 = 15488215. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:46 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 7*l**2 + 27)*(-32*l**2 - 49 - 34 + 79).\nAnswer: -224*l**4 - 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 564\/987 - (3230\/(-350) - -3)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2787409\/176 + 15837. Calculate the common denominator of 71\/4 and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-794*c + 1574*c + 4815*c**3 - 780*c)*(4*c - 4*c - 3*c**2) + (c**3 - 3*c**3 + c**3)*(0*c**2 - 4*c**2 + 2*c**2).\nAnswer: -14443*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:38 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 89*v**2 - 550*v - 745. What is h(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50896435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 6:12 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 98 - 58 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/((-78)\/(-4)))\/(4\/(-22890)). Let o = p - 2711. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -551227\/193420 - 1\/9671. Let l(f) = -3*f**2 - 96*f - 261. Let w be l(-38). Let n = w - -1917\/2. Find the common denominator of n and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756332359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8030 divided by -10991\nAnswer: 8030\/10991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-135)*45\/18.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(2\/(-6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2 + 2833. Let a(m) = m**2 - 88. Give t(a(z)).\nAnswer: -2*z**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2 - 22*h + 24 - 1\/2*h**3.\nAnswer: -(h - 6)*(h - 4)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 73*q**2 + 602*q - 44. Determine t(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 13) in base 8?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -261, -274, -285, -294, -301, -306?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 5*f - 2. Let h(c) be the first derivative of -2*c**3\/3 + 2*c**2 + 2*c + 1. Let z = 92 + -52. Let k = -36 + z. Calculate k*x(j) + 5*h(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2*x**(1\/3))\/(x**(1\/2))**(6\/13) assuming x is positive.\nAnswer: x**(121\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*d**2*g**2*x - 2*d**2*g - 24*d**2*x + 129*d*g**2*x + 6*d - g**2*x + 12*g*x + x wrt g.\nAnswer: 40*d**2*x + 258*d*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.2, 1335, 0.1, -5\/6, -2.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3465 is divided by 831.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 + 2*m - 3*m**2 + 60 - 124)*(6*m + m - 4*m)*(-1 + 1 + 7*m) to n*m**3 + c*m + y*m**2 + k*m**4 + b and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + (-1)\/(7\/21). Let r be 5 + 5*(1 + z). Solve y + 0 + 2 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p - 561 = 73*p - 232 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1, 5, -1313?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11602760*r**3 + 23205463*r**3 - 11602719*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 83209490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (14 - 12 - -9)) + 58 + 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 27, 33, 25, -3, -57, -143?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033 = -121*x + 14*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 37*f**3 - 4*f**2 - 4*f + 4. Let h(d) = -110*d**3 + 11*d**2 + 11*d - 11. Determine 11*b(q) + 4*h(q).\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:09 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4734 + 0.552. Let u = 0.1145 - c. Let a = -0.0358799 + u. Round a to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80*(-1)\/3*(53 + 15447\/(-285)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 - i**5\/15 - i**4\/24 + 5*i**3\/6 - 7*i**2. Let u be z(4). Calculate the remainder when 59 is divided by u*3\/(-1)*-5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h. Let p(c) = -29*c**2 - c + 5. Let o(b) = 12*b**2 + b - 3. Let f(a) = -5*o(a) - 3*p(a). Determine f(l) - 2*k(l).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -1\/42*k**7 + 0 + 0*k**3 + 57*k + 1\/24*k**6 + 1\/12*k**5 - 5\/24*k**4 + k**2. Factor f(x).\nAnswer: -5*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(16)\/(1*sqrt(2) + sqrt(2)) + sqrt(8)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*i = 2*i, 4*i = -5*w. Let f = 9 - 6. Let s(n) = w - f + 3 + n**2. Let g(h) = -4*h. Determine s(g(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1513608870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 + 26*l**3 + 3*l - 1 + 4*l - 32*l**3. Let r(h) = -6*h**3 + 7*h - 3. Let v(z) = -2*r(z) + 3*y(z). Find the second derivative of v(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 2*s**2 - 2*s - 1. Suppose -4*y + 15 = 5*n - 15, 0 = 3*n - y - 1. Suppose -2*k + 0*k = n. Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 4) + 3)*(-30)\/(-198). Which is smaller: z or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66112488 divided by 33056244.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/9 + 308*d**4 + 848002*d**3\/9 + 841544*d**2\/3 + 186600*d = 0.\nAnswer: -933, -450, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4\/8 + 69*r**3\/4 - 11529*r**2\/8 + 18630*r + 20088 = 0.\nAnswer: -93, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/5 + 4672*r**4\/5 + 9338*r**3\/5 + 4668*r**2\/5 = 0. What is r?\nAnswer: -2334, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 78*b**2 - 1468*b - 499. Determine j(33).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539407 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, z: 2, t: 2, p: 1, e: 4}. What is prob of sequence zp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 637365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 13*y)*((-2 + 1 - 2)*(2 + 2 - 6) + 1 + 0 + 0) + 2*y + 0*y + 0*y + (2 + 1 - 6)*(0 + 0 + 2*y).\nAnswer: 87*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4862618.\nAnswer: 2, 857, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 398 = -458 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12482*f**2 - 781152*f - 12221568.\nAnswer: -2*(79*f + 2472)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 8*a**2 + 16*a + 19. Let y(x) = -6*x**3 + 7*x**2 - 20*x - 21. Let t(q) = -5*n(q) - 4*y(q). Calculate t(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 2, -1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -f, 0 = -f + 2*f + 2. Suppose 3*d = -2*o - 5, -k*o + d - 10 = 3. Suppose -3*i = c + 3, -3 = c + 5*i - 0. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.3, 3, 0, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 6\/4*2. Suppose 4*h - 35 = n - 3, -39 = -z*h - 3*n. Calculate the remainder when 33 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:20 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 90.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 102730095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3718298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2552.\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/5268 and 14\/3951.\nAnswer: 15804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2\/125 of a microsecond?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -4*r - 0, 5*o = -4*r + 3. Suppose 22 = r*q - 232. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 214? (a) -2\/63 (b) 2\/11 (c) 2\/7 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - l + 97 = -38 - 89, -40*l = -4*g + 388 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + t**3)*(-2 + 0 + 1) + 0 - t**3 + 0 to the form v + o*t**3 + c*t**2 + r*t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1857*q**2*w**4 + 399342*q**2 + 183*q*w**4 - 8*w**2 wrt w?\nAnswer: -44568*q**2*w + 4392*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 28*k**3 + 33 - 52 to the form g + o*k + y*k**3 + t*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94324719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**6\/2 + 836*i**5\/5 - i**4\/4 + i**3 - 151*i**2\/2 + 6723. Find the third derivative of b(k) wrt k.\nAnswer: 180*k**2 + 20064*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6782, 7018, 7268, 7538, 7834, 8162, 8528, 8938?\nAnswer: 9398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4\/5 (c) 59.49433 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5490)\/(-122) - 3213\/72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (-5*sqrt(75) - sqrt(75)) - sqrt(75))**2 - ((sqrt(3) - sqrt(30)\/(-3*sqrt(10) - sqrt(10))) + sqrt(3)).\nAnswer: -9*sqrt(3)\/4 + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c - 2*c)*(-255*c - 86*c - 23*c).\nAnswer: 1092*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-520)\/(-32). Let f be (-4)\/(-2)*(-82)\/(-164)*0. Solve -2*s - 4*l - 2 = f, -4*l = -4 + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*((t**(-5\/4)*t)\/t)\/t)**(-2\/9)\/(t**(-7\/6)\/t**(-15)) assuming t is positive.\nAnswer: t**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 9) to base 8.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -10*a, -f = 3*f + 5*a + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/4 + 2*f**3\/3 + 2*f**2 + f - 9. Let c(h) be the first derivative of m(h). What is the tens digit of c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146668250 and 20?\nAnswer: 293336500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -36*z**4\/5 - 18564*z**3\/5 - 12364*z**2\/5 - 412*z = 0?\nAnswer: -515, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2787 - 0 - (-59 + 63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -19*m**2 - 93*m + 102. What is o(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(605)*-1 + -3 - ((0 + sqrt(605))*-1 - (sqrt(605) + 1 + -4))) + 3 + sqrt(605) + 1 + 1 + -3*(sqrt(605) + sqrt(605) + 0 - sqrt(605))*-4)**2.\nAnswer: -308*sqrt(5) + 118581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 - -402. What is the remainder when t is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3667382790 rounded to the nearest 100000?\nAnswer: -3667400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = 4. Solve a + y*a = 4*m + 7, a = 4*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -177, -6, 8 in decreasing order.\nAnswer: 8, 4, 2, -6, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2636138692 to 5 dps.\nAnswer: -0.26361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -23 - (-42 + 98 + -36).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, -9.7, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*1*3)\/(sqrt(12) - 2*sqrt(1452)))\/(-3*-2*sqrt(288)*-5).\nAnswer: sqrt(2)\/1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-18)\/(-24) - (-2)\/8). Suppose -2*c + q*o + 160 = o, 5*c - 424 = 4*o. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 + 916. Solve -a*n = -0*m + m - 10, 30 = 5*n + 5*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8308059 + 24331941 = 0. What is u rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240) + sqrt(2240)*-4*4 + sqrt(2240) + sqrt(2240))\/((sqrt(500) + (sqrt(500) - sqrt(500)*-3))*-2))**2.\nAnswer: 4732\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678496 is divided by 3375.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, d: 2}. What is prob of picking 2 c and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -22*d - 6 - 2. Let f(u) = -2*u**2 - 13*u - 19. What is f(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -135*k**3 - 2*k**2 - k. Let z be x(-1). Suppose 32 = -2*b + z. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + 0.85. Let l = 1 - 0.7. Which is the second biggest value? (a) h (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445335?\nAnswer: 3, 5, 11, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*f, 2*f + 46 = -25*o - 23. Sort -6, 3, o in descending order.\nAnswer: 3, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1469 + 1472 + 122*w - w**3 - 4422 + 14*w**2 + 1491. Give q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140616 divided by 6\nAnswer: -23436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 1, y: 4, d: 5, s: 8}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -12*z + 180. Let y(c) = -3*c + 38. Let r be y(z). Solve -r*n - n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61.11102 + -2162\nAnswer: -2223.11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 30. Let z = 29 - 35. Does 7 divide (-20)\/c*(-189)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/220*(-4)\/(36\/15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -553, -853, -1163, -1489, -1837, -2213?\n\"Answer: -o**3 + o**2 - 296*o - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:49 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:22 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 323? (a) -6\/7 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -35261 = -35260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - -4.97. Let v be (-112)\/42 - (0 - (0 + 2)). What is the third smallest value in v, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let k(p) = -14*p. Let w(h) = k(h) + 8*z(h). Let m(l) = 6*l**2. Give w(m(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/12*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 36 - 1. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:43 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -39*d**5\/10 - 21*d**4\/2 - 2*d**3 + 75. What is m in v(m) = 0?\nAnswer: -2, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 325*x - 39328. Calculate n(121).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -125854 and -21652184.\nAnswer: -21778038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2786, -2818, -2872, -2948, -3046?\n\"Answer: -11*f**2 + f - 2776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5487 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17883 divided by 18888\nAnswer: -5961\/6296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:06 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 30 = -5*l. Solve -4*j - 2*a = 9 + 21, -2*j - 4*a = l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(3\/(-2))*-18. Let q = 5 + -3. Suppose -f + w = -q*o, -153 = -2*f - 3*f + o. What is the highest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 - 2*p + 4. Let d be y(-3). Let f be (-1)\/(-1 + (-21)\/(-28)). Solve -3*l - d + f = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/1531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-140)\/(-6) + 6\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2946015.\nAnswer: 3, 5, 17, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012153 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 6*i - 1242*x = 1245*x - 2492*x - 33, 0 = -3*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -36*x**2 + 1206*x + 15604. What is k(-10)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 13*q. Does 5 divide n(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 7. Let q be s(5). Suppose 8 = -q*o - 2*o. Let g be (-186)\/(-12) - (-1)\/o. Solve -g = 2*z + 2*f - 5*f, 2*f - 10 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 19888218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/249180 and 53\/18.\nAnswer: 747540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 2.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9000 - 0.3.\nAnswer: -9000.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5788534399 to the nearest integer?\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 150550011?\nAnswer: 150550010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c + 51. Let l(y) = -y**3 + 18*y**2 - 18*y + 11. Let n be l(c). Is 542 - (n + (5 - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2 (c) 18 (d) 15107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*b - 21. Suppose b*v - 18*v - 40 = 0. Solve -h - 2 = -2*h, 0 = 2*y - 4*h + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17250 = 105*m - 795*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75879601?\nAnswer: 7, 10839943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16404?\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and -83\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*p - 21 = -51, -5*q = 3*p + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-49) - (-1556)\/(-7). Let j be y\/(-18) - (-2)\/3. Suppose -4*z - 13 = 2*r - 3*r, 2*z = r - j. What is the highest common divisor of r and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7642800.\nAnswer: 2, 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6447516 and -65\/148.\nAnswer: 238558092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:54 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r - 2. Let f be v(4). Suppose x + 4*o = 16, -2*x + 2*o + 2*o = 16. Suppose x*m - f = -3*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2541 + 1.0541. Which is the second smallest value? (a) -1.8 (b) x (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o + x - 7, -10 = 5*x. Suppose 5 = 3*f + r - 8, 0 = 4*f + 3*r - 19. Suppose 0 = 2*t + 5*b - 16, f*t + 2*b - 4*b - 8 = 0. Is o less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13942, 14607, 15270, 15931, 16590, 17247?\n\"Answer: -m**2 + 668*m + 13275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-4\/3)\/h*h)\/(h*(h*h**(-9)*h*h)\/h*h))\/(h*h**(-1\/4)*h*h*h*h**(-3)))**(2\/27))**(-2\/129) assuming h is positive.\nAnswer: h**(-35\/10449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 + 382. Solve 27*f - 10 = j*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/330)\/(140\/6545)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 62.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/y**(-3\/13))**(-45) assuming y is positive.\nAnswer: y**(7470\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 1, q: 4, r: 6, k: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 1, 14, 2\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816726656 to the nearest integer?\nAnswer: 28578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1132, -4469, -10012, -17755, -27692, -39817, -54124?\n\"Answer: d**3 - 1109*d**2 - 17*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*l**2 + 13*d**2*l*r + 742*d**2*l - 2802*d**2*r + 53*d*l**3 - l**3*r wrt r.\nAnswer: 13*d**2*l - 2802*d**2 - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 699149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5 - 3 - 4*l + l**2 - l. Let q be d(7). Solve 2*b - 4*h = -7*h + 2, -q = -4*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 1, v: 2, d: 1, i: 1, y: 1}. Give prob of picking 1 y, 1 q, and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k - 161 = -52*k. Calculate the remainder when 146 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88420, -88627, -88826, -89011, -89176, -89315?\n\"Answer: i**3 - 2*i**2 - 208*i - 88211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 7:16 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 211904200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1488 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 5)*(2*s - 4 + 4) + 2*s + s - 4*s)*(0*s + 2*s + s)*(-1 + 0 + 4).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*s = 207*s + 24 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 1, w: 2, t: 1}. Give prob of picking 1 x, 1 t, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40898013 divided by -2152527?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684820 is divided by 894939.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -0.5, 51950, -0.484, 5, -2\/15?\nAnswer: 51950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 2, j: 1, o: 1, w: 2, m: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (40 - 37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 + 138*v**2 - 64*v + 5. Determine d(-35).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + 46. What is the highest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tktt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 19, -556, 5 in increasing order.\nAnswer: -556, 0.4, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i - 1. Let y(a) = -2*a**3 + 5*a**2 - 4*a - 4. Let c(z) = -z**3 - 11*z**2 + 25*z - 9. Let l be c(-13). What is l*g(n) - y(n)?\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8528 = d. Is d\/13*(-10)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*m = -3 + 137, m + 554 = 4*k. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (518\/(-48951))\/(25\/(-225))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168\/23 + -909\/115. What is the closest to -0.3 in -22, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -12*c - 2*t + 8, -t - 21 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 - 1274140?\nAnswer: -1274110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 12. Let p be m(3). Let f = 15 + p. Solve 5*j = 2*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6639, 6667, 6713, 6777, 6859, 6959, 7077?\n\"Answer: 9*l**2 + l + 6629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 7) - ((2 - 1) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-540*n - 13 - 3 + 16)*(-5*n + 2*n + 2*n).\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103063*k - 36712*k + 74306*k.\nAnswer: 140657*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Which is the second biggest value? (a) -1 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 131*a - 3. Let q(v) = 622*v - 14. Let j(k) = 4*q(k) - 19*w(k). Let c(h) = -11*h - 1. What is c(s) - 4*j(s)?\nAnswer: -7*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) 0 (c) 270\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let c(f) = -2*f**2 + 3*f + 3. Let y(n) = -3*n**2 + 4*n + 4. Let g(o) = -4*c(o) + 3*y(o). Calculate g(r(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1140)\/70 - (-27 - -19))\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q. Let j be (q + 56)*(1 - 0). Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 136*j - 4672. Let z be 6\/(-1 + (-5)\/(-2)). Calculate the highest common factor of j and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/360 + v**5\/120 + v**4\/6 + 155*v**3\/6 - 2*v**2 - 34. Let k(f) be the first derivative of i(f). Calculate k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 6, 5*v + 5*q - 3*q = 9. Let p be v\/(-1) - (-10)\/(-5). Let f(x) = -x**3 - 5*x**2 - x - 2. Calculate the lowest common multiple of 27 and f(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 0*a**2 + 6*a + 20 - a**2 + 7*a**2. Let j(x) = 4*x**2 + 5*x + 21. Let f(t) = 6*j(t) - 5*p(t). What is the tens digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79733 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*y**3 + 1069*y**3 - 33*y**3.\nAnswer: 1763*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647108 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -126652470317 - 0.2\nAnswer: -126652470317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h - 1. Let k be x(-5). Let d be ((-451)\/44)\/((-19)\/(-2))*-1. Let t = d + 8\/19. Which is the second biggest value? (a) -2 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -28*j**3 + 21*j**2 - 22*j + 1. What is a(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14323, 12722, 11121?\n\"Answer: -1601*g + 15924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -75. Let l = v - -308\/5. Let r = -37.05 + 36.85. What is the second smallest value in l, r, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.014, 1\/6, 1.\nAnswer: 0.014, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -359a9b?\nAnswer: -359aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g + 118*g**2 + 1 - 2*g**3 + 2213*g**4 - 2217*g**4 to q*g**4 + a*g**2 + o*g**3 + h*g + c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153261, 306526, 459789, 613050, 766309, 919566, 1072821?\n\"Answer: -c**2 + 153268*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6792 and 280056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.0154 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 6*z**2 - 7*z - 2. Let h be b(-5). Suppose -12*o = -14*o + h. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -53.\nAnswer: 57\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-1)*(-16)\/(-32). Suppose -9*z = -a*z + 4. List the prime factors of (-10)\/4*((-6)\/z + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouuuouuuuuuuuuo. Give prob of sequence uoo.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3\/5, -5, -4, 924\/31, -0.1, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2378\/(-287) + (9 - -1)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 147 = -2*b, 2*b + 399 = 7*b - 3*j. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 0*z**3 + 10*z**2 + 17*z**2 + (0 + 1 + 0)*(z**3 - 1 + 1) + 2*z**3 - 3*z + 3*z as q*z + m*z**2 + j*z**3 + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 403 + -144. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5 + -14 + (5 - 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*h + 4, -4*h - 1 = 11. Let q(a) = a**3 - 7*a**2 + 2. Let y be q(7). Let v = y + -6. Put r, 4, v in descending order.\nAnswer: r, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 31*a + 14. Let y be t(-16). Let f be (-31)\/y + 5\/10. Solve -f = s + 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b**2*h*v - 2*b**2*v**3 + b**2 - 59*b*v**3 - 2*b*v**2 + h*v**3 wrt v.\nAnswer: -12*b**2 - 354*b + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32153 and 84249.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 111 - 25 + 14*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-1*2)\/sqrt(3).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7523988 - 0.1.\nAnswer: 7523987.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -48*z - 2319. What is the remainder when j(-53) is divided by 106?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12851\/12 - -1071. What is the closest to -1 in -2, h, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/12*g**4 + 0 - 1\/3*g**3 + 0*g + 2*g**2. Let k(o) = 5*o - 73. Let q be k(14). Let t(s) = -1. What is q*t(i) + l(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrarrvrrrvra. What is prob of picking 2 v and 2 r?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab8c1 (base 14) in base 2?\nAnswer: -11101000111000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -788 (b) -35 (c) -5 (d) 873\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z - 1. Let v(s) = s**2 + s - 4. Let c be v(z). What is the second derivative of 5*q**c - 5*q + 3*q - 4*q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - k + 36 = 6*p, -2*p + 4 = -3*k. Let q = -6 + p. Solve -5 = -q*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 31 - 60 - 65)*(5 - 5 - 3*z).\nAnswer: 459*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 10*d - 10. Let o be n(-8). Let a be o\/4*20\/(-15). Let w = a + 38. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23766887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmnnnmnnmnnnncn. Give prob of sequence cn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 35. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s - 4393 = -305. Let l be 20\/(-6)*174\/8. Let a = s - l. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29108065 divided by -5821613.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103.2 from 10.871.\nAnswer: -92.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 12) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/3 + 1396604*l\/3 + 4189758 = 0.\nAnswer: -698293, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3370180 is divided by 1598.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkt when three letters picked without replacement from {f: 1, r: 2, j: 6, x: 1, t: 1, k: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 343?\nAnswer: 5831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 202, 377, 566, 775, 1010, 1277?\n\"Answer: j**3 + j**2 + 165*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04123503936 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2414 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 75156 = -2*o, -4*o - 5*m = -6*o + 75176. Let z = 69540 - o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722610, -722789, -722972, -723159, -723350, -723545, -723744?\nAnswer: -723947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*j**4 + 99*j**3 - 99*j - 296\/3 + 295\/3*j**2 = 0 for j.\nAnswer: -296, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 14*r**2 - 30*r - 32. Let w be d(16). Solve -4*m - 2*x = -4, w*x = -x - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, 5, 55 in descending order.\nAnswer: 55, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 598 = 50*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 4)*((-1 + 2 + 2)*(0*r + 4*r - 2*r) + 5*r + 4*r - 5*r).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 20997*j - 20992*j + 30, -4*j + s = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9926823.43 minus 8.9?\nAnswer: 9926814.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2494 - 2464. What is the smallest common multiple of j and 141?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsosmssshosssp. Give prob of picking 1 f and 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11186 is divided by 158?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, l: 4, a: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645003250 a multiple of 7975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44172901.42 rounded to the nearest ten thousand?\nAnswer: 44170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbobbobbbbbb. What is prob of sequence bbo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -67539788.7726 and -0.1236.\nAnswer: -67539788.8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Suppose -5*z + 2*f + 63 = 0, -1 = d*z - 2*f - 53. Suppose 5*r - z = c + 28, 0 = -2*r - 5*c + 21. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -7\/38109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.9. Let b = -0.01 - -17.01. Let l = b - 17. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 + i**2 - i - 1. Let f = -54 - -27. Let b be (2 + f\/12)*-20. Suppose 3*r - b*r + 2*g - 6 = 0, -4*g + 13 = -5*r. Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - (-5)\/(-10). Let o be 5*(g - 6\/(-10)). Let t be -1 + (-209)\/(-55) + 4\/40*2. Solve t*i - h = 12, o*i - 5*h - 13 = -1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213408 is divided by 135.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 461*i + 503 wrt i.\nAnswer: 461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/140 - 5*m**4\/84 + m**3\/42 + 5*m**2\/14 + m. Factor b(r).\nAnswer: -(r - 1)*(r + 1)*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11070 and 134890.\nAnswer: 3642030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -2)*43 + -1. Suppose 5*s - 2*f = f + 123, -2*s = -3*f - t. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - 4*x, -2*x + 12 = 3*a. Calculate the remainder when 43 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5417 plus -5189149757?\nAnswer: -5189155174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-51) + (-616)\/(-840) + 7\/(-20)*4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 5 - 2)*(-h**2 - 2*h**2 + 5*h**2) + h + 3 - 2 - h**2 + 4)*(-h - 2*h + 5*h) to t + x*h**3 + l*h + z*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02546 and -401.37.\nAnswer: -401.39546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - l = -5167, 0 = 6*g - g - 5*l - 12880. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 12:44 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4145\/71053 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (6 - (10 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + sqrt(153)*1)*2 + 0.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2680972 smaller than -2680972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -80. Suppose i = -0*s - s + 9, -2*i + 26 = 3*s. What is the remainder when u is divided by -36*s\/(-16) + (-5 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66443, -66354, -66263, -66170, -66075?\nAnswer: -65978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28904.498 + -249.73409.\nAnswer: -29154.23209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 21\/15)*-1. Let j(d) = -d**2 + 14*d + 16. Let x be j(17). Let r be x\/35*1*3. Which is the nearest to k? (a) 11 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + t + 31 = 0, 4*a + 4 = -5*t + 87. Solve -2*u + j = u + 13, -3*u + 2*j - a = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/25))\/o*o**(2\/11))\/((o*o**(-2))\/(o*o**(-2\/5))))**(-2\/23) assuming o is positive.\nAnswer: o**(-1024\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1049369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/75 (b) 0.5 (c) 2\/21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1152*g**2 + 489*g**2 + 997*g**2 - 34 + 228*g wrt g.\nAnswer: 5276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10175912*n + 11702398 wrt n?\nAnswer: 10175912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*i + i + 2819, 5*c = 2*i + 3495. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1 - (-62 + 54)) + 48 + -46 - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - 6b9?\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*o**2 + 359*o**2 - 477*o - 4*o**3 - 179*o**2 - 615*o + 6577*o wrt o?\nAnswer: -24*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/34629 and 57\/4550.\nAnswer: 22508850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 31 = -0*q - 3*z, -3*z = 9. Let r be 6*((-2)\/3 + q\/11). Let d(s) = s - 1. Let p be d(-3). Put p, 4, r in descending order.\nAnswer: r, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 0*n - 2*n)*(-3*n**3 + 2*n**3 + 2*n**3) + n - 4*n**4 - 3*n + 2*n**4 to j*n**3 + i + p*n**2 + g*n**4 + r*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.986884 kilometers?\nAnswer: 9986.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -173790.8 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007655489 rounded to 4 decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 3*s + 3. Let k be m(-3). Suppose 3*f - k*v = 8*f + 192, -5*v = -2*f - 52. Calculate the common denominator of 99\/10 and 319\/208 + f\/(-234).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 12. Let d be s(0). Let y = d + 25. Calculate the greatest common factor of y and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17)\/((c**(-12\/11)\/c)\/c)*(c\/c**37)\/((c**(-16)\/c)\/c*c) assuming c is positive.\nAnswer: c**(-362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 763364591 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8743 is divided by 2828.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*j*q**3 - 3*j*q**2 + j + 10 wrt q.\nAnswer: 1608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.98. Let h be 19\/2 + 5\/10. Let i be 12\/h*(-2)\/6. Is i < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.68 and 0.0138.\nAnswer: -0.6662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2\/5 + 342*d\/5 + 34 = 0.\nAnswer: -85, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/7 + ((-25596)\/(-42) - 1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*l + 8*l - 53 = 0, -q = 4*l - 21. Let m = -8 + 11. Let r = 9 - m. Calculate the remainder when q is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 2 - 1)*(0 - 4 + 3)*((-4 + 1 + 1)*(-1 + 3 - 1)*(-15*d + 5*d + 0*d) + 18 - 18 - 2*d) in the form r + s*d and give s.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + 1 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 9*p**2 + 3*p**2 + (-2 + 2 - 3)*(0*p**2 - 3*p**2 + p**2) to the form j*p**2 + i*p + q and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - t)*(-5 + 20 + 14).\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*1*-10. Suppose 2*x - h = -3*a, -8 = -4*x + 5*a + 11. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 101. Which is the nearest to u? (a) -1\/2 (b) -2\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486 = 8*u + 1526 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6028, 23985, 53876, 95701, 149460, 215153, 292780?\n\"Answer: 5967*q**2 + 56*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/(-3))\/(-3 - (-145)\/45). Let r = -148 + 232. Calculate the highest common factor of r and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*f + 20, -2*f - 13 = 3*v - 2. Suppose f*l + q - 5 = 0, 16 + 4 = -2*l + 4*q. Let y = 775\/117 - 61\/9. Are l and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 1250 + 3*j - 1250 - j**4 - 4*j**3 to y*j**2 + f + n*j**3 + c*j + b*j**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from kekkmmeeemxme?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 f when four letters picked without replacement from fdfdfddfdf.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3aa84 (base 14) to base 4\nAnswer: 203111330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/5 (b) 1\/4 (c) 1\/2 (d) 1702 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -125365025*0.2\nAnswer: -25073005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1379 + 1378.131. What is k rounded to 2 decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498.7 - 54.7. Let o = 446 - u. Which is the nearest to 0.1? (a) o (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + u = -1482, 2761 = -5*a + u + 10167. Calculate the remainder when a is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*x - 30*x = 0. Which is bigger: -4\/2299 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -392*c + 1568. Solve 3*n - 2*n = c*p + 1, n = -p + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 21. Is 10*21\/k*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.410981 months?\nAnswer: 0.00211758175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 15. What is the smallest common multiple of 5 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, g: 1, o: 2, p: 1, w: 3}. What is prob of sequence pa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 17.346.\nAnswer: 17.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 676584191 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, p: 8, d: 5}. Give prob of picking 1 x and 1 p.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36352 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 s when four letters picked without replacement from {d: 4, q: 9, r: 1, s: 3, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 6. Let c be 1 + (0 - r - -5). Let f be (-12)\/(1 + (-10)\/4). Solve k + 2*k = -2*h - 10, -c*k = f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.2 or -7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10168\/35 - 4029923\/13860. Let l = -23\/134 - 4041\/268. Calculate the common denominator of l and q.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/27)\/((-1)\/(-12)). Suppose 0 = 5*q + 6*t - t - 3155, -1268 = -2*q + m*t. What are the prime factors of q?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1224)\/(-85))\/(-3)*(2\/12)\/((-20)\/(-2700)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*x**3 - 70 + 70.\nAnswer: 78*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(3 + -4 + 0). Solve -3*b = -b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-25)\/(-30)) - -1. Is 10 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1515334 (base 7) to base 6\nAnswer: 4225324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuz when three letters picked without replacement from {y: 1, z: 1, x: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 221 - 31 = -4*q, -2*q = 0. Let x = c - 249. Solve -x*i = 2*k + 7, 2*i - 4*k - 35 = -13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -209\nAnswer: 8\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 - j - 3. Let u be b(-2). Let l = -38 + 47. Solve -3*q + 0*y + y = l, 3*y - 9 = u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*s**3 + 27103042 - 27103042.\nAnswer: 664*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*a - 148*a - 284*a - 136*a = -23240 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81827770.\nAnswer: 2, 5, 67, 122131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 0*b - 36*b + 113*b.\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let u(m) be the first derivative of -m**3\/3 - m**2 + 2*m + 2. Let h be 4\/16 + 5\/(-4). Let o = 8 - 6. Calculate h*u(w) + o*l(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m**3\/3 + 20*m**2 + 32*m. Let h be b(5). Suppose -y + 10 = -0*y. Calculate the highest common divisor of y and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 59604*n + 119216.\nAnswer: -2*(n - 29804)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21152 divided by -5?\nAnswer: -21152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7.961561?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 7*t**2 + 11*t**3 + 7*t**2 - 8*t**3 + 2.\nAnswer: 7*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*6\/1. Suppose 0 = -s*d + 43 + 33. Let n = 87 + d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, -4, -12.\nAnswer: -12, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389 - 224. What are the prime factors of g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 6*v - 3*v + 5*v - 2*v - 4*v - v - 3 + 3 + (v + 0 + 0)*(-3 + 3 - 1) - 3*v + 0*v + v + v + v - 4*v + 26 + 18*v - 26 - 18 - v - 26 + 20.\nAnswer: 11*v - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*s + 3 - 14*s**2 + 55*s - 1 in the form v*s + k + w*s**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.59 + -17. Let t = j - -1.91. Let x = 1 + -1\/3. Put -1\/3, 5, x, t in descending order.\nAnswer: 5, x, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*z - 5 = -12, 13 = 5*h - 3*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 129232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 57 = 0, -2*j + 2 + 7 - 10 = -f + 1 + 13 + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 866 and 11876794210.\nAnswer: 11876795076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 - (-1 + 1)) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1419145 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 15, 2\/7 in increasing order.\nAnswer: -4, 2\/7, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 - 308.068. Let p = o - -0.968. Which is the second biggest value? (a) p (b) 0.2 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 - 10*u**3 + 150*u**2 + 1250*u + 2500 = 0. What is u?\nAnswer: -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -573276 divided by -8686\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 74 = -2*u - 40, -3*i + 5*u + 15 = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -908 + 904. Let t = -2 - -10. Let r = t + -6. Which is the second smallest value? (a) 5 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*l**3 + 2*d**3*l*w**2 - 58*d**3*w - 949*d**2*l**3*w**2 wrt w?\nAnswer: 4*d**3*l - 1898*d**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibiiaiiaaba. Give prob of sequence baib.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 270 = -4*o. Let i = -1105 + 2275\/2. Calculate the common denominator of i and (-2)\/3*o\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c - 5*c. Let o(n) = 16*n**3 + 4*n**2 - c*n - 17*n**3 + 2*n**2 - 4. Let i be o(5). Solve 0 = -2*z, 0 = 5*l + 3*z - i*z - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255902*z**5 + 92426*z**2 + 1 wrt z?\nAnswer: -15354120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 1 - 4*p + 2*p. Calculate the remainder when 45 is divided by i(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 15*h**2 + 4*h - 10. What is u(15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(242)))**2 - 6*(sqrt(242)*1 + sqrt(242)).\nAnswer: 418*sqrt(2) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 49, -3, 4 in descending order.\nAnswer: 49, 22, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610517.\nAnswer: 3, 536839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:05 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/9 (b) -2\/7 (c) -0.1 (d) -0.6 (e) -2 (f) 10 (g) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:05 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89818694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(-1 + sqrt(2736))*-2)**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63, -124, -183, -240, -295, -348?\n\"Answer: h**2 - 64*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 625 - 250. Let f = q - -22. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**3 - 730*n**4 + 3 + 725*n**4 + 0*n**2 + 0*n**2 to the form m + o*n**2 + f*n**4 + w*n + y*n**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5290 - 24451 = -4*v, -5*u - 2*v + 31921 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - t = -11, -x - 6 - 10 = -4*t. What is the biggest value in 2, 0.4, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = -2*o + 282 - 29 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 1 + -346 + 405 - (-21 - (-1 - -1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0212 - -336.0212. Let b = c - 334.832. Let k = b - 1. What is k rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.53? (a) 6198 (b) 2\/5 (c) 1 (d) -3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1509*i**2 + 2006*i + 31. What is j(-2)?\nAnswer: 2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*f**3 - 24*f**3 + 13*f**4 + (-2*f + 2*f**4 + 2*f)*(-3 - 3 + 4) + (0*f**2 - 2*f**3 + 0*f**2)*(1 + 2*f - 1) + 20*f**2 - 7*f**4 - 20*f**2.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(4\/9)*h)*h*h**(-2\/27))\/((h\/(h\/(h\/(h*h**3)*h)))\/h*h**(-2\/7)) assuming h is positive.\nAnswer: h**(901\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -36*g + 32*g. Suppose 3*o + 2*c - 491 = 0, -o + 3*c + 36 = -g. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 2, t: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 2*t**5\/15 - 2013*t**2. Let j(u) = 8*u**2 - 3. Let p(o) = 33*o**2 - 11. Let l(q) = -11*j(q) + 3*p(q). What is l(s(y))?\nAnswer: 704*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from founi. What is prob of sequence ifn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 27424986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*d + 55 = -4*m + 479*d, 2*d = 6 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 80*t - 78.\nAnswer: -2*(t - 39)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -19 + 8 - 3*a**3 + 39*a + 41 + 6*a**2 = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:05 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.209886 + 1.21. What is n rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 623*y**2 - 2*y - 5. Let h(s) = -s**2. Give t(h(m)).\nAnswer: 623*m**4 + 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 20046.\nAnswer: 220506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a39b (base 13) in base 16?\nAnswer: 123686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 347*u**2 + 360119*u - 4 - 360119*u - 1.\nAnswer: 347*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60770 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a**2*(a\/a**(1\/2))**(-46))**(2\/13) assuming a is positive.\nAnswer: a**(-36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 5 = 3*x. Let u be (3 + -3 - x) + 1. Suppose z + 5 = u, 3*a - 3*z = 39. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75481520 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 208.888 and 9.1.\nAnswer: 217.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -14 - 6. Suppose -6 - b = -4*j. Solve 2*s + 1 = m, 3*m + j*m = -15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4095*m**3 - 224*m**3 - 642*m + 642*m.\nAnswer: 3871*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 + y + 2. Suppose -5*u = i + 9, 2*i + 3 = 5. Let w be m(u). Let b = w - -12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8685 and 5?\nAnswer: 43425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.627 to 1 dp.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**3 + 24*d - 24*d)*((6 + 0 + 0)*(-2*d - 3 + 3) - 3*d + 7*d - d).\nAnswer: -117*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(135)\/sqrt(3)*-5 + sqrt(45) - ((sqrt(90)\/sqrt(2))**2 + 1)).\nAnswer: -46 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196431 (base 10) in base 14?\nAnswer: 5182b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150410 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g - 172 = 0. What is the remainder when g is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, c: 1, m: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7103741579 - -1?\nAnswer: 0.2896258421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44268 is divided by 245.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081 + 2879 - 2*a + 2*a**2 + 2557 + 238 - 3*a**3.\nAnswer: -3*a**3 + 2*a**2 - 2*a + 4593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1, 5, 3, -5 in ascending order.\nAnswer: -5, -1, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1278 divide 14421700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 37.9999718. Round m to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 - 12*t - 7. Let o(m) = -8*m**2 - 11*m - 6. Let n = -217 - -221. Suppose 70 = 14*i - n*i. What is i*o(a) - 6*j(a)?\nAnswer: -2*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, x: 7}. What is prob of picking 1 z and 1 x?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2848, -3794, -4750, -5722, -6716, -7738, -8794, -9890?\nAnswer: -11032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142 and 28.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/37))\/j*j*j\/(j**13\/j))**42 assuming j is positive.\nAnswer: j**(-15414\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97.148 + -0.548. Let z = -96.60006662 + g. Round z to 6 decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - 4*i)*(-9*i - 4 + 10*i + i).\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**3 + 13\/24*a**4 + 15*a**2 + 0*a + 0. Find the first derivative of d(t) wrt t.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(405) + (sqrt(405) + -2*sqrt(405) + sqrt(405))*5 + -2)*4)**2.\nAnswer: -15552*sqrt(5) + 63504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 7*q**5 + 27188*q**3 - 27187*q**3 + (3 + 3 - 5)*(-2*q**5 + q**5 + 4*q**5).\nAnswer: -7*q**5 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Let s = 0.06 - -0.19. Let c = 0.34 - s. Is c at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.04 - -0.16. Let r = -24.72 - 6.18. Let q = 31 + r. Is q < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1414 + 242. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3\/2 - 642765*z**2\/2 - 1606881*z - 1285500 = 0.\nAnswer: -214250, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189837587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -8. Suppose -27599994 = 2*f - 6*f + v*i, 4*i - 8 = 0. Round f to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 10803.1?\nAnswer: 10803.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31831671?\nAnswer: 3, 211, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -82c5?\nAnswer: -82c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2. Let m(a) be the third derivative of 0 + 0*a + 0*a**3 + 7*a**2 + 7\/24*a**4. Determine w(m(v)).\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11376 (base 15) to base 3\nAnswer: 2210011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26333 - -253413184.\nAnswer: 253439517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -9*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zpzppzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 17 (c) 2\/15 (d) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237107085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*o + 3, -3 = -o + 7*a - 3*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 2655522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 55 = -13*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 716*q = 2*b + 720*q + 11 - 1, -5*q = 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 529 and 5?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*y = 310, b - 16 = 4*y + 62. What is the least common multiple of 2 and b?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1347*q + q**2 + 1399*q - 4*q**2 + (-1 + 1 - 1)*(6*q**2 - 2*q**2 - 6*q**2) as k*q**2 + w + n*q and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -23\/3, -0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 52 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259064 and 221169.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 2:45 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 + -14 - -32) + -25 + 24.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13015 or -13016?\nAnswer: -13015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*t**2 - 47*t**2 + 11*t**2 - 278)*(6*t**2 - 13*t**2 + 6*t**2) to the form k*t**3 + s*t + j + d*t**4 + i*t**2 and give i.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from wuwjjwjwwjjjujjjw.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3164239 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285269 - -285270. Suppose 4*n + 2*a = 12, 4*n - 2*a = 17 - 5. Put u, 0.66, n in increasing order.\nAnswer: 0.66, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 - 9*j**2 - 106*j + 10. Let m be h(7). Which is the biggest value? (a) -4 (b) 0.05 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 - d**4\/24 + 5*d**2. Let r be i(-1). Let c = r - -10. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.1816 millimeters in centimeters?\nAnswer: 65.21816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/135 and 37\/178.\nAnswer: 24030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4639, -4566, -4433, -4240, -3987?\nAnswer: -3674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.407 to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2216996 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010550 (base 6) to base 7.\nAnswer: 1126314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84920000 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154340735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8200*a**3 + 22633*a?\nAnswer: -49200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1351*h**3 - 2*h - 914?\nAnswer: 4053*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/13 - 17024*z\/13 - 36227072\/13 = 0. What is z?\nAnswer: -4256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -75343 divided by 1277\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4674 and 1026.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3573 is divided by 3559.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -92*1.996\nAnswer: -183.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*g - 126*g - 2*g**3 + 7*g**3 + 63*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2544.3 + -2767. Let p = -374 - -584. Let k = p + c. Round k to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268 - -267.848. Let v = m - -0.652. Let p = -209\/12 - -50\/3. Sort v, 4, p, -0.1 in increasing order.\nAnswer: p, -0.1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/426450 and 79\/1262292.\nAnswer: 31557300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 45*c**2 + 60*c - 100 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2322\/1935)\/(-3 - (-2)\/80*117)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4260?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**3\/3 + 3*l**2 - 8. Let q(z) = z + 1. Let k(h) = -j(h) - q(h). Let t(g) = g**2 - 6*g + 9. Let x be t(6). What is k(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 182 and 14?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 + -6. What is the third smallest value in 3, k, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 10) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*u - 22 = -m, -2*u = -3*m - 12. Let v = 9 - 7. Is (-4 - m)*(215\/v)\/(-5) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5799 and -6896.\nAnswer: -12695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 + -1010011001100?\nAnswer: -1010010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + 77*o - 252*o in the form h + q*o and give q.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 23*g**2 + 37*g + 37. Determine a(25).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.396015 micrograms?\nAnswer: 0.000003396015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8 and -1291.4?\nAnswer: 1292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 2*g**3 + 19*g**2\/2 + 10*g + 55. Determine d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 71. Let j be 55\/(-7) + g*(-5)\/140. Let a be ((-84)\/j)\/((-12)\/128*-4). Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x - 165 = -55*x. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/(2\/15). Let l be (1\/x)\/((-2)\/(-12)). Let f be (l - (-3 + 0))*-1. Is -1\/4 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 6. Let z be y(8). Suppose 0 = 4*v + 6 + 2, v - 4 = -z*h. Solve 0*d**2 - 2\/3*d + 0 + 2\/3*d**h = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9))**(-25)*n**(-7\/5)\/n**3 assuming n is positive.\nAnswer: n**(-448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/(l\/(l\/l**15))*l)\/l*l)*l**(-1\/8))\/(l**(-2\/7))**(-3\/16))**(8\/9) assuming l is positive.\nAnswer: l**(830\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057820 divided by 4?\nAnswer: 264455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*(1 + 0\/(-4)). Let z = y - 14. Is z at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let s = y - 4. What is the units digit of (-1488)\/(-108) - s\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -37209\nAnswer: -4\/37209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 20862.\nAnswer: 166896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*c**2 + 0 + 0*c - 2\/9*c**3.\nAnswer: -2*c**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 947669 and 5911?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 2*i - 9 = -i. Let a = i + -1. Suppose 0 = 7*v - a*v - 5. Are v and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0166242nm in kilometers?\nAnswer: 0.0000000000000166242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 460. Let r(f) = -13*f**2 + 3225. Determine r(q(s)).\nAnswer: -13*s**2 - 11960*s - 2747575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1045\/29 + 42727\/1131. Find the common denominator of b and 29\/21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91.208252 + -1.796048. Let w = -94.34 - -1.34. Let g = w - k. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 3584?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q, 14 = j + 3*q - 0. Suppose -4*z = -0*z - d + 2, 2*z + d = j. Let c(p) = -2 + 13*p + z - 16*p + 1. What is c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) 4 (c) 1\/22 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-144)\/4*2\/(-6). Suppose b = -g + 4*g. Solve g*i - 5*i = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -41*f**2 + 1969*f - 46. Give r(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 + 4*w**2 + 2*w. Calculate j(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 11281.\nAnswer: -11281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1566522 by 87029.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 3134049*g + 6268110.\nAnswer: -3*(g - 2)*(g + 1044685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052987454?\nAnswer: 2, 11, 167, 181, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -104. Let p = -45.1 - o. Which is the closest to 0.2? (a) p (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137681364 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -613424*12\nAnswer: -7361088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5890128719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 12*c**2 + 140*c + 4*c**3 - 2277*c**4 - 192 - 18*c**3 - 4*c**2 + 2278*c**4.\nAnswer: (c - 16)*(c - 2)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 9*f - 28 to c*f + r and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 54*x**3 - 3*x**2 + x. Let b(k) = 54*k**3 - 4*k**2 + k. Let h(y) = -3*b(y) + 4*c(y). List the prime factors of h(1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 22 = -3*q, -i + 6 = -q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -a8?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.46.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 5) + 1\/2*0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14591 - 15040. Is w != -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32604 divided by -429\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 0*g)*(0 - 1 + 4) + 17*g + 1 - 4*g + 0 + 85 - 85 - 99*g.\nAnswer: -89*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 8*y - 2. Let z be o(-9). Is 7 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*d + d - 8, 4*y = 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -4, 404?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1729\nAnswer: 8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131950 is divided by 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6686.\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 14*j + 26. Suppose 16*o - 222 = 18. Determine t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/276505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4988 = 4*k - 13192, k = -2*l + 2060. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96702.12 millilitres?\nAnswer: 96.70212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2982 (b) -5 (c) 0.5 (d) 4 (e) 20 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -3 (c) 1 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103562 + -51881. Let o = t - 24848. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(119) - (sqrt(119) - sqrt(119)*2)*-1)\/((sqrt(14)\/sqrt(2) + sqrt(7))*2) + 4*sqrt(612)*-1*-2).\nAnswer: -192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.6 + 6.7. Let t = -25.3 - 1.2. Let d = t - -27. Sort k, -7, 0, d in increasing order.\nAnswer: -7, 0, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -165 + 3b29?\nAnswer: 3984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 84*z + 4. Let p be u(1). Let s be 1152\/320*(-130)\/(-4). Let m = s - p. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/(-20)*20*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 1, e: 1, u: 5, g: 2, z: 2}. What is prob of picking 2 v and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -5, 1 in descending order.\nAnswer: 2, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tah when three letters picked without replacement from htttfafttttttattfhtt?\nAnswer: 13\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -483, -728, -989, -1272, -1583?\nAnswer: -1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269\/390 - 3\/130. Find u such that 0 + 1\/3*u**2 + v*u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.9372 to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260233233 by 13.\nAnswer: 20017941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020100 (base 4) to base 2.\nAnswer: 10001000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(2\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63159 and 1?\nAnswer: 63159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 2, e: 2, p: 2, m: 1, d: 5}. Give prob of sequence iedm.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/870 and -50\/7.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t - 420. Calculate d(-41).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -98*b**2 - 10*b + 94. Let c(y) = -y**2 - y. Let v(h) = -a(h) + 10*c(h). What is the first derivative of v(k) wrt k?\nAnswer: 176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 170?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let v(k) be the third derivative of -k**7\/420 + 5*k**4\/24 + 8*k**2. Let t(c) be the second derivative of v(c). What is m(t(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 + 3 - 19*s + 4)*(-8*s**2 + 0*s**2 - 2*s**2).\nAnswer: 190*s**3 - 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62715297 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4917003?\nAnswer: 3, 7, 13, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698 (base 10) in base 8?\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 5) to base 16.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.07682 milligrams in micrograms?\nAnswer: 37076.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + x + 1. Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:27 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, 0.06, 0.4, 1\/2.\nAnswer: -0.3, 0.06, 0.4, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19838.42 times 1.2\nAnswer: 23806.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1908581, 1908557, 1908517, 1908461, 1908389, 1908301?\nAnswer: 1908197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130*r**3 - 234*r**3 + 31*r - 73*r wrt r.\nAnswer: -624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 14*h**2 + 3*h + 31. Give v(14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34f1 + 5?\nAnswer: 34f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 0*k**3 + 1175530100*k**2 - 1175530042*k**2.\nAnswer: 2*k**3 + 58*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i - 315106 + 312215 = 0 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + -1)*5*4)**2.\nAnswer: 400000*sqrt(17) + 17040000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1079735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + -1 + 1))) + -3 + -1*sqrt(1539))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1810800 and 53100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.318, 3\/4, -1\/145?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67939, 271740, 611399, 1086916, 1698291?\n\"Answer: 67929*t**2 + 14*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(2736) + sqrt(2736) + -2 - (sqrt(2736) - (3 + -2 + sqrt(2736)))) + 3*1*(sqrt(2736) + -3)*6)**2.\nAnswer: -12960*sqrt(19) + 396009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 30*b + 252 = 0. Suppose 5*z = b*z + p - 60, 5*z + 4*p = 75. Let n = -3 - -23. Calculate the highest common factor of n and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 30, 61, 114, 195, 310, 465, 666?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*z + 1172*z**2 - 112*z + 178*z**2.\nAnswer: 1350*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 0 + -5)\/(9\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from glggggggggggggg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - (6 + -15 - (5 - 5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 1553.\nAnswer: 65\/1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and -0.1.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 1.4. Let t = k - 1. Which is the third smallest value? (a) -11 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 17 (b) -2\/11 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g - 338481 + 334486 = 0 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 + 712\/3. What is the common denominator of 21\/101 and k?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81781872 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q + 4. Calculate z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 2\/(-2). Let p = a - -5. Suppose 2*q + 4*j - 106 = 0, 3*q = j - p*j + 159. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let k(m) be the third derivative of -m**7\/80 + m**5\/30 + 9*m**4\/2 - 81*m**2. Let q(v) be the third derivative of k(v). Give q(u(o)).\nAnswer: 126*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1058 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -94276*p + 5279455. Give t(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x + 2*z, -4*z - 28 = -0*x - 4*x. Suppose 2*g + 2*n - 5 = 3, x*n - 3 = 0. What is the nearest to 4 in -3\/7, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 2. Let j be w(6). Suppose 5*y - j = 4*y. What is the first derivative of -5 + 2*l - l**4 - 2*l + y wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -11 (c) -4 (d) -2 (e) -1 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 32*l + 11. Give r(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(7\/210*-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-7) - (1 - 0). Suppose -3*a = 2*p + 30, 41*a + 33 = 44*a - 5*p. Sort 1, 0.5, a, j.\nAnswer: a, j, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/31, -29, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0496306394 to four dps.\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 64791.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/40 + t**5\/4 - 13*t**4\/8 + 7*t**3\/2 - 94*t**2. Factor i(u).\nAnswer: 3*(u - 1)**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157456713 - -3?\nAnswer: -157456710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 m when four letters picked without replacement from {n: 2, b: 1, m: 1, w: 3, v: 1, o: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - u + 8 = 0, -77*v + 70*v + 55 = 2*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/1)\/((-42)\/(-105)) - 4. Let f = l - 139. Solve -5*n - f = 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (318\/48 - 7)\/((-3)\/24). Let i(d) = -d + 6. Let h be i(l). Solve -b = 5*z + h + 14, 4*z = 5*b - 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + 61*q**4 - 5*q**3 - 2064*q**2.\nAnswer: 120*q**2 + 1464*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 i when three letters picked without replacement from {b: 5, l: 1, v: 1, n: 1, i: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - 5*h**3 - 5*h)*(13 + 18 + 12)*(-2 + 0 + 1)*(-1 + 1 + 2*h) to t*h + x + g*h**4 + f*h**3 + c*h**2 and give g.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17540682*v**2 - 53599343 wrt v.\nAnswer: 35081364*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and -23.4416 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 57, 100, 157, 228?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45894.\nAnswer: 2, 3, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (573678\/52752)\/((-54)\/32).\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6703644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (35 + (3 - (5 + 3))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.33 + 22.23. Which is the closest to h? (a) 1 (b) 22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -39.00064. What is n rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4*c*c)\/(c**(-4)*c))**(2\/5) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -56. Suppose -12 = -4*j - p, -5*j + x*p = -8 - 7. Factor 3*f**2 + 9\/2*f**j - 9\/2*f - 3.\nAnswer: 3*(f - 1)*(f + 1)*(3*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (122\/(-8))\/((-2)\/40). Let c be 32\/400*765 - 2\/10. What is the highest common factor of c and g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015512 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*h = 5*i - 122*h + 42, 24 = i - 4*h + 7*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let 55*o**5 - 370050*o**4 + 1916050*o**3 + 33900*o**2 - 1916105*o + 336150 = 0. Calculate o.\nAnswer: -1, 2\/11, 1, 5, 6723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.42.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.52. Let j = 9191 + -27574\/3. Which is the closest to -2\/9? (a) 2\/5 (b) l (c) 2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 3}. What is prob of sequence qqqt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 - a - 5. Let t be h(5). Solve -5*m = -2*m + t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 + 30?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 865159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2184 and 72?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -12 + (2 - 4) + (5 - 17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757490.7 minutes to microseconds.\nAnswer: 45449442000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 4*p**3\/3 - 25. Let y(i) = 4*i**2. What is l(y(d))?\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1211)\/2422)\/(2\/92)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97921 divided by -260.\nAnswer: -97921\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 - r - 1730 + 199.\nAnswer: -r - 872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*r - 132*r + 5*h = 481, -h + 5 = 0. Which is the closest to 2\/7? (a) -3 (b) r (c) -1\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4*(-88)\/33*6. Calculate the common denominator of -28\/3 and ((-5)\/s)\/(9\/44).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1579b (base 16) to base 13\nAnswer: -31065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 5*l + 8, 5*x + 27 = l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t)**(1\/42)\/(t\/(t**(1\/4)*t))**(-4\/35) assuming t is positive.\nAnswer: t**(-13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {x: 4, j: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 24203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 149 = -6*z. Suppose -f - 3*y - 3 = -17, -2*f = 4*y - z. Which is the third smallest value? (a) -1\/4 (b) -0.2 (c) -2\/5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - p + 12271 = 0, 2*p - 9202 = -2*g - g. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.018997 millilitres?\nAnswer: 0.009018997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 2 - k + 2)*(-25 + 10*k**2 - 22 + 46) to the form n*k**2 + b*k + q*k**3 + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 + 7*v**2 - 11*v - 3. Let d(c) = -18*c**3 - 21*c**2 + 32*c + 9. Let i(q) = 3*d(q) + 8*l(q). What is i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(-626)\/136 - (-15)\/(-85). Suppose -4*v + 2*y - 3*y - 157 = 0, -4*y - 96 = 2*v. Is v smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86.76024 months?\nAnswer: 0.723002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 921*l**2 + 921*l**2 + 1 - 6*l**3 - 4*l**4 + 3*l**3 to q*l**2 + v + j*l + h*l**3 + i*l**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 12. Let f(u) = 6 - 7 - 3*u + 4*u - 3*u. Let p(b) = -5*f(b) + k(b). What is the derivative of p(z) wrt z?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/434 and -89\/105322.\nAnswer: 3264982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 + -138.4. What is the third smallest value in -1, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -321 and -324 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5908, 34 in increasing order.\nAnswer: -4, 34, 5908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*p - 19 - 15, 5*p + v = -58. Is 0 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/50 and -7\/620195.\nAnswer: 6201950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 4*i**2 + 3*i**2)*(3*i + 2*i - 6*i + (-i + 0 + 0)*(-1 + 2 - 2) + 3 + 2*i - 3 + 0*i - i + 3*i)*(-15*i - 34*i + 5*i).\nAnswer: 352*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1 - 2*o**2 + 2*o + 2*o**2 + 3*o**2 - 2*o**2. Let p be y(-2). Suppose -51 = 11*u - 8*u. Is p at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*d - l + 2, -l = 6*d - 82 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*x + 5. Let m be x - 22\/((-3)\/3). Is 19 a factor of m - (-2)\/(2*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*c + 111 - 439, -3*c = 0. Calculate the remainder when i is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 11 + 29 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/7*2\/(24\/42). Let p(u) = -2*u + 4*u - 5 - 2*u + w*u**2. Let q be p(-3). Calculate the highest common divisor of q and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - s + 34 = 0, 0*s - 2*s - 76 = 5*i. Let t(v) = -v**3 - 13*v**2 + 7*v + 60. What is the hundreds digit of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -74. Which is the closest to 0.1? (a) o (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**5\/6 + 7*o**4\/3 - 14*o**3 - 61*o**2\/3 + 415*o\/6 - 38 = 0.\nAnswer: -4, -19\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9230318 or 9230316?\nAnswer: 9230316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 3*l - 4. Let r be s(3). Which is bigger: 6 or r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134378440?\nAnswer: 2, 3, 5, 5928829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392.98962 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4710*i - 1. Let r(s) = s + 3500 - 6999 + 3499. What is r(w(q))?\nAnswer: 4710*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 272 = 3*c, 5*c + 5*i - 73 = 397. Let q = c - 59. Let t(r) = 3*r + 2. Let f be t(6). What is the greatest common factor of f and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 7 + 2*y**4 + 3 - y**3 + 2576604*y**2 - 2576605*y**2 to j*y + d*y**2 + f*y**3 + u*y**4 + o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -d, -2*d = -3*d + 1. Suppose -8 = -c*t + 72. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 7*r + 19 = 0. Let y be (r - -1)*6\/(-9). Let f be -30*(-1 + 2 - 2). Calculate the highest common factor of y and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 282\/11 + -1161\/44. What is the second smallest value in q, 12, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 2*g**2 - 6*g**2 - 2 + 2 + g**2 + (2*g - 4*g + 4*g)*(2*g + 2 - 2) + 1 - 1 - g**2 + (2*g + 0*g + g)*(72 - 178*g - 72).\nAnswer: -531*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.6 + 4.6. Let u = 3.544 + i. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -1 - 19. Let r = 213204 - 213203. What is the nearest to 0 in h, r, -20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 11*r**2 + 6*r - 3. Let f be p(5). Calculate the highest common factor of 34 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65625 by 5.\nAnswer: -13125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppkpkpppp. What is prob of sequence kkp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/266 and -17\/1330?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/190 + 125\/(-2375)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 97.57705 hours?\nAnswer: 351277.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 4*a**3 - 4*a**3)*(5*a - 3*a - a) + (0*a**3 + 0*a**3 + 2*a**3)*(0*a - 2*a + 7*a + (-2 - 1 + 5)*(2*a - 4 + 4)).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, f: 1, m: 4, a: 6, l: 1, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/2 + -3 - -3. Suppose -i = f*i - 18. Solve a + 0 = i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 2 in ascending order.\nAnswer: -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9945580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*h**2 + 2 + h**4 + 46*h**2 - 2*h**4 to j*h + y*h**3 + z*h**4 + i*h**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*x - 2234055*m**2*z**2 - 20802*m**2*z + 122*m*x*z**2 - x*z - 48*x wrt z?\nAnswer: -4468110*m**2 + 244*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 1 + 1)*(5*k - 3*k + k) - 560 + 1109 - 552 + 35*k**2 as x + n*k + u*k**2 and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 9 + 1. Let f(m) be the second derivative of 0 + m - 1\/6*m**4 + 0*m**l + 0*m**3. Let i(v) = v**2. Determine i(f(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 10, y: 3, c: 1, u: 3}. Give prob of picking 1 u and 2 y.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70286298*h**4 + 3*h**2 - 13*h + 32295 wrt h.\nAnswer: -1686871152*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 601147750 rounded to the nearest one million?\nAnswer: 601000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19860969.25411 - 19860869. Let m = 203.25328 - r. Let t = -103 + m. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/6 - 21*k**2\/2 - 9*k. Let c(g) be the first derivative of y(g). Let a(t) = -t. Determine a(c(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252791 and 10751356.\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 17 = -a, 5*a - p - 37 = 3*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 + u**2 + 2*u - 2. Suppose -3*v - 5*w + 23 = v, 2*w = 3*v. Is j(v) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 30603.\nAnswer: 2\/30603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or -399206\/2981?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 - 4320\/2520\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:10 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:44 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061753777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1276, 2521, 3704, 4795, 5764, 6581?\n\"Answer: -5*a**3 - a**2 + 1283*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.1 (c) -58 (d) 4 (e) 906\/79 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:18 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 9:44 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -12*s + 131. Let r be 849\/s - (-6)\/15. Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**5 + 4*f**4 + 2*f**2 - 7*f - 6. Let t(q) = q**5 + q**4 - q - 1. Let u(m) = l(m) - 6*t(m). Let u(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*n + 7 = 0, 2*d - 16 = -2*d - 3*n. Let t(q) be the first derivative of q**3\/3 + 4*q**2 + 5*q + 6. Let k be t(-8). Solve -k*s + d = -9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 12*u + 8. Determine z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-39)*4\/((-16)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f - 60 = 0. Let t = f + 108. Is ((-6)\/(-15))\/(3\/t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -309, -9.\nAnswer: -309, -161, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8080 and 2303305.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*k + o, k - 597*o = -590*o - 145 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1 - (-25 + 20). Suppose 7*j - 25 = d*j. Solve -z = 4*z - j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5048185 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.4729 centimeters to nanometers.\nAnswer: 2924729000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 55 = 25*h. Let b(k) = 2*k + 1. Let g be b(-2). Sort 1, h, g, -1 in decreasing order.\nAnswer: h, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2. Let b(r) = 7 + 6 + 17*r**2 + 14*r**2 - 15. Give a(b(k)).\nAnswer: 4805*k**4 - 620*k**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 - 64. Let g = -93 + l. Suppose t + 44 = 5*t. Solve g*v - t = -b, -4*v - 5*b = -v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 25d12?\nAnswer: 25d16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40633732 divided by -23\nAnswer: -1766684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 1.3. Let s = d - 0.9. Which is the smallest value? (a) s (b) -3\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 10. Let b be p(7). Suppose 9*l - b*l - 10 = 0. Solve -l*z + z = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 - 809*a + 3968. Give y(5).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 1 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846569529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*m**2\/7 + 60*m\/7 - 18\/7.\nAnswer: -6*(m - 3)*(3*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -11 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*a + 42*a - 32*a - 4 + 1 to the form w + i*a and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -90093213 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10469827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163891012?\nAnswer: 2, 290972753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -513351 (base 6) in base 16?\nAnswer: -a003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(93926*o**3 - 93926*o**3 - 277*o**4).\nAnswer: 277*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 13 = 0. Solve d - a = -5*n, 0*n + 1 = n + d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 + 3*x + 14. Suppose 1 + 11 = -2*v. Let n be d(v). Sort 4, n, -5 in decreasing order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**2 + 5*t - 8. Let i be x(5). What is the units digit of ((-1)\/(-3))\/((-3)\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*h + 875*h**2 + 3056*h - 774*h - 756*h - 764*h.\nAnswer: 875*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011111100000111001 (base 2) to base 14.\nAnswer: 48abb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 112 = -3*z, 3*z = 2*d - 6*d - 92. Let o be 32 + ((-6)\/3)\/2. Let l = o + d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**4 + c**3 + c. Suppose 10*o = 14*o + 16. Let j(i) = 3*i**4 + 2*i**3 - 4*i - 4. Let t(h) = o*u(h) + j(h). Find the second derivative of t(p) wrt p.\nAnswer: -12*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361594124*d**2 - 2*d - 428301189.\nAnswer: 723188248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -i - 131, 2*h - 61 = -5*i + 32. Suppose -4*z + 3*z - h = 0. Let s = -24 - z. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4908, 4715, 4514, 4299, 4064?\nAnswer: 3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 13*s + 4. Let l be i(-13). Solve 0*b = b - 2*r - 4, b - l*r = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19288*n + 57844. Determine q(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (230 + -5)\/(-3*2\/(-20)). Suppose -100 = 5*b - l. Is 45 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2993 (base 14) to base 8\nAnswer: -16325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 129 = -7*p. Let b be (4 + -5)\/(2\/(-12)). Let m(i) = i**3 + 4*i**2 - 5*i + 5. Let s be m(-5). Solve -3*y - p = -b*h + h, 3*h - s*y - 28 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 3, x: 1, n: 1, s: 1, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1914, -3824, -5728, -7620, -9494, -11344, -13164, -14948?\n\"Answer: p**3 - 3*p**2 - 1908*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 divided by 194766.\nAnswer: -56\/32461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + 119. Let r = l + -257.6. Let q = 4.3 + -4. Which is the third biggest value? (a) 0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 30. Suppose 5*c - 12 = -c. Is (-37)\/(3\/(i\/c)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1217710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 98*f**4 + 203*f**3 + 141*f**2 + 40*f + 4 = 0.\nAnswer: -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5154325*j - 5154321*j - 14 - 2*j**3 + 24*j**2 + 4*j**3. What is l(-12)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576038 divided by -2?\nAnswer: 288019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let k(p) = 164*p**2 - 3*p. Let m(f) = -2625*f**2 + 49*f. Let g(r) = -49*k(r) - 3*m(r). Calculate d(g(c)).\nAnswer: -161*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*(u*u*u\/u**(3\/2)*u)\/u))*u)\/(u**11*u))**36 assuming u is positive.\nAnswer: u**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1908 by -212.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000421870948 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/((-15)\/(-260) + 0). Let z(i) = i**2 - 23*i + 30. Calculate the least common multiple of 18 and z(n).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2350 and 2585.\nAnswer: 25850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3384 = -13*r + 15552. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - -8) + (-59)\/18 and 71\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than -14652\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111\/2 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 16345 + 2751. List the prime factors of v.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 58 - 25*m - 21 + m**2 - 3*m**2 - 11. Let o(s) = -s**2 - 13*s + 14. Let i(l) = 6*k(l) - 11*o(l). Suppose -5 = -2*g - 19. Give i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(325) + 0)**2 + 3.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**(-10\/17)\/(m**0\/(m\/m**(-11)*m)) assuming m is positive.\nAnswer: m**(291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzhzqhqhzzzzhzhkh. Give prob of picking 1 h and 3 z.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z**2 + z**2 - 5*z**2 + (5 - 16*z - 5)*(z - 2 + 2))*(0*z**2 + 7*z**2 - 2*z**2) in the form t*z**4 + i*z**3 + g*z**2 + a*z + c and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is 605 minutes before 11:33 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108928 and 184?\nAnswer: 108928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let b be k(0). Put -1\/2, -2.1, b in descending order.\nAnswer: -1\/2, b, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 - 5\/1). Let y(g) = 7*g - 1. Let r(a) = 3*a - 1. Let s(n) = p*y(n) + 13*r(n). Does 8 divide s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) + 282\/26 + -2. Solve 3*v - r - 6 = 0, 3*r + 0*r = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000128944 to 6 decimal places.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i*i**(-6\/7)*i*i*(i**(-4))**(2\/15))**(-2) assuming i is positive.\nAnswer: i**(-2228\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 22. Let f(l) = 10*l**2 + 6*l + 9. Is f(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 958056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/40764 and 29\/197628.\nAnswer: 15612612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 48640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 389357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (117 + (-46 - 77)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*o - 4*z, 2*o - 10 = 6*o + z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (20 + -19 + 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 17501 (c) -37.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -1.2. Let q = 1.04 - 1. Which is the nearest to h? (a) 0.1 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**3 - 2*q**2 + 2*q**2)*(-120 + 24 - 50) to the form s*q**3 + k*q**2 + a + r*q and give s.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*i**4\/7 + 195453*i**3\/7 + 396159048*i**2\/7 - 1034899041*i + 128478042 = 0. Calculate i.\nAnswer: -4081, 1\/8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + 0)*-1*10\/(-40). What are the prime factors of (d\/(-9))\/(1\/(-117))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 8*l**2 - 10*l + 13. Suppose 18*p = 28 + 80. What is the smallest common multiple of y(-9) and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 1 - sqrt(684)) + -2 + (3*sqrt(684)*-5)**2 + 1.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(144)\/sqrt(4))\/(2*sqrt(288)).\nAnswer: sqrt(2)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - 12*r**5 - 8*r**2)*(3 - 1 - 1) + 9*r**5 - 34*r**5 - 25*r**5.\nAnswer: -62*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/15)\/(42\/160). Let t = 829325 + -69665087\/84. Let q = t + i. Calculate the common denominator of q and 13\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33 + -28 + (25\/20 - 1)*4. Calculate the greatest common factor of 1875 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11799636 is divided by 18294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 7) + 6 + (4 - 4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + sqrt(108) + 4 - ((-5*(5 + 5*sqrt(3)))**2 + -5).\nAnswer: -2486 - 1244*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:34 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1270 (b) 4\/15 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28.74831 millennia?\nAnswer: 344979.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175*p - 21 = 2178*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00509 to 4 decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 146744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 584429*p + 382829 wrt p.\nAnswer: 584429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t. Let n(y) = -7*y**2. Determine p(n(f)).\nAnswer: -224*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let p be ((-5)\/(-1 - -2))\/r. Suppose 0 = -3*n - 5*v + 12590, -p*n + 3*v + 13787 + 7219 = 0. What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/18)\/((-72)\/(-180))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685002738?\nAnswer: 2, 3, 7, 16309589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 3*t - 3*p, -1360 = -5*t - 0*t - 5*p. Suppose -59 - 169 = 2*j. Let g = t + j. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:48 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 40370*q**5 - 1057454*q**4\/3 - 413870*q**3\/3 + 1056878*q**2\/3 + 292760*q\/3 + 192 = 0.\nAnswer: -1, -4\/15, -8\/4037, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - 48 = 0. Let g be f\/(-14) - 4\/(-14). Suppose 2*h = -g*h + 4. Solve 5 = 2*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (1 - 11))*(-2)\/(-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 4, s: 1, j: 1, x: 3, f: 1}. Give prob of picking 1 p and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 13*a**2 - 7*a + 5. Let l(i) = -i - 1. Let r(c) = c**3 + 3*c**2 - c - 1. Let j(d) = -5*l(d) + r(d). Let x be j(-3). Is p(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/63)\/10 + (-4)\/(-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42427 is divided by 94.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/17 + 8192*u\/17 + 8388608\/17.\nAnswer: 2*(u + 2048)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 40. Let z be 188\/46*h + -4. Let i = 3 - 1. Which is the second smallest value? (a) 1 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.57671l in millilitres?\nAnswer: 7576.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4006193220747 and 0.1.\nAnswer: 4006193220747.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828875 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -323, -376, -429, -482, -535?\n\"Answer: -53*i - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = f - 15, 54*s - 18 = 60*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:01 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:54 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 7*a**2 - 1\/60*a**5 + 0*a + 0 + 0*a**4 + 1\/2*a**3. Let l(o) = o**2 + 1. What is c(b) - 3*l(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1859011.0289 - -1858875. Let o = -136 - v. What is o rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from rrdzdrgidrkrgrgrddkg?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29859 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 551, 778, 1005?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6283, 5804, 5301, 4768, 4199, 3588, 2929, 2216?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23492446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 3*h**2 + 3\/160*h**6 + 0*h**5 - 1\/8*h**4 + 0*h**3 + 1\/280*h**7 + 0 + 0*h. Suppose a(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruur. What is prob of sequence uru?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30))\/((-9)\/(-108)*6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -58. Suppose l = -l - 2*w + t, -19 = -l + 3*w. Let v = -2 + 7. Calculate the smallest common multiple of l and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and (-3 + 6)\/(-24) + 3160\/(-64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:18 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -2.7.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 66860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:00 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 10*j + 3. Let m be y(-10). What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 58\/5, -3\/7636, -1?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 3*m**4\/4 + m**3\/3 - m**2 + 1168*m. Let h(g) = 26*g**2 + 7*g - 7. Calculate -2*h(t) + 7*y(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3893.\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p. Suppose 3*n = -4*d + 3*d + 30, 4*n = d + 33. Let i(v) = -5*v**2 + 5*v. Calculate n*t(l) - 2*i(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/48599 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*(f*f*f\/f**(-3))\/f*f*f)*f*f\/f**3*((f**(-2)*f)\/f)**(-3\/19) assuming f is positive.\nAnswer: f**(-146\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let j be (-2)\/(-11) - (-1165)\/2970. Let x = j - 2\/27. Which is the second biggest value? (a) x (b) -2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 4*d + 3*g - 12 = y, 4*d + g - 44 = 6*g. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:53 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:29 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 461*u**2 - 14*u - 1. Let x(q) = -q. Calculate a(x(r)).\nAnswer: 461*r**2 + 14*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3502*d + 4727*d - 1979*d - 6270 + 1140836*d**2 + 566*d - 1140838*d**2 wrt d?\nAnswer: -4*d + 6816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-4)*(-7 + (-195)\/(-25)). Suppose y = -5*o, -3*o + g*o = 4*y + 23. What is the nearest to 3 in o, -35, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 13) to base 2.\nAnswer: -101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 60*f + 8. Let y(a) = -15*a - 464. Let o be y(-31). Give i(o).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69b - 2454?\nAnswer: -2b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/8*4\/6*(-18)\/(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -684 (b) 17 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61595635 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27575180 divided by 4?\nAnswer: -6893795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + -164?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13133 - -211031121?\nAnswer: 211011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 41 + 0*i**2 - 5 - i**2. Let t be m(0). Suppose 5*n - 270 = -5*z, 162 = -3*z + 6*z - 3*n. Calculate the highest common factor of t and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i - 2. Let y(l) = 3*l + 1. Let q = -332 - -340. Suppose -11 - 3 = 4*o + 2*s, -s + q = -o. Give o*y(g) - 2*x(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (0 + -5*(1 + (sqrt(1053) + -1)*-4)*-5)**2).\nAnswer: -63273780 + 1350000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12318 = 10*a - 8*a, 2*p - 8212 = 2*a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 5:48 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h + 28. Suppose 4*u = -0*u. Let p be i(u). Suppose 0*z + 7 = z. What is the greatest common divisor of z and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5\/9)\/(-5))\/((-1295)\/(-1554)). Is p smaller than -9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 8*g + 5. Let a be l(7). Let k(f) = -6*f**3 - 2*f**2 + 2*f + 3. Is k(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r - 9. Let f be 44\/6 - (-6)\/(-18). Does 5 divide j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 + 6*s + 2. Let q be (-15 - -5)*(60\/(-200))\/(6\/(-10)). Let g(o) = -4*o**2 + 5*o + 2. Give q*g(v) + 4*d(v).\nAnswer: 4*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:44 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:00 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 45540*b + 45543.\nAnswer: -3*(b - 1)*(b + 15181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 2 + 4 - 8 + 7 as p + q*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 3*l + 14 = -8 - 62 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.978294 kilometers in nanometers?\nAnswer: 6978294000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*m - 2\/5*m**2 + 0 - 2\/5*m**3 = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14882, -16056, -17230?\n\"Answer: -1174*t - 13708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17929 + 717093\/40. Let i = 2111 + -73886\/35. What is the common denominator of i and h?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -2\/78289, -5?\nAnswer: -2\/78289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2*(-12)\/(-10). Let x = 404 + -404. Sort z, 6, x, -1 in increasing order.\nAnswer: -1, x, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2 + 14*u + 5*u**2 - 5 - 20 + 16*u.\nAnswer: -5*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 9*t = 143. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8449, -8444, -8437, -8428?\nAnswer: -8417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a. Let d be x(6). Suppose u + d = -u. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -310, -1007, -2440, -4873?\nAnswer: -8570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 182*k**2 + 58.\nAnswer: -182*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j - 2 = 2, 0 = 4*b + 2*j - 20. Suppose 60 = b*g - 0*g. What is the remainder when 42 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322744707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and 109.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70037206769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.2, 99, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 0.06, 760952\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -4 + 2 + 12 + (6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 2. Let p be h(-3). Let c(g) = 30*g. Let z be c(1). Calculate the highest common factor of p and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -21*x**2 - 15*x - 15. Let i = 0 - 2. Let l(b) = -3*b**2 - 2*b - 2. Determine i*a(q) + 15*l(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -8*f + 3*f. Let y = -4 - f. Solve -t + 3*t = -y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d + 5. Let b(h) = -12*h**2 + 11*h**2 + 14*h**2 - 4. Let k(m) = -3*m**2 + 1. What is d*b(w) - 9*k(w)?\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20266 (base 7) to base 14.\nAnswer: -1b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 - 3 = 0. Let c(b) = p*b + 0*b + 0*b + 3*b. Let d(w) = w**2. Determine c(d(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/(-62))\/(6\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812862154 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2197 and -476316.\nAnswer: -474119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12. What is the first derivative of -4*q**2 + 3 - 4 + q**2 + 0*q**p wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 26*a - 16. Give y(20).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - b**3 - 5)*(0 + 2 - 1) - 35 - 78 - 2125*b**3 - 28 + 141.\nAnswer: -2126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-2) - 2)*(-4)\/(-5). Suppose -q + 7 = 4*m - 7, 4*m - b*q = 20. Solve 3*o + 8 = 4*g - 1, 15 = -5*o - m*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8479 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13202 + -1?\nAnswer: -13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + l + 22 = -10*l + 15*l, -i - 1 = -l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1160 - -1178. Solve x*r = 5*r + 65 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1200, -4, -215, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (843*o**2 - 364324 - 15592*o**2 + 364324)*(-2 + 2*o**2 + 2) in the form v*o + g*o**2 + b*o**4 + x + h*o**3 and give b.\nAnswer: -29498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 + 24*p + 22. Let n be i(8). Let d = n + -186. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005964 to seven decimal places.\nAnswer: 0.0000596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/(-112)*12\/(-14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -688.\nAnswer: 11\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -1. What is the third derivative of -3*c**4 + c - c + 0*c**2 + z*c**2 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102904270 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 3*u**2 - 4*u + 5. Let z = 5 - 10. Let b(y) = -7*y**2 - 5*y + 7*y**2 + 21*y**3 - 17*y**3 + 0 + 6 - 3*y**2. What is z*t(c) + 4*b(c)?\nAnswer: c**3 + 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/9 - -4 - (-10)\/3. Let q(o) = -3*o - 1. Let w be q(-1). Solve w*m = -2 + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1986282 and -58\/3.\nAnswer: 1986282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13628763 is divided by 2628?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pee when three letters picked without replacement from eepepeeepeeeee?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*t**2 + 92*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8906798.\nAnswer: 2, 4453399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 + 162. Let t(m) = m**3 + 16*m**2 + 18*m - 29. Does 4 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + 2.4. Let b = -15 - -15. Let h = -0.2 - 0. What is the nearest to b in a, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233240 + -4?\nAnswer: -233244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 - 14*q + 240 = 0. Calculate q.\nAnswer: -15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6*(7 + (-135)\/20). What is the second smallest value in 0.2, -0.0691, y?\nAnswer: -0.0691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**7\/840 + 5*t**4 + 36*t. Let q(i) be the third derivative of b(i). Let j(h) = 7*h**2. What is j(q(g))?\nAnswer: 63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -11 + 5\/2*m**2 - 3*m. Calculate the remainder when t(10) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05086104736274 - 22.\nAnswer: -22.05086104736274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38412560 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3\/7 + 334*y**2\/7 + 4350*y\/7 + 10098\/7 = 0.\nAnswer: -153, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.1486 + -0.1486. What is the closest to -3 in w, 2, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:30 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) - 5*((sqrt(208) - sqrt(13)) + sqrt(13))).\nAnswer: -19*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1680 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = q - 6, -3*i - 2*i - 3*q + 15 = 0. Find the second derivative of 3*f**3 + 7*f - 3*f - f**i wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 166128, 166109, 166090, 166071, 166052?\n\"Answer: -19*v + 166147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 13 + 4 + 3*f + 30*f**2 + 29*f**2 - 57*f**2. Let a(o) = 3*o**2 + 3*o + 25. Suppose 3*p = c - 12, -6*p + 5*c - 10 = -p. What is p*a(u) + 7*i(u)?\nAnswer: -u**2 - u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49641911?\nAnswer: 11, 4512901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3 + 2 - (-136)\/(-28)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1. Let s(h) = h**3 - 3*h**2 - 5*h - 6. Let f be s(0). Let r(q) = -2*q - 1. Calculate f*i(g) - r(g).\nAnswer: 2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -162. Let b = -251\/4 + c. Factor 1\/4*k - 1\/4*k**3 - b*k**2 + 1\/4.\nAnswer: -(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-7)*j)*j*j)**(-44)\/(j**(-2\/23)*j**(-16)) assuming j is positive.\nAnswer: j**(-8738\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9962 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 6355, 21339, 50511, 98599, 170331, 270435?\nAnswer: 403639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 147. Let g be 699\/(-15) + (-1296)\/540. Is g smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4307 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*s - 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16565*k**4*r + 10*k**4 + k**3*r - k**2*r + 2*k**2 - 217*k*r - 5*r - 72 wrt k?\nAnswer: 397560*k*r + 240*k + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10 = 3*b - x, 0 = -x + 4. Let i(u) = 2 + u**3 + 127*u - 3*u**b + 2 - 132*u. Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/33 and -7\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237884 is divided by 3824.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -41. Let y = -16 + q. Let h(d) = -5*d**3 - 1. Let n be h(-1). Solve 3 = n*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.2772 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*4\/(-8)*2\/9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 102 = 20*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 4*k + 5*k)*(6 + 5989*k + 5 - 10 - 1) to a*k**2 + d*k + y and give a.\nAnswer: -11978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 169, 164, 153, 136, 113?\n\"Answer: -3*g**2 + 4*g + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 + 9. Let n = -10\/29 - -88\/87. Let z = 4 - 8. Which is the third biggest value? (a) z (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683885?\nAnswer: 5, 136777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -0.4, 0.5, 1 in increasing order.\nAnswer: -0.4, 0.5, 1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9*-3)\/(-25*(-13)\/1170)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 52, 66?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*54\/(-36)*2. Let y(v) = 113*v**2 - 3*v + 2. Give y(q).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + c - 61. Give s(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1684*r**3 + r**2 + 6*r - 14. Let p be q(2). What is p rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-165))\/3*155\/(-2728)*-22.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 264.77 and 2146.\nAnswer: 2410.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 7545 = 40*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 66 + -680 + 637?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 6013080274.012?\nAnswer: -6013080274.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*1\/(-5) + (1 - 217\/49)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1128*f*g**4 + 6*f*g**3 + 233*f - 6347 wrt g?\nAnswer: -4512*f*g**3 + 18*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376253, -752501, -1128747, -1504991, -1881233, -2257473?\nAnswer: -2633711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, x: 2}. What is prob of picking 1 x and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 943 - 473. Let i = -1427\/3 + c. Find the common denominator of -73\/9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 52, 72, 92, 112?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-8)\/5)\/((-2)\/(-10)). Let p be -4 - (-3 - (-1)\/l). Let q = -12 + 16. What is the second biggest value in -5, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -213 in decreasing order.\nAnswer: 4, 3, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*c - 46*c - 23 - 3*c**3 - 3*c**4 + 25 to s*c + m*c**3 + i + b*c**2 + v*c**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186814 is divided by 31129.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 + (-1 - (-11 + 3)) + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 250\/(-30) + 5\/15 - -11. Solve -v*h + 21 = 3*q, -h = -3*q - 6*h + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - w - 2. Let n be y(1). Suppose -513 = -3*s + 33. Suppose -334 = -n*g + s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54291?\nAnswer: 3, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c - 5. Let k(v) = 197. Let a(p) = 276. Let f(q) = -5*a(q) + 7*k(q). Calculate -6*f(m) + h(m).\nAnswer: 11*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14252383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**4\/6 + 4*g**3\/3 + g**2 + 18*g. Let q be u(4). Calculate the greatest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1176*z**3 - 27*z - 1005. Let w(d) = -168*d**3 + 4*d + 143. Let n(v) = 27*w(v) + 4*x(v). Differentiate n(j) wrt j.\nAnswer: 504*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 1 - 3)*(2*y + 5*y - 2*y)*(10 + 9*y - 10 + 2*y - y + 0*y + (0 + 1 + 1)*(-5*y + 2*y + 2*y) + 3 + 2*y - 3) as c + g*y**2 + o*y and give g.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(30) - sqrt(120)\/sqrt(4)) - (sqrt(3000) + sqrt(3000)*-2 + sqrt(3000)))\/(5*-6*sqrt(12)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 2*j - 81 - 69.\nAnswer: -2*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2033320121 (base 4) to base 8\nAnswer: 2177031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o**2 - 3*o - 4. Let w be m(-2). Suppose 0 = 4*g - 5*b - 5, g = w*g + 4*b - 17. Put 4, g, -2 in increasing order.\nAnswer: -2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w. Let g = 0 - 1. Let k(j) be the third derivative of -j**3\/6 - 32832*j**2. Give g*i(f) - 2*k(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**5 + m**5 + m**5)*(1707 - 861 - 863).\nAnswer: -85*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167278 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -415 - -413.45. Let c = -51 - -53.1. Let v = a + c. What is v rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19473.77cm to micrometers.\nAnswer: 194737700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3298401 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/12 - 5*f**3\/6 - f**2 - 4*f + 2. Let q(g) be the first derivative of l(g). Calculate q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hudu when four letters picked without replacement from rdccharhaauuuhaur?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2212 = 2*v + 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 13*l**3 + 268*l**2\/3 - 748*l + 1936\/3.\nAnswer: (l - 4)*(l - 1)*(l + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)\/(h\/h**(-4)) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s - 2 - 7 + 5 + 4.\nAnswer: -79*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -5)\/(2 - 1). What is the common denominator of (-5880)\/(-8800) + ((-2)\/22)\/(1\/(-2)) and ((-134)\/(-36))\/(q\/3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/120 - 11*y**5\/60 + 2*y**4\/3 + y**3\/2 + 406*y**2 + 2. Calculate s(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*f + 14, 5*f - d - 4*d - 10 = 0. Let o be f\/1 - 32\/(-18). Put -4, o, 3 in descending order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-464)\/(-56) - 8)*(-2 + 23). Solve 19 = -5*i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -25*n + 91. Let g(p) = 2*p**2 - 40*p. Determine g(c(m)).\nAnswer: 1250*m**2 - 8100*m + 12922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 26*i - 53. Let d = 3072 + -3096. Calculate j(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**3 + 18*q**2 - 2*q**2 + 3*q**3 + 12*q + q**3.\nAnswer: 4*q*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypzpzyyysyyyacyypy. What is prob of picking 1 z and 1 a?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 166*s**3\/3 + 56*s**2 + 2*s - 111. Find the second derivative of g(i) wrt i.\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5\/2 - 18*a**4 + 3*a**3\/2 + 18*a**2 = 0.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Suppose m = -2*g + 4*g. Solve z = g - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 6*w - 3*g = 973, -3883 = -4*w + 3*g. List the prime factors of w.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 18c93?\nAnswer: -18c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 4*s + 5, 3*s + 4 = -c - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6 - 8) + (-19 - -16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (10 + -300)*18\/(-5). Differentiate 12*b**4 - 1048*b**3 - 30 + v*b**3 wrt b.\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 175?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*k + 55 = 5*k, 0 = 5*k + 5. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/4 - 129*a**3\/4 + 200*a**2 + 1629*a + 2196 = 0.\nAnswer: -3, -2, 12, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 3*k = 60. Suppose -k + 8 = u. Let t(l) = l + 1. Let n(g) = -g**2 + 2*g + 3. Give u*n(i) + 5*t(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*z**2 - 385 + 385 as d + m*z**2 + y*z and give m.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*3\/(-85)*10\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20964 plus 5400.61083?\nAnswer: 26364.61083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*h - 115 + 115 - h**2)*(0*h + 3*h - 2*h) to u*h + t*h**2 + j + y*h**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 15 - (3 - -1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 5}. Give prob of picking 1 n and 2 d.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n + 2*v + 2, 4*n = 4*v. Let h be 9 + -8 + 4\/n. Sort -3, h, 3 in descending order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 2 (c) -9 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clkculxccul. Give prob of picking 2 c and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10997, 10996, 10993, 10988?\n\"Answer: -n**2 + 2*n + 10996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 278 divided by 2\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*a - 10135 = -227*a - 1381 - 240. What is the remainder when ((-10)\/6)\/((-1)\/18) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -2*a + 3*g, -5*a - 198 = 4*g + 327. Let h = 136 + a. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14482559, -28965131, -43447703, -57930275, -72412847?\n\"Answer: -14482572*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -34, -35?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 11}. What is prob of sequence sas?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 188*t**3 - 164*t**2 + 908*t - 552.\nAnswer: -4*(t - 1)**2*(t + 3)*(t + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)**(-1\/9)\/(m**(-1\/3)*m)**(-36))\/(m**1\/(m\/((m**(2\/9)*m)\/m)))**(-24\/5) assuming m is positive.\nAnswer: m**(1123\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 78*f + 2. Let i(x) = -x**3 + 3*x**2 + 4*x + 1. Let v be i(4). Does 19 divide p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533857.4 litres in millilitres?\nAnswer: 533857400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**3 - 5\/12*w**2 + 1\/3 + 1\/3*w = 0. Calculate w.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128197 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7704668\/3)\/(1\/(-9)) - (-8)\/2. Round v to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103301.2 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - 2*n**2 + 2*n + 2. Let a be d(4). Suppose 4*t - 473 = 3*x, 0*t - 3*t + a = 5*x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -21. Suppose 5*k - s*k = 8. Let v = 5 + k. Solve 4*a = v*q - 3, 4*q - 3 = -2*a + q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 5*l, 8*l = -4*r + 3*l + 26. Solve -3*c + 11 = -2*c - r*k, -4 = 4*c - 4*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 + 12 = 3*l, 5*t = -5*l + 25. Let i(h) = -h. Let f(v) = 3*v - 1. Let r(u) = l*i(u) + f(u). Let s = -4 + 5. Give r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 35 = 0. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 + -2 + 3) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 31*r**2. Let f(q) be the second derivative of -q**3\/2 - 19*q. Determine g(f(x)).\nAnswer: 279*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*u - u. Let o be 3 - u\/((-14)\/(-4)). Solve -2*m - 5*c + 16 = -0*c, -4*m - o*c = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341786.32 rounded to the nearest one hundred?\nAnswer: -341800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (-1*sqrt(27))**2 - (sqrt(3) + (sqrt(108)\/sqrt(3))\/sqrt(12)).\nAnswer: -sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 137715 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(2\/5))**(-2\/43)\/(u**(1\/2)*u)**(-11) assuming u is positive.\nAnswer: u**(7063\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/13)*o*o**1 assuming o is positive.\nAnswer: o**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*((-936)\/(-78))\/((-6)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 3.2877 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*w = 1015, -2*s + 3*w + 289 = -117. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1060\/75 + (-6)\/45. Suppose y = j + 13. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 32*f + 3. Let x be l(-8). Solve -3*q - k = -0 + 8, 0 = q - x*k + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Solve 3*l - 7 = 5*m, m + 5*l + 5 = -q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 18, i: 1}. What is prob of sequence aaii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**3 + 2*u**3 + u**3)*(135 + 79*u - 37*u - 41*u) to the form g + y*u**4 + b*u**3 + q*u**2 + z*u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 649422349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, n: 2, d: 3, a: 7, h: 5}. What is prob of sequence hhna?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 4. Suppose 2*v = -2*v - 4. Sort v, h, 4 in ascending order.\nAnswer: v, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 35. Let f be ((-285)\/j)\/1 - (-2)\/(-8). Let g be 2\/f*(3 + -6). What is the third biggest value in 6\/7, g, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*x + 3*s + 83, 2*x = s + 32. Let a = 58 - 55. Let i(u) = u**2 - 4*u - 7. Let j be i(6). Solve 4*q - a*r - 13 = 8, -j*r = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.6. Let k = 1.5 + -2.4. Let u = y - k. Which is the closest to -2\/7? (a) -1 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -0.9. Which is the biggest value? (a) -5 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/19044 and -67\/3588.\nAnswer: 247572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2, 5*u = 3*v - 8*v. Let m(o) = -o**2 - o**3 + o - o - o. Let x(q) = -7*q**3 - 3*q**2 - 5*q - 1. Give u*x(g) - 5*m(g).\nAnswer: -2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + -22 + 15)*4\/(-8). Put 274, -1\/4, b in increasing order.\nAnswer: b, -1\/4, 274","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 - 3*q - 4. Let u = -26 + 28. What is the remainder when c(-6) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-284)\/(-4615))\/((-7)\/(-91))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.7 + -0.3. Let c = 2\/39597 + -35198\/13199. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:49 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 22*v - 8 = 0. Let f(z) = -6*z + 21. Let m(n) = n - 4. Let b(g) = 2*f(g) + 11*m(g). Let j be b(-1). Sort v, 1, j in descending order.\nAnswer: v, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124 or -408999\/2?\nAnswer: -408999\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53847961*o**4 + 539539377 wrt o?\nAnswer: -215391844*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-2)\/(-2)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u - 17*u + 3*u)*(3 - 121*u - 2 + 110*u) to w + c*u + m*u**2 and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 6)*(-1)\/18. Let a be 13\/(936\/(-128)) - (-4)\/(-18). Let x be ((-254)\/(-381))\/((8\/1)\/a). What is the third smallest value in 8, p, x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**8\/420 - z**6\/180 + 2*z**3\/3 + 9. Let r(v) be the third derivative of m(v). Find the third derivative of r(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4325 - 1916. Calculate the highest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l - 10. Let s be o(7). Let u(c) be the first derivative of -3\/2*c**s + 2*c**3 + 1\/2*c**6 - 3*c + 7 - 3\/5*c**5 + 3\/2*c**2. Factor u(q).\nAnswer: 3*(q - 1)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2099275)\/(-25) - (-42)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 - 99.4207.\nAnswer: -72.4207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 11*g**2 + 18*g + 5. Let u be k(6). Let s = u - 147. Solve 0 = s*q - 3 - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 40, 64?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 430*n - 575*n**2 - 208*n + 19 - 2*n**3 - 687*n**2 - 3*n**4 wrt n.\nAnswer: -36*n**2 - 12*n - 2524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2253668 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 5?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + 216\/45. Let f(y) = y**2 - 2*y - 1. What is the units digit of f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -0.22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + 80*j**2 - 51*j**2 - 22*j**2 - 4*j + 4*j.\nAnswer: -7*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - y**2 - 121*y + 126*y + y**2 as i + g*y + w*y**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l + 21. Let j = l + 10. Is 0 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**3 - 2*q**2 + 1. Let r be v(-1). Let o(g) = -9*g - 5. Let x be o(r). Suppose 5*d + 13 = x. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:51 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 6232 = 2426. What are the prime factors of r?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/6)\/((-4)\/(-6)). What is the second derivative of -3*c**2 - 5*c - 4*c + j*c**2 + 3*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 4. Suppose 5 = -k - 1. Calculate the remainder when 4 is divided by c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -225. Let r = g + 247. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 6*t - 9. Let m be r(4). Let w be (4 - 2)*m - 250. Let p be 3\/8 - w\/96. What is the second biggest value in p, 4, -3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*g. Let r be 0 - (0\/3 - g). Let v = 1 - 2. Sort r, 0, v in increasing order.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3952068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/3255 and -31\/171.\nAnswer: 185535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(93984\/(-3720) + (-6)\/(-744)*8).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/7 + 214736*q**4\/7 - 5767163460*q**3\/7 + 24689702752*q**2 - 23865852934*q = 0. What is q?\nAnswer: 0, 1, 29, 53669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-5)\/2)\/((108\/(-1296))\/(2\/(-10))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6201343 + -42?\nAnswer: -6201405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -162*n**3 + 27*n. Let z(f) be the third derivative of -23*f**6\/120 + f**4\/6 - 396*f**2. Give 4*o(d) - 27*z(d).\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**2 + 4*o**2 + 3*o**2 + (4*o - o - 5*o)*(-2*o - o - 2*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 1. Let m(r) = -4*r**3 + 3. Let b = -47 + 34. Let j = 12 + b. Give j*m(g) + 3*i(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h - 16, -3*i = -4*h - 148. Let c = i + -30. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -930, -6750, -22348, -52614, -102438, -176710, -280320, -418158?\n\"Answer: -815*d**3 + d**2 - 118*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 251*p - 247*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**2*r*w**2 + 2*k**2*r*w - 200*k**2*r - 4*k*r + 464*w with respect to w.\nAnswer: 16*k**2*r*w + 2*k**2*r + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 24*m**3 - 456*m**2 - 3*m + 51. Let q be w(19). Let a(k) be the third derivative of k**6\/120 + k**5\/12 - 7*k**4\/24 - 2*k**3\/3 + k**2. Calculate a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19065990 a multiple of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331 + 122?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.29437585 to 2 decimal places.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46902344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 285*f - 146. Calculate y(98).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -21*q**4\/16 + 10*q**3 - 18*q**2 - 1364. Suppose k(m) = 0. What is m?\nAnswer: 0, 12\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + o**3 + 6*o - o + o**4 - 6*o + 0*o**4 to c*o + f + y*o**2 + s*o**3 + v*o**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 8}. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 7*t**2 + t - 2. Let d be m(7). Suppose -25 = -d*p - 10. Suppose -p*b = -0*v + 2*v - 71, 3*v - 12 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 29*y - 2*q - 10 = 0, 2*y - 4*q = 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3384 + 4821. Let w = a + 3. Suppose 3*q - w = q. What is q rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z - 1. Let r(v) = -5*v**3 - 2*v**2 + 2*v + 3. Let i(b) = 2*d(b) + r(b). Let t be (18\/(-24))\/(12\/(-16)). What is i(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-529)\/(-140) - 32\/(-56) and -55\/114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -904 - (-2)\/(4\/(-10)). Let a = z + 2176. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -183. Solve 9 = -0*c + 4*c + 3*v, -4*v = -5*c - i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-70)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u**5\/5 + 3226*u**4\/5 + 15312*u**3 - 530160*u**2 + 3277024*u\/5 + 3384864\/5 = 0. What is u?\nAnswer: -511, -46, -2\/3, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 2*p**2 + 6*p + 3*p**3 + p to the form b + c*p + u*p**3 + r*p**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Suppose 210 = 4*y + 3*y. Suppose -4*j = -w - 14, 6*j - y = j - 5*w. Solve c*l + 32 = -j*z, -2*l = -3*z + 2*z + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215\/28 + 52\/7. What is the third smallest value in k, 0.06, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 2*q**2 - 3*q. Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(475) - 2*sqrt(475))**2 + 1.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {j: 2, d: 2, h: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1793 + 1900. Calculate the remainder when 3742 is divided by h.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {a: 2, j: 4, u: 2, y: 1, x: 2, t: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552560799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523919, -523966, -524013?\nAnswer: -524060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*l = -8, -115*d + l + 7 = 116*d - 227*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:33 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26885*p - 27046*p + 8372 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - -3 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*y - 101 + 11. Suppose -5*b + b = 16, y*n + 3*b = 1752. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/294 and 47\/21.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 155970877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - s**2)*(-3409 + 5123 + 173 - 11991 - 10336).\nAnswer: -20440*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*n - t, 2*n - 8934*t + 8938*t - 12 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 35488827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287 - 290. Which is the third smallest value? (a) g (b) -1\/4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*p + 2. Suppose p*v - z - 95 = 0, 0*v - 3*v - 2*z + 80 = 0. Suppose 0 = -o - 3 + 15. What is the highest common divisor of o and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.05195 months?\nAnswer: 0.5876625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 211, 306, 399, 490?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -157. Suppose 3*r - 1648 = 2*s - 6*s, 4*r = -u*s + 814. What are the prime factors of s?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**5\/10 - t**2\/2 + t - 4. Let j(g) be the first derivative of r(g). What is the derivative of j(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558487037?\nAnswer: 558487037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 9*x = 8. Determine j, given that -11*j**2 - 8*j**x + 2*j**3 + 21*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose -z*u = 3 - 7. Suppose 0 = -0*a - u*a + 14. Calculate the remainder when 25 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2832766 divided by 823.\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 105.\nAnswer: 179\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 j when three letters picked without replacement from gjzzjqccczcogjj?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*x - 9 = -x, 0 = -4*j - 5*x + 3. What is the third derivative of 12*b**j - 9*b**2 + 0*b**4 - 2*b**4 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 2*o - 54. What is j(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:04 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 - 103849509*w\/5 - 10784720519541081\/10.\nAnswer: -(w + 103849509)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s. Let f(j) = -2*j - 809. Calculate f(d(b)).\nAnswer: -16*b - 809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*c - 1322 + 1324, c = -3*k - 32 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 4*l + 2. Let k be h(-2). Suppose -k*y + 0*y = -68. Let t = y - 23. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**3 - 2*y**2 - y. Let x(q) = -q**2 - 8*q - 2. Let v be x(-7). Suppose -1 = -4*p + v*p. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1260 and 53\/2891.\nAnswer: 520380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = -20*p + 126. Put 1, 13, p, 3 in decreasing order.\nAnswer: 13, 3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325852?\nAnswer: 2, 81463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(176)*-1 - (-4 + sqrt(176) + -5)) + -3)**2*-5.\nAnswer: -31860 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 47, 108, 193, 302, 435, 592?\n\"Answer: 12*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48484524?\nAnswer: 2, 3, 11, 367307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 17*b**2 - 16*b + 15. What is the remainder when d(16) is divided by 2\/(-7) + 116\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-484)\/224 + (-3)\/24. What is the second smallest value in -3\/4, 0.6, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/21 + 31\/(-7). Let k(p) = 27*p**2 + 6*p + 1. Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 2*n - 2*n**3 + n**3 - 3*n**3 + 0*n**3 + (-n + 2 - 2)*(1 - 1 - n**2) + (-1 + 4*n**3 + 1)*(8 + 25 - 14) as b*n**3 + m*n + x*n**2 + j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 2503\nAnswer: 2252.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099685 days in hours?\nAnswer: 2.39244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 5. Let s be (-12)\/2*(-8)\/3. Let q = -5 + s. Calculate the smallest common multiple of i and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, 1, -2, -0.4, -6.61, -0.2, 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 54*q**2 + 722*q + 74. Determine j(29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(31*r - 1579*r - 1538*r) to j + q*r and give q.\nAnswer: -9258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-105)*-6 + (-80)\/(-14). Factor 6*q**2 - 9 - 30*q - 18*q**2 - 24*q**2 - d*q**4 + 3*q**4 - 18*q**3.\nAnswer: -3*(q + 1)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 232? (a) -1089 (b) -0.4 (c) -2\/15 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:45 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/3 - 100*w**2\/3 + 115*w.\nAnswer: -5*w*(w - 3)*(w + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -28, -21, -14, -7, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 1\/7, 12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {e: 5, h: 3, j: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052.72947 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953*h**2 - 2935*h**2 + 972*h**2 + 980*h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/68493271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5750, -11466, -17180, -22892, -28602?\n\"Answer: l**2 - 5719*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - (1 - (3 + -2)). Let x = -1 - z. What is the remainder when 26 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*y - 20*y + 20*y**3 + (-y**2 + y**2 - 3*y**2)*(2*y - y - 2*y)*(3 - 2 - 2)*(4 - 2 - 3).\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 5*c - 4*c)*(95*c**2 - 142*c**2 + 3*c + 36*c**2).\nAnswer: 11*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -53 - (0 - 2) - -2. Let c = 16158 - 290941\/18. Find the common denominator of (2\/(-4))\/((-9)\/s) and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.1. Let n = -37\/129 + -2\/43. Which is the closest to y? (a) -4\/3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-2 - -197) + -1). Let u = -42 - f. Suppose -4 = -4*q, 4*m + q - 2*q = u. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 3202, -3 in descending order.\nAnswer: 3202, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11061 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/2, -2, 1\/22 in ascending order.\nAnswer: -2, 1\/22, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5)*(-77110)\/5608?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(882) + (sqrt(882) - (-2*sqrt(882))**2) + (0 + sqrt(882))**2*1.\nAnswer: -2649 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 496*a - 498*a + 84. Let d be (a\/(-49))\/((-2)\/84). Let b be -3*1*-1*3. Calculate the highest common factor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -12254?\nAnswer: -12246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 29*q - 4. Let o be z(6). Suppose o*k - 3*k + 189 = -5*c, k = 2*c + 201. List the prime factors of k.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/4 - 207*i\/2 - 7905\/4 = 0. What is i?\nAnswer: -17, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**3 + 4*u**2 - 4*u - 4. Let r(a) = -27*a**3 - 9*a**2 + 9*a + 9. What is 4*r(l) + 9*w(l)?\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*r + 1 = 0, x = -3*r - 2*r + 7. Suppose -2*o - 5*z = -11, -o + 5*z = 2*z. Let i = 1 + o. Solve -x*c - i = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**2 - 15*q + 15. Let o(z) = -3*z**2 - 7*z + 8. Let t(j) = -2*k(j) + 5*o(j). Let x be t(-7). Put 2, 3, x in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkkkvkkkyyvkkv. What is prob of picking 1 v and 1 y?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 238*r. Let f(j) = -83*j**2. What is f(m(t))?\nAnswer: -4701452*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b + 36 = -4*v, 0 = -3*b - 4*v - 4. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5606 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -22*p + 390 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222566.96 + 12.68?\nAnswer: 1222579.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**4)\/p*p)\/((p\/(p**(1\/2)\/p))\/p))\/(p*p**(2\/7)*p**(1\/7)\/p) assuming p is positive.\nAnswer: p**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59420946, 59420952, 59420958, 59420964, 59420970?\n\"Answer: 6*t + 59420940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 144*c**2 - 142*c - 167. Determine v(143).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001000 (base 2) in base 10?\nAnswer: -776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1689, 2461, 3753, 5571, 7921, 10809, 14241?\nAnswer: 18223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11176 - -11298. Let d = -6 + 4. Calculate the smallest common multiple of l and -2 - (-2 + d + -2).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 8 + 5*j - 6*j + 8*j. What is a(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 888.375l?\nAnswer: 888375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28501 greater than 997574\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i**2 + 16*i**2 - 58*i**2 + i - i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52114 + -1010?\nAnswer: 51104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, t: 4, q: 1, r: 2, k: 3}. What is prob of sequence krk?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 - 0.1. Let d = -3 - w. Which is the closest to 1? (a) d (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 18*b**2 + 23*b - 89. Is 30 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 1\/12*q**5 + 237*q**2 + 0*q**3 + 1\/24*q**6 - 5\/12*q**4 + 2 + 0*q. Factor l(d).\nAnswer: 5*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u + u + 2*u)*(-6*u - 11*u - 7*u).\nAnswer: -336*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1 + -2)\/1. Suppose 4*s + 0*q - 198 = -m*q, 54 = s - 4*q. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124613211*f**2 - f + 10317492 wrt f.\nAnswer: -249226422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82421754 a multiple of 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7333, 58709, 198165, 469741, 917477, 1585413, 2517589, 3758045?\n\"Answer: 7340*i**3 - 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2 - 1. Let f(x) = -x + 1. Let u(c) = -2*c + 2. Let d(z) = h*f(z) + u(z). What is the remainder when 4 is divided by d(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117490701 a multiple of 3918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let m(g) = 27*g + 24*g - 45*g. Calculate 6*m(f) + 34*p(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 + 715*a**3 + 222585*a**2 + 10062225*a + 126146160 = 0. Calculate a.\nAnswer: -112, -27, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -543 or -5982\/11?\nAnswer: -5982\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86\/344)\/((-5)\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.155.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -46. Let o = u + -22. Calculate the greatest common factor of 50 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13288771 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o**2 + 4. Let y(s) = s**2. Calculate h(q) - 24*y(q).\nAnswer: 4*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253200763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3576*y = 3568*y + 26520. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 590*b**5 + (-3*b**3 - 2*b**3 + 2*b**3)*(-b**2 - 2*b**2 + 2*b**2) + 2*b**5 - 4*b**5 + 3*b**5 + 0 - b**5 + 0.\nAnswer: 593*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0 + 20\/3*p**3 + 3*p**2 + 1\/24*p**4 + 0*p. Does 20 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 2, 119 in decreasing order.\nAnswer: 119, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 6 + 48 - 36 - 2*u**3.\nAnswer: -2*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 905 + -388. Suppose 2*l - s = -2*t - t, -l + 5 = 0. Let m = t - 21. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 1892 - 546 + 2438.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4955 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:36 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:05 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/798 and 143\/445512.\nAnswer: 3118584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 0.2 (b) 5 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89153 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 13*o - 16. Suppose 3*d = -3*g + 48, 5*d + 2*g = 42 + 23. Calculate the lowest common multiple of (-8)\/(-6) - 4\/(-6) and x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (78\/27)\/2) + 42*(-132)\/(-2772).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from vozuq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -4, 2916, 1, 1\/2, 1\/5, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333917539*b - 74149313 wrt b.\nAnswer: 333917539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 265*b**6\/6 - b**4\/24 - b**3\/6 - 8*b**2. Let y be r(-1). What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Suppose -3*s = y, p*s - 3*s - 9 = -2*y. Suppose -4*n = 4, 5*n + 8 + y = 3*q. Solve q = -m - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40142, -40100, -40042, -39968, -39878, -39772?\n\"Answer: 8*x**2 + 18*x - 40168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 10*k**2 - 664*k + 664*k)*(k - 4*k - k) + 1 - 1 - k**3.\nAnswer: 39*k**3 + 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 924*j - 932. Give s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(8\/5)\/(b**(1\/3)\/(b*b**(-5))) assuming b is positive.\nAnswer: b**(-277\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113ef0d (base 16) to base 6.\nAnswer: 1443332205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 + 3*p - 6. Let t be v(-5). Suppose -t*q + 50 = -142. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-280) - 8\/(-84)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858030 less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/6 - 6*t**5 - 739*t**4\/4 + 1967*t. What is the third derivative of u(j) wrt j?\nAnswer: -120*j - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 13) to base 7.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 5) to base 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(4\/(-8))\/1. What is the third smallest value in 3, o, 2\/15, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1637\/192 - 1752901\/206016. What is the common denominator of -40 and u?\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 6*r + 2. Suppose -258*q - 104 = -266*q. What is the remainder when u(-5) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1150324 hours to nanoseconds.\nAnswer: 414116640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*m + 26 = -2*m, -5*l - 32 = 4*m. What is the third smallest value in 7, -2, l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102048788.\nAnswer: 2, 25512197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 205398 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 31520?\nAnswer: 346720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 17*z**4\/24 + 113*z**3\/6 - 1631*z**2. Give m(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 t when three letters picked without replacement from {l: 1, f: 1, t: 2, s: 3, j: 1, i: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:43 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 13. Let h(c) = c. Let r(b) = 2*h(b) - j(b). Is r(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -322916495.\nAnswer: -322916495.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -185, -370, -555, -740, -925?\n\"Answer: -185*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o**2 - 3*o)*(2*o**2 - o + o + (-4*o - 11*o + 4*o)*(4*o - 3*o + o)).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 161?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*z**4 - 2*z**2 - 86.\nAnswer: -124*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 614. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g*g\/(g\/(g**(-4)\/g)*g))**(-37) assuming g is positive.\nAnswer: g**(518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/2 + 45*i**4\/2 + 3*i**3 - 45*i**2 - 3*i\/2 + 45\/2 = 0. What is i?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 55 = 25. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 7. Suppose 17*o - 378 = 8*o. Let w be 24\/o*(-7)\/(-2). Solve -w = s - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**4 + 15*s**4 + 13*s**4)*(177 - 1943 - 116 + 77 - 876) as p*s + g*s**2 + f + x*s**3 + y*s**4 and give y.\nAnswer: -83111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7163a (base 15) in base 7?\nAnswer: 3024046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 5. Let n be s(-5). Suppose -112 = w + 4*v, 448 = -4*w + 4*v - 5*v. Let j = 564\/5 + w. Which is the closest to n? (a) -1\/4 (b) j (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, -202, 44, 6, 1.\nAnswer: -202, 1, 2, 3, 5, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/20 - 29*t**4\/12 + 5*t**3 - 26*t**2 - 24*t. Let v be c(28). Solve -v*o = 4*i + 4, -4 = 3*o + 2*o + 4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74939 is divided by 901.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7070, -14167, -21264?\nAnswer: -28361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5060b76 + -4?\nAnswer: 5060b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 <= 122849\/1090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -0.4 (c) 5\/6 (d) 0.04937\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4 - 244*(-4)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + -30?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3008101, 3008106, 3008121, 3008152, 3008205?\nAnswer: 3008286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5\/13 + 15472*o**4\/13 - 29829746*o**3\/13 - 360607444*o**2\/13 + 62357096*o - 32324656 = 0.\nAnswer: -14, 1, 3874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1126, -4738, -10758, -19186, -30022, -43266?\n\"Answer: -1204*r**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/15 - d**4\/4 + 2*d. Find the third derivative of o(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.251 + -0.049. Let a = l + 0.9. Round a to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 - 5*x**4\/12 + 11*x**3\/6 + x**2. Let l be f(9). Let v = 2 + l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 + -415. Let v be (f\/(-9))\/4 - 12\/54. Suppose -v = -s - 13. Solve 3*a + 4 = -3*d + 1, -s*a - 3 = 4*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/393 and 85\/5434.\nAnswer: 2135562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -42\/13 (c) 3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 - -5 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 3. Let z(f) = -4*f + 2. Suppose -i = -5*i + 12. Let o(b) = i*r(b) + 4*z(b). Let j = -7 + 11. Give o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 418, 913, 1574, 2383?\n\"Answer: -3*w**3 + 110*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457180160?\nAnswer: 2, 5, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1956526 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (428\/58)\/((-44424)\/(-644148))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from rnrbrrybbrbnn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50919744 and 144.\nAnswer: 152759232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-20 + 18 + 15*(-28)\/(-198)). Calculate the greatest common factor of f and 4323.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394587411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - y**2 + y**2)*(3*y - y**2 - 3*y) - 4*y**4 + 5*y**4 + 8*y**4.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095163 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - m + 5*m - 3*m + 11 + 3*m. Let b(j) = -2*j**2 - 2*j - 6. Let i be -2 - (1 + 0)*5. What is i*b(g) - 4*x(g)?\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - 70132\/(-12) - (-2)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130766 is divided by 65222.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 378642721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k**5\/2 - 2211*k**4\/2 - 373*k**3 + 982*k**2 + 492*k = 0.\nAnswer: -2\/3, 0, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y\/y**(3\/8))\/y)\/y)\/y**(-13))**(-1\/6))**(-1\/35))**(2\/21) assuming y is positive.\nAnswer: y**(31\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g - g)*(-2*g - 5 + 5) + (1 - 1 + 3*g)*(-83 + 83 - 19*g).\nAnswer: -59*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*f + 618*f = 1155*f - 1344 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -811282 (base 16) in base 2?\nAnswer: -100000010001001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.8 + -16.8. Let d be ((-2)\/10)\/((-18)\/15). What is the second smallest value in -1, x, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-2)\/(-80)*5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.9 + -0.9. What is the biggest value in r, -3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2 + 2*k**4 + 760328*k**3 - 487 - 760328*k**3 wrt k.\nAnswer: 8*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 1 - 5) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/888 and (27\/4)\/((-23)\/(-6) + -2).\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 50. Let n be (2\/(-5))\/(f\/15990). Suppose 4*d - 318 - 186 = -2*z, 4*d = -5*z + n. Calculate the greatest common factor of d and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/24 and -133\/1446?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4\/5 - 5723252*i**3\/5 - 4094411618978*i**2\/5 + 11464520797296*i - 40126019099040 = 0.\nAnswer: -1430820, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -99. Suppose 0 = -12*z + 187 - g. Let m(u) = 20*u**2 + u - 1. Calculate the remainder when m(1) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 744, 1142?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(26)\/sqrt(2) + sqrt(208) + 4)**2.\nAnswer: 40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 7*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.71 + -5.71. Sort -4, -2, h, -5 in descending order.\nAnswer: h, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**2 + 187*a + 114. What is n(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 386*b - 1390. What is the tens digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 125818?\nAnswer: 125818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*v, 181 = 4*v + 2*v - x + 153 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1309440 and 21\/27280.\nAnswer: 1309440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14801*v - 1. Let r be s(1). Round r to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145464 and 110298078?\nAnswer: 441192312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:44 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {j: 1, u: 2, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13850531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7000025 + 1.7. What is i rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1627*f + 118768. Calculate o(73).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 118*h + 1452. What is v(18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.99188 - -11. What is j rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + 27\/5. Suppose n + 5 = 5*j - 4, 0 = k*n + 5*j - 15. Is -2 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*k**2*r + 11*k*r + 14*r wrt k.\nAnswer: 246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 45 = -z - z, y = 3*z + 15. Let u = y - 11. What is the third biggest value in -4, -0.3, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755847235?\nAnswer: 5, 11, 13, 1057129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 6*d - 4. Let t be y(-7). Suppose -1 = q + 4, t*q = -2*i + 53. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r\/r**(1\/2)))**(-32)\/(((r**(2\/17)\/r)\/(((r*r*r\/(r**6*r))\/r)\/r))\/((r\/(r*(r\/(r*r**(-1)\/r))\/r))\/((r\/(r\/r**(-4)))\/r))) assuming r is positive.\nAnswer: r**(389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 - 31*u + 33\/20*u**5 + 0*u**4 + 1\/6*u**3 - 15\/2*u**2. Find the second derivative of a(b) wrt b.\nAnswer: 198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -9.\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 8:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209155182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:02 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**7\/21 + g**5\/10 + 4*g. Factor u(t).\nAnswer: -2*t**3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 44 + 184. Suppose -30 = b - 3*b - f, 3*f = 4*b - o. Suppose 0 = -2*z + 14 + b. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -58. Let c be 39\/o + (-2)\/1. Calculate the remainder when (-4)\/(-10) - ((-1265)\/25 + c) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) -2\/15 (b) -1 (c) -0.3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p)*(-6*p + 4*p + 3*p + (-1 + 1 + 2)*(-7*p - 5 + 5)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 5:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*m - 2923 - 8578 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -16 + (-17 + -3 + 11 - 3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-31\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 15.2. Let z = q - 0.2. Let x = 1162.04 - 1162. What is the closest to x in 4\/5, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o + 108. Let x be m(-7). Suppose r - x = 0, 0 = t + r + 61 - 213. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(2) + 2))**2.\nAnswer: 288*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + g + 10. Let i be t(-8). Solve -i*k = -k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*a = a - 1244, -5*y + 4*a + 1549 = 0. Suppose 3*j - b = -5*b + 182, 3*b + y = 5*j. Calculate the least common multiple of 4 and j.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + b, 0*l + 22 = 5*l + 3*b. Let r = l + 1. Let o = r + -1. Solve 4 = d + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8863000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304*b = -2311*b - 483. Is b < -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 174\/18. Suppose -3*r = h*r - 324. Suppose 57 = -26*p + r*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 137 - 77. Suppose 0*j = -4*j - 24. Let l(h) = -7*h - 1. Let q(o) = o. Let s(d) = j*q(d) - l(d). What is s(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d - 612 + 1564 = -483 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 10, 5, 0, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 167*w + 7008. Give f(-75).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87602547*p**2*t**2 + 2*p**2*t - 3*p**2 - 65*p*t - 93*p - 3*t - 13 wrt t?\nAnswer: -175205094*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -405*c + 134070. Determine j(331).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 72.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4103 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*n = -29 + 99, -n = -2*q + 25. Let l = 29 - q. Suppose -z - l = -3*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6305 = 3*f - 8*f. Suppose s - 1079 - f = 0. Suppose -3*o = -5*p + s, p + 4*p - 2330 = 5*o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 7*x - 22. Let d(z) = -2*z + 79. Calculate the remainder when d(12) is divided by x + -2 - (-2)\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*r - 12*r**3 + 2 + 17*r**2 + 28*r - 125*r + 39*r + 27*r in the form o*r + c + k*r**2 + m*r**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b + 946 = -33*b + 132 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 74226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1355?\nAnswer: -5420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 463.185473 * 0.1\nAnswer: 46.3185473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -1\/10*y**5 + 1\/120*y**6 + 0 + 5\/6*y**3 + 0*y + 4*y**2 + 1\/6*y**4. Calculate b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20114\/(-2492) + ((-2)\/28)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 6727035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:09 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ihuulhiihphg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003428 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3917.3 + 4229. Let v = m - 312. What is the third smallest value in 56, -2, v?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3667 - -4038. What is the highest common divisor of 28 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 81. Let g = 1.0000027 - k. Round g to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/5)*m\/(m*m*m*m*m**(2\/3))*m)\/(m**3\/m**8))**(1\/24) assuming m is positive.\nAnswer: m**(53\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 22598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = 2. Let b(d) = -d**2 - 2*d - 20. Let g(l) = -l**2 - 3*l - 40. Let u(h) = 5*b(h) - 3*g(h). What is the least common multiple of u(0) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130479 or 652391\/5?\nAnswer: 652391\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6093 + 6094 + (-1 - -1) + (55 - 1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 8, -200, -5 in ascending order.\nAnswer: -200, -5, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -686?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 47*r**2 - 24*r + 30. Let b(h) = -28*h**2 + 12*h - 14. Let k(d) = 5*b(d) + 3*i(d). Give k(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 120. Let x(k) be the second derivative of k**4\/12 + 9*k. Calculate x(d(a)).\nAnswer: 4*a**4 - 480*a**2 + 14400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/4 - 25*h + 720.\nAnswer: -5*(h - 16)*(h + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 - 8*c**2 - 3*c + 2. Let i(m) = 11*m**3 + 15*m**2 + 7*m - 4. Determine -3*i(f) - 7*n(f).\nAnswer: 2*f**3 + 11*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -0.04\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3, -26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:13 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/36 and 131\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 4*b + 3. Let z = 6 - 5. Let o be (-3)\/(-9)*z*6. What are the prime factors of h(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*a + 4*h - 98, 0 = -a + h + 50. Sort 4, a, -19.\nAnswer: -19, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 3*f + 12 = 3*d, -2*f - 9 = d. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 8, u: 5, d: 4}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and (-4533)\/792 + 120\/55 + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + n**3 + 4*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Suppose -3*f + 7*f - 16 = n. Put -3, -5, f in descending order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 110, 213, 316, 419?\n\"Answer: 103*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3 - 3 + (1 + 3 - 2)*(-o - 2*o + 4*o) - 2 + 2 + o)*(1 - 1 - o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26221271*o**2 + 249360*o + 1.\nAnswer: 52442542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*q + 6 = 0, x - 9 = -3*q + 4. Calculate the common denominator of 285\/x*(-10)\/54 and -35\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 5*u - 4 - 2*u - 2. Determine w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 16*z**2 + 17*z + 5. Let u be y(17). Solve -17 = u*f + k + k, -2*f = 2*k + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 5*q + 18*q. Suppose 109 = q*f - 52. Calculate the highest common factor of 299 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1087 and 168573047.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83315, -166618, -249901, -333152, -416359, -499510, -582593?\n\"Answer: 2*n**3 - 2*n**2 - 83311*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*j - 0 + 2, d = 2*j. Is 8 a factor of ((-42)\/(-4))\/(2\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*w\/w**(-9))\/w*w))\/w)\/w*w**(-8\/5)\/w*w*w*w*w**1*w**(-3\/7))**(-6) assuming w is positive.\nAnswer: w**(2316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 35908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47736 divided by -1404.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - -0.11. What is the second smallest value in z, -0.4, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 182 = 138 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239599339.\nAnswer: 7, 34228477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384728 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c**3 - 7*c**2. Let f(u) = 14*u**3 + 3*u**2. Give 7*f(w) + 3*o(w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/13 (b) 4 (c) -130 (d) 0.5 (e) 620\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*u**2 - 229*a**3 + 120*a**2*u**2 + 2*a*u**2 + 3*a + 8167*u wrt a.\nAnswer: -12*a*u**2 - 1374*a + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3006 + 3051. Let p = 6032853.000035 - 6032898. Let q = p + o. What is q rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/((-18)\/(-4))*3\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -5, -0.08, 3, -4\/5 in descending order.\nAnswer: 3, -0.08, -4\/5, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620711819.\nAnswer: 7, 13, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-238)\/5)\/2 - (-2)\/(-10). What is the remainder when (-8)\/x + (-38)\/(-3) is divided by (-1 - 0) + 18\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*v + 182 = -207*v. Which is the biggest value? (a) 2 (b) 1\/2 (c) 0.3 (d) v (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + (sqrt(704)*1 - sqrt(704)) + 5 + (sqrt(704) + (sqrt(704) - (-2*sqrt(704) + 2)) - sqrt(704)))*-5 + -4 + -5)**2 + -5.\nAnswer: 7680*sqrt(11) + 282171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11100000110011111001111 (base 2) to base 12\nAnswer: 25730bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*b = -49, 3967*l + 8431 = 3971*l + 313*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 52*i = 23*i - 206220. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115.6 - -11474.\nAnswer: 11589.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093799003.\nAnswer: 3, 697933001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58696719 plus 3?\nAnswer: -58696716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 14 + 4 + 7*t**2 - 6*t**2 + 3*t**2 + 12*t. Is 3 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 380\/(-92)) + (-2330488)\/(-204976)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c - 5. Let y = 7 + -12. Let b(k) = 10*k + 0 - 7 - 4 + 2. Let f(a) = 11*a - 10. Let s(j) = -6*b(j) + 5*f(j). Calculate y*s(r) - 4*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 35250 = 83*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 543.\nAnswer: 5\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837*z = -849*z + 46392. Is 3867 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -66986 and -4.4652.\nAnswer: -66990.4652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - u = 9, 4*w + 2*u + 6 = -0*w. Let r(v) = -4*v**2 - 2. Let j(s) = s**2 + 1. Let c(o) = w*r(o) - 4*j(o). Let q(i) = -2*i. Calculate q(c(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 108 = 4*h - h, h = -4*g + 36. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 16*q = 5*x + 11, 0 = 4*x + q + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024486 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/89 + -7\/1068. Which is the closest to -0.1? (a) h (b) 1\/4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 624\/2080 - 1\/20. Which is the smallest value? (a) 252 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2295\/144)\/(-17))\/((-45)\/(-60))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from tdiliiqtdztqziittdiz?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Suppose 0 = -q*g + 2*j + 143, -2*g - 2*g + 115 = -j. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14056*p + 5*p**2 + 14056*p - 4*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313513?\nAnswer: 23, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**3\/5 + 256424*n**2 - 102734352228*n\/5 - 821956875552\/5 = 0.\nAnswer: -8, 160269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/20 + 11*j**4\/4 - j**3\/6 + j**2 - 180*j. What is the second derivative of v(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f)\/(f**(-5)*f))**(8\/3)*(f\/(f*f*f**(1\/4)*f*f))**(16\/9)\/(f**3\/((f**4*f)\/f)) assuming f is positive.\nAnswer: f**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 359*b**2 - 6 + 190*b**2 + 179*b**2 - b to the form f*b + w*b**2 + s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**7\/r*r*r**(-5) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52586 + 52585. Let h = -185\/772 - 2\/193. Which is the biggest value? (a) h (b) 0.4 (c) v (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 6, e: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 133. Let q(a) = 3*a. Give q(m(h)).\nAnswer: -6*h - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2571, 2516, 2413, 2232, 1943, 1516, 921, 128?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 5*c**3 + 0*c - 9*c + 0*c.\nAnswer: -5*c**3 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21. Suppose -q + 5*x + 41 = t, 0*q + 2*q + 5*x = 97. What is the lowest common multiple of 3 and q?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 4 - 2)*(3 - 1 + 5)*(-3*d + 0*d + 5*d) to w + x*d and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2\/13, -6, -1, -1.48, 4 in decreasing order.\nAnswer: 4, 2\/13, -1, -1.48, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 7. Let s be g(3). Let b(k) = -k - 6. Let w = 9 + -16. Let p be b(w). Put s, 2, p in ascending order.\nAnswer: s, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477999 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/((-1)\/(42\/9)). Calculate the greatest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -130*x + 1293 + 21. Let z(n) = n**3 - n**2. Let c(j) = -3*j**3 + 12*j**2 + 13*j - 21. Let a(k) = -c(k) - 2*z(k). What is a(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -166, -267, -404?\n\"Answer: -18*q**2 - 11*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/10*(-1)\/(1\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c + 6. Let o = 222 - 218. What is the third derivative of -d**2 + 5*d + o*d**3 + d**c - 5*d wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 4 (c) -4\/7 (d) 0.12 (e) -102.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let n(q) = -4*q**3 - q**2 - 2*q - 1. What is the remainder when (-164)\/(-16) + c\/4 is divided by n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85160 - 85155.2461. Let c = -0.7969 + j. Round c to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 50\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13131 (base 6) in base 8?\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8933 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105623, 424023, 954683, 1697597, 2652759, 3820163, 5199803, 6791673?\nAnswer: 8595767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 194986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273.9173 + -14820817.0827. Let i = b + 14821108.000466. Let p = i + -17. Round p to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 607320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.184 - -0.029. Let x = -2966006 + 2966005.8449861. Let v = i - x. What is v rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**32*h)\/h)\/h*h\/h**(-3\/8)*h)\/(h**(-1\/3)*h*h**(6\/7)) assuming h is positive.\nAnswer: h**(5519\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011100111010100110100 (base 2) to base 16.\nAnswer: 4e7534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16922572?\nAnswer: 2, 23, 419, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 3*z - 3. Let t be f(3). Let r(d) = 24*d**2 + 3*d - 3. Let y be r(1). Suppose 8*v + y = 9*v. What is the highest common divisor of v and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*j + 13*j + 144. Suppose 2*h + 0*y + y + 121 = 0, j*h - 2*y + 238 = 0. Is -59 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/839, -0.03, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, -6\/839, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/97205811 and -19\/737.\nAnswer: 1069263921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30321 (base 6) to base 16\nAnswer: -fa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*t - 4*o + 23 = 0, -74*t - 2*o = -71*t - 15 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -307 + -30?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -0.2, 0.2, 21317, -3?\nAnswer: 21317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8aa (base 12) to base 14.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/4 - (-12)\/16. Let h(l) = l + 9. Let w be h(j). Suppose w*f = 4 + 21. Solve f*i = -0*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 9*p**2 + 125*p + 12. Give b(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-70)*5)\/((-10)\/(-42)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9252 divided by 398.\nAnswer: -4626\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121251419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4968 + 7761. Calculate the lowest common multiple of 3 and z.\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z**4 - z - 1687199*z**2 - 1 + 6*z**4 + 1687184*z**2 to the form g*z**2 + c + k*z**3 + l*z + f*z**4 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 14\/612265 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633254067?\nAnswer: 3, 29, 41761541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 7*h - 7. Determine w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 12210022102012221?\nAnswer: -12210022102012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -4 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 + 11*v + 4. Let f be y(5). Solve 4*l - f*l + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.023, 2, 4\/9, -2?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (51\/18 + 7) and (1\/40)\/(2\/(-476))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 1205*h + 33250. Determine z(29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177342*k**2 + 487825*k**2 + 205980*k**2 + 1648185*k**2.\nAnswer: 2164648*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3940 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + 8 + -5 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 488*l**3 - 5*l**2 + 7*l. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16534727 to the nearest integer?\nAnswer: 4066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {a: 9, n: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 37\/800260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 0. Let m = -313\/7 + 45. Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454918 = 2054*f - 411784 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 4*n - 5*n + 3*n - 4 + 1. Let r be -5*(-6)\/(-15)*1. Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/13)\/(g\/(g**(-2\/11)*g))*g**(-1\/3)\/((g*g**(-2\/7)\/g)\/g) assuming g is positive.\nAnswer: g**(2083\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 14. Let i(s) = -1. Let a(v) = d(v) + 6*i(v). Let m be a(-7). Calculate the remainder when (m*2)\/((-1)\/2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325995\/8 >= 40749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205 - 11406?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15 - 18 - 23 + 56 - c. Let h(d) = 2*d + 199. Determine f(h(k)).\nAnswer: -2*k - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -41165.\nAnswer: 3\/41165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210388, -1682230, -5677240, -13457002, -26283100?\nAnswer: -45417118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:23 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-25) - (-8)\/(-35). Let y be 22\/10 - (16 - 14). Which is the third biggest value? (a) p (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4 - 231*k**3\/4 - 820*k**2 + 231*k + 3296 = 0.\nAnswer: -32, -103\/4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Solve 2*c = 7*c + r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:40 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 3*g - 3. Let s(n) = -n**3 - n**2 + 5*n - 1. Let q be s(2). Let c(f) = 9*f**2 + 7*f - 7. Give q*c(t) + 7*m(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 61*p**2 + 61*p**2 + 6*p**3 - 11*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 31*h - 31*h = 140 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 2)*4 + sqrt(300) - sqrt(300)) + (sqrt(300) - (sqrt(300) - (sqrt(300) - 6*-2*sqrt(300)))) + 4 - -3*(1 + sqrt(300)*-2 + -4))**2.\nAnswer: 660*sqrt(3) + 36309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102.5104 months in millennia?\nAnswer: 0.1752092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2 - 18. Suppose -3*x = x - 16. Let d(q) = -5*q**2 + x*q**2 + 0*q**2. Give d(o(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 33*x**5\/20 - x**4\/12 - x**3\/2 + 40*x**2. Let c be i(-1). What is the greatest common factor of c and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.1358 and 68.8?\nAnswer: 73.9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 2*j - 2. Let y(o) = -4*o**2 - 3*o - 1. Let p(w) = 2*y(w) - 3*z(w). What are the prime factors of p(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.052 + 3.252. Let f = n - 3.2. Let y(j) = 3*j - 29. Let q be y(8). Which is the fourth smallest value? (a) f (b) -0.5 (c) 12 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) -128 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.99 - -0.01. Let u(m) = 2*m. Let r be u(2). Suppose 2*h - 5*h = s + 12, -16 = 5*h + 3*s. What is the second biggest value in r, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-9))\/((-19)\/((-2223)\/(-26)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b**2 + 6*b**2 - 34*b**2 to the form j*b + w*b**2 + h and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 50\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 17*c**2 + 12 + 20*c**2 + 167.\nAnswer: 3*c**2 + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/2)*k)**(3\/7))**(-17\/2) assuming k is positive.\nAnswer: k**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(-19 - 14 - 16 - 150*o + 49) to v + m*o and give m.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3205.46 - -3242. Let a = 37 - s. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16224 and 85176?\nAnswer: 340704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-14)*(-22)\/(-6) + 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/36708 and 43\/73416.\nAnswer: 73416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -1001000?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1321531642*y**2 + 439711661*y.\nAnswer: -2643063284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-3 + (-3 - -15) + (-27 - -32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrcyydcrr. What is prob of picking 1 c and 1 d?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 74. Let g = -69 - i. Which is smaller: g or -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Suppose -4*m = -3*a + 10, -a - 2 = -0*a + 4*m. Let d(y) = -y + 1. What is a*d(v) + q(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11987864.\nAnswer: 2, 7, 214069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u - 1. Let h(n) = 2*n**2 + 5*n - 1. Suppose 2*d + 6 - 5 = 5*i, 5*d = -15. What is i*h(w) + 5*j(w)?\nAnswer: 3*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1. Let h(b) = -4*b**2 + 28. What is -3*h(w) + 84*l(w)?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-407922)\/(-78) - (-90)\/390.\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -34 + 23*w**2 + 38 - 46*w - 18*w**2. Determine q(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1573) - sqrt(1573))*4 + 1 + sqrt(1573) + -5.\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let c(m) be the first derivative of -41*m**4\/12 - 46*m - 21. Let p(q) be the first derivative of c(q). Give p(s(l)).\nAnswer: -164*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3)*((-7 + 2*w + 7)*(-2*w + 6*w - 2*w) + (-w - w + 0*w)*(-3 + 3 - 2*w) + (-3*w + 2 - 2)*(3 - 3 + 3*w)) in the form g*w + k*w**2 + q and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -65*i - 6. Determine o(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 13056*p.\nAnswer: -3*p*(p - 4352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1.67378\nAnswer: -1.57378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 69. Suppose -39 + f = 3*n. Which is the closest to -2\/5? (a) -1\/5 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (224*m + 37*m + 12*m)*(-6*m**2 + m**2 + 3*m**2) + (2*m**2 - m**2 - 3*m**2)*(-3*m + 0*m + m) + 9 - 9 - 15*m**3 as o + v*m**3 + b*m**2 + l*m and give v.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - 2*sqrt(102))*-5 - 1*(sqrt(102)*1 - sqrt(102)))\/(sqrt(18)\/(sqrt(3)*2) - sqrt(6) - sqrt(216)*3).\nAnswer: 8*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/15)*q**(-2)*q**(-10)*q**7)**(2\/37) assuming q is positive.\nAnswer: q**(-116\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29466 - 2182.57.\nAnswer: 27283.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let l = -1 - y. What is the third derivative of 4*f**6 + 3*f**6 - 3*f**6 + f**l wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t - 5. Suppose 24 = l + l. Suppose 17*s = 15*s + l. Suppose -4*x + s*x = 10. Give b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/447 and (-5)\/((16\/(-88))\/((-12)\/18)).\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 times 34.9929?\nAnswer: 3.8842119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - -2*sqrt(30))\/sqrt(6)*-3 + -4 + (sqrt(245)*1)**2.\nAnswer: -9*sqrt(5) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1577204, -1577214, -1577238, -1577282, -1577352?\nAnswer: -1577454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 1. Let i(h) = -36*h + 6. Let t(l) = -5*b(l) + i(l). Determine t(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/2 + 43035*b\/2 + 21516 = 0 for b.\nAnswer: -14344, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*u + 45, -3*u - 526*j + 3 = -529*j. Which is the smallest value? (a) -2\/17 (b) 1 (c) u (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 76 = 4*l. Calculate the lowest common multiple of l and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51769\/178185 - -1\/16970. Calculate the common denominator of -151\/2310 and r.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 1 (c) -0.4 (d) 364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:27 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -88?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.8 - -56.8. Which is the closest to -0.64? (a) -1 (b) -0.07 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92d76 (base 14) to base 2.\nAnswer: 1010110011001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6.7. Let n = -342 - -2392\/7. What is the nearest to n in 0, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(28)\/(sqrt(196) + sqrt(196)*-1 + sqrt(196)) + -1).\nAnswer: -3 + 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-78)\/162)\/(-13)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 14*p + 19. Suppose 1932 - 266 = -119*r. Give m(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2133 - -2133.01. Is q greater than -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -8. Let u(p) = 2*p + 2. List the prime factors of u(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -846, -0.1, -1, 6\/5, -4, 13?\nAnswer: -846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 5. Suppose 2*x + 3*c - 3 = 9, -3*c = 4*x - 36. Suppose 2*q + x = 6*q. Let b be -3 - -6*q\/6. Calculate m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:11 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17088*c*f**3 - 281*c*k - c - 6*f**3*k + f**2*k - f*k - 8*f wrt k?\nAnswer: -281*c - 6*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 10*o**2 - 531*o\/4 - 765\/2.\nAnswer: (o - 51)*(o + 5)*(o + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o. Let h(k) = 9*k**2 - 3*k - 1. Let u(g) = h(g) - 3*r(g). What is the derivative of u(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let l be (9\/2)\/(f\/8). Let n = -1 - -10. Calculate the highest common factor of l and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.044694 millennia in months?\nAnswer: 60536.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*v**3 + v**2 + 1724*v**3 - 3*v**2 - 2*v**2.\nAnswer: 2463*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 + -4.16. What is the nearest to -2 in 1, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) -12\/13 (c) -0.6 (d) 0.02 (e) -0.2 (f) 2 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14312 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*6*sqrt(152)*-5*-5)\/(sqrt(72)*-1*-5*3))**2.\nAnswer: 7600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -29872765.929\nAnswer: 29872766.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 - ((-17 - -11) + -2732)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -22*s. Let g be 28\/3 - (-6)\/9. Let l(i) = 23*i**2 + g*i**2 - 38*i**2. Calculate h(l(r)).\nAnswer: 110*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/678832 and 41\/1295952?\nAnswer: 14255472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6356638232.\nAnswer: 2, 7, 17, 523, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28761\/14020 + 1\/701. Let c = -129737\/40282 - 12\/1831. Find the common denominator of c and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 3*o - 2*o + 3*o**4 + (3*o**4 - o**4 + 3*o**4)*(7 - 4 + 3) - 97 + 97 + 6*o**4 + 2*o**4 - 2*o**4 + o**4.\nAnswer: 36*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/3 - (78 - -1). Let h = -43 - r. Suppose -4*u - h = -2*o, o - 3*o = 3*u - 3. Calculate the highest common factor of 36 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*t + 2633, -4*t + 3510 = 16*q - 17*q. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**5)\/k)\/(k**(-3)\/k*k))\/(k**0)**(4\/3))\/((k**(-2\/7)*k)**35\/(k*k*k\/k**(1\/4))**(8\/5)) assuming k is positive.\nAnswer: k**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n - 60*n + 600 = 0. 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 closest to 27 in 0.1, -5, -0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -720*x + 3589. Calculate u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r. Let c be (-20)\/15*(-3 + r). Find the first derivative of 1 - k - 2*k + c*k wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:58 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 549928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u + 2. Let h be i(2). Solve 3*j + 4*p = 2*j + h, j - 5 = -p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*x**2 + 60*x**3 + 161*x**2 + 187*x**2 as r*x**2 + m + f*x**3 + a*x and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.15 + 80. Let m = -0.95 + k. Which is smaller: -2.5 or m?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1915 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26632 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0744 - -0.0544. Which is the closest to d? (a) 5 (b) 1 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 42*c**2 + 35*c + 354. Calculate d(41).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 + 4 = 0. Let x(y) = s - 5 + 2*y + 1. Let o(t) = 13*t. What is x(o(j))?\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12205, 24517, 36817, 49099, 61357, 73585, 85777?\nAnswer: 97927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122\/3 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 405 (base 10) to base 8\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.8. Let v = 124 - 622\/5. What is the nearest to v in 0.4, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72076 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000799 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/15 - d**5\/15 + 21*d**4\/8 - 4*d**2 - 13*d. What is the second derivative of a(r) wrt r?\nAnswer: 168*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5 + 12 + 9*q - 4*q**2 - 9*q. Let m(z) = -z**2. Let j(r) = i(r) - 3*m(r). Let l(f) = 4*f**2 - 22. Calculate 7*j(p) + 2*l(p).\nAnswer: p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6776))\/(sqrt(128) - 4*sqrt(128)).\nAnswer: -11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-3) - -2)*42\/84. Let s = -1.7 - -3. Let h = s - 0.3. What is the second smallest value in 2\/11, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 2*o**4 - 6*o**4)*(2 + 6 + 35 + (2 - 2 + 2)*(5 + 0 - 3) + 4 - 2 - 1 + 0 + 0 - 1 + (2 - 2 - 2)*(-1 - 2 + 1) + 6 - 1 - 3).\nAnswer: -159*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6 - 3 - 16*h + 3 + 36*h. Suppose -k + 25 = 5*l, -2*l - k + 6 = -4. Does 42 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/7 - 523\/91. What is the closest to 0.1 in q, -4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bghfghyb. Give prob of sequence yggb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 731.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -12.3.\nAnswer: 3.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 16*j + 2468 - 3*j - 2466 - 3*j + 9*j.\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16538, 16762, 16986, 17210, 17434, 17658?\n\"Answer: 224*v + 16314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-21) - 4\/14. Let j be -1 - (0\/(-3) + -3 + 2). Let o = 0 + j. Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 863*j + 8634. Give o(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -615 + 17166990.9\nAnswer: 17166375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 54\/13 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 - 204\/(-85). What is the third derivative of -m**2 - 5*m**5 - 3*m**j - 4*m**2 wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -89*v + 35. Is 10 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244\/(-1017) + (644\/19642 - (-104)\/549).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 + 9*v**2\/2 - v. Let l be o(0). Let k(i) = i - 1. Let g = 18 - 22. Let y(x) = 2*x - 2. Give g*y(f) + l*k(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0986 * 0.608\nAnswer: -0.0599488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(1\/6)*(i*i\/(i\/(i**(2\/13)*i)*i))\/i*i\/i**(-1\/2))\/((i\/i**(-1\/4))**(36\/5)\/(i**(-2\/7)*i*i)**49) assuming i is positive.\nAnswer: i**(2918\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/13 or -72.55?\nAnswer: -72.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-8)*26\/(-4) and 31\/((-3 - -8) + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 3*m**2\/2 + 838. Let w(v) be the first derivative of 37*v**2\/2 - v + 11. Calculate w(j(n)).\nAnswer: 111*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -597, -903, -1211, -1521?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -3\/2, -1, -0.06 in descending order.\nAnswer: -0.06, -1, -3\/2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c + 5 - 5 - 62*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 31 = -o, -g + 2 = 4*o + 21. What are the prime factors of (g - -5)\/(-2 + (-513)\/(-258))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1243 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -4 (c) -2\/13 (d) -0.5 (e) 4 (f) -1133\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (945\/(-4))\/((-1)\/24).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535 + 0*z**3 + 535 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 + 14. Suppose -3*y = -0*f + f - 44, -20 = -y + 5*f. Let v be ((-81)\/36)\/(y*(-2)\/(-16)). Put h, v, 4\/5 in decreasing order.\nAnswer: 4\/5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 92 - 112 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/4080*34*(-1)\/((-6)\/(-57))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/7)*t**(-1\/15)*t*t**(-9)*t*t**(-5\/3)*t)**(-2\/41))**(-2\/151) assuming t is positive.\nAnswer: t**(-2768\/650055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 24*z**2 + 7*z - 9. Let r(j) = 1 + 5 - 10*j**2 - 7*j**2 - 9*j + 4*j. Let m(w) = -5*b(w) - 7*r(w). Calculate m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4)*(-8)\/18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7888 in 4\/5, 0.029, 2\/15?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 135*y + 50952 = 137*y. What is the remainder when 197 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1827*l**4 - 415*l + 794*l + 225*l**2 - 378*l wrt l?\nAnswer: -43848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151676 - -1097.\nAnswer: -150579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 + o + 1. Suppose -5*i = 2*d - 12, -2*d = 4*i + 2 - 14. Suppose 4*p + 2*p = -d. What is x(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h - 7. Let f be j(-4). Let b be f\/4 + (-5)\/20. Is ((-1246)\/b)\/((-3)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28975367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.5, -14\/15, 5, 61, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23267*t**2 + 472976*t**2 - 25612*t + 25612*t + 6742*t**2.\nAnswer: 502985*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 490, 504, 518, 532, 546, 560?\n\"Answer: 14*g + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0220556 litres in millilitres?\nAnswer: 22.0556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144323143 (base 5) to base 4.\nAnswer: 22122131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -844.37.\nAnswer: 842.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35066 - 4*y**2 - 3*y**2 - 5*y**2 + 4*y**2 - 34554 to the form c*y**2 + b + u*y and give b.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124224 - 10010?\nAnswer: 114214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 14. Let t(h) = 2*h**2 - 4*h - 1. List the prime factors of t(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -2\/5, 2\/189, -2?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*a + 17*a. Suppose a*r - 14 = 20. What is the second derivative of -r*d**3 + 3*d**3 - 18*d**3 + 44*d wrt d?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/1645 and -5\/1974.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2210 and 1014812110.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**(-49)\/(z**(-4\/15)\/z*z*z**(-1\/4)*z*z) assuming z is positive.\nAnswer: z**(-14789\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17051.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12409, 3\/4, 7\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 4. Let a be (62\/(-217))\/(1\/14). Let p(n) = -n + 1. Calculate a*o(c) + 14*p(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1344 and 210252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 - 8 = 0. Is 6\/53 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 2368, 7663, 17888, 34687, 59704?\nAnswer: 94583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33286222\/217 - -153393. Find the common denominator of v and -89\/42.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 i when three letters picked without replacement from iikimwbibwbbbium?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(-2 + -1*sqrt(468)))**2 + -5 + (5*(0 + sqrt(325)) - sqrt(325) - (sqrt(325) - -1*sqrt(325))*6)**2.\nAnswer: 720*sqrt(13) + 37743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) 0 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 64*j**2 - 58*j + 322. Let i be q(-63). Solve -11*m + i*m - 8*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11413110 - 242?\nAnswer: -11413402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14)**14*(r\/(r\/r**(-3\/10)))**(-27) assuming r is positive.\nAnswer: r**(2041\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 11*m = -s - 27, -5*m = -4*s - 63. Let k(i) = i**2 + 13*i + 4. Calculate k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 - c**3 - 9*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191108340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7015\/(-161))\/(-5 - (-55)\/22) + -18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*t + 19, -2*t - 15*c - 2 = -17*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4069247 litres in millilitres?\nAnswer: 406.9247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*i + 951, z = -6*i + 4*i + 379. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 153994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 3. Let p(f) = 5*f**2 + 7. Let z(q) = 7*h(q) - 3*p(q). Let g(v) = 3*v. Calculate g(z(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(1188))\/((sqrt(11) - (sqrt(44) - sqrt(44)*1)) + sqrt(11)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043575714.\nAnswer: 2, 521787857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*n - 2*n. Let j be (12\/18)\/(n\/9). What is the greatest common divisor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -18055 + 2)*(-16002)\/504 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723584 + 723584 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3426 and 264.\nAnswer: 150744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22561 and 2132900.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16492182?\nAnswer: 2, 3, 7, 211, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**3 - q - 2. Let l be k(-2). Let v be 9\/(-6)*l\/(-3). Calculate the remainder when 38 is divided by (5\/2)\/(8\/v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1768*h + 8. Suppose -34 - 8 = -7*c. Let u be y(c). Round u to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/2 + -1)\/(-1). Suppose 6*d = 4*o + d + 7, 0 = 2*d - 6. Sort l, 0, o.\nAnswer: l, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c + 10, 0 = 3*o + 4*c - 55. Let s(a) = 13 + 22 + o + 2*a - 57. Let h(z) = 4*z. What is s(h(d))?\nAnswer: 8*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*i + 142*i = 7. What is the nearest to -2\/3 in -2, 19\/5, 3, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1237*h**3\/3 + 1850*h**2 - 3605. Find the second derivative of o(r) wrt r.\nAnswer: -2474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 3. Suppose -u + 4 = -5*m - 9, 3*u - 67 = m. What is the least common multiple of l(-13) and u?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**2 - 2*p**5 + 3*p**3 - 11*p**2 + 3*p**3 + (-2*p**3 - 2 + 2)*(0 - 2*p**2 + 0).\nAnswer: 2*p**5 + 6*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10001101101110101101?\nAnswer: -10001101101110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 89*f**2\/2 + 83*f + 348.\nAnswer: (f - 87)*(f - 4)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (829 - 853) + 1 + 10 - (6 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*n + 11. Solve 6 = n*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from ggggghghhgggghhggg.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}