diff --git "a/data/dm_maths/full_data/2249_11255.jsonl" "b/data/dm_maths/full_data/2249_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2249_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put -3, -8, -5, 5441, 9 in descending order.\nAnswer: 5441, 9, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -879, -912, -937?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -8a?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14637, 14636, 14635, 14634, 14633?\n\"Answer: -a + 14638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2)*(31*12)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 1007\/(-57))\/((-9)\/((-27)\/(-2)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3567, 3, 4, -9 in decreasing order.\nAnswer: 3567, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Which is the second smallest value? (a) -6 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632\/9 + -70. What is the closest to -0.1 in -3\/5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 91 = 2*b - 295, 2*b + 3*t = 212. What is the remainder when b is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 1.93. Which is the nearest to 1? (a) -1 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, f: 2, w: 1}. Give prob of picking 2 g and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6.57, 1.8, -0.0077, 3\/5, 5, 0.1?\nAnswer: 6.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(-2548) + (56508\/(-3536) - -16).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Let w be j\/(-6)*(0 + 3). What is the third biggest value in w, -1, 1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Let z(m) = 2*m**2 - 4*m - 3 - 3*m - 2. Is z(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - h = 2092 + 2278, -7265 = -5*v - 2*h. Is (-3)\/(-6) + v\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1853920 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21764833448 to the nearest one hundred thousand.\nAnswer: 21764800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 685, 0, 0.02, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -357*v + 241*v + 20*v**3 + 115*v - 2 to the form a + h*v**3 + s*v + y*v**2 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 22. Let g = a - -6. Let v = -16.999991 + g. Round v to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwk when three letters picked without replacement from muukuwukukum?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -437, -444, -465, -506, -573?\n\"Answer: -p**3 - p**2 + 3*p - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2.09?\nAnswer: -0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 6*m**2 + 2 - 6*m**2.\nAnswer: 6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w + 21 = 0, h + 56 = 4*h - 5*w. Suppose 0 = -4*g - 3*a + 49, -4*g + 2*a + 17 + h = 0. What is the remainder when 17 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 223 = 919. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamammaammaaaamaami. Give prob of picking 2 a.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 219.201714s?\nAnswer: 0.002537056875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2. Let w(c) = -3*c + 1. Let u be w(6). Let a = -16 - u. Let s(v) = -2 - 7*v**2 + a - 1 - 4*v**3. Give -s(p) + 5*t(p).\nAnswer: -p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 5 (c) -0.16 (d) -1\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + (2 - -1). Suppose t*g - g = 3. Is ((-15)\/(-2))\/(g\/6) 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 3:13 AM and 4:57 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = g - 119, -5*v + 199 + 384 = g. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -74*g**2 - 3*g. Let y(l) = -75*l**2 - 4*l. Let m(q) = -4*i(q) + 3*y(q). Let h(c) = 2*c. What is m(h(a))?\nAnswer: 284*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/15 - (-2)\/(-3). Let t = i + -5\/6. What is the common denominator of t and (-213)\/(-18) + (-3 - (5 - 6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - -8. Let k = 245\/2 - 120. Let w = -1 + 5. What is the smallest value in k, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514159763*b - 525*b**3 - 514159763*b.\nAnswer: -525*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 63. Calculate the least common multiple of 12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/221 and 61\/464009.\nAnswer: 7888153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + p**2 - 3*p - 1. Give w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 267\/4 (b) 1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 2. Let h be o(-1). Suppose -2*v - 4*p + 16 = 0, -p = -h*v + p - 8. Are -2\/11 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t. Let k(w) = 9*w. Let m(j) = -5*a(j) - 3*k(j). Let i(x) = -x**3 - 6*x. Calculate -3*i(y) - 6*m(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/80529 and -5\/54.\nAnswer: 1449522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 580*b + 16820.\nAnswer: 5*(b - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 + 51*c**2 - 3534260 + 3534258.\nAnswer: 65*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 716188435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 622 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 159609*x\/2 - 79804.\nAnswer: -(x + 1)*(x + 159608)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w**2 + 4*w + 6. Let d be h(5). Let z be d\/449 + (2 - 3). Let b = z + -924\/5837. Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + m**2 + 4*m - 5*m. Let j = -8 - -7. Let w be h(j). Solve -4*k - 4 + w = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319132994*j + 319132994*j + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bytvbvatztbt. Give prob of picking 1 y and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 105, 194, 323, 498, 725?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a - 2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/(6\/9). Suppose -c = 3*l - 38, -82 = -5*l + 5*c + 8. Let i(n) = 2*n - 8. Let k be i(4). Solve 0 = 5*g + 20, k = o*y - 4*g - g - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2. Let y(l) = -103651*l. What is a(y(r))?\nAnswer: 85948238408*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s + 28 = 0. Let j(d) be the second derivative of -725*d**4\/6 + 7*d**3\/6 + d**2\/2 - d. Let c be j(s). What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -110) + (-41 - 15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139632 and 8496.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10842 and 4170.\nAnswer: 54210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*3300\/(-3150)*((-7)\/(-7)*-18)\/11?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -770913790 to the nearest one hundred thousand.\nAnswer: -770900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16 and -125\/259848.\nAnswer: 519696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2661*t**2 + 4*t + 50. Let d(l) = 888*l**2 - l - 15. Determine 10*d(c) + 3*i(c).\nAnswer: 897*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18123*p**3 + 1084*p**2?\nAnswer: 108738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1430)\/198 + (-4)\/(-18). Let j(x) = -8*x**3 - 5*x**2 + 6*x. Let k(r) = -9*r**3 - 6*r**2 + 7*r. What is v*j(i) + 6*k(i)?\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-438)\/(-168) - 24\/28\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1775 + -1766.77. Let k = 9.23 - s. Which is the second smallest value? (a) k (b) -1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-2990))\/(3\/10)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:12 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 18015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1027 + -1027. Let u(d) be the second derivative of -3*d**2 - 7\/6*d**3 - 1\/12*d**4 + v - 5*d. Give u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v + 30 = 0. Is v\/30 + 1488\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21622, -23744, -25866?\n\"Answer: -2122*v - 19500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.875 - -0.74707. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51519 and 126906?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34796 - g - 34833 + 69629.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35189423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4085994 divided by 6.\nAnswer: 680999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l + 70 = 0. Suppose -3*w = -4*w + 24. Let y = w + l. Solve h - y = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - 3. Let m(k) = -k**2 - 1. Let g(n) = -3*m(n) + t(n). Let y(a) = -2*a + 127 - 127. Determine y(g(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 368452493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4214 - 4214 + 26*d to q*d + t and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*a - 1099 + 1138 = 0, 3*j + 4*a = -39 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58716596*g**3 - 5956466 wrt g?\nAnswer: 176149788*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 15. Let d be ((-8)\/48)\/(-4 - (-570)\/144). Let c(h) = 2*h - 15. Give d*c(g) - 5*l(g).\nAnswer: -2*g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 39182640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 620901.\nAnswer: 6829911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.1 (c) -6\/97 (d) -0.08 (e) 3\/8 (f) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*r - 5146*c**2 + c*r + 3*c - r - 77 wrt c.\nAnswer: 4*r - 10292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4989 and 3236198?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/2, 0.5, -4, 7\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 34. Suppose -u - 12 = k + 2*u, 2*k = 4*u + 16. Is k equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028180550589 minus -27?\nAnswer: 27.028180550589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127087, 257497, 387907, 518317?\n\"Answer: 130410*j - 3323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2\/13*v**2 + 4\/13*v - 2\/13 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a**3 + 21*a - 38*a + 18*a - 29*a**3.\nAnswer: 65*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.7 + -48. Which is the smallest value? (a) 0.4 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -18. Let g(x) = 21*x + 7. Let i be g(c). Is 11 a factor of (150\/35)\/(-5)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*g**2*p**2*x + 10*g**2*p*x**2 + 28*g*p**3*x + 110*g*p*x - 222160*p**3*x**2 wrt x.\nAnswer: 20*g**2*p - 444320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 399 in -4, 1\/2, 2, 0.4, -9\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/5 - 666*q**4\/5 - 664*q**3\/5 = 0.\nAnswer: -332, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3707429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54 + 128\/(-414)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, -8, 4, -1 in ascending order.\nAnswer: -19, -8, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2306287*k**3 - 1152951*k**3 - 1153332*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 71. Let l = z - 12. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -973 + 973 + 3*d - 11*d**2 - 2*d**3 + d - 6*d. Let l(x) = -6*x**3 - 32*x**2 - 5*x. Calculate 4*l(g) - 11*w(g).\nAnswer: -2*g**3 - 7*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let n(o) = 1. Let r(w) = -3*l(w) - 3*n(w). Let c be r(-3). Calculate the remainder when 138 is divided by (-286)\/(-6) - c\/(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -279*q - 2209. Let s be l(-8). Calculate the highest common factor of s and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33 - 19 + 4*q**2 + 8*q - 2*q**3 - 16 wrt q.\nAnswer: -12*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2979, -0.084, -2\/11, -8, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*p**3*x**4 - 118359*p**3*x**2 + 413*p*x**5 wrt x?\nAnswer: 2016*p**3*x + 24780*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**2\/2 - 795*h\/2 - 12075 = 0.\nAnswer: -230, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -10594\nAnswer: -73\/10594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 4*s - 1. Let k be o(-2). Sort 1, k, -3\/4, -3 in descending order.\nAnswer: 1, -3\/4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -71055 and -0.1243.\nAnswer: -71055.1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4717 and 4030454?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -425, -510, -651, -860, -1149?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose n - 25 + 9 = d. Suppose -x - x + n = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548\/8 - 12\/(-8) is divided by 1*4 + 1176\/49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*l*q**2 + 19*f**2*q - 5*f*q**2 + 2*l*q**2 - l*q wrt l.\nAnswer: 2*f**2*q**2 + 2*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c. Let x(b) = -12*b. Let n(y) = -26*y. Let t(v) = -5*v. Let m be t(-1). Suppose 16 = m*w - 4. Let g(d) = w*n(d) - 7*x(d). What is g(a(s))?\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/171)\/((-36)\/((-11880)\/(-30))).\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124707011?\nAnswer: 11, 13, 872077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tivt when four letters picked without replacement from cdivtgti.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c - 4*c - 2*c + 5*c. Suppose 0*d + 3*w = -3*d + 3, -4 = -2*d - w. Let a(l) = -l**2 + d - 3. Calculate a(q(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/6*2\/(-1). Suppose -5*o - w = n, -3*o + 3 = -n - 5*o. Let m = 14.1 + -14. What is the nearest to m in 4, -3\/4, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*v**2 + 498*v - 497*v - 854*v**6 + 76*v**2 - 2411*v**6 - 4 - 1 wrt v?\nAnswer: -391800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(900)*-5))**2 + 4 - ((sqrt(343) - (4 + -4 + sqrt(343)))**2 + sqrt(343))*6.\nAnswer: -42*sqrt(7) + 10007\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/1680 + k**7\/1050 + k**6\/600 - k**5\/300 + 9*k**2. Factor u(c).\nAnswer: -c**2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j - 10. Let o be l(4). Suppose -160 = -o*p + 5*p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.70448 rounded to two decimal places?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -5*r - 6 + 3\/2*r**2 + 16\/3*r**3. Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125482 (base 9) to base 10\nAnswer: 76214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8\/(k*k**6)*k\/k**(-2\/15)*k**8*(k**3\/(k*(k\/(k\/(k**6\/k)))\/k))\/(k**(-3\/8)\/(k*k*k\/k**(-1\/11))) assuming k is positive.\nAnswer: k**(15311\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*i**3 + 10*i**2 - 334*i wrt i?\nAnswer: -66*i + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 193 + 207 = 0. Put 2, -190, y in decreasing order.\nAnswer: y, 2, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240806 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95\/57*18\/10. Suppose -5*y + 1090 = 5*l, -k*y + 411 + 231 = -l. What are the prime factors of y?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/325260 and -23\/2.\nAnswer: 325260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 32 = 2*p, 2*p - 38 + 66 = m for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuouoosuoorooo. What is prob of picking 2 u and 1 s?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226782?\nAnswer: 2, 3, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -84 + -3 + -1. Let s = i - -106. Is s greater than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((1822\/(-12))\/1)\/(7\/(-714))?\nAnswer: 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1069926.8 - 1071152.64052. Let m = 1225.6 + p. Let s = m + 0.24. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmyymym. Give prob of sequence ymy.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 8*g - 7. Let m be 2\/9 + 395\/45. Let s be u(m). What is the units digit of s\/2*(4 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/15 + 98\/15 = 0 for n.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1450087816182 and 5.\nAnswer: -1450087816177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08099973 + -0.081. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 16*p - 40. Give s(-11).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 7.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169728 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4179.851 + -4177. Let q = -0.049 - i. Round q to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 183*r + 57*r - 1167600 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*x + 837*x - 8198*x.\nAnswer: -8069*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:57 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.132 + -258.668. Which is the second biggest value? (a) m (b) 4\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s - 480*s - 266*s.\nAnswer: -703*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5 - 21. Let u(d) = -d**2 - 4*d + 3. Let p be u(1). Which is the third smallest value? (a) 0.2 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -2*y, 0 = 4*f + 5*y + 4 + 4. Suppose 2*r - 6 = 2. Let v = r - f. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.48 + 7.48. Which is the third smallest value? (a) -0.4 (b) -3 (c) f (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76) - sqrt(76))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 7.\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 19*u + 22*u = -2006, -i = 3*u - 412. What is the remainder when i is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13156 (base 7) to base 13\nAnswer: 17aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 2*h**2 + 4*h - 1. Let f be i(-5). Suppose -4*b = -b - f. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = 3*w + 107, 309 = 3*q - 5*w. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27002880 divided by -90\nAnswer: 300032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1785\/2975*(-5)\/39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4011 - -3960. What is the closest to 0.1 in j, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-17\/5)*o*o**(-42)\/o)\/(o**(-39)\/((o\/(((o*o\/o**(-31))\/o)\/o*o*o*o))\/o)))**(1\/64) assuming o is positive.\nAnswer: o**(-101\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2097 + 55*s - 9*s + 44*s + 1616 - 1116 wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22287 + -14607. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 29. Let q be y(12). Is 66 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -198.1. Let t = k + -14.90182. What is t rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28637444*d*m**3 - 120639720*d wrt m.\nAnswer: 85912332*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 0.08. Let o = -54 + 55. Put 0.5, o, f in decreasing order.\nAnswer: o, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r, -3*r + 43 + 22 = 2*p. Suppose -32*z + p*z = 235. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 3*j**2 + 2*j**2 + 5 + 1. Let p(y) = 3*y**2 - 23*y - 17. Suppose -2*n + 3*n = -6. Suppose -5*v = -v + 68. Give n*p(m) + v*x(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 1*(-3 - -22). Which is smaller: l or -14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*t + 5*t + 800, 5*y = 3*t + 496. Let r be t\/42 - (-2 + -2). Let a be 1 + 2\/(-3 - -1). What is the nearest to 1 in a, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18249? (a) 2 (b) 2\/3 (c) -14 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3910 + r**2 - 3910 - 3*r**3 + 69*r to the form y*r + n*r**3 + x*r**2 + f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/2*q**4 + 1\/2*q - 1\/2*q**3 + 1\/2*q**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193724 + -766647\/4. Which is greater: h or 2062?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g\/(g*g**(-4)\/g))**(12\/5) assuming g is positive.\nAnswer: g**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25339 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 3, y: 1, c: 1, l: 2, i: 2}. Give prob of sequence yc.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/147 + ((-12)\/(-9) - 3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -18. Let k = -0.07 + -0.23. What is the third biggest value in d, k, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -48. Let s = j + 120. List the prime factors of s\/11 + (-2)\/(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760838 - 760838 + 184*g**2.\nAnswer: 184*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4704 divided by -294\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. Let n = w - -1.2. Let j = -4 - -1. What is the smallest value in 0.1, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1756268?\nAnswer: 3512536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let t(i) be the third derivative of 13*i**7\/2520 + i**4\/4 + i**3\/3 - 10*i**2 - 4. Let q(w) be the second derivative of t(w). What is n(q(b))?\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + 205\/(-25))\/(6932\/(-20)). Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 235 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 65683186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4896\/80141 or -1?\nAnswer: 4896\/80141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w + 1. Suppose -y + 2*p - 1 = 4*p, -5*p = -5*y + 25. Let i(x) = 2*x - x + 2 - y*x. Determine i(s) - 2*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165\/7 - 24. Put 2\/65, 2, -4, f in descending order.\nAnswer: 2, 2\/65, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -0.2, 5\/3, 6\/95, 2 in decreasing order.\nAnswer: 2, 5\/3, 1, 6\/95, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86074.27 kilograms in nanograms?\nAnswer: 86074270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*b - 5*u, 0*u + 5*u = -b - 15. Suppose z - 3*k = -z + 87, b*k = z - 61. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3728.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286077 + 0.5967.\nAnswer: 286077.5967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263748799.\nAnswer: 43, 2087, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46, 31, 14, -5?\n\"Answer: -k**2 - 12*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*m - 14652 = 10309 - 4005 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xff when three letters picked without replacement from xfgxhgggf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 4*j - 95. Calculate the remainder when j is divided by -39*(-3 - (-21)\/9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 5) + 0 + (-139 - -119)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482347267.\nAnswer: 2593, 186019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.74992123 to 4 dps.\nAnswer: -14.7499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -635975 by 127195.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = 22. Let n be (7 + o)*-1 + 3. What is the closest to n in 4, -1, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/2005 + -86247\/32080. Let w be (6381\/(-42) + -2)*(-194)\/30. Let g = -997 + w. Calculate the common denominator of g and k.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124621 is divided by 420?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 6. Let a = t + 6. Suppose 2*x + 5*c + 12 = 0, x = c + 1 - 0. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2475 and -34\/17431425.\nAnswer: 17431425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0825 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 + -352. Let p = -47 + 39. What is the second biggest value in p, v, 2\/15, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/6 - (-2)\/(-6). Suppose -3*s - 16 = -s. Let k be (-2)\/n*s\/24. What is the biggest value in k, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Let z(x) = 4650*x**2. Determine t(z(i)).\nAnswer: 21622500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(-28 + 31 + 19) + 3*m - 6 + 9 + 0.\nAnswer: 47*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08819775 * -32.\nAnswer: 2.822328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288) + (-2 + sqrt(288))**2 - (sqrt(18) + -2*sqrt(1800))) + ((sqrt(48)\/(sqrt(12)\/sqrt(3)))\/(sqrt(24)\/sqrt(100)))**2.\nAnswer: 33*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35574423880.627 take away -3?\nAnswer: -35574423877.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/9)\/(2\/6). Is n >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*s - 9943 - 26337 = -18535 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b - 2*s + 28, -4*b = -4*s. Let r = b - 2. Solve 3*p = -r*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 - 168*x**4 - 2784*x**3 - 20304*x**2 - 68688*x - 88128.\nAnswer: -3*(x + 4)*(x + 6)**3*(x + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(((u\/(u\/u**(-3)*u))\/u*u)\/u)\/u)\/u*u)\/u**(3\/8))\/(u**(-5\/4)*u**(1\/14)\/u)*(u\/u**(1\/4))**(1\/4)\/(u\/u**(-1))**(-48) assuming u is positive.\nAnswer: u**(10415\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -272?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - 3)*(-4 - 4 + 0)*(-3 - 1 + 3)*(3 + 0 - 4)*(-147*r**2 + 246*r**2 - 119*r**2) as o + m*r**2 + t*r and give m.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22971212, -45942426, -68913638, -91884848?\n\"Answer: q**2 - 22971217*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 38\/55 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-10)\/(-8))\/((-3)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmd when four letters picked without replacement from {m: 4, l: 3, d: 2, a: 6}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((115*-1)\/(76\/(-19)))\/(-23*25\/(-2300)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c**2\/3 + 10846*c\/3 - 39304\/3 = 0. Calculate c.\nAnswer: -289, 68\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + -2)*-2*2 - (sqrt(320) - ((sqrt(320) - 2*sqrt(320))*5 + sqrt(320)))*4)*6)**2.\nAnswer: -110592*sqrt(5) + 6637824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3, 5, 74, 9, 22 in increasing order.\nAnswer: -47, -3, 5, 9, 22, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkkkkkkdkkk. Give prob of picking 2 d and 2 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 times -0.922?\nAnswer: 363.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 2 + 127 + (17 - 34) - 3) + 12?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9684)\/139342)\/(18\/(-14))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(468)\/sqrt(4).\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-9 + 360\/32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 335\/8338 - -2\/379. Put w, 0, -1\/3 in descending order.\nAnswer: w, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*x + 44. Let b be (75\/(-6)*x)\/((-2)\/(-288)). Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -599.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 2 + (-2 - -7 - 18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q - 171. Calculate y(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(55)\/(-2*sqrt(11)*2) + sqrt(605)*4*-2).\nAnswer: 1059*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -400*-1\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 0*q**2 + 0*q**2)*(45 - 45 - q) + (0 + 0 + q)*(3*q**2 - q**2 + 2*q**2) in the form j*q**3 + u*q**2 + m + n*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/21)\/(5\/(-315)*-1). What is the tens digit of ((-234)\/d)\/(2 - 57\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47573)\/(-16) - (-3 - -5). Let p = i + -2973. What is the common denominator of p and -79\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47425 is divided by 510.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195394?\nAnswer: 2, 151, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/(-26)*(-52)\/(-6). Sort x, 2\/3, 0.5, 0.2 in decreasing order.\nAnswer: 2\/3, 0.5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226132533 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 3180 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*t + t - 12*t. Solve u + 2*i - 2 = 0, -23 = 2*u - t*u - 5*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 - 4*p**2\/5 - 61*p\/5 - 12\/5 = 0.\nAnswer: -3, -1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 9. Give l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 4*g - 2*g**5 - 5*g - 2*g**2 + (3*g + 0*g - g)*(2*g**4 - 2*g**4 - g**4) + 57*g - 26*g**5 - 57*g + g**5 - 82*g + 82*g - 4*g**3 + 4*g**3 - g**5.\nAnswer: -30*g**5 - 2*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 4186.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1717121 >= -1717122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((((sqrt(2112)*-2 - sqrt(2112)) + sqrt(33))\/(sqrt(99)\/sqrt(144)))**2 + 0).\nAnswer: -50784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 460 (b) -884 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/7089 and 25\/163464?\nAnswer: 2778888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2025, 16441, 55567, 131757, 257365?\n\"Answer: 2059*a**3 + a**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6516 divided by -6\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let y(s) = 20162229*s. Calculate y(t(m)).\nAnswer: 20162229*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.5. Let a = -14.1 - z. Let p = 14 + a. What is the smallest value in 4, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/4)\/(669\/892) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 1293*p**3 - 1 - 20*p + 744*p**3 - 852*p**3.\nAnswer: -1401*p**3 - 20*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - 112200130131?\nAnswer: -112200130212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-1 + -2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -559*j**3 + 13*j**2 - 5*j - 12. Let a(h) = 559*h**3 - 14*h**2 + 4*h + 9. Let s(t) = 4*a(t) + 3*m(t). Find the third derivative of s(q) wrt q.\nAnswer: 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -89699, 3, -4\/5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.381 - -0.081. Let x be (-32)\/6*3\/(-2). Let i = x + -10. Sort i, v, 3.\nAnswer: i, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z + 0*z**3 - 1\/210*z**7 + 0 + 2*z**2 + 1\/30*z**5 + 0*z**6 + 0*z**4. What is the third derivative of p(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1627033 + -45.\nAnswer: -1627078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/13)\/(146448\/26442)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/60 + 37*p**4\/24 - 49*p**2 - 1. Let m(x) = 3*x**2. Determine m(q(y)).\nAnswer: 3*y**4 - 222*y**3 + 4107*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-19*(-42)\/665)\/((-1)\/10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4761*-4\nAnswer: 19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4379 - -2911. Let g = l + 1468.1. Let h = 3\/8 - 65\/24. Which is the second biggest value? (a) g (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117425 - -1048?\nAnswer: 118472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 + 9 - 1) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3 - 9*p**2 + p**3 - p + 6*p**2 + 0*p**2. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 215 = 2*y, -5*y + 220 = 5*m - 4*y. Let b be m\/51 + -1 + 1330\/34. What is the highest common divisor of b and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 42*l**2 - 29*l + 6*l**2 - 37*l**2 + 38*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o + 5*o**3 + 12*o**3.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-4 + -3 + 5)**2.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5258022 divided by 478002?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313 and 8749.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 less than or equal to 230\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 47 = 5*j + 12, -5*j - 3*t = -3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*q**4 + 28*q**4 + 2*q**2 + 5*q**2 wrt q.\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - -496. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(2\/8). What is the nearest to -1 in n, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/85082 and -97\/246.\nAnswer: 10465086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.2 - 6.4. Which is the fourth smallest value? (a) i (b) -0.4 (c) 0.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -10 (b) -12921 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, -86, 1, 2 in increasing order.\nAnswer: -86, 1, 2, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**5 + 6390*d**4 - 32200*d**3 - 160350*d**2 + 32195*d + 153960 = 0?\nAnswer: -1283, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-7) - 32\/(-56). Solve 7 - f = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 25*n**2 - n + 20. What is f(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and 35\/948.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 21. Let i be b(8). Suppose -2*j - 2 = -i*j. What is the greatest common factor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 + 6*v - 2. Let j be l(6). Let r be 4 + (2 - 2)\/3. Suppose -4 = r*n - 0. Sort n, j, 1 in descending order.\nAnswer: 1, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*h + 2*u - 41, -3*h - 31 = -4*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3173*k**2 + 3565.\nAnswer: 6346*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 36. Suppose 3*q = f*n + 3, 1 = -n + 5*q - 16. Sort -21, n, -5, 1.\nAnswer: -21, -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13536 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 10417055?\nAnswer: -41668220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -343, -334, -349, -400, -499, -658, -889?\n\"Answer: -2*t**3 + 23*t - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -0.5, 13, -7, 1.6, 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - q**2 - 5*q**2)*(-q - q + 4*q + (44*q + 11*q - 11*q)*(2 + 2 - 1) + 3 - 3 - 2*q).\nAnswer: -132*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 - 3340.\nAnswer: -3339.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 - 0.07. Let u = c - -3.9. What is the third smallest value in -1, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 12*d - 16*d. Suppose d = -n - 4*h, 0 = n - 2*h - h - 11. Suppose -n*a + 13 = -4*a. Solve 4*c + a = 5*b, -2*c + b = 2 + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 474*k**3 + 4344*k**2 + 15360*k - 170496.\nAnswer: 3*(k - 148)*(k - 8)**2*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/(216\/(-2016))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 + 22*a**2 + 19*a + 2368. Let j(z) = z**3 - 7*z**2 - 6*z - 790. Give -19*j(o) - 6*v(o).\nAnswer: -o**3 + o**2 + 802","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 9*a**3 - 2*a**3)*(-3 + 2 + 2)*(-1 + a + 1).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.3 and -28243.\nAnswer: 1222921.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003011120 (base 4) to base 3.\nAnswer: 111221220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {u: 3, y: 4, n: 5, w: 3, e: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.5 - -28.5. Let y = 77.7 + m. Which is the nearest to 0? (a) -4 (b) y (c) -4\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-16) - (-19)\/4. Let r be w\/3 + (-4 - 52\/(-12)). Suppose 0 = 9*z - r*z - 476. What is the remainder when z is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39941.05mm to nanometers.\nAnswer: 39941050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*r - 23, -54 = -2*h - 3*r - 65. What is the closest to -0.2 in 5, h, -4.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 178. Let m = 174 - o. Sort 38, 1, m, 0 in increasing order.\nAnswer: 0, 1, m, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 + 3*x**3 - 15 - 6*x**3.\nAnswer: 2*x**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(114)*1)\/(-1*sqrt(12)\/sqrt(2)) + (sqrt(76) - 3*(0 + sqrt(76)) - 2*(0 + sqrt(76))).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-81)\/(-189) - (-2136673)\/49 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 358*q**3 + 11792*q**2 + 3196168*q.\nAnswer: -2*q*(q - 89)*(q + 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 16*m**2 - 854738*m + 106842 = 0.\nAnswer: 1\/8, 53421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:13 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6858, -6828, -6680, -6354, -5790, -4928?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/8975 and -56\/325.\nAnswer: 116675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7314800.\nAnswer: 2, 5, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let u be i(-3). Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -9*f**6\/5 - 11*f**3\/6 - 2*f + 3. What is the second derivative of m(d) wrt d?\nAnswer: -648*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -154. Let t(p) = p**3 - 5*p**2 - 6*p + 4. Let r(i) = -i**2 + 1. What is q*t(j) + 5*r(j)?\nAnswer: -j**3 + 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -625\/3 - -208. Let d be 2\/7 - (-116)\/84. Put d, -2, a in decreasing order.\nAnswer: d, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 5*f. Let s be (6\/(-44))\/(f\/(-16)). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 28600?\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12765 is divided by 319.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*z - 5*y, -4*y + 4 = 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 12540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -28\/1313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 5684.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 310\/24 + (-2)\/(-24). Let b(t) = 3*t**2 + 2*t - 1. Let d be b(-2). Suppose g + 1 - d = 0. Solve -7*v - h = -u*v - g, -h = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*t - 20 - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-16))\/(a*a*a**(-2\/49)*a))\/(a**(-8\/11)\/(a\/a**(2\/47)*a*a)))**(38\/5) assuming a is positive.\nAnswer: a**(17063558\/126665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15595, -15610, -15625?\nAnswer: -15640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 4778.74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074 is divided by 95.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 25. Let f(d) = 4*d**2 - 1. Let m be f(1). Let x = m - 3. Solve x = l - 6*l + b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 263, 132, -19, -196, -405, -652, -943?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22097 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-270))\/((-16)\/((-144)\/(-129)))?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 68 = -5*j. Let f be 1\/(2\/j*-2). Suppose -6 = -2*c - 5*n, 2*c - f*n - 3 = c. Solve 0*a = c*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 12*v**6\/5 - v**4\/4 - v**3\/6 - 2*v - 15. Find the third derivative of z(d) wrt d.\nAnswer: 1728*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3398, 3248, 3006, 2678, 2270, 1788, 1238, 626?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6 and 5 + (-369)\/60*14\/21?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*f - 8*f + 4*r, -5*r + 20 = -5*f. Suppose f = 12*y + 33 + 27. What is the second smallest value in 2\/117, 2\/7, y?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*-2*(sqrt(468) + (-1 + sqrt(468) - sqrt(468))))**2.\nAnswer: -288*sqrt(13) + 11256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.05 + -0.05. Let a = -5 - -5.33. Let k = 0.03 - a. What is the closest to 4 in k, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075055 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*y**2 - 4*y - 144?\nAnswer: -52*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by -5.\nAnswer: -196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753144169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((-91)\/(-273)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 7. Let f be -6*((-1)\/(-3) - r). Suppose -5*b - 4210 = -f*t - 1680, 2546 = 4*t + 3*b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, f: 11, o: 1}. Give prob of sequence qfof.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454688, -4\/5, 38.\nAnswer: -4\/5, 38, 454688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.7 + 26. Let n = -16702 - -16706. What is the biggest value in 39\/8, n, q?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 28*g - 4. Let p be (g\/3)\/(11\/(-264)). Which is smaller: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 35*g - 186. Let z be (-42)\/(-7) - 6 - -28. Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 33*g**2 - 33*g - 32. Calculate q(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 72. Let x(c) = -8 - 3*c + 22 - 2*c**2 - p. Let t = -31 + 27. Determine x(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 f when four letters picked without replacement from zfzfzffffff?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (9\/(-6) - 1556\/8). Let l = p + -189. Solve -k + l = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -484*v**3\/9 - 1711204*v**2\/3 - 1512224640*v + 13615155856\/9 = 0.\nAnswer: -58342\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2758 - -3803.5242. Let h = 3806.7997 - t. Let n = 2 - h. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*k + 44 = 4*u, 4*u - 2*k = 44. Does 23 divide (u\/(-10))\/(3\/(-230))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.85998 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 1238414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:18 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*r - 497 = 251, 3*d - 565 = 4*r. Let o = -138 + d. Solve -o*y + 15 = -50*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0323081+46.06\nAnswer: 46.0923081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, 710, -9\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1\/2, -5, 0.128.\nAnswer: -5, 0.128, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 3) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 10. Let f(i) be the second derivative of i**3\/6 - 5*i**2 - 3*i. Let h be f(7). Put s, h, 3 in decreasing order.\nAnswer: 3, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339779802.\nAnswer: 2, 17, 68817053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 (base 12) in base 8?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3421206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 21*j - 114. Let k be t(-26). Solve k = 11*m - 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 170 + (-2)\/(-1) + -2. Let w(i) = -i**3 + 6*i**2 + 7. Let h be w(6). Suppose 2*m = h*m - u. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -115. Let o = p - -41. Which is the nearest to o? (a) 4 (b) -0.4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 25 = -3*y + 57 - 45, 0 = -g + 6*y + 100 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*18\/30 - 6. Suppose -2*z = 2*z - 4. Sort -24, z, g in descending order.\nAnswer: g, z, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.89 + 0.11. Let k = v - 3.6. Let r = 8\/109 - -146\/981. Which is the second biggest value? (a) r (b) k (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-35)*5 - (-315)\/(-324). Let g(y) be the second derivative of -1\/45*y**6 + 0 - 1\/6*y**3 + 1\/6*y**2 + t*y**4 - y + 1\/20*y**5. Solve g(b) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5201 by -743.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 >= -677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010385 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/289, -0.3, 33?\nAnswer: 1\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(3\/4)\/((f\/f**(2\/13))\/f*f**(2\/5)))**44 assuming f is positive.\nAnswer: f**(-704\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17131 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 42*j = -2535. Suppose 2*s + 0*s = 18. Suppose 4*q = 5*x - 2*x + 40, -q + x = -s. Calculate the greatest common factor of j and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210627.694 + 5.8\nAnswer: 210633.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:00 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100000100110101011 (base 2) to base 9.\nAnswer: 2201510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**3\/6 + 25*h. Let i(x) = 91*x**2. What is z(i(l))?\nAnswer: 91*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-5)*(u**1)**(2\/11) assuming u is positive.\nAnswer: u**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -661*g**2 - 109*g + 105. Determine p(1).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 594826693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(5*z - 6 + 9 - 6).\nAnswer: 5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*5\/(-60)*(-2)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 111*a - 536. Let j(d) = -7*d**2 + 252*d + 1072. Let u(x) = 2*j(x) + 5*r(x). What is u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -9) + (46\/5)\/((-252)\/(-90)). Which is the nearest to -2\/5? (a) -44 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -72*z**3 - 36 - 135*z**2 - 38*z - 72*z - 7*z**4 - 2*z**4 - 10*z + 12*z**3 = 0.\nAnswer: -3, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k. Let r(s) = -22*s**2 + 6*s. Give u(r(y)).\nAnswer: 88*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(44) + -1 + -1 + 2 - (sqrt(220)*-1*2)\/((sqrt(125) - (sqrt(125)*-2 - sqrt(125))) + sqrt(125)))**2.\nAnswer: 108*sqrt(11)\/25 + 32701\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/6690 and 17\/2676.\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882.0406 weeks to microseconds.\nAnswer: 533458154880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*p**3 - 43*p**3 - 108*p**3)*(-1 + 2 + 1)*(-12*p - 28 + 28) to the form f*p**4 + b*p**3 + r + u*p**2 + v*p and give f.\nAnswer: 3144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(576)\/(sqrt(72)\/sqrt(6)))\/sqrt(12))\/((sqrt(72)*1 + sqrt(72))*-2))**2)*3.\nAnswer: 577\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13406424910 rounded to the nearest one million?\nAnswer: -13406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -t - 2*r + 17, -5*r + 110 = 5*t. Let z be 3\/(-27) - 105\/t. Which is greater: z or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -312265\/27 - -11564. Calculate the common denominator of k and -22 - -28 - 73\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*y + 128*y - 102789 = -122*y. Calculate the lowest common multiple of y and 282.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - 0 - -2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2196 - 2195. Which is the nearest to -0.1? (a) -2\/7 (b) 10 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (136 + -2 - 44)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639 - -640. Let q(b) = -b - 1. Let y(t) = 6*t + 6. What is p*y(a) + 4*q(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*f**2 - 15*f**3 + 45*f**2 + 711*f + 1329 - 1329 wrt f.\nAnswer: -90*f + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186 - 379 - -220) + (0 - 62)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 7. Suppose 4*u - 5 - 4 = -w, w + 18 = 5*u. Let k = 3 + u. Let g be v(k). Solve x + 4*n = -4 - 5, -g = n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884, 876, 868, 860, 852?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-6)\/100*44\/(-484)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 5*p + 12*p + 7*p + 22*p in the form x*p + b and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 97 = 39. What is the highest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q - 2*q**3 + 0 + 2 - 10 + q + 27*q to the form o*q**2 + i*q + v + b*q**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 8*q + 8. Suppose -10 + q = 3*z, 2*z - 280 = -2*b. Let k = b - -65. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:13 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - 136415?\nAnswer: -136453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115589806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 47. Suppose -15 = 8*k + 129. What is the remainder when r(k) is divided by -1*(-26 + (-2)\/2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*a + 7, 1468*a - 2*w - 14 = 1472*a. Solve a = -35*c - 132 - 148 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/5 - 2*m**3\/5 - 21*m**2\/5 - 18*m\/5 = 0. What is m?\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.3, -81, -2\/13 in decreasing order.\nAnswer: -2\/13, -1\/4, -0.3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157\/30 + -76\/15. What is the third smallest value in h, 282, -0.5, 2, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -574*s**3 + 2*s**2 + 8. Let o(r) = 860*r**3 - 3*r**2 - 11. Let z(c) = 5*o(c) + 8*w(c). Find the third derivative of z(x) wrt x.\nAnswer: -1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/15 + (-288)\/(-108). Let n = -15 + 14.93. Let s = 0.13 - n. What is the nearest to -1 in r, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 125797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 3)*(-4*y - 2*y + 7*y) + 13*y - 52*y + 118*y in the form d + l*y and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/54 and -19\/823686.\nAnswer: 7413174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/x)**(7\/10) assuming x is positive.\nAnswer: x**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3083648 nanometers in centimeters?\nAnswer: 0.00000003083648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 20*p - 34. Calculate c(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -253, -252?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*g + 41 - 145, 4*g - 68 = 4*z. Let q = -12 + g. Solve -5*u = -q - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16066 and 13717?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h*j**2*s**3 + 3*h*j**2 - 6*h*j*s**2 + 3*h*j*s + 20217*h*s**3 + h*s + 5*j**2 - 116 wrt s.\nAnswer: 42*h*j**2 + 121302*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -1021261\nAnswer: -1021215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5000, 5358, 5902, 6632?\n\"Answer: 93*h**2 + 79*h + 4828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(0 - 6 + 2) + 902 - 902 + 94*i + (1 - 6 + 4)*(-3*i + 3*i - i).\nAnswer: 87*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052671687 rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 0 - 4554*w**3 - 4523*w**3 + 0.\nAnswer: -9077*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Find the second derivative of 2*y**5 + i*y**5 - y - y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 47. Let k = -24 + j. Which is the smallest value? (a) -2\/5 (b) k (c) -5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150350*l - 72360 = -151556*l for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f + 14. Let s be o(6). Suppose -17*w + s*w = -60. Let h = -1 - -3. Calculate the smallest common multiple of w and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 14.1. Let w = -12.896 + -0.104. Let o = h - w. What is the fourth biggest value in o, 2, -0.2, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424138038 a multiple of 573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.5 + -3.5. What is the third biggest value in 1, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(-1 - 11*i + 1) - i + 3*i - i + (3*i - i - i)*(0 + 1 + 2) in the form q + o*i and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) -3 (c) -4.4 (d) -0.2 (e) 127 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 17534 = 36*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 820*n + 20515. Calculate w(-25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:00 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.3 (b) -1.4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 + (3 - 3) + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -16, -55, -130, -253, -436, -691, -1030?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, n: 2, d: 1}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 878*i - 698*i + 2685*i - 2050501 + 2050500 as o + c*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose -n*m = -m - 12. Let b(w) = -w**2 + 3*w - 1. Determine b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1751 (base 10) to base 16.\nAnswer: -6d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 9*y + 24. Let z = 58 - 52. Calculate the remainder when 33 is divided by f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1.083, -1\/3, 1\/245, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14154, -28379, -42604, -56829?\nAnswer: -71054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/832 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 - 5 + 7 + 0*n + 2*n + 10*n**2 - n**3. Calculate x(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -730928.32 to the nearest ten thousand.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 5*f**2 - f + 9. Let q(a) be the third derivative of a**6\/120 - a**5\/20 - a**4\/24 + 5*a**3\/6 - 4*a**2. Give -3*d(m) + 5*q(m).\nAnswer: -m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 57049464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 16) + -57 + (4 - -74)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 10*b**3\/3 + 10*b - 8. What is the first derivative of z(h) wrt h?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2274932.4 months?\nAnswer: 189577.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200 + 140 - -350) + -153.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138 - 4 + 73)*(2 - 2 - 2*w) in the form y + d*w and give d.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10881106928942 minus -0.59?\nAnswer: -10881106928941.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-19 - (-38 - -6)) + 1 + -115\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n**2 + 3*n)*(0 + 0 - n**2) - 2*n**4 + 3*n**4 + n**4 + (-n**2 + 3*n**2 + 0*n**2)*(-6*n + 7*n - n**2 + 2*n).\nAnswer: n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -214?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.3 + 3.4. Is 0 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4805446 to the power of 1\/2, to the nearest integer?\nAnswer: 2192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98887 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2. Let w(i) = i**2 - 2*i - 2. Let y(z) = -z - 1. Let j(c) = -3*w(c) + 6*y(c). Calculate j(v(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183713530 is divided by 61237842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13170 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/5, -752?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-1))\/7 + 105\/(-27)*(-36654)\/28310\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*z = 22, -3*z + 11 + 13 = -5*n. Let f be (-34)\/n*(-3 - -6). What is the common denominator of 25\/12 and 4 - f\/(-4) - 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4086, 4094, 4114, 4152, 4214, 4306, 4434?\nAnswer: 4604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -100221012201 (base 3) to base 15\nAnswer: -3ce01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.08, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 9 + 3. Suppose -8\/3*p**3 - 6*p**5 + 0*p**2 + 0*p - 8*p**m + 0 = 0. Calculate p.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from wwsxxwwccsuscuxsscw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*b - 56*b + 24*b + (4 + 1 - 1)*(-3*b + 5*b - 3*b))*(5 + 3 - 6)*(0 + 0 + 1).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 62309.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwabwbc. Give prob of picking 1 a and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 38*z + 2*z**2 + 38*z + z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000718358556 rounded to 7 decimal places?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 240566000 to the nearest 1000000.\nAnswer: 241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 at most -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 20 (b) -4\/45 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + 2*g + 12. Let y = -1737 + 1738. Let u(r) = -1. Determine y*q(f) + 12*u(f).\nAnswer: 6*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*a + 30304 = 5579 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*h + 14 = 0, -3*w - 1252*h = -1254*h + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42\/5 + 44\/5*l**2 - 17*l - 1\/5*l**3.\nAnswer: -(l - 42)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1009, -1027, -1045, -1063, -1081, -1099?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -983*x**2 + 42459*x + 27. Let i(m) = -245*m**2 + 10615*m + 6. Let t(y) = 9*i(y) - 2*k(y). Find the second derivative of t(z) wrt z.\nAnswer: -478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*g + 3*y - 9, -4103*y - 81 = -4112*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24616396 and 3367?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 179 - 512 + 178 + 6*d**3 + 171.\nAnswer: 3*d**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -99810000 to the nearest one million.\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2720 and 31\/1368160.\nAnswer: 1368160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/960 and -19\/720.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2264.003803 - -2264. Round h to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*19\/9386*-19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103133013 (base 5) to base 6\nAnswer: 13254215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 >= -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 16997*p\/2 - 1095382\/3.\nAnswer: -(p + 43)*(p + 50948)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846674 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -193. Let h(l) = 2*l - 5. Let j be h(4). Let x be (18\/3)\/j + 10. Calculate the highest common divisor of x and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -129 and 1000.\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/46233 and -26\/9807.\nAnswer: 323631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 2022\/294)\/(2 + -24). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r. Let v(a) = -8*a**2 - 5*a**2 + 17*a**2. Give v(i(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) + (sqrt(2) - sqrt(18))*-5 - sqrt(2)) - 6*sqrt(2)*1 - -2*(((sqrt(2) + sqrt(32))*2)**2 + sqrt(2)).\nAnswer: 7*sqrt(2) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/4489?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 11*i + 32. Suppose -44*r + 46*r - 22 = -5*u, r = -3*u + 12. Determine m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1292, -5667, -13128, -23675, -37308?\n\"Answer: -1543*m**2 + 254*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7577052 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 3\/2 (b) -0.04 (c) 2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 164.9 from -0.3263.\nAnswer: -165.2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 2. Let j be q(-1). Let y = 7 - 6.7. Let f = 0.2 - y. Is f >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 370559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 960120397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4387*s**2 + 999*s**2 + 3360*s**2 - 377*s**2.\nAnswer: 8369*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**3\/3 + 11*s**2\/2 - 26*s - 2003. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 41827255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - -32) - (-1728 - -1718)) + -35\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725640.\nAnswer: 2, 3, 5, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -240?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041 is divided by 454.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859255775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116957*i**3*t - 52*i**3 + 3*i**2 + i + 75 wrt t?\nAnswer: 116957*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*o = 85*o - 4*x + 20, 5*x = 4*o - 29. Which is the third smallest value? (a) o (b) -1\/4 (c) 1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/181666758 and -107\/78?\nAnswer: 181666758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 + q. Let r be x(1). Let z = -1178 + 1179. What is the greatest common factor of r and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6373664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let t be m*(2\/(-14) + 0). Let q = 9641\/17 + -567. Which is the third biggest value? (a) 4 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 304686227 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 17*b + 66. Let k be g(5). Let d(q) be the third derivative of 0 + 0*q + 0*q**4 + k*q**2 - 2\/15*q**5 + 1\/6*q**3. What is d(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 - -7) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 263520 and 273036?\nAnswer: 98292960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 88.00000142. Round t to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49367325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 5, h: 2, q: 1}. What is prob of sequence qu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -59. Let t(p) = -n + 4 + 0*p - 5*p. Let z be t(0). Solve z*w - 2*v + 17 = -0*v, -5*v + 10 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 0.1, 18151, -3\/2 in descending order.\nAnswer: 18151, 0.1, -3\/2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2627 and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d. Calculate g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 773732 * -0.07.\nAnswer: -54161.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32 + -6*(-8)\/(-12). Let l(y) = -3*y - y**2 - 25 + c - 3*y + y. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 101. Let p(v) = -v**3 - 19*v**2 - 17*v + 22. Let i be p(-18). Determine l, given that 0*l**3 + 2\/7*l**5 + y*l + 0*l**2 + 0*l**i + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-28))\/2*2\/3. Suppose 2*g + 2 + 0 = 0. Which is the nearest to 0.1? (a) -2 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584))**2 + -1 + 2 + (sqrt(11) + sqrt(99) + 2 + sqrt(11) - (4 + sqrt(11)*-3))**2.\nAnswer: -32*sqrt(11) + 7045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11887192 divided by -1485899.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012002102010 - 2212?\nAnswer: 21012002022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 119*m + 60*m - 780 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 2*o + o + 2*o. Let y be ((-28)\/(-16) - 2)\/((-1)\/16). Calculate x(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*i - 69, -2296*i + 24 = -l - 2294*i for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*x = -2*l - 26, 3*x + 25 = 2*l. Calculate the remainder when 604 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376066, 376063, 376058, 376051, 376042, 376031, 376018?\nAnswer: 376003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 5. Let u be q(12). Let k = u + 10. Let s = k - -88. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14 - 18 + 9 + 9*s - 4*s + s**2. Let w be c(-4). Let b(a) = 50*a + 2. Does 26 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 2\/3, 1, -5\/27, -7 in descending order.\nAnswer: 1, 2\/3, -0.1, -5\/27, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2910, -22970, -77376, -183288, -357866, -618270, -981660?\n\"Answer: -2860*l**3 - 13*l**2 - l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qji when three letters picked without replacement from jqdqirqqqr.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-26))\/((-182)\/(-60333)*561)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**3 - 11*j**2 + 10*j - 11. What is v(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 times 0.05?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2113 or -2138?\nAnswer: -2138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffkkikuf. What is prob of sequence kik?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938 and 126898.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + 1)*-4*-5.\nAnswer: 20 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 - 2048*m**3\/21 + 24868*m**2\/3 + 39216*m\/7 - 19494\/7 = 0. What is m?\nAnswer: -1, 1\/3, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(152) + (sqrt(152)*1*3 - sqrt(152) - sqrt(152)) + 2*sqrt(152)*-6))\/(-4*3*(sqrt(800) + (sqrt(800) - sqrt(800)*-1))))**2.\nAnswer: 475\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 392 + 531. Does 47 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -14 + (7 + 3 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 501, 37, 0.4, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0431 and 1079.\nAnswer: 1078.9569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506491228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6904274?\nAnswer: 2, 13, 37, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25654 + -25654. Which is greater: g or 2691?\nAnswer: 2691","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by -146.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21388?\nAnswer: 2, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 46.\nAnswer: -5, -4, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9.5. Which is the third smallest value? (a) 0 (b) -0.4 (c) 12 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/(z\/z**(-3\/2))))))**11 assuming z is positive.\nAnswer: z**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5*t + 6. Let d be o(7). Let v(h) = -h + 7. Let g be v(d). Solve 0 = p + 2*p - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -43*k**2 + 0 - 1\/6*k**3 + 24\/5*k**5 + 98*k - 1\/6*k**4. Find the second derivative of u(o) wrt o.\nAnswer: 576*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) -7\/2 (c) -13\/7 (d) -34 (e) 0.3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 34*j**2 + 27*j - 12. Let l = -61 + 95. What is the hundreds digit of b(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 18*b - 13. Calculate d(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*l + 8. Let k = -7 - l. Let q be 2000\/((k\/4)\/(-5)). What is q rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 39945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 7*r**2 + 2*r**3 + 8*r + 0 - 1\/6*r**4. Factor i(t).\nAnswer: -2*(t - 7)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a + 2708397?\nAnswer: 2708466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:50 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 782*j + 26 = 783*j, -h + 0*h - 2*j + 91 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -298057080 divided by -12126?\nAnswer: 24580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or 6166\/35?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1914 and 28710?\nAnswer: 28710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5832 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782583952, 782583951, 782583950?\nAnswer: 782583949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 41.5. Let n = 0.1 - 0.1. Which is the closest to n? (a) -3 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prtt when four letters picked without replacement from {r: 4, e: 1, v: 2, t: 3, b: 2, p: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43012?\nAnswer: 2, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:32 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1427*d**3 + 24*d**2 + 27*d + 3. Give p(-1).\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, -1528, -5, 1\/8, -4 in decreasing order.\nAnswer: 1\/8, -0.4, -4, -5, -6, -1528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2*g - 6. Let n be z(-3). Let k be 1\/((-8)\/(-5) - n\/15). Is (k + -4)*((-18460)\/(-6))\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9454902.\nAnswer: 2, 3, 1575817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3407.\nAnswer: 5\/3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r + 41. Let l be i(3). Is 2\/(-4) - (-700)\/l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 6*k = -1050. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - 0 - (494 - 509).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 30\/23 (c) 38.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -214245 minus -1?\nAnswer: -214244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2289, 0, -7, -0.2, 2, 2\/5?\nAnswer: -2289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnxnxnxxx. Give prob of picking 3 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -316761048953.\nAnswer: -316761048950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d = 0. Let a be 1\/(-6) + 2\/4. Let w = 5725\/4 - 1432. What is the biggest value in d, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 26 = 2*v - 3*o, -v = -3*o - 11. Let p = v - 34. Let g = p + 59. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13762 to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 + 2284249*l**2\/3 - 9136993*l\/6 + 761416.\nAnswer: -(l - 4568496)*(l - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 2 (c) -181 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = 2*m, -5*v + 2*m + m = -26. Solve 3*i + a = 11, v*a + 2 = 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38000971 to the nearest integer?\nAnswer: 6164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/9 - 926*q**2 - 2*q\/9 + 926 = 0. Calculate q.\nAnswer: -1, 1, 4167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872 - 896 = 3*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16054 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1231588503 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -8*f + 36. Solve -2*x = -j + 6, f*x = -4*j - 11 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36620 (base 9) in base 3?\nAnswer: -1020200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 22 = 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70465, 70472, 70491, 70528, 70589, 70680?\n\"Answer: d**3 + 70464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -91 in decreasing order.\nAnswer: 7, 5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czupzzrpzezpz. Give prob of picking 1 e and 1 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**3 - 17*j**2 - 12*j + 2. Let l(z) = -z**3 + z**2. Let x(s) = c(s) + 6*l(s). Calculate x(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1146618432 divided by -6.\nAnswer: 191103072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1646791108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*((t\/((t**(-8)\/t)\/t))\/t*t)\/t)\/t)\/t)**(-25\/7)\/(t**(1\/11))**(2\/13))**15 assuming t is positive.\nAnswer: t**(-482835\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*c**3*i**3 + 7*c**3 + 25*c**2*i**5 + 203*c**2*i - 3*c**2 + 2*c*i wrt i.\nAnswer: -138*c**3*i + 500*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 3.2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*b + 53 = -4*b, -4*a + 40 = -2*b. Let s(z) = 15*z - 22. Let f be s(a). Suppose 25 = 5*x, 47 = 5*w - 2*x - f. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v - 28*v - 9*v + 0*v.\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278888?\nAnswer: 2, 127, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3722*k - 4460 - 2482 = 3900*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637089.\nAnswer: 3, 19, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 196, 275, 376, 493, 620?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -28 + 2*q + 1\/6*q**3 - 3\/2*q**2. Let g(i) = -6*i + 14. Calculate -3*g(k) - 14*w(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/3 - 4972*r**2\/3 + 3324*r + 4980 = 0. What is r?\nAnswer: -1245, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + a39442?\nAnswer: a39444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 438?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 412. Is (-9)\/(-6) + l\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484316543?\nAnswer: 6484316543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*n*y*z - 5*f**2*n + f*n*y + 9*f*n*z**2 - 3*f*y*z**2 + 3*n wrt y.\nAnswer: f**2*n*z + f*n - 3*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4525 (base 14) to base 15.\nAnswer: 7c59e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a = -65*a - 15, 6*o = 9*o - 48*a + 39 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**4\/2 - 5*b**3.\nAnswer: -b**3*(7*b + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 283140?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -6 (c) -1\/497 (d) -0.5 (e) -302 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 40. Let d(g) = -188*g - 11380. What is the remainder when d(-61) is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1165, -1168, -1173, -1180, -1189, -1200, -1213?\n\"Answer: -m**2 - 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8417165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*s - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 107 = 5*l + 113, 0 = 2*l - 2*i + 6. Solve 4*o - 9*o - 2*r = 5, -2*o - 3*r + 9 = l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1703, -4 in decreasing order.\nAnswer: 1703, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 3*s**2 - s - 3. Let g(y) = -2*y**3 + 3*y**2 + y + 4. Suppose -32 + 17 = -5*a. Give a*g(z) + 4*m(z).\nAnswer: 2*z**3 - 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 7)\/10 + 529*2. Suppose a*o - 27720000 = 1063*o. Round o to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 181, 3.\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 - 3*t + 4. Determine i(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 34*g + 474. Calculate the remainder when 296 is divided by a(-44).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.19 (b) -16 (c) 11 (d) 2\/21 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/3 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 22*o + 3. Let n be b(-11). Suppose 0 = -n*q - 6, 5*a + q - 18 = a. Solve -a*h = 6 - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 1. Suppose -2*w = -3*w - 3. Let t(m) = 2*m**2 + 5*m - 2. Let v be t(w). Let y be -2 + (v - 2 - -1). Determine c(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152262423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 + 124*r**2 - 48*r - 102. Determine x(41).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141960506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -196, -195, -194?\n\"Answer: u - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/5))**(1\/10)\/((r\/(r**(4\/3)\/r))\/((r*r**(-7\/4)*r)\/r*r)) assuming r is positive.\nAnswer: r**(-83\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1127\/184*(-4)\/6 - -4.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 810 + -797 + -15 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -22. Is -4 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 3*l + 6. Let g be n(-3). Solve -4*s + g = -4*w - 2*s, -2*w = -4*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 21. Let m be -1 + (s - -6) + 89. What is the highest common factor of 31 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 51182207 and -1.01406?\nAnswer: 51182208.01406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 135961401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2805 (base 16) in base 15?\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1 - 0 - 0). Suppose 0 = 5*p + 1 - 26. Let w = -557 + 557. Sort n, w, p in descending order.\nAnswer: p, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22)\/(((-4440)\/(-88726))\/6)*-5.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 10*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110807298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 24*t**5\/5 - 14*t**3\/3 - 37. What is the third derivative of n(r) wrt r?\nAnswer: 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - p - 4*p + 8 = 0, -8 = -2*j - 2*p. Let x(b) = 3*b + j*b**2 - b**2 - 6 - 2*b**2. Is x(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31570, 125534, 282140, 501388, 783278, 1127810?\n\"Answer: 31321*s**2 + s + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4348*c + 4357*c = 27. Let h = 6 - 4. Solve c*d = 5*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-4)*l)\/l)\/l**(3\/7))\/(l**(-1\/4))**(-46)*(l*l\/l**(-1)*l)\/(l\/(l\/(l*l*l**(-7)\/l*l)*l))*l**0*l**(2\/11)*l assuming l is positive.\nAnswer: l**(-577\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.16122 or 1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 8:32 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**5\/20 + 5*r**4\/6 + 13*r**3\/6 - 7*r**2 - 77*r. Determine b(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfcc when four letters picked without replacement from nfccf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/27)\/(a\/a**(-3))*a*a**(-2)*a**2)**(-1\/6) assuming a is positive.\nAnswer: a**(79\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 3*t - 6. Let g(o) = -o**2 - 8*o - 5. Let m be g(-6). Let a(h) = -h + 2. Let p be a(m). Let s(y) = -y**2 - y - 1. Give p*s(b) + w(b).\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-1867 - 106*i + 1867)*(0 + 3 + 0)*(0 + 0 + 3*i)*(2 + 1 - 2).\nAnswer: -2862*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*7 + 3 - -2. Let m be ((-11)\/(-3))\/((-10)\/r). Let t(p) = 19*p - 10*p - m*p. Let k(u) = -2*u**2. What is k(t(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 + 237. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5 = -f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6426)\/84)\/(-51))\/(3*((-9)\/30)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 96987 + 95248 = 0 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(-31) assuming l is positive.\nAnswer: l**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 35. Suppose v*g = z - 82, 0 + 38 = -2*g + 2*z. Let k = -18 - g. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2544.393km to centimeters.\nAnswer: 254439300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11753688 and 0.064.\nAnswer: 752236.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 85.47. Let m = 0.07 - n. Which is the nearest to -1? (a) -0.2 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1838 - -2729. What are the prime factors of u?\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 14993 = -2624. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 7\/2, -86, -7, -0.0503, -1\/6?\nAnswer: -0.0503","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**2 + 524471*j + 0*j**2 - 524471*j - 5 - 4*j**2.\nAnswer: 13*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -4*c. Suppose -4 - 2 = 4*f - 2*w, 0 = -c*f - 2*w + 13. Is 1\/2 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4*y - 11. Let i be t(3). Let j = -2886 + 17453\/6. Calculate the common denominator of j and (345\/175)\/(i\/20).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (1 - (1 - -9))) + 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 170 = 118. Solve x*o - 12*o + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90000, -93231, -96462, -99693?\nAnswer: -102924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1889, -4, 20, 1\/7 in descending order.\nAnswer: 20, 1\/7, -1.1889, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 + 8*z. Let k be d(6). Suppose -13 = k*m - 277. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 4*h - i + 15 = 0, -3*h = 2*i + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -0*j + 2*a + 25, 0 = a + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -199, -5, 4, 7 in ascending order.\nAnswer: -199, -5, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -274*i**2 - 56 - 47 - 147*i + 7 - 45*i. Let b(m) = -91*m**2 - 64*m - 30. Let h(p) = 16*b(p) - 5*f(p). Find the second derivative of h(u) wrt u.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9632 and 48928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 + s**2 + 4*s - 5*s + (2*s - 1 + 1)*(-2 - s + 2) to m + z*s**2 + c*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 3*w + 5. Let u be q(4). Suppose -3*s = -u - 8. Let n be s\/(-12)*2*6. Sort -0.5, 0.4, n in descending order.\nAnswer: 0.4, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 368929157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.24, 0.3, -7.337014?\nAnswer: -7.337014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((-6*-2*sqrt(5) - (sqrt(605) + 0))**2 + 3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-15) + (-1)\/(-3). Suppose -g - 64 + 176 = b. Suppose -5*p = 4*r - g, -2*r - 87 = -5*r - 3*p. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91781 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 3.482007248 rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -70748 take away 47185?\nAnswer: -117933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/12 - u**3\/3 + 161*u**2\/2 - 8*u. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 21038046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40974*h**3 - 13625*h**3 + 3*h**2 - 3*h**2.\nAnswer: -54599*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -5. Let d(b) = b**3 + 6*b**2 - 10*b + 1. What is the smallest common multiple of d(-7) and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83.673*-1130.\nAnswer: 94550.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27767187 - 27767187 + 746*i to l + h*i and give h.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -26 - 9. What is the biggest value in 0.2, 7, x, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 + (-181 - -81) - (42 + -3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 62 + 92*j**2 + 240*j - 3 - 8*j**2 + 8*j**3 = 0 for j.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4100 + -5?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from nnnll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1520*k**2*o**2 - 303*k**2*o - 2*k*o**2 + o**2 + 73*o wrt o?\nAnswer: -3040*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10753597 is divided by 1600?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -260 (b) -5 (c) -2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 331*j - 115. Let t = -190 - -196. Is o(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 5. Suppose 3*x - 3*h = -0*x + 3, 3*x - 23 = -h. Is 2 a factor of j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6892621 = 20773117. Let d = i - -570124. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z\/(z*z**(-4)\/z*z*z)))\/z)\/z**(-2\/29))**1*((z**(-3\/4)\/z*z)**4)**(-11\/6) assuming z is positive.\nAnswer: z**(265\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 399*x + 21682. Determine q(-245).\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*k = 4*c + 76, 95 = 5*k + 5*c. Suppose k*x = 24*x + 45. Are x and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:29 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**4. Let b(k) = -4*k + 5. Let l(p) = -5*p + 6. Let n(h) = 6*b(h) - 5*l(h). Let c(j) = -3*n(j) + t(j). Find the second derivative of c(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12244, -11328, -9802, -7666, -4920, -1564, 2402?\n\"Answer: 305*t**2 + t - 12550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 76725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.6 from 40.7.\nAnswer: 72.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*q - t - 57, 0 = 4*q + 4*t - 88. Let u = -10 + q. Find the second derivative of 5*c**2 - 4*c**2 + u*c - c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13e8bd + -d8?\nAnswer: -13e9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3493.4 - -3493. Sort 3, 7, 4, g.\nAnswer: g, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*238\/272.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001 - 11021?\nAnswer: -100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5117489, 2 in descending order.\nAnswer: 2, -3, -5117489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*m + 22, -3*u - 12 = -2*m + 10. Suppose 20 = -4*k, -3*r + m*r - 110 = -k. What is the greatest common factor of 161 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -454 in -38553, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -132, -198, -264?\n\"Answer: -66*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 4. Solve 0 = z*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 920.99997135 + -921. Round o to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sns. What is prob of sequence ssn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*o - 720, o - 2*v = 5*o + 594. Let q = o - -150. What is the smallest common multiple of q and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56636836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3578 * 0.067.\nAnswer: -239.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t - 1)*(-2*t + 0*t + 0*t)*(-12*t**3 - 3 + 0 + 16*t**3).\nAnswer: -8*t**5 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 299179 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/(-45))\/(-7) - (-80)\/612)*9.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24438 + -17128. What are the prime factors of v?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 37*f**2 + 49*f - 1380. Calculate u(36).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 9*u + 22*u + 629 = -28*u, -2*w - 5 = 2*u + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764432 divided by -3248?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 13*o**2 - 23*o + 13. Let r be y(11). What is the smallest value in -5\/2, r, 26?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3123 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {o: 8, l: 1, j: 4, a: 1, c: 1, h: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954694273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9800*f**2 - 577*f**2 - 2*f + 3*f.\nAnswer: 9223*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k - 3 + 3)*(0*k + 2*k + 0*k) + (4*k - k - k)*(2*k - 4 + 4) + 18*k**2 + 12*k**2 - 29*k**2 to j + a*k**2 + n*k and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 39*n - 24*n + 12*n.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(637) - (sqrt(637) - (-1 + sqrt(637)))))**2 - (3*sqrt(26)\/sqrt(2) + -2*sqrt(52)).\nAnswer: -55*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 691*a**2*m**3 + 5*a**2*m**2 + 26*a**2*m + 507*a**2 + 3*a - 523*m**3 + 3 wrt m.\nAnswer: 4146*a**2*m + 10*a**2 - 3138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -3, 0 = 3*p + 2*i - 2. Suppose 5*z + p*y = -4*y - 57, -5*z + 3*y - 36 = 0. Let n = 4 - z. Calculate the highest common divisor of 117 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35476 is divided by 124.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/136 and -35\/4?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 2 + 5 + 10 - 8 - 101*a to c*a + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1504, 12039, 40628, 96295, 188064, 324959, 516004, 770223?\n\"Answer: 1504*y**3 + 3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*-31.70618\nAnswer: 380.47416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6047716 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 413?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 53*g - 603. Let k be v(-37). Suppose 15 = 5*x + 35. Which is the nearest to k? (a) -2\/21 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from {t: 1, b: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -1 - 3, -13 = -s - 3*y. Let z(f) = 5 - 3*f + 5*f + f - 2*f. Let r(k) = 16 - 4*k + 8*k + 0*k. What is s*z(m) - 3*r(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23449 and 187723.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.0733 (b) 0.11 (c) -1\/6 (d) 184 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/7 + 24*o**4 - 2882*o**3\/7 + 9732*o**2\/7 - 1640*o + 4464\/7 = 0.\nAnswer: 1, 2, 18, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:30 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552 (base 10) to base 16.\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476 divided by 18?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, -4, -5\/14, 7257 in decreasing order.\nAnswer: 7257, 10\/7, -5\/14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.32864 days in hours?\nAnswer: 2263.88736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76.35722 decades?\nAnswer: 7.635722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:11 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31786727 is divided by 1001.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(((-322)\/(-21))\/(-23)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 100 = 4*f, 137*g = -19*f + 133*g + 160 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -802 + 838. Let p = c + 94. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -1. Let v be (-1)\/((6\/4 + -4)*-2). What is the second smallest value in v, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:55 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -132\/767, -5, 0.05.\nAnswer: -5, -0.2, -132\/767, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 4*m**2 + m + 46. Give s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.08906 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 8 (c) -1\/12 (d) -2016 (e) -10 (f) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 3, 4\/3, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -846, -782, -718, -654, -590, -526?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + l. Let s be v(-1). Let i be 4\/(-3)*(s - 4). Let q = i - -10. What is the least common multiple of q and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134*g**4 - 2*g**2 + 32*g - 3646530.\nAnswer: 536*g**3 - 4*g + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 13*a - 2*s + 4, 0 = a + 5*s + 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.047 (b) -2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -77c (base 15) to base 5\nAnswer: -23232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 2. Let w(v) be the first derivative of -12*v**2 - d*v**2 - 18*v**2 + 21*v**2 + 3*v**3 - 29. What is the second derivative of w(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = c, 4*c = 2*i + 2. Suppose 3*w = i*w - 24. Solve 9 = 3*m + 3*u, 4*m - 4*u + 0*u = -w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i + 30. Let g = -321 - -541. What are the prime factors of (g\/30)\/(4\/i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575410237.\nAnswer: 17, 47, 109, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 147?\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 12*t - 20 = 0. Let w(d) = 3*d - 6. Let u be w(4). Sort u, 5, t in increasing order.\nAnswer: t, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {i: 3, q: 8, p: 7}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, n: 2, c: 7, l: 2, z: 2}. Give prob of sequence xcz.\nAnswer: 49\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 33 = -3*m, -2*t + 0*t - 20 = 2*m. Let j = m + 2. Suppose -2*r = 6, -5 = -0*v + 2*v + 3*r. What is the closest to v in 1, -1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 92. Let w = -9 + r. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310496958 less than -805?\nAnswer: -2310497763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*i**3 - 27 + 379*i**3 - 7*i**2 + 26 + 7*i**2.\nAnswer: -56*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5437 + 5428 + 5434 - 16299 - 10*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcggcpppgxxppgpgpxcg. What is prob of picking 1 c, 1 p, 1 x, and 1 g?\nAnswer: 147\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205146 to the power of 1\/2, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4177064 to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-21))\/g**10)\/(g**(4\/7)\/g*g*g\/g**20))**(1\/71) assuming g is positive.\nAnswer: g**(-81\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/9 (b) -2\/213 (c) 2\/13 (d) -1\/4 (e) 73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1041346 - 206?\nAnswer: -1041553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318072906.\nAnswer: 2, 3, 72719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wwzzzwuwwwquzu?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 209282 divided by 389\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20571 from -126512871.\nAnswer: -126492300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325814140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 23 - 20 - 3 - j. Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*m**6 + 2*m + 2*m**2 - 13*m**2 + 9*m**2 + 0*m wrt m?\nAnswer: -3720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 != -1420\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4806670187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8899 divided by 14\nAnswer: 8899\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 8. What is the first derivative of -8 - 1 + c*q - q - 9*q wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4\/8 + 17*k**3\/2 + 805*k**2\/8 + 1323*k\/4 = 0.\nAnswer: -54, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10665, 20537, 30407, 40275, 50141, 60005, 69867?\n\"Answer: -u**2 + 9875*u + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Suppose 7 = t*m + 5. What is the nearest to m in 3, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00712 - -3.99288. Sort -0.4, 2\/5, v in increasing order.\nAnswer: -0.4, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 64*u + 854. Calculate the least common multiple of 1698 and z(-13).\nAnswer: 18678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*q**2*s**2 - 5*q**2*s + 2*q**2*t + q*s**2*t - 57*t wrt q?\nAnswer: 22*s**2 - 10*s + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from oco?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13*z + 12*z - 2019 = 0, 4*p - 2692 = 3*z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = h - 254*t + 252*t, 5*t + 130 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 2*r - 32 + 25 + (-r + r + r)*(5 - 3 + 0) + 2*r + 0*r + 0*r + 3*r + 0*r - 2*r)*(-1 + 1 + 1) to the form a*r + x and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*h - 5591. What is the greatest common factor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2400640 by -1408.\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72051 is divided by 9005?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b*d**3*v - 3*b*d**3 + b*d**2 - b*v + 8*d**3*v - 9*d**2*v wrt d.\nAnswer: -24*b*v - 18*b + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2291964 + 2508036 = -6*w. What is w rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**3 + 7*m**2 - 1. Suppose -47*c = 22*c + 34*c + 721. Let r(p) = 8*p**3 + 6*p**2 - 1. Give c*r(f) + 6*k(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -306 + 297?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 2*w - 4. Let d(c) = -4*c**2 - c + 2. Calculate -5*d(v) - 3*s(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/3)\/(-1))\/(-2))\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 14. Let b be 2 - (1 + c)*-1. Suppose 5*k - 495 = -5*p, 2*k = 5*p + b + 193. List the prime factors of k.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 123. Let l be x(-22). Suppose -36*s + l*s = 370. Is s at most as big as -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -4. Let k be 8\/10*75\/30. Solve -2*w - k = -3*j, 4*w - 3*j = w - y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 20 = -69*q + 33*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = s + w + 1, -2*w = 4*s + 76. Let m = -17 - s. Suppose 3*h - 15 = 3*y, -3*h = -m*h - y - 15. Solve -x - 9 = -3*f, x - h*x = 3*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2820\/7 + -404. Suppose -2*f = -66 + 6. Let m = 29 - f. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 525534 + -979134. What is u rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, p: 1, o: 3, j: 1}. Give prob of picking 3 w and 1 p.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 6. Let d(s) = 11*s - 11. Suppose -v = -6*v - 20. Let x(g) = v*d(g) - 7*y(g). Let a = -35 + 28. Let k(m) = -13*m + 3. What is a*x(n) + 5*k(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 1463*p + 34814. Give b(-23).\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -12, -22, -38, -60, -88?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5974 = -q, -5*u + 2*u + 4469 = 5*q. Let o = u - 880. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33089 - -33098. Solve q + c = 4*r, 0 = -5*q + 111*r - 108*r - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1610581237, -1610581236, -1610581235, -1610581234, -1610581233?\n\"Answer: k - 1610581238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1. Let t = -1.6 - -2.9. Let d = t - z. Are -2\/5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4\/h*h**(2\/27)*h*h**(-21)*(h*h*h**(-9\/2)*h)\/h assuming h is positive.\nAnswer: h**(-1049\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b + 308122 = -52*b + 2801915. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -1.\nAnswer: -18, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 25, 38, 71, 130, 221, 350?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((165\/(-15))\/66).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 29*a + 62. Suppose 30 = -2*c + 32. Calculate the least common multiple of 39 and g(c).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2626, 5168, 7624, 9994, 12278?\nAnswer: 14476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 288150*w**2 - 5*w + 18634163?\nAnswer: 576300*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*12\/56*11\/((-1650)\/70).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 1. Let o(r) be the second derivative of 5*r**4\/6 - r**3\/6 - r**2\/2 - 31*r. Give -g(f) - o(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*t = 402*t + 5824. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 + 3*v. Let g = -3 + 8. Suppose 16 = y - g*y. Determine b(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.54753863 rounded to 4 dps?\nAnswer: 3.5475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 10)\/((-2)\/(-3)). Suppose 35 = 44*i - 37*i. Sort 2, i, 1, v.\nAnswer: 1, 2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyhyhhh. Give prob of sequence lhyh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x**4 + 0 - 1\/120*x**6 + 22\/3*x**3 + x**2 + 10*x + 0*x**5. Find the first derivative of j(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**2\/2 - 49*k - 6652. Calculate f(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 5*t + 37, -5*b = t - 25. Suppose 5*a + 4*k = 27, k = -3*a + 6*a - b. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18372 - 0.045706\nAnswer: -18372.045706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/3 - 15406*t**4\/3 + 10356922*t**3 - 5338313786*t**2\/3 + 5307258424*t\/3 = 0.\nAnswer: 0, 1, 188, 3757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 269 = -1793. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73045465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46343779 to the nearest integer?\nAnswer: 6808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10089 = 99*t + 8109 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -51*h + 550. Calculate the remainder when 63 is divided by m(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -25 + 10 + 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {m: 4, n: 3, e: 4, j: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 157.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - 14*m - 19. Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 8, -0.15, -3\/3460?\nAnswer: -3\/3460","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.6 + 14.6. Let h = 652\/5 - 131. What is the second smallest value in h, 4, -0.04, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*r**2 - 243457*g**3*r + 2458217*g*r**2 wrt g.\nAnswer: 6*g*r**2 - 1460742*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31081 < -31077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(9\/12*-2). Let p(i) = i**3 + 2*i - 2*i**3 - 14*i**v - 3 + 12*i**2. Give p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-8)*((-32)\/76)\/(166\/(-1577)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -22120?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 2:15 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let i(c) = -c**3 + 5*c**2. Let z be i(5). Let a be f(z). Is a at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -66. Which is the nearest to s? (a) -0.02 (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497987.401243 + 34.\nAnswer: 498021.401243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36189)\/16084)\/((-9)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45188 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -509211\/22 + 23150. Let t be (-32)\/5*(-900)\/8. Let f = t - 1471\/2. Calculate the common denominator of r and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 divided by 208?\nAnswer: -381\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/3 - 53080*s**4 + 212308*s**3 + 318488*s**2\/3 - 636922*s - 477696 = 0. Calculate s.\nAnswer: -1, 3, 79616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Let m(v) = -v**3 + 4*v**2 + 5*v + 6. Let p be m(k). Solve -2*w**4 - p*w - 12*w**2 - 2*w - 2*w**3 + 3*w**3 - 2 - 9*w**3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -34 + 12. Suppose 2*p - 79 = k. Suppose -832 = -33*x - 436. What is the remainder when p is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 + 0*l**2)*(-2*l - l + 6*l + 2*l - 3 + 3 + (-3 + 4 - 2)*(3*l + 0*l - 5*l) - 1 + 2*l + 1).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 3*h**2 - 6*h.\nAnswer: 3*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 18308*y + 36608 = 0. What is y?\nAnswer: 2, 9152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d**2 - 140*d + 57. Calculate s(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r + 2*b - 30, -3*b - 6 = r. Let j = -1257 - -1263. What are the prime factors of 2\/(r\/(-513)) + -5 + j?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d*u + 43217*d - 94*u - 70 wrt d.\nAnswer: -6*u + 43217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 932\/(2\/1)*15\/30. Factor c - 218 - 15*z**2 - 300 - 860*z.\nAnswer: -5*(z + 57)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005966 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o*p**2*t + 12*o*p**2 + 107*o*p*t - 6*o*p wrt t?\nAnswer: o*p**2 + 107*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2675, -5415, -8153, -10889, -13623?\n\"Answer: w**2 - 2743*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285602?\nAnswer: 2, 61, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*i + 616 = 228*i - 91*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 70. Let g = -7 - u. What is the remainder when 47 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001870925 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 12, 42, 92, 168, 276?\n\"Answer: p**3 + p**2 + 6*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*b**(-1\/5)\/b*((b**(2\/3)*b)\/b)**(-18\/11)*(b**(-2\/11)\/(b*b**(-4)\/b))\/(b\/(b*b**(6\/11))*b**5) assuming b is positive.\nAnswer: b**(-699\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13642 + 33136?\nAnswer: 50111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, y: 6, c: 4, a: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 14. Let k be g(10). Let a = k + 13. What is the remainder when 35 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s - 36. What is the units digit of p(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from okhcnkcchhhkkokcchc.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024017 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 16. Calculate the greatest common divisor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26280895583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 1616736?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c98d + 4?\nAnswer: 1c993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0623148 and -0.141.\nAnswer: -0.2033148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2239408*r - 11197036. Calculate m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -19595, -16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8671 is divided by 405?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/9 + 356*p**2\/9 + 2390626*p\/9 - 1594220\/3 = 0. Calculate p.\nAnswer: -1009, 2, 1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 + 5 - 0) + -5 - -55 - -2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120\/1789 + -487571\/7295542. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -12321231303220?\nAnswer: -12321231303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9*m + 270 = 0. Let a be (-21860)\/m + (-2)\/9. Let j = a + 1925\/4. Do j and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**8\/168 + 53*l**7\/525 + 23*l**6\/300 - 73*l**5\/150 - 7*l**4\/15 + 4*l**3\/3 + 54*l**2. Find d, given that v(d) = 0.\nAnswer: -10, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 9*f - 838 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -370, -364, -346, -310, -250, -160, -34?\n\"Answer: q**3 - q - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 3 (c) -26 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 4*n**3 - 4*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 480\/(-22) + (-6)\/33. 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: What is 20611919 divided by 6?\nAnswer: 20611919\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -134 - 3640. List the prime factors of v.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from {m: 4, b: 6, l: 3, e: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 + 3*f. Let m be h(-3). Solve a + 2 = -m*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8434716\/520245)\/4 - 6\/33. Let r = v - 5\/1051. Find the common denominator of r and 16\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 divided by -6?\nAnswer: 149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 553473483 - 1376.4\nAnswer: 553472106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**3 + 38*k**2 - 4*k + 28. Determine l(8).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 8) in base 16?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0*d**3 + 0*d**5 + 0*d**2 + 0 - 1\/42*d**7 + 0*d**6 - 1\/4*d**4 + 2*d. What is the third derivative of p(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-3))\/(2\/9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*h**4 + 86*h**3 - 600*h**2 - 1400*h.\nAnswer: 2*h*(h - 5)*(h + 2)*(9*h + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*b**3 - 3*b**2 + 2 + (-b**2 + 4*b**2 - b**2)*(0*b - 2*b + 4*b) - 722*b**3 + 1427*b**3 - 724*b**3.\nAnswer: -17*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/75)\/(185\/925)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ink when three letters picked without replacement from gljilkni?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.5 less than 8282?\nAnswer: 8330.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3 + 9*a**2 - 9*a + 3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - i - 5. Let x be o(2). Let z = -12 - -6. Let r(f) = -3 - 4 + 3 + 4*f. Let d(j) = j - 1. Determine x*r(c) + z*d(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**2 + 3*g. Determine z(2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j + 20. Let f(w) = 7*w - 24. Let z(h) = 5*f(h) + 6*m(h). Let s(x) = -248*x**2. Calculate z(s(o)).\nAnswer: 248*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2*y**5)\/(y*y\/(y*y\/(y*y**(-2\/5))))**(2\/23))**(-48) assuming y is positive.\nAnswer: y**(-21792\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 313, 714, 1267, 1966, 2805, 3778, 4879?\nAnswer: 6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943911979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 15*d**2 - 13*d + 56. Let y(k) = -12*k + 104. Let m be y(10). What is the remainder when 104 is divided by g(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*z + 123844, -4*p = -4*z - 81682 - 83434. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-157899)\/438*12\/(-14). What is the highest common factor of 51 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5*(sqrt(1539) + -3 + sqrt(1539) - sqrt(1539))*-1)**2 - (-2 + sqrt(76))**2*6*-4).\nAnswer: -1542*sqrt(19) + 40621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2 (b) -1\/5 (c) 195 (d) 3 (e) 1 (f) 2 (g) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 146?\nAnswer: 35\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -197400.11785 to the nearest one hundred.\nAnswer: -197400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-129*6\/(-36))\/((-1)\/2). Let o be (4\/(-13))\/(-41 - w). Which is smaller: 7\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 672, 1339, 2010, 2685, 3364, 4047?\n\"Answer: 2*s**2 + 661*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/165 and -169\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**3 - 5910*v**2 - 269720*v = 0.\nAnswer: -44, 0, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 + 6 = 0. Let j(i) = 2*i - 4. Let v be j(3). Suppose 2*m = -5*w + 59 + 9, 0 = -v*m - 2. What is the lowest common multiple of w and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, -2304 in decreasing order.\nAnswer: 0, -19, -2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 2, g: 1, z: 6, a: 1}. Give prob of sequence gic.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -545. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 5*u**3 + 4*u + 3*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39835820 or 1?\nAnswer: 39835820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/10 - 8\/(-40). Let i be (-11 + 1)\/(2 + u). What is the lowest common multiple of (-5)\/i*2*18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 5*w + 8992 = 2*r, -17984 = -4*r - 3*w. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/306 and -23\/810.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5850 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -4, -2, -3, 3 in increasing order.\nAnswer: -4, -3, -2, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1472388 and -35.\nAnswer: 1472388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7741, -0.5, 2\/123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 + (8 - 14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 - 5*t + 21. Let x be m(-5). Calculate the highest common factor of 42 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 13}. Give prob of picking 2 n.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593197939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 9. Let v be ((-4)\/d)\/16*1\/5. Let j = 1\/4 + v. Is 0.2 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-4))\/(w*(w*w**6)\/w))**(3\/13) assuming w is positive.\nAnswer: w**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 11 - 1 = 0. Let h(a) be the third derivative of -a**6\/120 + a**3\/2 - 90*a**2. Let b(z) = -z**2. Let t(u) = 4*b(u) + h(u). What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230990.1892 rounded to the nearest ten?\nAnswer: -230990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 33 = 4*t, -3*x + 12*t + 33 = 17*t. Let c be (0 - (3 + -3))*-1. Let q be (0 + c)\/2 + 11. What is the greatest common factor of q and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 11. Suppose 0*r + 40 = c*r. What is the remainder when 79 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 237512062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4239183 <= -4239184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 22*j**2 + 12*j + 51. Give o(-22).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-90) - (-34)\/9. Let y be 3 + 0 + 0 + 1. What is the units digit of -1*(-21 - y\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1296 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {p: 8, k: 1, l: 2, c: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose 2*a + 4*j - 30 = 0, -s*a + 52 = a + 4*j. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110591476 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:40 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3472 is divided by 852?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 0. Let d(r) be the second derivative of -11*r**3\/3 - 5*r**2\/2 + 2845*r. Is d(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4312465?\nAnswer: 5, 862493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24480 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 9.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 13*n**2 - 7*n + 2. Let f(y) = 147*y + 888. Let a be f(-6). What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/15 + 460197998*d**2\/15 - 8824258300166666*d\/5 + 8824258146767334\/5 = 0. Calculate d.\nAnswer: 1, 115049499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 2. Suppose -a - 48 = -3*l. Calculate the greatest common factor of 152 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.7 - -36.6. Does k = -379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.202373 from 0.2096.\nAnswer: -15.992773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 18015, 0.8, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*-1*((-256)\/24 + 10). Suppose 0 = -k - 0*k + 2. Suppose 4*a = -v*b, 2*b + k*b = 3*a + 7. Solve -15 = -3*r, -r - b = -5*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.9 + -21. Let j = u - 9.9. Let i = j - -9.034. Round i to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, v: 1, y: 2, w: 2, o: 1}. Give prob of picking 1 w and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.6 times -2768?\nAnswer: -1607100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6796 - -0.1796. What is the second biggest value in 3, g, 12, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-22))\/((-37)\/2035).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = -5*r - 5*n, -n + 2 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/539239 and -145\/1686.\nAnswer: 3235434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3191*y**2 + 6*y + 10. Let n(d) = 3191*d**2 + 9*d + 15. Calculate 2*n(k) - 3*w(k).\nAnswer: -3191*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842750 to the power of 1\/2, to the nearest integer?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4167851, -4167846, -4167841, -4167836, -4167831?\nAnswer: -4167826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 24. Sort 5, r, 1, 2 in increasing order.\nAnswer: r, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/5 - 8*o**4 - 452*o**3\/5 - 208*o**2 + 4224*o\/5 = 0.\nAnswer: -22, -12, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5812.66456 rounded to the nearest integer?\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -39*z - 190. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -299550352*n*s**3 + 5*s**3 + 1896*s**2 + 1014*s wrt n.\nAnswer: -299550352*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502885\/1682 at least as big as 298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/8)\/((-6)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 1264\/14. Let k(c) = -81*c - 172. Let x be k(8). Let t = x - -829. Calculate the greatest common factor of t and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -755.5 + 756. Let g = 454 + -276. Which is the second biggest value? (a) 4 (b) g (c) z (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b91 (base 13) in base 11?\nAnswer: -50a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:22 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 5. Let f(v) = -6*v + 15. Suppose 0 = 21*o - 802 + 760. What is o*f(c) - 7*g(c)?\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0 - 5\/21*y**4 - 1\/70*y**5 - 91*y - 36\/7*y**2 - 11\/7*y**3. Solve c(g) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -0*y. Let m be (-5)\/(0 + -1) - (-1 + y). Solve -f - m = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-72)\/(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrkr when four letters picked without replacement from {v: 3, q: 2, k: 2, x: 3, r: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*f + 2*b, 0*f = 4*f - 3*b - 86. Suppose -2*g - 13 = 4*w - 7, -5*w - f = 0. Sort 0, -19, g, -3 in descending order.\nAnswer: g, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/4*s**4 - 33\/2*s**2 + 5*s**3 + 0 - 125*s. Factor h(n).\nAnswer: 3*(n - 1)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720))\/sqrt(4) + (-3*sqrt(140))\/sqrt(7).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c953 - 3?\nAnswer: c950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7504248 rounded to 3 decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.02 = -27\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k**5\/5 + 53394*k**4\/5 + 15004578*k**3\/5 - 18164420*k**2 + 134023407*k\/5 + 5868738\/5 = 0. What is k?\nAnswer: -571, -2\/47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5 - 2*b**3 + 2*b**3 + 0*b**3 + 3*b + 6*b**3. Let l(i) be the first derivative of i**4\/2 + i**2\/2 - 2*i - 1. Give 8*l(a) - 3*t(a).\nAnswer: -2*a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h + 2*p, h - 3*h + 16 = -3*p. Let u(k) = k**2 - 9*k + 9. Let t be u(h). Let d(a) = -t + 1 - a. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5 - -1) + (5 - 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/720*-16*9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1744*h - 818*h + 466969 = -3267*h - 1718*h for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102201 - -101002102?\nAnswer: 102112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513814 and 3158.\nAnswer: 811312306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c + 6*f + 96 - 374 = 48*c, -f = -9*c - 55 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5 - (24479\/1365 + (-57)\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*3 - (sqrt(7) - ((sqrt(7) - sqrt(7)*4)*-5 + sqrt(7))**2).\nAnswer: 17*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*m**5\/11 + 64*m**4\/11 + 96*m**3\/11.\nAnswer: 2*m**3*(m + 4)*(5*m + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168.43 - 317568.43. Let d = k + 317399.2000005. Let h = d - -0.8. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 14*s + 63. Determine b(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (6 + 5 - (3 + 10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 617135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**7\/7 + 65*y**4\/4 - 15*y**3 - 13*y + 335. What is the third derivative of q(o) wrt o?\nAnswer: 120*o**3 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -19. Let k be (-8)\/g + 32\/18. Let l = 1 - 1. Solve l = k*z - z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 2*i**2 - 4*i - 3*i**2 + 9*i**2 + 1. Let y(b) = 3*b**2 - 3*b. Give 2*v(w) - 3*y(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6300 + 11877. Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 1352.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u + 44*u - 26*u)*(2*u - 3*u + 0*u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.1 (c) -11 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/6 - 2\/(-3). Let p = -93529 - -93563. Put k, p, -5 in ascending order.\nAnswer: -5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m - 9*m**3 - 3*m**3 + 3*m**3 + 78*m**2 - 2*m wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 5. Let h be g(4). Let t = h - -10. Suppose 0 = -936*f + 818*f + 6136. Calculate the remainder when f is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 1. Let n(c) = -c**2 - 2*c. Let h(r) = -9*r**2 + 6*r + 1. Let y(s) = h(s) + 2*n(s). Calculate -k(f) + y(f).\nAnswer: -11*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 301?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -21. Let i be 3\/(2*-3)*y. Solve 12 = -i*j - 2*f, -j + 0*f = f + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 8*v**2 - 8*v - 3. Let a be q(-7). Suppose -2*n = 5*m - 15, 12 - 3 = 3*m - n. Solve 3 = a*z - m*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**3 + 47*u**3 + 35*u**3 + (0 + 4 - 3)*(-3 + 3 + 2*u**3) + (-3*u**2 + u**2 + u**2)*(767 + u - 767) as f + t*u + m*u**3 + l*u**2 and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2119677148 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9715 - 5*c**2 + 113*c**2 - 19407 + 9692.\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 4:19 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 6, -4, 8 in descending order.\nAnswer: 8, 6, 2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25695565 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -4 (b) 1 (c) -2274 (d) 0.13 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -2, 58 in ascending order.\nAnswer: -6, -2, -1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiirrriirir. Give prob of sequence ii.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 45*g + 41*g + 3 as l*g + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (125\/(-500))\/((-3)\/(-12)). Sort n, 4, -3, 16, -5 in increasing order.\nAnswer: -5, -3, n, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*c = -99280, -56758 = -2*g - 2*c - 7120. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 126106.4\nAnswer: 504425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 2*a**5\/15 + 11*a**4\/6 - 4*a**3 - 29*a**2 + 1. Factor v(p).\nAnswer: 4*(p + 6)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**28*(n\/(n**(-1)*n*n))**(-3))**(-2\/39) assuming n is positive.\nAnswer: n**(-28\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let a(s) be the first derivative of 5*s**2\/2 - 7*s + 15. Let q(v) = -a(v) + 6*n(v). Let h(i) = -4. What is -h(t) - 2*q(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, 897, -0.5, 14, -5, -25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-21))\/(3\/(-3)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.927765 micrometers in millimeters?\nAnswer: 0.005927765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -9)*(-4)\/(-8). Let w = 1 + p. What is the remainder when w\/(-8) + 43\/2 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r + 2*a = -4, 0 = -r - 3*a - 8. Suppose r*d - 29 = -13. Let f(q) = -q + 1. Let z(k) = k - 1. Calculate d*z(n) + 5*f(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxavgavaapvka. What is prob of sequence aaka?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10239248.\nAnswer: 1\/2559812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1217, 34, 0.13.\nAnswer: -1217, 0.13, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Let b(p) = -p**2 - 12*p + 9. Let n be b(-13). Let r(m) = 2*m - 2. What is n*i(x) - 3*r(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 619, 636, 671, 730?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3746, -3749, -3752, -3755, -3758?\nAnswer: -3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -766539*m**5 + 90889*m**2 - 9*m - 3 wrt m?\nAnswer: -45992340*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 12. Let m be s(-7). Is (-15)\/2*6\/m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/3 + 2565*h**3 - 399301*h**2 - 2418895*h\/3 - 404432 = 0?\nAnswer: -1, 161, 7536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007012973 to seven decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 104 (b) 3\/2 (c) -1\/9 (d) -21 (e) 0.082\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/884020953 or 1?\nAnswer: -2\/884020953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -190\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 20140741\nAnswer: 3\/20140741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 2*f**3 + 6*f**3)*(-5 + 5 + f) + 6*f**4 + 8*f - 8*f.\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(17)*-2 - sqrt(17)) + -5 + 1 + sqrt(17).\nAnswer: -10*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.074 - 0.2843968\nAnswer: -0.2103968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.05, 1, 0.4 in descending order.\nAnswer: 1.05, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -7, 0 in ascending order.\nAnswer: -7, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(-10*22\/(-660))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 2. Let l(q) = -2*q - 6. Let n be l(-3). Let d be m(n). Suppose d*o - h - 11 = -2*o, 0 = -h + 1. What is the remainder when 13 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*n - 5 + 5 - 16*n to r*n + q and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172b (base 14) to base 16.\nAnswer: -103b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9222 or -9220?\nAnswer: -9220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 9*t - 7. Let k be h(6). Let u = 1 - 6. Let n = u + k. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/(-30) - 24\/120)*(-5 + 6). Let w = 10 + -19. Let q = -41 - w. What is the biggest value in c, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*w - 141*w = -279*w - 726 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.8192.\nAnswer: 0.16384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3094 + 3094 + 75159*v + 102957*v.\nAnswer: 178116*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 197*u + 107. Determine h(-39).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 325648?\nAnswer: 1\/162824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*k + 42*k + 29*k + 220*k to the form q*k + i and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 12*r**2 + 12*r - 12. Let p be j(-13). Let h(b) = -p - 59*b**2 + 3 - 15*b + 58*b**2. What is the lowest common multiple of 28 and h(-15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x**(-3\/4)*x*x))\/x*x)\/(x*x**2\/x))**(-17) assuming x is positive.\nAnswer: x**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40579\/(-35))\/(-11) + (-14)\/(4410\/27)*-7?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 + -2?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**3\/3 - 94324*a**2\/3 - 556016396*a\/3 + 556110724\/3 = 0.\nAnswer: -11791, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/7 + 3\/(-5) + 84\/(-210). Factor h*x**5 - 6\/7*x**4 + 6\/7*x**3 - 2\/7*x**2 + 0*x + 0.\nAnswer: 2*x**2*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7171166 is divided by 3276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 45 + 15 = 0. Suppose -o*s + 316 = -11*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 2. Let i be b(7). Suppose 4*x - i - 1 = 0. Suppose -4*h + 53 = x*v - 15, -42 = -3*v - 3*h. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.1 + 44. What is the nearest to z in 5, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 116. Let t(m) = -24 + 4*m + m + 13 - u*m. Let r(z) = -2*z. Determine t(r(i)).\nAnswer: -6*i - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -8067?\nAnswer: -1\/8067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1017*d**2*l + 5*d*l - 398*d wrt d?\nAnswer: 2034*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-21) - 142\/497.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066881 to six decimal places.\nAnswer: 0.000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 26*n**2 + (n + 5*n + 0*n)*(4 - 4 + 6*n).\nAnswer: 62*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 - -0.01. Let y be ((-2)\/(-4))\/(2\/(-8)). What is the closest to 0 in -5, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2014495760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 1.14\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r\/(r**(-8)\/r))\/(r**2)**(-6)*(r**(-5\/6)\/r**8)\/(r**2*r**(1\/8)) assuming r is positive.\nAnswer: r**(265\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 2\/11*n**3 + 0 - 2\/11*n**2.\nAnswer: -2*n**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - p - 331 = 198, -883 = 5*n + 2*p. Let u be (-3 + 5 - 3) + n\/(-91). Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7831730 and 17595?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -3. Let i(o) = -5*o + 5*o + a - 5 + 2*o - o**2. What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 90 - 67)*(-6*x - 11 + 11) + 0*x - x + 3*x.\nAnswer: 464*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/4*w**4 - w**3 + 3\/2*w**2 + 3 - 3*w. Give a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.02, -17697 in ascending order.\nAnswer: -17697, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**3)\/r)**(5\/16))**(2\/5) assuming r is positive.\nAnswer: r**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*z - 165. Calculate the remainder when 9 + (-594)\/(-12 - -3) is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t - 231. Determine s(17).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 64.919751414 and -0.06.\nAnswer: 64.859751414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -307*x + 305*x + 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:32 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 7954*i + 19 - 336330*i + 22.\nAnswer: -344284*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -45*c**2 - 26*c + 5. Let p(s) = 16*s**2 + 9*s - 2. Let k(x) = -17*p(x) - 6*w(x). Give k(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469324 divided by 13?\nAnswer: 469324\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6760846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 1.7. Put 2\/3, u, -5 in ascending order.\nAnswer: -5, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804\/6 + 1\/(-3) - -8 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -19.25119\nAnswer: -173.26071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 767439979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 3\/7, 553, -0.3, 6, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 - 11*p + 12. Let v be ((-8)\/8)\/((-1)\/(-2)). Let q(l) = l**2 + l - 1. Give v*j(s) - 22*q(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 5. What is c(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 54*b**2 + 251*b + 2242. Give a(-58).\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -m + 3*m. Suppose 5*s = 4*q + 318 + 102, 3*s - 2*q = 254. Calculate the greatest common divisor of m and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = -3*k - 5*j + 3*j, -450 = -2*k + 3*j. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17899 = 314*b - 312*b, 3*b + a - 26852 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13294 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*h - 1118*h + 9195 - 3147 = -2175*h for h.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2162, -31, -5 in descending order.\nAnswer: -5, -13, -31, -2162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59461 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -43. Let z = l + 35. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + 3*m - 2. Suppose 2*b = -3*j - b - 12, -3*j - b = 2. Let u be o(j). Let g be (-4)\/(-5)*(-10)\/u. Solve -s + 1 = -g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76641592, 76641587, 76641582, 76641577?\n\"Answer: -5*n + 76641597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -18*w**5 + 20010*w**4 + 26722*w**3 - 11106*w**2 - 26704*w - 8904 = 0.\nAnswer: -1, -2\/3, 1, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -136acd7 + -5?\nAnswer: -136acdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 913096.2 years?\nAnswer: 91309.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 242102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4118*g - 4113*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 723402*x\/13 - 2170224\/13.\nAnswer: 2*(x - 361704)*(x + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 25 = 29. Let p(f) = 2*f - q*f + 2*f. Is 5 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5225760 is divided by 1990.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -111010011010000 (base 2) to base 5\nAnswer: -1424104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.3653?\nAnswer: -0.40959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 1, i: 2, p: 9}. What is prob of picking 1 i and 2 p?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/20*2 - ((-2016)\/(-35))\/1. Sort 1, a, 5 in decreasing order.\nAnswer: 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/4 + 7*l**3\/3 - 7*l**2\/2 + 4*l + 129. What is x(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 3. Give h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 + 7 = 0. Suppose 0 = 2*j - 2 - 8. Suppose -j*o = u - 30. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 133. Calculate the remainder when 85 is divided by -2 + s - (-12)\/(-18)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6377 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.67 + -0.13. Let c = 0.71 + t. Let f = -4.09 - c. What is the closest to -1 in 5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -3*f. Suppose 5*q + 17 = 3*k - 3, -f*q = k - 3. Which is bigger: 2\/15 or q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6107 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7442\/555*12\/(-112). Let o = a - -3\/370. What is the common denominator of -31\/9 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14545 (base 6) to base 13\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3611418 to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 18736800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 73 + 118)*((0 - 2 + 4)*(3*r + 2*r - 4*r) + 0*r + 2*r - 3*r).\nAnswer: 227*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - 0.05. Let z = q + 0.02. What is the second smallest value in z, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-4)\/sqrt(11))**2 + sqrt(19) - (2 + sqrt(931)).\nAnswer: -6*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17009, 33897, 50785?\n\"Answer: 16888*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*t - 1404884 = 196*t - 100*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 101. What is w(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h. Let y be (77 - 86)*(-1)\/(-3). Suppose -15*k = -19*k + 20. Let q(a) = 7*a - 1. What is k*l(d) + y*q(d)?\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -28. Let o(b) = -2*b - b**3 - s*b**2 + 40 - 97 + 49. Suppose -j = -3*j - 12. What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2458767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 32 = 3*i, o - 4*i = -0 + 32. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 11. Let n(z) = -6*z - 16. What is 5*n(o) - 7*p(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 - -2)) + 1. Suppose g = 2*i - 81 - 29. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-6) + 2\/3. Let j be -4*((-5)\/(-4) + -2). Suppose 4*w - 46 + 51 = 5*a, 3*w + 7*a - 7 = 0. Solve j*g - c = g + 3, w = -r*g + 3*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5892998 and 8474.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -33 - 277*n + 2*n**3 + 103*n + 96*n - 23*n**2 + 110*n. Calculate h(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034702 to seven decimal places.\nAnswer: -0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00937728923 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81386 - 81382. Suppose 20 = -3*p + p - 4*i, 4*p = 5*i + 25. Solve c = -6*m + 2*m, p = -2*d + 2*m + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.82 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/17 or -1?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122403 (base 6) in base 14?\nAnswer: 3dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.2324794 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69497642 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 351 = -n. Suppose -91 - 59 = -5*x. Calculate the remainder when n is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r**2 + 6*r**2 + 2*r**2 - 13 + 13*r**2 - 53*r**2 as b*r**2 + x*r + q and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 705 = 5*n + 5*p, 7*n - 133*p = 5*n - 134*p - 85 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35923 - -5?\nAnswer: -3591d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 + j**3\/3 - j**2\/2 + j - 34. Let a(k) = 14*k**3 - 10*k**2 + 10*k - 10. Let r = -6 - 4. Calculate r*m(q) - a(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let m(t) = 4 - 181*t + 176*t - 4. What is f(m(q))?\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*u - 39. Let p = u + 11. Suppose 1 = -v - p. Which is smaller: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73240+-0.4\nAnswer: -73240.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 46*l + 6 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65922.\nAnswer: 2, 3, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.2 (c) 25.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166952 is divided by 5756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 + -5)*4\/8. Solve 5*g - h + 5*h + 1 = b, 5*g + 2*h = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12695893 is divided by 198373?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.8590595 nanoseconds to weeks.\nAnswer: 0.00000000000006755796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 + 5*y + 8. Let b = -29 - -45. What is the smallest common multiple of s(6) and b?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120420653062601 - -0.4.\nAnswer: 120420653062601.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 293.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5484 - -1867.\nAnswer: -3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, 1 d, and 1 q when four letters picked without replacement from yyyyydyyqdyqdiyde?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/(-4) + 3\/6. Suppose -5*g + 0*g + 3*z = 8, g = 5*z + o. What is the units digit of g\/10 + (-27)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let u be n\/(-2)*-9 + -1. What is the greatest common factor of 80 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 - (-196 - (-419 - -153))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i. Suppose g - 4*g = -24. Let p(z) = -18*z + g*z + 9*z. Calculate h(p(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*b + 248, 3*b - b - 278 = -2*j. Suppose f - 5*k = 20, 4*f = 4*k - 2*k + j. Let a = -14 + f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3575924378 + -0.3.\nAnswer: -3575924378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261934 and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -175, -176, -193, -232, -299?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*a - 54 = 0, -2*i + a = 2*i - 216. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -99. Let o be -3 - (d\/10)\/((-2)\/10). Suppose 5*q + x - 89 = 0, 0 = -q + 2*x + o - 1. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(2*c + 0*c - c)*(2 - 4 + 0)*(1634 - 1634 + 53*c) as g*c + l + m*c**2 and give m.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1844875 greater than 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -87*c - 1175. Calculate d(-13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + -21?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 20)\/(-3) - -257. List the prime factors of q\/(5*(-2 + (-11)\/(-5))).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4260338 - 3.04147.\nAnswer: -4260341.04147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1273104?\nAnswer: 7638624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0*l**5 + 0*l**3 - 13\/28*l**8 + 0*l**2 + 0*l**7 + 0 - 12*l - 5\/6*l**4 + 0*l**6. Find the third derivative of y(f) wrt f.\nAnswer: -3120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 862328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-2)\/(6\/(-3)). Let n(o) = 6*o - o - 4 + 4*o + 0. Let h(r) = -8*r + 3. Give l*h(p) + 5*n(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -9. Let n(h) = -27*h - 44. List the prime factors of n(i).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/p**(-1\/5)))**(-21\/8) assuming p is positive.\nAnswer: p**(-189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18*u - 1237. Calculate o(71).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04695 - 0.\nAnswer: -0.04695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225562178603 + 225562215055.9950037. Let s = 36451.195 - m. Let p = 1.8 + s. What is p rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 1. Let g(q) = q - 10. Let t be g(3). Let h be (-24)\/(-6) + t + -1. Let s be 4 - (h - 45\/(-5)). Determine b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12.8 (b) -2\/3 (c) 4.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 317356642*p**5 + 2*p**4 - 243295*p - 1378?\nAnswer: 6347132840*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 + 8*r - 2. Let h be p(5). Suppose 0 = d - v - 12, -d + 2*v = -h + 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 13*i - 18. Let q be o(4). Solve q = 2*v - 2*r, -2*r - 2*r - 28 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 305\/2. Let l = p - 16. Factor 1\/6*o**3 + 1\/2*o - l*o**2 - 1\/6.\nAnswer: (o - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-12)*f\/(f*f*f\/f**(-11\/3)))**(-45) assuming f is positive.\nAnswer: f**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(6\/7)))**(8\/9))**(-22) assuming o is positive.\nAnswer: o**(352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 207727\/2 - ((-44)\/12 - (-22)\/132) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1940549\/110 - -128001\/11. Let j = -5993 - x. Calculate the common denominator of j and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/4)\/(1\/44). Let d = -234 + k. Calculate the common denominator of -61\/5 and 45\/d*28\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12769.63601 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*k**2 + 180*k + 675\/4.\nAnswer: 3*(8*k + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 16) to base 15.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/4*(-2 - 5). Let u(x) = 17*x - 5*x**2 + 2 + 2 + 14 + 4*x**2. What is the remainder when u(y) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:50 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 3276.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 31, -11 in descending order.\nAnswer: 31, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*a + 1081*a = -2*q + 73, 5*q = -a + 33 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/34197 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.0307 - -2.9693. Which is the second smallest value? (a) 12 (b) i (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**3 + 6355*v**2 + 31620*v - 37980 = 0. Calculate v.\nAnswer: -1266, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-3)\/4 - -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-28)\/40)\/(-7)). Suppose d*m = 5*m + 325. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 greater than 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/7 + 22588*r**2\/7 + 45170*r\/7 + 22584\/7 = 0. Calculate r.\nAnswer: -11292, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3090577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1420\/315 + -4 - 2\/7. What is the biggest value in -5, 1\/15, -3\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j**3 - j**2 + (-j - 3*j + 1 + 2*j)*(3*j**2 - 5*j**2 + 4*j**2) to the form g*j**2 + f*j + v*j**3 + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8*n - 8 = -3*n, -m - 4*n = 7. Is -2\/48545 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*d - 4*d + 832. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b6 (base 13) in base 3?\nAnswer: -220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.26 - 1.16. Put 23, -8, z in descending order.\nAnswer: 23, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3 - 2)*1. Solve k = 2*y + 2*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/(-2) - 2 - 1\/(12\/6). Solve 6*q + j - 17 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 7}. Give prob of sequence sws.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0163 - -1.9837. Which is smaller: x or -3\/34?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -818*l + 811*l. Let j(z) = 2*z - 1. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*w**3 - 27*w**3 + 19*w**3 + (-16*w - 11*w + 7*w)*(3 - 3 + 2*w**2) + 2*w**3 - 2*w**3 + w**3.\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (2 + -2)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 851122.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 280, 235, 190?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 309 + -37.1807\nAnswer: 271.8193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 422.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 1. Let v(x) = 7*x + 9. Let c(s) = 36*i(s) - 4*v(s). Let u(p) = 2*p. Calculate c(u(f)).\nAnswer: -128*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-5)*x)\/x))\/x**8*x**(-25)\/(x\/(x\/(x\/(x*x**24\/x*x)))) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 1. Let m be i(-1). Suppose l + 2*l - 216 = m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(-6*t - 43 + 43) + (-1 + 2*t + 1)*(0*t + 2*t - 4*t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17144.75257 to the nearest one hundred.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*o**2 + 28*o + 19*o - 47*o to i*o**2 + w*o + c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -80960 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(h**4 + 0*h**4 + h**4) + 2*h**4 + 3*h**4 + h**3 + 0*h**4 as o*h + n*h**2 + b + y*h**3 + d*h**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/677?\nAnswer: -3\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 84.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 615490 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -0.5, -2229 in decreasing order.\nAnswer: 0.2, -0.5, -5, -2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*m + 325*m = 120 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and -5508.05?\nAnswer: 616901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 0.3, 4144, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-4) - 7) + -10. Let l = z - -22. Suppose -20 = -3*t - l. Solve b - 3*b + t = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**(-2)*l*l**(-1\/4)\/l*l**(-2\/11)\/l)\/(l\/(l\/(l\/((l**(2\/39)*l)\/l)))*l**0*l)**(1\/6) assuming l is positive.\nAnswer: l**(-9043\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-375)\/25)\/705)\/(8\/(-8)).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 93, -3, 4 in increasing order.\nAnswer: -3, 1, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 24. Let p(j) = -j. Let t be p(-11). Let w(x) = -x + 21. What is the remainder when n is divided by w(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3 - k + 8*k - k**3 - 5*k**2 + 0*k**3. Let d be a(-6). What is the units digit of (6\/d)\/((-1)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/713 or 1?\nAnswer: 1\/713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 0*f**2 - 16*f**2)*(-2 + 7 - 2)*(-2 - 5 + 1) + 4*f**2 - 4*f**2 - 2*f**2.\nAnswer: 376*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/3)\/(2\/6). Let p = 38 + -32. Suppose 6 = p*b - a. Solve -1 = 2*j - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*18\/810*9*6\/27*-2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*u**3 + 22*u**3 - 26*u**3.\nAnswer: -184*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4248 and -76\/99?\nAnswer: 46728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10568 - 5031 - 5500 + n**3.\nAnswer: n**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 11. Suppose n*a - 2*h + 8 = 0, 5 = -4*a - 3*h + 17. Factor 0 + a*v**2 - 3\/2*v**3 + 3\/2*v**4 + 0*v.\nAnswer: 3*v**3*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1500 and 19500?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -222637*-0.2\nAnswer: 44527.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2228629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-3)\/2)\/(16\/32). Suppose -5*z - r = -598, -c*r - 3*r = -5*z + 580. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -363\/8 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1512 - 820. Is 66 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 6207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.38 - -1.62. Sort -11, -0.3, o in ascending order.\nAnswer: -11, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132500 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*x + 231*x - 3*v - 27 = -224*x, -x + 2*v - 4*v = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196 or 0.778317?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3245\/(-440))\/((-8)\/((-256)\/(-4)))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/10)\/((-16)\/(-40)). Suppose 4*o - 112 = -4*u, 9*o - n*o = 5*u - 90. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -194, -428, -746, -1142?\n\"Answer: t**3 - 51*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -4*a + 3*i, -4 + 6 = -i. Let p(q) = 14*q + 12. Let d be p(9). Calculate the remainder when a is divided by 6\/(-3)*d\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(1800) - sqrt(1800)) + 4)**2*1*6.\nAnswer: 1440*sqrt(2) + 10896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**17\/(c*c\/(c*(c\/((c**(-1)*c)\/c))\/c*c)))\/(c**10)**(-22) assuming c is positive.\nAnswer: c**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u**3\/3 - 7*u**2 - 4*u - 19. Is q(-3) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*g - 9 - 0, -2*g = -2*i + 10. Let h be g*(3\/7)\/(-3). Suppose 3*f = -2*f. Which is the nearest to 1\/2? (a) -3 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)*(k*k\/(k\/(k*k**(-1\/8))))\/k)\/((k*(k\/(((k*k**0\/k*k)\/k)\/k))\/k*k*k)\/k*k*k*k\/(k*k**(-4))) assuming k is positive.\nAnswer: k**(-991\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17))**(-1\/5)\/(q**23\/q*q*q**(-13)*q))**(-1\/21) assuming q is positive.\nAnswer: q**(38\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 + 4 = 2*v, 3*v = 4*j + 12. Let i be j\/(3\/6*-3). Find the first derivative of -1 + w - 1 + i*w - 6*w wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.607 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + -1 + (-6260)\/(-100). Let m = -7 + 11. Suppose s + u - f + 0 = 0, -m*s - u = -233. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -41 + -5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -97600 divided by -1600\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 45. Suppose 3*j - 12 = -l*j. Solve 0*r + 5*x = j*r + 21, -x + 8 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -188, -191, -196?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1101, -4109, -9049, -15915, -24701, -35401, -48009, -62519?\n\"Answer: d**3 - 972*d**2 - 99*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 8:12 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29303317.\nAnswer: 29303317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122, -122, -124, -128, -134, -142?\n\"Answer: -k**2 + 3*k - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -24. What is the smallest common multiple of (-3)\/(-9) - 85\/x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 3\/9)*-3*7. What are the prime factors of (7\/2)\/(b\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**3 + 3*q**3 + 0*q**3)*(5 + 2*q**2 + 1 - 3*q**2).\nAnswer: 3*q**5 - 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/5 of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**5\/120 + 5*y**4\/24 + 2*y**3\/3 + 36*y + 69. Let m(g) be the third derivative of a(g). Calculate m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d8 + -5?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 7:54 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*6\/(-9). Suppose -5*q = -j - t, j + 1 + 1 = 4*q. Let y(l) be the third derivative of -l**4\/24 + 2*l**3\/3 - 5*l**2. Calculate y(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5912 - 9.9282. Let k = t - 0.163. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 96277*q\/2 + 48139.\nAnswer: -(q - 1)*(q + 96278)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3\/3 + c**2 + 3*c\/4 - 3. Let r(x) = 0. What is x?\nAnswer: -3\/2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 4*r + 1. Let j be g(-4). Suppose 2*x + j = -1. Let s be x - 1\/((-2)\/12). Solve s*n = -5 - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -275452?\nAnswer: 275450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9413 by -677.\nAnswer: -9413\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/16335 and 67\/31581.\nAnswer: 473715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 4773*d - 1526616 = 0 for d.\nAnswer: -1864, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17182 times 0.39?\nAnswer: 6700.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/105)\/(2\/5))\/((-80)\/56).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iafaihhifhiiaii. What is prob of picking 1 h and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**3\/2 + 153*y**2\/2 - 21*y. Let t(b) = -b - 38. Let j(d) = 21*t(d) + 5*v(d). Let x be j(-6). Solve x*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Let d(w) = 2*w**2 - 3*w + 2. Let v be d(j). Let y be -2*(-4)\/(2 - 0). Solve -4*l + 2*u = -6, u + 3 = v*l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:47 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 25 + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, 272.1, 2, 1\/10.\nAnswer: 1\/10, 12\/11, 2, 272.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 2. Let f be b(0). Let c = f - -13. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -186*k**2 - 4471*k - 208. Determine f(-24).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-21) + (-182)\/(-294). Let f(p) be the second derivative of -v*p**3 - p + 0 + 0*p**2. Let s(k) = 2*k. What is s(f(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q - q + (1 + 1 + 0)*(-2 - q + 2))*(-5*q**2 - 12*q**2 + 5*q**2).\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -26, 6, -1\/3, -1\/2, 15 in increasing order.\nAnswer: -26, -6\/7, -1\/2, -1\/3, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5 + 588*n**4 - 4*n**3 - 588*n**2 = 0 for n.\nAnswer: -147, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576018764.\nAnswer: 2, 3, 19, 89, 25889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21436 (base 7) to base 15\nAnswer: 18cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2772 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369 = -391*a + 1150 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - q. Let j be d(-1). Let n be 1 - (-4 - j) - 2. Solve -2*y + 4*y = -5*k - 30, 2*k + 3*y + 23 = n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 + m**2 + m**2)*(-6*m + 3*m - 2*m) + m - 2*m**3 + 2 - m to the form d + w*m + s*m**3 + t*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5\/4 + 10*a**4 + 45*a**3\/4 - 45*a**2\/2 = 0. What is a?\nAnswer: -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81c (base 15) to base 6\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -8*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 64 = -v. Suppose -14*a = -18*a + v. Suppose -9 = -2*h - 3*w + 8*w, 0 = a*h + 4*w - 88. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5664 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -55 + 0*v**2 - 2*v - 131\/6*v**4 + 17\/2*v**3. What is the second derivative of u(o) wrt o?\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -174, -149, -124?\n\"Answer: 25*m - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85 - 1145*u**3 + 109 - 194 - 2647*u**2 wrt u.\nAnswer: -6870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5)*164\/287*7\/90.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -600256 divided by 7232\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s - 7*s**3 - 4*s + 4*s**3 wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2199*b - 2237*b + 6677*b - 2233*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 0.07, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 323 - 52 = 0. Suppose -a*v = -1079 - 61. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591908 is divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - 1611*h + 32417. Calculate v(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -8.2. Let k = x + 0.3. What is the closest to 1 in 0.3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -1.3, 1\/7, -1, -4, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461358583 - 3652.\nAnswer: -461362235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - (1\/1 - 0). Factor -3*i**3 - y*i**2 + 2*i - 5*i + 0*i**3.\nAnswer: -3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1 in decreasing order.\nAnswer: 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7615919 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-4)\/22 - (-25704)\/44). Let u = z - -1263. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*x - 6*x = 29, 4*z = 5*x + 37. Let v(j) = 4 - 4 - 2*j + z*j. Let a(o) be the third derivative of o**5\/30 + o**2. Calculate a(v(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5530652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 11*u - 10*u - 12, 5*r = 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -54537020.12 to the nearest one hundred thousand.\nAnswer: -54500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a14271 (base 11) in base 16?\nAnswer: 18e24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f + 77*f + 3*b + 2*b - 10 = 6*b, f - b = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6 - -8?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 10*w - 2*v, 3*w - 12683 = -v - 12672 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 8:25 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 17*l = 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109\/468 - -2\/117. Let t(f) be the second derivative of -8*f - f**3 - r*f**4 - 3\/2*f**2 + 0. Factor t(i).\nAnswer: -3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/4416)\/(390\/90)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/100*(-4020)\/(-469)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a factor of 68342017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 3, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-1) - (615615\/(-1650) + (-2)\/(-20)). What is the highest common factor of l and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 6*f**2 - 13*f + 101. Let q be n(6). Let r be 4\/(-14) - (-324)\/7. Calculate the highest common factor of r and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 57. Suppose 16 = q + 5*j - v, q - 41 = 2*j. Let y(n) = n**2 + 30*n + 216. What is the lowest common multiple of y(-22) and q?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**5 - 213*b**3 - 4492*b**2.\nAnswer: -240*b**2 - 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 + 3*i**2)*(-2*i**2 + 2*i**2 + 2*i**2) + 4*i**3 - 2*i**4 - 2*i - 4*i**3.\nAnswer: 2*i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(10\/12)\/((-1)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 86*m. Let d(x) = x + 55173. What is t(d(w))?\nAnswer: 86*w + 4744878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 9*t.\nAnswer: t*(t - 3)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/3 - 0)\/(18*(-20)\/(-1748520)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10*l - 86 = -5*l. Let z = -125 + 177. Calculate the remainder when z is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2832, 5662, 8492?\nAnswer: 11322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 41\/5 - 1\/5. Let j be 3 + -2 - (-5 - -1)*1. Suppose 4*a + 6 = -j*w + 28, -2*w = -3*a - 18. Calculate the highest common divisor of f and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72262 is divided by 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401 by -401.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5015 times 5159.7?\nAnswer: 25875895.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1465065 and 3276.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2*t**3\/3 - 2*t**2 - 4*t - 7. Suppose -5*n - 2*h = -h + 12, 6 = -5*n - 3*h. Calculate o(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100134202 (base 6) in base 10?\nAnswer: -1692218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -1 - (-32 - (-74 - -40))) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -42. Is h smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 - 7. Let q(j) = -2*j. What is q(r(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -24. Solve 4*s - h = 8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753, 1052, 1351, 1650, 1949?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - -19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*m = 8. Let t be 1*(-3 + m\/(-1)). List the prime factors of 2\/(-4)*-46 + t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*7\/1932*-348.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, n: 11}. Give prob of sequence kknn.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -18, 6, 48, 114, 210, 342?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -357?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c**3 + 1623856*c**2 - 13*c + 1853741 wrt c?\nAnswer: -108*c + 3247712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2588 + -12939\/5. Let x = 2271\/10 - 15949\/70. Let f = x - 58\/35. Is g at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180710 + 27?\nAnswer: 180737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -25. Let u(j) = 4*j + 973 + 0*j - 2907 + 7*j**2 + 966 + 973. Let w(a) = -10*a**2 - 6*a - 7. What is s*u(p) + 5*w(p)?\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 783 = -1245. Sort m, -0.3, -0.4 in increasing order.\nAnswer: m, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (137 - (208 + -142)) + -154?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + 3414\/42. Suppose 861 = -2*n + d. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 8 = -3*r. Let d be 2 + (-1)\/(-1)*r. Solve 0*n = -n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14674652 and 18956?\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.93 + 0.07. Let o = -112 - -35. Let h = 78 + o. What is the biggest value in p, 2, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*q - 5*c - 35, -48700*c = 4*q - 48697*c + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24 and -115\/804?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*o + 412, d + 0*d - 3*o = 196. Suppose -2*w = 5*l - 147, -2*w - 3 = -l - 144. Calculate the remainder when d is divided by w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.820177s?\nAnswer: 9820177000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - d + 6, -3*d = 2*r + 4 - 1. Suppose -8 = x + 3*q - 25, 3*q = -r*x + 21. Suppose 0 = 4*v - 2*v - 2. Solve -5 = -x*a + v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -469622406 to the nearest one hundred thousand.\nAnswer: -469600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60734?\nAnswer: 2, 30367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16327 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 92 = 4*w, 1105*f = 1106*f - 5*w + 115 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 - 58*s**2 + 2*s - 2. Let p(o) = 9*o**3 - 117*o**2 + 5*o - 5. Determine -5*d(h) + 2*p(h).\nAnswer: -2*h**3 + 56*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5585792 days in hours?\nAnswer: 13.4059008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156352313.\nAnswer: 3, 385450771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20*1\/(-1*(-4)\/40). Suppose 4*r - 244 = -v. Put r, 1, 3 in ascending order.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*i - 925 = -174*i. Calculate the highest common divisor of 333 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:02 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -11*g + 106932. Let l(u) = 463*u**2 - g*u + 8911*u. Let w(z) = 2*z. Calculate w(l(n)).\nAnswer: 926*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-2*a**5 + 2*a**2 - 2*a**2) + (-164 + 343 - 143)*(67*a**5 - 169*a**4 + 169*a**4) + 3*a**5 + 3*a**5 - 4*a**5.\nAnswer: 2416*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11547, 46175, 103887, 184683, 288563, 415527?\n\"Answer: 11542*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 82 + -83 - 6\/(-2). Solve -68*k - g = -69*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202175161 or 202175160?\nAnswer: 202175160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16994 and 14?\nAnswer: 118958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111104 (base 5) in base 12?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*27\/(-36)*8\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 56*j - 60*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.302 + -8.73. Let s = m - -1.032. What is the smallest value in -0.3, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2971 - 2959. Suppose -2*a - a = -5*q + 20, -4*q = 2*a + 6. What is the closest to 1 in -0.4, a, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(5\/8) assuming g is positive.\nAnswer: g**(-5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3449054667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.336.\nAnswer: 2.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79019 is divided by 3845?\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*s = -4415, -3*s + 412 = 3*n - 2897. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -2. Let y(r) = -r**3 - 6*r**2 + 3*r**2 - 2*r + 2*r**2 - j. Let x(m) = m**3 + m + 1. Calculate 2*x(k) + y(k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/5 + -3\/10. Let l be (14\/6)\/(1\/(-18)). Let c be 4\/l*-1*-3. What is the nearest to c in 3, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*f**3 - 1\/5*f**2 + 0*f + 0 - 1\/5*f**4 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 1, w: 3, i: 7, s: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**2 + 2484*a + 2488 = 0?\nAnswer: -1, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/6 + (-2)\/6. Suppose -3*g = -18*q + 17*q - 1, -2*q + 8 = 4*g. Calculate the remainder when (-1)\/p - (-28)\/6 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -682686 divided by 10?\nAnswer: -341343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -3, 9, 1\/7, -3\/5, 1 in increasing order.\nAnswer: -3, -3\/5, 1\/7, 2\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10139 = -157*z - 1033 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 17 - 25 + 53 - 93*d - 14 to z + r*d and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcglqqqhghqcqqqgqqc. Give prob of picking 1 g and 1 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1280153 and -0.07?\nAnswer: 89610.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 - 2*y + 165. Suppose 0 = 8*u - 4*u. Let x be q(u). Which is greater: 164 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3 + 3. Let x(i) be the third derivative of -2*i**2 - 1\/24*i**4 + 0*i + o + 0*i**3. Let a(z) = 3*z**2. Calculate x(a(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/6 + 582*y + 1. Let u(c) = c**2 + 182. Give l(u(p)).\nAnswer: 2*p**4 + 728*p**2 + 66248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -49 + 49 + 10*z + z**2. Is o(-11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.2458mg to grams.\nAnswer: 0.9272458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322991 to the power of 1\/2, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31723 is divided by 6335.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:50 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3823336.1300228 + 3823337. Let g = 0.87 - s. What is g rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpp. Give prob of picking 1 d and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 189. Let x(d) be the third derivative of 1\/2*d**3 + 0*d + 0 + 1\/12*d**4 - 1\/60*d**n - 4*d**2. Factor x(h).\nAnswer: -(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*c + 15*c - 43*c - 41*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3012193218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1122 - -323. Let o = -1774 - q. Let p = -504 - o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 374 + -196. Is d not equal to 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110 - -100?\nAnswer: -101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 121682?\nAnswer: 121682.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 2*s + 9. Let g be c(-4). Let q(z) = -g*z**2 - 27*z**2 + 61*z**2. Let k(f) = -30*f**2. Give q(k(n)).\nAnswer: 900*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) -6736 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:17 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1387 and 114.\nAnswer: 8322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1707, 1706, 1705, 1704, 1703?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 3 + 3)*(-x**2 - 2*x**2 - 2*x**2) - 3*x**4 + x**4 - 4*x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2551584 divided by -7594.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = 37 - 54 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58656 is divided by 838.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-294)\/(-18) + 2\/(-24)*-8. Solve 19 = k*t - 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 825 + -821. Solve 0 = -p + 3*p - x - 3, -4*x = -4*p + b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/9)\/(1384\/29613621) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32, -49, -92, -173, -304?\n\"Answer: -2*x**3 - x**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892743 divided by -3.\nAnswer: -297581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46224472409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g + 38. Let r be u(9). Solve 5 = 7*j - r*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {s: 2, u: 3, z: 4, w: 6, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352070582 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 6) to base 10\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 4*s**2 - 3*s - 4. Let k be i(-3). Let a = -172 + k. Solve 2*r - a = -14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 - 3795*u**2 - 229*u - 10.\nAnswer: 12*u**2 - 7590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 10*v - 3. Let x be g(-8). Let y be 34\/x + (-20)\/(-39). What is the nearest to y in -4\/3, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**6)*h)**(-8\/15)\/((h**(-7)\/h)\/((h\/(h*h\/(h\/h**11)))\/h)))**(-47) assuming h is positive.\nAnswer: h**(1692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(37\/2072) - -41.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5785 + 3.5785. What is the third smallest value in p, -3, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530955533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 208523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/10 - h**4\/12 - h**3\/3 - 266*h**2. What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 + 720*v**4 - 28240*v**3 - 11520*v**2 + 452864*v = 0.\nAnswer: -4, 0, 4, 58, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 p when four letters picked without replacement from {y: 2, s: 1, p: 6, q: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/9))**(-10\/13) assuming a is positive.\nAnswer: a**(20\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -150?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5938 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/30 - 7*h**4\/24 + 17*h**3 - 14*h**2. What is the hundreds digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-5 + 2\/2). Let i(a) = -a**3 + 2*a**2 + 2*a + 2. What is i(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1100)*-2*-6)**2.\nAnswer: 2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 n when four letters picked without replacement from {k: 2, d: 2, n: 5}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 5\/432?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udddsuvxsysssddvx. What is prob of sequence ydx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2342363 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661346.4um to meters.\nAnswer: 0.6613464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4692000 rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 15*z - 65. Let j be c(-8). Let n(g) be the first derivative of g**3\/3 + 5*g**2 + 9*g - 65. Give n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12258082 to the nearest ten thousand.\nAnswer: -12260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*k + 816, q - 8*k - 821 = -7*k. Is 85 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2714*g + 10*g**2 - 2674*g - 5*g**2 - 1 + 5388*g.\nAnswer: 5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58\/25153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 2:14 PM?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -1. Let h(s) = s + 3 + r - 3. Let t be h(-6). Solve 16 = -t*l + 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4480885 greater than -4480872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -76.8. Let h = -0.9 - f. Round h to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -1390082?\nAnswer: -1390080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6563 minus -0.4?\nAnswer: -6562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15004255 (base 8) in base 3?\nAnswer: -20102020202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 290775 divided by 11631?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -22\/377, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -4. Let d = 136.95 - 136.85. Which is the nearest to d? (a) x (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 0, d = -76*o + 75*o + 1. Solve 6*z - 17 = 2*z - o*t, z - 1 = 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6646, -23790, -52362, -92362?\n\"Answer: -5714*z**2 - 2*z - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 18 and 19804672 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113810016 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 101, 227, 403, 629, 905?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440.6 + 404. Let z = p + 37. Which is the third smallest value? (a) -0.2 (b) -5 (c) z (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - 3*d - 24. Let z be m(-4). Let c(f) = -6*f**3 + 9*f**2. Let o(s) = 3*s**3 - 4*s**2. Determine z*c(p) + 9*o(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 15675 = -146323. List the prime factors of z\/32 - ((-3)\/12)\/(-1).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684435 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:18 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-27)\/4 + (-46 - -53)). Let z(s) = -2*s - 11. Give z(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**13*(q**(3\/5)*q)\/q**(-1\/3) assuming q is positive.\nAnswer: q**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -49*n**3 - 5*n**2 - 5*n + 9. Let q(u) = -u**3 - u**2 - u + 2. Give -k(s) + 5*q(s).\nAnswer: 44*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-56)\/21*9\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 - -4.31. Let m = 53.81 - a. Let s = m + -52.96. What is s rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from {x: 1, r: 1, l: 3, n: 4, y: 5}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1651740009 to the nearest integer?\nAnswer: 40642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 46, 6\/61, 6073?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*n - 10 = 37, 0 = -4*c + n + 55. Let b be (14*-1)\/((-1)\/11). Calculate the highest common factor of b and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 428.3\nAnswer: -856.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**3 + 5*a**2 - 47*a + 20. Let t(i) = 5*i**3 - 3*i**2 + 21*i - 11. Let h(r) = -4*l(r) - 9*t(r). Determine h(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/((-52332)\/(-490)) + 748\/(-24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:27 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 36*b - 2. Let a be d(-7). Solve -13*w + 118 = a for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4109 + 6812. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 4*o**2 + 4*o - 1. Let r be p(2). Let z = -4 + 2. Suppose -472 + 457 = 3*b. Put z, r, b in decreasing order.\nAnswer: r, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.2. What is the second biggest value in -2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) 61\/3 (c) 5 (d) 16 (e) 0 (f) -0.4 (g) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10 = 4*j + 4*d, -16 = -2*j + 4*d. Let l(p) = p + 2. What is the remainder when -4*j\/24 + (-29)\/(-3) is divided by l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 4*p**2 + 7*p + 22. Give n(-4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52563 or 52566?\nAnswer: 52563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 divided by -1051?\nAnswer: -1796\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5593*c - 18 = -5591*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33085272 and 341881144?\nAnswer: 1025643432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a**3 - a**2 + 118*a - 116. What is w(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + n + 46 = 0, 5*z + 5*n + 6 - 56 = 0. Suppose -3*g + z = -1. Factor 3*t**g - 6*t**4 + 2*t**3 + 4*t**3 - 2*t**3 - t**3.\nAnswer: 3*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300673 - -902020\/3. Determine p so that 5\/3*p**2 + 3\/2*p - 2*p**4 - 5\/6*p**3 - 2\/3*p**5 + i = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 85*n + 4 - 4. Let i be -2 - (-5 - -1) - 1. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5492, 4, -5, -1 in ascending order.\nAnswer: -5492, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 315531 + 46?\nAnswer: 315577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139320.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*r - 19, -27 = 4*m + 6*r - 7*r for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d + 52. Let s be f(-5). What is the nearest to 1\/4 in 0.5, s, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.027, 2, 4, -0.1, -0.2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856296 divided by 168.\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 f when four letters picked without replacement from jjjjjjjjjfffjjjjff.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 390, 1610, 3642, 6486?\n\"Answer: 406*h**2 + 2*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let o be 96\/10 + (224\/35 - 6). Let w be 2\/4 - 58\/(-4). Let s = o - w. Give j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 + 133*t**2 + 13*t + 6923. Let w(h) = 22*h**2 + 2*h + 1154. Let i(u) = -3*p(u) + 19*w(u). Find the first derivative of i(z) wrt z.\nAnswer: 27*z**2 + 38*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(72))**2 + -3.\nAnswer: 10365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, -4\/7, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52074*m**6 - 32001*m**2.\nAnswer: -6248880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 17643048.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2900, 5281, 7586, 9815?\nAnswer: 11968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 504933 and 28?\nAnswer: 14138124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*z, 105*m - 16 = 109*m - 4*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 18. Let g be y(4). Factor 36*v**3 + 37*v**3 - 68*v**g + 33*v**3 - 22*v**3 + 36*v**4 + 12*v.\nAnswer: 4*v*(v + 3)*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502103630 to the power of 1\/3, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/497710 and -37\/270?\nAnswer: 13438170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**3 + 1\/4*o**4 + 0 - 10*o - 1\/4*o**2.\nAnswer: o*(o - 1)*(o + 1)*(o + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/22031 - -1355546\/28530145. Calculate the common denominator of x and -49\/1110.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 203*w - 408. What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -9 + (-6 - -4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 89. Suppose 0 = 2*g - 8, -5*v - 3*g - 7 = -44. Calculate the smallest common multiple of v and b(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j. Is b(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -3405.\nAnswer: 22\/3405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 1:57 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5320?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 - 18*i - 11. Let l(p) = 15*p**2 - 12*p + 11. What is the remainder when l(5) is divided by f(-7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -85, -286, -589, -1006, -1549, -2230?\nAnswer: -3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, t: 6}. What is prob of picking 1 t and 1 o?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let h(o) = 12573005*o**2. Give z(h(w)).\nAnswer: 158080454730025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 14\/3. Suppose -2*v + m = -16, -2*v + 0*m - 4 = 4*m. Suppose -3*u + 5*u - v = 0. Solve 0 = -j*c + u + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16428*i. Let l(d) = 16*d. What is p(l(s))?\nAnswer: 262848*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-4)\/(-25))\/((-92)\/(-10)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61287486133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*g = -10, -i = 4*i - g. Put i, -2\/7, 1 in increasing order.\nAnswer: i, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 10*k**4 - 98*k**3 - 250*k**2 - 166*k - 24 = 0?\nAnswer: -1, -1\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -3. Which is the closest to 0? (a) 3\/5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8. Suppose p = 5*q + 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/(-1620))\/((-1)\/(-9)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*w - 34 = 0, -6*g = 3*w + 3564 - 3438 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w - 35*w = 0. Solve -20 = -w*s + 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 2*i**2 + 1 + 2*i**2)*(-4*i - 6*i + 13*i).\nAnswer: 6*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1155)\/(-6))\/(-11)*23\/((-1265)\/66)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21178*a**2 + 232953*a - 74. Determine s(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -487, -491, -499, -511, -527, -547?\n\"Answer: -2*t**2 + 2*t - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-448))\/((-2)\/64)*1\/(-3)*13.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -5)*(1 + 0). Let b = -1 + g. Is -4 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -475389378 + -51152483. Let w = -526541615.000203 - z. Let g = -246 + w. Round g to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 13*z + 12. Let x be a(-12). What are the prime factors of x + -2 + (-114)\/(-2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 30 - 30 + (-5 - 1 + 3)*((5 - 1 - 2)*(-9*w - w + 2*w) + 2*w - 4 + 4))*(4*w - 4 + 4).\nAnswer: 152*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 9*i - 9. Let g be n(-5). Solve -3*y + 0*v - v = -13, 2*v - g = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19430130 is divided by 2599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100011001011001000 (base 2) in base 15?\nAnswer: 7bb72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 3\/6*2. Let a be -4*10*1\/t. Solve 0*c = -4*c + a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4867783 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -p, -5*y = 4*p - 4 - 11. Suppose -2*t + t = 5*g - 7, -4*t - 3*g + 11 = 0. Suppose -t*d = -1 - y. Solve 4 - 14 = d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.184708 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 8841448*i + 8841452.\nAnswer: -4*(i - 1)*(i + 2210363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.5, -3\/5, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 3 + 3)*(-2*c - 2*c + 5*c) - 3*c**2 + 5*c**2 - c**2 + (c + 5 - 5)*(61 - 538*c - 4 - 55) to i*c**2 + f*c + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858445403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8*k)\/((k**(-9\/2)*k)\/k)*(k**28)**(-17) assuming k is positive.\nAnswer: k**(-923\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 169 or 1845\/11?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -89471\/1008?\nAnswer: -89471\/1008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.58001998 + -0.58. What is b rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 5.4\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89160 is divided by 698.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1114776 and 31\/385398.\nAnswer: 612012024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*r - 5 + 27 = 0, 0 = -3*h + r - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -25. Suppose -15*t + 14*t + 24 = g. Let f be (-8)\/t + (-4)\/6. Let z(q) = 2*q. Calculate z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/19 + -4\/57. Let p = 267722 + -267719. Let z = 4.3 + -4. Which is the closest to z? (a) 0.4 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -11*s - 12. Is (-4)\/6 - (-176)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6055 = 3*s + 2843. Let i = 240250\/81 + s. Are i and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -13 + 11. Suppose 252 = -k*j + 16*j. Let q be -3 - (7\/(-2))\/(9\/j). Solve -i + q = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*z**5 - 3540*z**4 + 67505*z**3 - 307350*z**2 - 359755*z - 94380 = 0. What is z?\nAnswer: -1\/2, 11, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 258 = 246 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 403*r + 659*r - 1 to a + p*r and give p.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - y - 3*y**4 + 0*y + (y**2 - 5*y**2 + 2*y**2)*(-y**2 + y - y).\nAnswer: y**4 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = -2*s, 7 = -s + 8. Put 2, -23, 4, g in ascending order.\nAnswer: -23, g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64962 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8988 and 13268?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-9)*(-3)\/(18\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334133 is divided by 193?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17025)\/20430)\/((-20)\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2 + 800*v + 39216 = 0.\nAnswer: -114, -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m - 6. Let x(t) = 27*t + 23. Let k(z) = 9*b(z) + 2*x(z). Let y be k(-14). What is the tens digit of y\/(-177) - ((-131)\/3)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -2, -0.3, -72?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 21915*q + 153304. Give p(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -40. Let b(y) be the first derivative of -3\/4*y**j + 0*y**3 + 2 - y**2 + 0*y. What is the second derivative of b(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1894 - -9265. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 5*w = 18*a - 82, -5*a - 4*w = -188. Suppose -j - a = 5*p + 1, 5*j + p + 137 = 0. Is j != -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - l**2 + l - 2*l**3 - 2*l**4 + 5 - 6 to the form w + r*l**2 + z*l + p*l**3 + h*l**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 4 - 4 - 1 - q + 1 + (1 - 3 + 4)*(-q - 2 + 2) + 3*q - 4*q + 5*q)*(3*q**2 - 4*q**2 + 5*q**2) to u*q**2 + t + s*q + z*q**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 151\/4. Let v = -31\/4 + 147\/20. Is v <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*o - 21 = 0, -5*o = -72*p + 63*p + 35. Solve -p*c + 24 = -k, -11*k + 16*k + 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-15)*(-9)\/(-2). Suppose 3*w = u*w. Suppose 2*v - 2 - 8 = w. Solve -2*j = -v*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2431 + -1724. What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 29*p = -49*p + 84, 0 = 4*j - 5*p + 57 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 + 5 + (2 + 3 - 3)*(1 + 1 - 3))*(2*f - 4*f + 0*f) - 2*f + 3*f + 5*f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -47. Find the common denominator of (-21)\/(-14) - u\/14 and ((-1)\/(-5))\/((-12)\/123).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*r - p + 26, 2*p + 18 = -2*r. Let q(g) = 7 + 2*g - 4*g - 3*g. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -2 (c) 0.9 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5238*g - 5245*g + 10479*g + 51, 4*u + 4*g + 264 = 0 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 16. What is the smallest common multiple of (2 - 0)*13\/26 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/5 + t**2 + 14*t. Let v be k(4). Suppose 2*n - 2*i - v = -0*n, 3*i - 613 = -5*n. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*g = 205*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6a75 (base 15) to base 9\nAnswer: 34012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295432, -295422, -295412, -295402, -295392?\nAnswer: -295382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002659 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6500 is divided by 3249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/33 + 16\/(-154). Let r = 8.5 + -9. Let v = 141\/4 - 565\/16. Which is the closest to v? (a) k (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16367312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.83? (a) 70 (b) -259 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 1 - 1)*(-i**2 + 0 + 0) + 5*i - 7081*i**3 + 14193*i**3 - 7088*i**3 + 2 + 3*i**2 to v + o*i + d*i**2 + l*i**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004355 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a micrometer in nanometers?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k - k + 2*k)*(3*k**3 - 2*k**3 + 2*k**3) + k**4 - 3*k**4 + k**4.\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 4 (c) -36.4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*y - 10 = 522*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z. Let n(y) be the third derivative of 0 + 0*y + 0*y**3 - 83*y**2 + 23\/12*y**4. Determine n(t(w)).\nAnswer: -322*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*s - 18 = 0, 3*s + 2 = -4*l - 2. Suppose 5*x = 3*o - 19, l*o - 10 = 4*x + 6. Suppose -4*k = n - 3, -k + 9 = 4*k + 3*n. Is o >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330 + 521. Suppose 4*c + 0*c - y = 5*t, -148 = -3*c - t. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -23*i**2 - i + 31. Let g(h) = 24*h**2 + h - 41. Determine 3*g(v) + 4*t(v).\nAnswer: -20*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/12 - 1571*p**2 + 2. Let d(w) = 24*w**2 + 2. Give d(j(o)).\nAnswer: 96*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24*m - 278. Calculate the lowest common multiple of 6 and s(12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 741*f + 90 = 751*f, 3*b + 3*f = 27 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**5 + 17*d**3 + 14*d**2 - 5616*d + 1 wrt d?\nAnswer: 260*d**3 + 102*d + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.65708 - 40.657. Let p = -2 - i. What is p rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 6*z + z + 2. Let l(x) = -x - 1. What is -3*l(f) - u(f)?\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2301 and -14.721.\nAnswer: -14.4909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2196 or -273?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -25*b**5 - 3565*b**4 + 131905*b**3 - 818615*b**2 - 593880*b + 360180 = 0.\nAnswer: -174, -1, 2\/5, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y - 57*y = -1152879. What are the prime factors of y?\nAnswer: 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**3 + 56*s**2 - 4*s - 4. What is t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33)\/sqrt(3) - sqrt(11)) + -5 - sqrt(88)\/(sqrt(8) - sqrt(128))) + -1)**2.\nAnswer: -4*sqrt(11) + 335\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and 0.1115657169056?\nAnswer: 38.1115657169056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvr when three letters picked without replacement from vvvggormwgmg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**2 - 39. Let a(h) = 1366*h**2. What is l(a(y))?\nAnswer: -24257428*y**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 670 and 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*z - 100*q + 97*q, 0 = 5*z + 4*q - 156. Let k = -2 - -7. Suppose -k*n - 85 = -10*n. What is the remainder when z is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 + -108. Let j = h + -56. Let r = j - 28.1. Which is the fourth biggest value? (a) -1.2 (b) 0 (c) 0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 at most 25781\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34323106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43451 (base 6) in base 2?\nAnswer: 1011101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167454 and 1772.\nAnswer: 334908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -28. Suppose -2*k - 5*s + 7 = -14, -2*s = -k - r. Suppose -k*o = 2*w - 5*o, 5*w + 4*o = -9. Are -13\/6 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x. Let o(q) be the third derivative of -43*q**5\/10 + 3976*q**2. Calculate r(o(n)).\nAnswer: 1290*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 15 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 16. Let r(o) = -8*o - 12*o**2 + 13*o + 4*o - 8 + 6*o + o**3. What is the tens digit of r(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = m + 8, 2*m - 2*p = 16. Suppose 79 = 3*t + m. Suppose 5*u - 49 = 2*l, -51 = -u - 4*u + 3*l. Calculate the remainder when t is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*h - 12*h + 3*h**4 + (-4*h**2 + h**2 + 4*h**2)*(-31 + 31 - 5*h**2).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15035644 divided by -10348?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237822 + 237822 - 2290*r**2.\nAnswer: -2290*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4. Let q(z) = -4*z + 23. Let k be q(4). Suppose 0 = k*i - 10*i - 12. Let o(c) = -c**2 + 1. Calculate i*o(n) - t(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33824.29cm in micrometers?\nAnswer: 338242900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 67 - 14 = 0. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*j - 5*m - 2602 + 2222, -5*j - 2*m - 53 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60790 divided by -6079.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10495212 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 4\/5, -5, 0.2, -694?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 2, h: 4}. Give prob of picking 2 h and 2 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 7, 939, 2 in ascending order.\nAnswer: -16, 0, 2, 7, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 + 1189*x**3 + 3836*x**2 + 4121*x + 1470 = 0. What is x?\nAnswer: -294, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/8 + a**4\/2 - 3*a**3\/8 - 9*a**2\/4.\nAnswer: a**2*(a - 2)*(a + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.89 - -224.11. What is the nearest to d in 5\/3, 0.4, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2375881 * 3\nAnswer: 7127643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1c126a?\nAnswer: -1c1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**2 + 19*f**2 - 8*f**2.\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/(3\/(-9)). Let i(j) = -1130*j. Let c be i(f). Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8438.4 rounded to the nearest 10?\nAnswer: -8440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqtqyqtkqyqqkggq. Give prob of picking 1 t and 2 g.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-81)\/60 - (28\/(-16) - -1). What is the closest to 1 in 4, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792 - 2*f**2 + 38*f**3 + 792.\nAnswer: 38*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjp when three letters picked without replacement from {p: 4, t: 5, j: 7}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (24 - 38 - -22)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266332, -532663, -798994?\nAnswer: -1065325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b*b*b**(-4\/7)*b))*b))\/b*b*b\/b**(1\/3)*(b*b\/((b\/((b**9*b)\/b))\/b*b*b))\/((b\/(b*b*b\/b**(6\/13)))\/b*b) assuming b is positive.\nAnswer: b**(2396\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19235719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14175\/(-735) - -2*(-1)\/(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 - -124. Let z = 8.701 - 0.101. Let f = z - 9. Put f, v, -2\/3 in increasing order.\nAnswer: -2\/3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 0.07. Let g = 12\/193 - -97\/1544. Which is the closest to 1? (a) g (b) -8 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23595 divided by 7865\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 221853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331 + 330.8. Let l = -2 + 1. Suppose -18*m + 16*m + 4 = 0. What is the closest to p in m, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 20 = 2*b, -94*g = -91*g - 4*b - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p. Calculate the common denominator of 99\/2 and a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -42*g - 7 + 21*g + 22*g. Give b(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 6416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 76*p**3 + 1 - 5*p**2 + 554*p**4 + 77*p**3 to the form n*p**2 + i*p**3 + b*p**4 + w*p + r and give b.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5 - 3. Suppose 3*b - 1485 = -2*b. Let p be h\/8 + b\/12. What is the greatest common divisor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*j = 5, 4*l - 4*j - 4 = 16. Suppose -l*t - 445 = -1565. Calculate the highest common divisor of 70 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1898 + 64*j**5 + 1898)*((0 - 1 - 1)*(-3 + 2 + 2) + 0 - 3 + 6).\nAnswer: 64*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(0 + sqrt(7) + -1 + sqrt(7) - sqrt(7)))**2*4.\nAnswer: -640*sqrt(7) + 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 22. Let t be 3\/12 - (-910)\/m. What are the prime factors of t\/9*3 + 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 15*m = -13*m + 28, 0 = 2*s - 3*m - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -322, -453, -642, -865, -1098?\n\"Answer: 4*a**3 - 53*a**2 - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4\/5 + 16*r**3 + 84*r**2 + 8*r - 2464\/5 = 0.\nAnswer: -11, -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 2*h + 3*h + (-3 + 2 + 5)*(-4 + 4 + h) - 2*h + 5 - 5 + (-1 - 167 + 79*h - 81*h)*(2 - 2 - 1).\nAnswer: 2*h + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -129*o + 69. Let d(f) = 193*f - 104. Let v(w) = 5*d(w) + 8*k(w). Does 33 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5*(sqrt(20) + sqrt(20)*-2) + sqrt(20) + -5*sqrt(320))\/(6*(sqrt(4) + 3*sqrt(8)\/sqrt(2))).\nAnswer: -13*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -10*w**3 + 385. Let d(u) = 2*u. What is d(b(t))?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/40 and -71\/2480.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3 = 3*i. Let m be (-2)\/i*3\/5. Let u = -552.9 + 553. Put u, -5, m in increasing order.\nAnswer: -5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73233.0000068303 + -73233. Round t to seven decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 23*o + 32. Is 27 a factor of g(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 4*a**2 + 2*a + 5. Let b be q(-1). Which is smaller: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8633, -8632, -8631, -8630?\nAnswer: -8629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 56. Calculate the highest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 56?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47034404 to three decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*s - 38, 48 = 4*f + 4*s - 6*s. Let j(a) = -2*a**2 - a + 40. Let i be j(0). Let h = 109 - i. Calculate the remainder when h is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-161 + 157)*(1715\/340 + -5)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.048 + 91.048. Sort 4, 5, 7, w in decreasing order.\nAnswer: w, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 29*r - 11. Let b be t(-14). Suppose 5*h + 4*x = 19, h + 2*x = -b*x - 13. Let n(v) = 3 - 3*v**2 + 4*v**2 - 9*v + 6. What is n(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -977 - -982. Let f = 2.17 + -2.4. Which is the biggest value? (a) n (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1237*d*o**2*p**2 + 2*d*o*p**2 + 789*o**2*p**2 - 2*o*p**2 wrt d.\nAnswer: 1237*o**2*p**2 + 2*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 659337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3*(-6)\/(-44) and (37557\/572)\/27 + (2 - 4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-10)*((-20)\/(-5) + -14). Suppose -140 = -p - k. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 2.5. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/635 + 539\/1905. Let w**2 - t + 2\/3*w**4 + 5\/3*w**3 - 1\/3*w = 0. Calculate w.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1222, 2251, 3084, 3721, 4162, 4407?\n\"Answer: -98*g**2 + 1323*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*(19 + -8 - 9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 709291.57747 - 3111.67157. Let s = a + -706149. Let x = s - 0.0059. Round x to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:04 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.013615nm in kilometers?\nAnswer: 0.000000000002013615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**10)\/u)**(1\/4)*u**(-2)\/((u*(u\/u**(-2\/11))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-53*(-558)\/9858)\/(441\/(-2))\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/5, -12.5, 2\/9 in increasing order.\nAnswer: -12.5, -44\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 + 205. Suppose -7*l - w = -4*l, 5*a - 3*l = -439985. Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7edb + -5?\nAnswer: 7ed6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416244 divided by -116.\nAnswer: -12209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 740 - 1236. Let g = 252 - 457. Let w = g - p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 + 94. Let v = n + 107.99999893. What is v rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19095636 divided by -4?\nAnswer: 4773909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*m = -13, -4*o + 96 = -3*m - m. Let g be ((-90)\/(-24))\/(-5)*(-4 + 3 - 3). Solve h + 2*r + 11 = g, 0 = 5*h + 3*r + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 14508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-1944)*9)\/(2\/90). Let w be (-7)\/(-1) + (-3 - -2). Suppose -w*j - 8 = -4*j. Sort j, a, 3.\nAnswer: j, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**(-6\/13)*m**(-1\/2)*m**(-3)\/m assuming m is positive.\nAnswer: m**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 7. Let c = -2 + -3. Let v be m(c). Let t = 33 - v. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 54031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -390*r + 234*r - 256*r - 7828 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + 5.69. Sort -2, 4, y.\nAnswer: -2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -743015 divided by 32305\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197\/(81952\/(-312))*((-6)\/(-9))\/((-29)\/(-4)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3005915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-9))\/(-5)*18. Let b(n) = n**3 - 6*n**2 + 3*n - 14. Let i be b(h). Suppose -2*r + 29 = 3*c - 4*r, 57 = 5*c + r. Solve i*o + c = -9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503463?\nAnswer: 3, 257, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10787182 or 10787184?\nAnswer: 10787182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340340\/(-24395) - 6\/123.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164034248 and 224?\nAnswer: 656136992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 8751 + 8989 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2*(5 + -1). Let x be (3\/2)\/(3\/(-6)). Let y = x + c. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 331 + 5*b - 165)*(-b - b + 4*b)*(1 + 2 - 6).\nAnswer: -30*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1575, -1\/5, -51\/8, 0.1?\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3152 or -21?\nAnswer: -3152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -6 - 0\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556 + 568 = 4*x + 2*b, 3*b = -3*x + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1.271\nAnswer: -0.1271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -36*k - 141. Let z(g) = -g + 1. Let x(n) = 2*a(n) + 54*z(n). What is the first derivative of x(l) wrt l?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2. Let c = -5 + 5. Suppose 3*r = -c*r. Let a(h) = r - 2*h + 0. Calculate j(a(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906265 to the power of 1\/2, to the nearest integer?\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r + 407. Let l be p(-57). Let x(n) = n**2 - 10*n + 10. What is x(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*n**2 + 2*h**3*n - 88*h**3 + 39662*h**2*n**2 + 4*h*n wrt h?\nAnswer: -12*n**2 + 12*n - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-13))**(-1\/2) assuming s is positive.\nAnswer: s**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*w + 132*w - 42. What is the third smallest value in -5, -0.7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9535779 and 189.\nAnswer: 66750453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599062 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**10)\/s)\/s**(-8\/3))**(24\/7) assuming s is positive.\nAnswer: s**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let a = -571\/2 - -2861\/10. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768.7402 months in centuries?\nAnswer: 2.3072835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*x - 2*p, -3*x - 11*p + 13*p = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) - 3 - -5. Let m be (-1)\/6 - 100\/(-24). Suppose 0 = -l*b + 3*o + 13 + 26, -2*o = m*b - 38. Solve u + b = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396978589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 13*u - 42. Let o be s(9). Let y be (18\/(-81))\/(2\/o). Factor -1\/2*f - y + 1\/6*f**2.\nAnswer: (f - 4)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18561 + 18574. Solve -2*w + z = 7, -5*w - s*z - 11 = -9*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (16 - (-3 - (2 + -11)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 - 362172*p**2\/13 + 16460706240*p\/13 - 5846607187136\/13.\nAnswer: 2*(p - 90364)**2*(p - 358)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + b - 100 = 3*b, -2*h + 34 = 3*b. Suppose h*m = 24*m - 106. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794267?\nAnswer: 101, 37567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3462799*c**3*j**3 - c**3 - 2*c**2*j - c*j**2 - 136*j - 8643 wrt j.\nAnswer: -20776794*c**3*j - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 175, -12\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 71 = 11 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkr when three letters picked without replacement from {z: 8, k: 3, r: 7}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + 30. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/6 - (-3)\/(-9) and -97\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3307 and 0.03.\nAnswer: -3306.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2, 13, 20 in ascending order.\nAnswer: -2, 0, 2, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-1)*5\/15. Let a be f\/(-3)*12\/4. Which is greater: a or -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 738.08 and -258229.\nAnswer: -257490.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 1, -237, -44.\nAnswer: -237, -44, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(105\/(-280))\/((-21)\/(-4))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 plus 29.8?\nAnswer: -310.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2459 + -1653. Let g = 1585 - 476. Let y = u + g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419 - 842 = 590*b + 11841 + 16056 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15936365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -3577 + 259. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 12*g**2 - 1146*g + 11414. What is c(10)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -132. Suppose -4*l + i + 38 = 5*a, -10 = -l + 2*a. Calculate the greatest common divisor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 46. Let t(j) = j**2 - 95146. Determine v(t(l)).\nAnswer: -l**2 + 95192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c + 3*c + (-4*c + c + 4*c)*(4 + 0 - 6) - 2*c - 2 + 2 - 381*c + 5619*c + 1869*c + 1027*c + 7032*c - 3.\nAnswer: 15161*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1364670 divided by 118.\nAnswer: 11565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -10) + (-2 - (-1 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t - 2 + 2)*(2 - t - 2) - 3*t + 2*t**2 + 3*t)*(-4*t + 6 + 5*t - 6*t) in the form z*t + o*t**2 + h*t**3 + v and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f - 39*f + 18330388 = 241*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300806.2 to the nearest 1000.\nAnswer: -301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q - 176. Let n(l) = 66*l - 1686. Let j(f) = -5*n(f) + 48*r(f). Determine j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 + 623. Suppose -5*f - 586 - b = -2*d, -5*d + 2200 = 3*f. Suppose d = -3*w + 14*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 47, 117, 245, 449, 747, 1157, 1697?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120000201 (base 3) to base 12\nAnswer: 640a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 4, f: 7}. What is prob of picking 1 f and 2 b?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -454 - 95. Suppose f*l = 66*l - 1570. What are the prime factors of l?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 32*d. Let u(j) = -2723360*j. Determine v(u(y)).\nAnswer: -87147520*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 198.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 73316219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -250*y**2 - 250*y - 125. Let u(c) = -2*c - 1. What is l(q) - 125*u(q)?\nAnswer: -250*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + ((sqrt(143) - -3*sqrt(143)*2) + sqrt(143))\/sqrt(11) + -4 + 6*(sqrt(1573) + -2)))**2.\nAnswer: -15984*sqrt(13) + 641988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 - 6*b - 7. Let u(h) = 3*h**2 + 3*h + 4. Give -11*u(n) - 6*v(n).\nAnswer: 3*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-202)\/101*2\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -1\/7*w**3 + 3\/7*w**2 - 3\/7*w + 9. Find f such that x(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -93. Solve -19 = 3*m - 2*i - 2*i, 4*i = f*m + 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.087 + -1.813. Sort -1\/5, -2, b, -2\/3 in descending order.\nAnswer: -1\/5, -2\/3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*q + 16 = -6*p, 4*p - 2*q + 2 = 0. Let w(r) be the first derivative of -1\/6*r**3 - p - 2*r - r**2. Solve w(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s + 1. Let t be r(5). Let b be (-2)\/t*6\/9. Suppose -1 = 2*d + 1. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1286982900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -3 + 2 + (-11)\/(-1). Suppose 246 = h*t - 506. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, j: 2, r: 1, b: 1}. Give prob of picking 1 j, 1 v, and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + ((4 + sqrt(1539) + 1 + sqrt(1539) + sqrt(1539) - sqrt(1539) - sqrt(1539)) + sqrt(1539) + -3 + sqrt(1539) + 0)**2).\nAnswer: -69265 - 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 708360.\nAnswer: -1\/118060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 738536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587, -580, -573, -566, -559, -552?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16637 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*r - 896, 529 = 5*t - 2*r - 592. Calculate the lowest common multiple of t and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 16) to base 12.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658 - -789. Find the first derivative of -15*v - b*v - 69*v + 278 - 20*v - 43*v wrt v.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**6 - y**3 - y. Let z(w) = -5*w**6 - 3*w**3 - 11*w**2 - 3*w. Let p(j) = 3*l(j) - z(j). What is the third derivative of p(f) wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 1. Let b be a(-1). Let u be (-2)\/6 + 42\/18. Let p = u - 4. Sort p, b, 1.\nAnswer: p, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 7. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*n + 150*n = 2*d - 2, n - d = 11 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**6)*x)\/x**(-2)*(x*x*(x*x**(-1\/3))\/x)**(-25) assuming x is positive.\nAnswer: x**(-131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 120, 1434, 3948, 7656, 12552?\n\"Answer: -v**3 + 606*v**2 - 497*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127117 - 321*s**3 + 127126 + 313*s**3.\nAnswer: -8*s**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, r: 4, u: 1}. Give prob of sequence rzr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22264)\/3872*12\/(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 0*o**2 - o - o**3 + 2*o**2 + 0*o**2. Give v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 7) to base 16\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:28 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 16*d - 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 7. Let l be s(-5). Let d = -31\/885 - 1181\/16815. What is the nearest to l in -5, d, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204313 (base 5) in base 13?\nAnswer: -36a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 7. Let t(s) = 10*s + 20. Suppose -4*h = -3*p + 23, 7*h - 3*h + 3 = -p. Let a be t(h). Sort a, -3, m in increasing order.\nAnswer: -3, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 44*y + 503. What is f(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -45, 20, 0.5, -1, -0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002431 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/16)\/(3\/16) + 111 + -114. What is the third smallest value in 66, z, -11?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 1196019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291035.\nAnswer: 5, 58207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*c**5 - 140*c**5 + 13000*c**2 + 2344*c**3 + 8788 + 50*c**5 + 19604*c + 164*c**4 + 52*c**5 = 0. Calculate c.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 1:58 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 749 = 8*h. Let m = -52 - h. Differentiate 34 - 74 + m*t**2 + 31 - 9*t**2 wrt t.\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 4*l**2 + 3*l + 3. Give q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2809722 by 1404861.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**3 + 212*h**2 - 412*h + 201. Let q(p) = -37*p**3 + 1062*p**2 - 2061*p + 1004. Let s(n) = -3*q(n) + 16*w(n). Suppose s(o) = 0. Calculate o.\nAnswer: 1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13617 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyyyjyiyjydydd. What is prob of sequence ji?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1460784 divided by -486928\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 4*b - 69 - 2438*b**2 + 254*b**2 - 589*b**2)*(-1 + 1 + b).\nAnswer: -2773*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 42*t + 45. Let i be z(-15). Sort 161, i, 3 in decreasing order.\nAnswer: 161, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:07 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 57*h - 20*h + h**2 + 64 - 269 - 13*h - 7*h. Give m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -732 + -910?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 4*z + 4*x - 2*x = -4, 0 = -x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9156*l - 218*l + 171103 - 127647 = -528576 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102281, -2101873, -2101465?\nAnswer: -2101057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 143, 272, 389, 494, 587, 668?\n\"Answer: -6*s**2 + 147*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216022535 a multiple of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 764041131 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.1655\nAnswer: -0.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + 9 - 9)*(v + 0*v + v + (0 + 2 - 1)*(-11*v + 18*v - 8*v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/72 and 11\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p + y = -102*p - 1, -3*y = -4*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let p(v) = -3*v**2 + 0*v**3 + 4*v**3 + 2 - d*v**3. What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 + -244. Let b = 1.5 - 2. Let y = 0.257 - 1.257. What is the nearest to 2 in b, s, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009831 rounded to six decimal places?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 9588698.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-6))\/4)\/((-20)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -35. Suppose 8*x = 5*x + c. What is the units digit of (-18 + x)\/(2\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waawaaaa. Give prob of picking 1 w and 1 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 5*z**2 - 2*z + 4. Let p be i(-3). Let m = p - -12. Suppose 2*t + 46 = m*t. Solve -5*x - 10 = 0, 2*q + t = -4*x + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/2352 + j**7\/735 - j**6\/210 - j**5\/210 + j**4\/56 + 20*j**2. Factor k(i).\nAnswer: i*(i - 1)**2*(i + 1)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -137. Let l = -0.4 + 5.4. Sort h, l, -2 in decreasing order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 22. Determine k(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*y = 514*y - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284160 = 321*n + 1932*n + 2187*n for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-576*h**2 - 38*h**2 - 9*h**2)*(25*h - 10*h - h) to the form g*h + t*h**2 + a*h**3 + x and give a.\nAnswer: -8722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464923 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6.2*10\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 v when four letters picked without replacement from {j: 5, v: 3, a: 4, s: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1657, -6989, -15881, -28339, -44369, -63977, -87169?\nAnswer: -113951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = -5. Let g = -26432\/17 - -1554. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23578831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 13 - -2 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55846 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (2 + -3 + -2). Suppose 0*y - 5*u - 80 = -3*y, -y = 5*u. What is the common denominator of (-124)\/(-5)*n\/y and 17\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19526.\nAnswer: 2, 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z + 5. Let h(q) = 244010*q. Calculate h(s(j)).\nAnswer: -1464060*j + 1220050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -5*sqrt(204)*1)*-1*-6)\/((2*sqrt(108)*-5)\/(-1*sqrt(9)*-5)).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6181 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 + 10253?\nAnswer: 9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, 2\/7, -65, -3\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 164025\/287350 - (-8)\/(-14). Let v = q + 82111\/18062. What is the common denominator of v and 39\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 9. Let t = 38 + -32. Let f = t - n. Sort 4\/9, f, 5 in descending order.\nAnswer: 5, 4\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -229.8 and 198.\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggggggwgggggg?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23904, -95484, -214784, -381804?\nAnswer: -596544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2058433151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-1768)\/(-338)))\/((2\/(-2))\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 360. Let u be 308\/g + 2\/(-12). Suppose 0 = -5*m + 20, -4 = 4*t - 4*m + 2*m. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270340739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -56. What is the first derivative of 0 + 3 - 18*k - o*k - 6 wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 37*m + 77 - 15 - 72 - 169*m to b*m + h and give b.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203737093.\nAnswer: 7, 29, 1003631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfjpppdmpomf. Give prob of picking 1 p, 2 f, and 1 j.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(0*m - 2*m + 0*m) + 4*m - 3*m + 2*m + 8*m + 145*m + 224*m in the form a + n*m and give n.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61032198 by 4.\nAnswer: 30516099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*v**3 - 12*v - 3*v**2 - 2 + 863*v.\nAnswer: -12*v**3 - 3*v**2 + 851*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 11*o + 11. Let m be x(-10). Let g = m - 1. Let c(k) = k**3 + 5*k**2 - 12*k + 15. Let i be c(-7). Is i at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4714842492 - -0.3\nAnswer: -4714842491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750\/9 - m. Factor 8\/9 + 22\/9*z**2 - u*z + 8\/9*z**3.\nAnswer: 2*(z - 1)*(z + 4)*(4*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -553.37 + -1?\nAnswer: -554.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1 + 16 + -12. Suppose 0 = p - 3*g - 8, 3*p + 4*g = -16 + y. Let h = p - -14. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008\/3 + 0 + -1 is divided by 162.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 801 - 927. Sort w, -5, 2, 0 in descending order.\nAnswer: 2, 0, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1445 + l**2 - 330*l**3 + 1443 + 359*l**3 to k*l + v + d*l**2 + m*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 2, y: 1, a: 3, w: 4, b: 3}. What is prob of picking 1 b and 1 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-5)\/(-40800)*5). Suppose 5*b - 393 = -5*s + a, -2033 = -5*s - b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m. Let a(p) = -3*p. Let j(x) = -7*a(x) + 2*d(x). Let s(w) = 2*w**2 + 6. Determine s(j(v)).\nAnswer: 2*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 22 + 9)*(2*b - b + 0*b).\nAnswer: -37*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652598 is divided by 326277.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 4 - 10. Let z be 12 + 4 + (-3 - q). Solve f + 2*p = -6, 5*p = -3*f + p - z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*i - 3*d, -d + 6*d = -3*i + 118. Suppose 402 = -38*q + i*q. Suppose -684 + q = -5*z. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*62\/(-3)*15\/70)\/((-2)\/14).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:39 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -2237, -4619, -7953, -12239?\nAnswer: -17477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1460a91 (base 11) to base 8.\nAnswer: -11434331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n + 1. Let q be j(3). Let h(k) be the first derivative of 3*k**2\/2 - 5*k - 1. Calculate h(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-6)\/(-90)*35\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 5*y - 22 = 0, -h = 2*y + 6. Suppose 0 = 3*n + h*n - 185. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1da19cd2 + 2?\nAnswer: -1da19cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -2*i, -2*b + 192 = -2*i. Suppose -111*j + 250 = -106*j. What is the greatest common divisor of j and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -5 (c) 0.5 (d) 2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (8\/16)\/((-4)\/(-8)). Put 0, 4, 5, t in descending order.\nAnswer: 5, 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8854 - 26161\/3. Let b = 649\/6 - k. What is the common denominator of b and -117\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3\/178, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 plus -732?\nAnswer: -732.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602999072?\nAnswer: 2, 13, 1449517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/12 + 130\/(-104)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 1 + (-6*sqrt(171)*1 - sqrt(171) - sqrt(171)) + ((sqrt(171) + -1)*-5 - sqrt(171)) + -2))**2.\nAnswer: -15120*sqrt(19) + 1207476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231151 is divided by 57571.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4)\/g)\/(g**(1\/3)*g))\/(g**(-1\/5)*g*g\/(g\/g**(2\/9))*g) assuming g is positive.\nAnswer: g**(-331\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -801572.2 and 4.\nAnswer: -3206288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -19. Suppose -2*n + i - 8 = 6*i, 0 = 3*n + 2*i + 1. Let b be 0 + n + 114 - 0. What is the greatest common divisor of b and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.212 + -88.222. Let d = n - -78. Let s = d - -0.01. What is the smallest value in 1\/5, -1\/9, s?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b + 1243. What is c(-99)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -27*f**2 - 1. Let c be y(1). Let u be -6 + c\/(-7) + 2. Solve -1 = l - u*l - z, 2*l + 16 = -5*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 127*r**3 - 12*r**2 - 14*r - 4. Let t(g) = 128*g**3 - 10*g**2 - 15*g - 3. Let z(j) = -3*l(j) + 4*t(j). What is the third derivative of z(w) wrt w?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjjxxxaa. Give prob of sequence xj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n\/n**(-1)*(n*n**(-3\/4)*n)**(-48))**(-18\/7) assuming n is positive.\nAnswer: n**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 5*i - 5*a, 14 = 4*i - 14*a + 15*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 733658373 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 10*f - 5. Let c(z) = 9*z**2 + 21*z - 11. Give 6*c(h) - 13*j(h).\nAnswer: 2*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -28. Let m = v + -17. List the prime factors of m\/(-3 - 28\/(-10)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 212.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491580698 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 17. Let s(c) = -9*c + 3*c**3 + 5*c**2 - 13*c + 9 + 6*c - f*c. Is 46 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 5*b**2 - 4*b. Let f be o(5). Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:35 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19898 by 38.\nAnswer: 9949\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 10*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from ggamrfnfgamg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**4 + 16*d**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 + f - 13. What is c(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60595 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 16*f - 12. Let b be t(-15). Solve 2*c = b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - 2*n**3 + n**3)*(11 + 4 - 11).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from ago.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 784\/(-42)*18\/(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. Solve 0 = j + 1, -3*n - a*j + j = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 + 1 - -3. Suppose -2 = -w + h. Let v be -2*w\/8*-4. Let d(r) = -4*r + 3. Give d(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 102495*z**2. Let a(c) = -c. Calculate h(a(n)).\nAnswer: 102495*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:15 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*2 + -2 - -2*(1 + sqrt(891)).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b**2*n**2 - 2*b**2*n + 49*b**2 + 2*b*n**2 + 3*b + 3*n**2 - 1 wrt n.\nAnswer: 56*b**2 + 4*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(63)\/(-1*2*sqrt(9)) + -5 + (-4*((sqrt(7) - sqrt(21)\/sqrt(3)) + 3))**2.\nAnswer: -sqrt(7)\/2 + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 159. What is the smallest value in 5, k, 2\/7, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, -0.1, 1, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -985 * 30040.\nAnswer: -29589400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98627.54 meters to nanometers.\nAnswer: 98627540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 0.18. Let b = n + -0.1000125. Round b to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 4435*b + 689850.\nAnswer: -5*(b - 1022)*(b + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**3 + 5. Let v be (-23)\/5 + (-2)\/5. Let j(i) = -34*i**3 - 7. Calculate v*j(g) - 7*s(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -4.7. Let t = 27 - 24. Let o = 0.2 - 0.3. What is the third biggest value in o, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((2 - -2)\/188). Suppose w = v + 2*f, -v + 161 = 2*v - 4*f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -45*g**3 - 2*g**2 - 3*g - 1. Let u(l) = -5*l**2 + 17*l + 77. Let t be u(6). Give i(t).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 94967144*j\/5 - 94967142\/5.\nAnswer: -2*(j - 47483571)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/158823 or 1?\nAnswer: 4\/158823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = 9. Suppose -c = -4*z - 37. Let v = 12 + z. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 + 545. Let w be -2*((-108)\/h)\/((-4)\/(-10)). Let n be 0 + (-2)\/(-2) - -1. Solve -x + w*o - 4 = 0, 0 = n*o - 4*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 201966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b1 (base 15) in base 6?\nAnswer: -11004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kctu when four letters picked without replacement from {k: 1, t: 2, h: 3, u: 3, c: 5, p: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 1 - 1)*(4474 - 1307*o - 4474)*(4 + 5 - 6) to the form i*o**2 + k*o + d and give i.\nAnswer: -3921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -2031346?\nAnswer: -18282114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.4, 2.1, 22198, -5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 4*g + 6, -3*t - 11 = -g. Which is the second biggest value? (a) -0.5 (b) 0.1 (c) t (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 1300?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105428888?\nAnswer: 2, 2753, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 + -3 - 0). Solve -t + 5*p + 4 = 0, q*p = -2*t - 0*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 92. Let l(p) = p**2 - 2*p - 28. What is the units digit of l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1056922 + -18?\nAnswer: -18.1056922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13976841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**8\/1848 + 32*n**7\/385 + 47*n**6\/330 - 16*n**5\/55 - 95*n**4\/132 - 2*n**2 + 82*n. What is s in o(s) = 0?\nAnswer: -95, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1370 - 208 = -3*t, -3*y - t + 1594 = 0. Calculate the smallest common multiple of 24 and y.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-46)\/4)\/(3 + 507\/(-174))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564810667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.5777km to centimeters.\nAnswer: 78257770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -47. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0, 41746, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.094 (c) 0.59 (d) 16 (e) 0 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 283660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-7)\/(-36)) - 2. Suppose 6*b - 1536 = 3*b - r, 2*r = 5*b - 2538. What is the greatest common factor of n and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3414? (a) -0.1 (b) 3\/4 (c) -1 (d) -0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - -8.4. Let q = -4 + v. Which is the biggest value? (a) -1\/3 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*k + 2*i - 16, 2*i - 3 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 315 = 6*k. Let w = k - 60. Suppose 36*i**4 + 49*i - 120*i**w + 36 + 39*i**5 + 184*i**2 - 181*i - 43*i**5 = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-5\/2))*p**(5\/4))**(-36) assuming p is positive.\nAnswer: p**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 128327219\/((-51354)\/(-51351) - 1). Let g = p + -373923304006080171\/170230. Let q = g - -2\/17023. Calculate the common denominator of q and 139\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3651*d**2*j**3 - d*j**2 - 3*d*j + 128*j**3 wrt d?\nAnswer: 7302*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 + n**3\/3 + n**2 + 5. Calculate g(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83977030 by 1.\nAnswer: -83977030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111341300.\nAnswer: 2, 5, 7, 159059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28326489.\nAnswer: 3, 83, 113761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985309899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000220146 to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 1. Let w be k(-11). Let g = 29 + w. Suppose -3 = 4*d + 9, -71 = -4*n - 3*d. Calculate the least common multiple of g and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18507368?\nAnswer: 2, 11, 19, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*l + 4*l + 0*l)*(0 + 3 - 1) + 2*l + 3 - 3)*(-5 + 0 + 2).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 34*q**3 + q**2 - 2*q + 1. Suppose -4*c + 47 = -45. Calculate the remainder when j(1) is divided by 1 + (c + -1)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -24. Suppose -j*m + 3 = 2*u - 99, 0 = 2*u - 3*m - 134. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169, -346, -525, -706, -889?\n\"Answer: -l**2 - 174*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.361 to 1 decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 + 461*b**3\/6 - 230*b**2 + 5409*b. Solve p(o) = 0.\nAnswer: 1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 122*d**3 - 3333*d**2 + 23936*d - 20480.\nAnswer: -(d - 5)*(d - 1)*(d + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 207794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z\/z**(1\/5)*z**(1\/3)\/((z*z*z**6)\/z) assuming z is positive.\nAnswer: z**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (341\/186)\/((-1)\/3)*192\/176?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -18*r + 17*r + 18 + 23 - 9 + 18. What is c(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 9*u - 4. Calculate the smallest common multiple of u and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/8)\/((s\/((s\/(s*(s**(-1)\/s)\/s))\/s))\/s))\/(s*s**(2\/5))**(-49) assuming s is positive.\nAnswer: s**(2839\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q + 4\/33*q**3 - 1 - 1\/22*q**4 + 3\/11*q**2. Factor a(d).\nAnswer: -2*d*(d - 3)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 15*z**3 - 2*z**2 + 4*z**2.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d = 28*d - 74*d + 209 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153 - -185. Let h be (-3)\/4 + (-516)\/(-16). Is h at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 495, -149, 5 in increasing order.\nAnswer: -149, 5, 7, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - (-30 - ((-5 - 1) + -2))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k)**(13\/3))**(-9\/4)*(k\/(k*k**(2\/7))*k)\/(k*k**(3\/4))*((k\/(k**(1\/4)*k))\/k)**33 assuming k is positive.\nAnswer: k**(-569\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 289 (b) -2\/7 (c) 2\/14707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -81\/610, 0.4, -0.8, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 16 = 3*i - 20, 5*u - 5*i - 21 = -86 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182386, -364754, -547122, -729490, -911858?\nAnswer: -1094226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017006288 a multiple of 3916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1802080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -3 (b) -2\/13 (c) 0 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-4\/9)\/((f**(-3\/11)\/f*f)\/((f**(-2)*f)\/f)) assuming f is positive.\nAnswer: f**(-425\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:56 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 993345 (base 10) in base 11?\nAnswer: 619351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - 5*f)*((1 - 1 - 2*f)*(1 - 2 - 1) + 4*f - f + f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o + 18*o + 11*o**5 - 30*o**5 - 25*o**5 wrt o?\nAnswer: -880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(121)*3 + sqrt(121) + sqrt(121) + sqrt(121) - (-4*sqrt(121)*2 + sqrt(121))))\/(3*sqrt(3564)*-1))**2.\nAnswer: 1859\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 42, -1\/10.\nAnswer: -1\/10, 0, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -u + 2*s - 7*s, u = s + 54. Let a = -199 - -231. Suppose -y + u = -a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1551, 0, -4, 3, -40 in descending order.\nAnswer: 1551, 3, 0, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g. Let y be z(-2). Suppose 2*o - y = d - 2*d, 5*o - 28 = -4*d. Factor -1\/3 + 2\/3*p + p**d.\nAnswer: (p + 1)*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**3 + 5*h**2 - 10*h - 8. Suppose 2*q + 28 = -2*q. Let v(g) = 7*g**3 + 4*g**2 - 9*g - 7. Let m(s) = q*v(s) + 6*k(s). Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, 1 h, and 1 b when four letters picked without replacement from {u: 5, d: 1, g: 2, a: 5, b: 6, h: 1}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -752+479.1223\nAnswer: -272.8777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.6 - 368784335?\nAnswer: -368784521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 5*a + 29 = 11*t, -4*a = -t - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6551567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12783?\nAnswer: 3, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 6*y**4 - 3*y**4 + 3*y**4 - y**4 + 0 - 1 + (-4 - 2*y**3 + 4)*(-5*y - 51 + 51).\nAnswer: 11*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6065 - 5997. Calculate the smallest common multiple of 374 and t.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from cvovvhogvgbvcb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 - 5*d + 5. Let b be s(3). Let x = 69 - b. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 8. Let s be b(-7). Let v = s - -41. Suppose x + 2*x = v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1934*b**3*m**3 + 9*b**2*f*m - 6*b*m**3 + 21*f*m**2 + 11*m**3 wrt b.\nAnswer: -11604*b*m**3 + 18*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/47 + 166\/235. What is the nearest to -1\/5 in -1\/5, -3, y, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/40 + 46865\/(-6825).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*o + 2651*o + 4*v = 18, -2*o - v - 12 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 6*l**2 + 0*l**2)*(l - l**2 - l + 4*l**2 - 10*l**2 - 3*l**2 + (2*l + 0*l + l)*(l + 1 - 1)).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594724 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.005395, -1, -0.3 in descending order.\nAnswer: -0.005395, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-87)\/(-54) - 1. Let a = l - -58\/45. Let p = 36 - 4. What is the common denominator of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/18)\/(5\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 8*s - i - 30, 0 = 4*s + i - 15. Suppose -s*q = -6 - 14. Differentiate 5*k**3 - 2*k**3 - 3*k**3 - 4 + 4*k**q with respect to k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(300))*-3)**2 + -4 + -5.\nAnswer: 360*sqrt(3) + 2727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (5 + 3*sqrt(3) - sqrt(3))) + -2 - (-5 + (sqrt(3) - ((sqrt(3) + -1)*-2 + sqrt(3)))**2).\nAnswer: -18 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003295 to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/7 (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i + 0*i - 138 - 149 + 401 - 137. Calculate a(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 119?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*j + 2197 = -1071 - 2726 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2))**(-7\/11)*y**(1\/2)\/(y\/(y**(-8)*y)) assuming y is positive.\nAnswer: y**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 130*f**3 + 1205*f**2 - 4680*f + 6480.\nAnswer: 5*(f - 9)**2*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65229935831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362453\/72 - -5031. Let s = 21\/8 + q. Which is the biggest value? (a) 3 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-34)\/51)\/((-1)\/((-18)\/(-4))). Solve 3*v = k*j + 3, -3*j + 6 = 2*v - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 5*t**2 - 2*t - 6. Let a be z(-5). Let h(v) = -a*v + 4 - 1 + 1 + 1. Give h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y + 20*y + 150 = -2600. Calculate the remainder when y is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 65*d**3 + 7*d**2 + 6*d + 13. Let s be n(6). Let w = s - 315443\/22. Find the common denominator of -57\/16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40714 minus -59.9678702?\nAnswer: 40773.9678702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*o + 3 + 23, 5*q - o = 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002462 to 6 dps.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*j + 17 - 0, 4*k - 4 = -2*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*p + 1198*p - 617*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 - 6*m - 4. Let z be k(7). Solve -4 = -p + z*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -67, -188, -419, -796?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14548*t**5*v - 9*t**3*v + 4*t**3 + 1373*t**2*v - 103*t - 2*v wrt t.\nAnswer: 872880*t**2*v - 54*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31790 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.39325*-0.5.\nAnswer: -1.696625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**7\/210 - 5*h**4\/6 + h**3\/6 + 29*h**2 + 2*h. Find the second derivative of n(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1229858 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 10*b**2 + 8*b + 11. Let n be u(9). Factor -2\/3*h + 1\/3*h**n + 1\/3.\nAnswer: (h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-1\/12)*r)\/r)\/r*r**(1\/4))\/(r**(1\/5)\/((r*r**(-6))\/r)) assuming r is positive.\nAnswer: r**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20934 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7477\/86220 or 0?\nAnswer: 7477\/86220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -16 - (-38 + 112)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4162.5 + 4162. Suppose 2 - 8 = 3*l. Let q(g) = g**3 + 3*g**2 + 4*g + 2. Let h be q(l). Which is the smallest value? (a) h (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -31*l - 1007. What is the tens digit of m(-59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 4, 0.07 in decreasing order.\nAnswer: 233, 4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13389, 13388, 13387, 13386?\n\"Answer: -q + 13390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4686?\nAnswer: 4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1117 + -5?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50\/158599 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -89944?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from uuuuvcuuuuucddubucu.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.3 (c) 1254 (d) -3.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.87198 to one dp.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10308 and 0.8?\nAnswer: -8246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 90 - 90 - 29*h. Let n(f) = f. Give n(x(d)).\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, -3.5, 25?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 - -0.4. Let j = 5 + -5.5. Let m = 0.8 + j. What is the third biggest value in m, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**2 + 19*t - 27*t - 2*t**3 + 5*t**2 - 9*t**3. Let j(h) = 10*h**3 + 4*h**2 + 7*h. What is -7*j(g) - 6*p(g)?\nAnswer: -4*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x. Let q be h(2). Let p = -960 + 965. Solve p*w**4 + 20*w**4 + 5*w - 5*w**3 - 15*w**4 - q*w**2 = 0 for w.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y + 3. Let f(s) = 9*s + 2. Let d(w) = 3*f(w) - 2*u(w). Let q(z) = -z + 1. Let x(m) = 6*m - 7. Let a(l) = -14*q(l) - 2*x(l). Calculate d(a(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = -27. Solve -3*a - g*a = j + 7, -2*j - 2 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116499 (base 13) to base 12.\nAnswer: -17b5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d - 4*h + 59 = -49*d, h - 6 = 0. Let l(o) = -8*o - 10 + 0*o**2 - 2*o**2 + o**2. Determine l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 5. Suppose 0 = -3*w - w + 8. Let f be w\/(-6)*0\/14. Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -199. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-576174)\/(-9) + (-5)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from pjmmjmj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 361 - 361. Let f be (((-48)\/(-20))\/(-6))\/((-1)\/(-2)). Put f, m, 0.1 in increasing order.\nAnswer: f, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 2*w + 0*w - 2*w**4 + (-5 + 3 + 4)*(0*w**4 + w**4 - 4*w**4) as a*w**4 + n*w + h*w**2 + l*w**3 + j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.18 - -6.163. Let y = i + -0.005. Round y to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 f, and 1 t when four letters picked without replacement from {f: 5, l: 10, t: 4}.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 29. Let u = 45 + -81. Let o = u - r. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blv when three letters picked without replacement from ywvssbsswyyyslvysssv?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35*-5.96\nAnswer: -208.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4104 + -3?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 4. Let b(p) = 1 + 2*p - 10 + p + g*p. Let s be b(12). What is the highest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 39410 = -3*c - 2*c, -c - 3*k = -7874. List the prime factors of c.\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -375?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -109, -289, -541, -865, -1261, -1729?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122687*r*z**2 + 2*r*z - 6*r + 12023018*z**2 wrt r.\nAnswer: 122687*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcckckkcckmmkkk. What is prob of sequence ckm?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35904 greater than 1184852\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(5\/10). Suppose k = -4*k + 25. Find d, given that -d**f - k*d + 0 + 5*d**4 + 1 - d**5 - 9*d**3 + 10*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 45302.\nAnswer: -17\/22651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3913*w + 453900. Determine z(116).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/60)\/(10\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322 - 60*m + 397*m + 321.\nAnswer: 337*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9653 + -9649. Sort 0.2, -4, 9, 1, p in ascending order.\nAnswer: -4, 0.2, 1, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**8\/10080 + u**5\/20 - 3*u**2. Let t(r) be the third derivative of a(r). Let z(f) = 2*f. Calculate z(t(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -6 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 95*t - 681. Calculate l(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008456427 to 6 decimal places.\nAnswer: 0.008456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.13512 to 2 decimal places.\nAnswer: 6.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/7 - (-24)\/28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1230 and 2001415?\nAnswer: 12008490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 718\/(-240) - 196\/3920 and -181\/780.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 5197920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)**(-2\/47)*((z*z*z**(-4))\/z)\/(z*z*z**(1\/5)*z))\/((z**(2\/5))**14\/(((z**(-1)*z)\/z)\/(z\/(z\/(z**1*z))))) assuming z is positive.\nAnswer: z**(-3488\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((7 + -2)*-1)\/(-1). Put -6, -0.5, x, 1\/5 in descending order.\nAnswer: 1\/5, -0.5, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 520\/90 - (-2)\/9. Let o be 24\/h*(1 - 0). Suppose 0 = -o*l - 11 + 63. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*n + 15 = -p, 2*p + 5*n + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*g - 2 = -0*i, g = 3*i - 14. Solve 4*n = 5*u + 13, n = -i*u - 0*n - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 17. Let w = o - 9. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 1, q: 2, g: 4}. Give prob of sequence bq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 55*m + 9573. Give g(-174).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1518837 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-14\/3)\/a)\/(a*a\/((a*a**8)\/a)))**(-40\/3) assuming a is positive.\nAnswer: a**(-400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111017938.\nAnswer: 2, 6263, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313482 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + (-40 + 44 - (35 + (-3 - 9))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16 and (-3)\/(-12) + 110\/(-104).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Suppose 0 = -4*l - 3*d - 29, 2*l + 1 = d + j*d. Sort 7, l, -3.\nAnswer: l, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206080000 rounded to the nearest one million?\nAnswer: -206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, 2, 4, -33435 in decreasing order.\nAnswer: 13, 4, 2, -4, -33435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 17.1. Let x = i - 11. Which is bigger: -8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563352018 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.92, 2\/3, 30 in decreasing order.\nAnswer: 30, 19.92, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5168214 + -6692837521\/1295. Let v = k - 18\/259. Calculate the common denominator of 59\/35 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6524*(0 + 226). Let g = i - -2\/233. Which is the biggest value? (a) 3 (b) -2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19480*z**2 - 4 + 7242*z - 40711*z**2 + 28477*z**2.\nAnswer: 2*(z + 1)*(3623*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 26*k + 5. Let x(v) = -v**3 + 39*v - 7. Calculate 7*b(n) + 5*x(n).\nAnswer: 2*n**3 + 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h - 6. Let i = 3 - h. Suppose -i*s - 2*s - q = -66, 4*q + 8 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.211\nAnswer: 3.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 7. Let n be m(5). Let i = 7 - n. Let b = -1209 - -1211. Calculate the highest common factor of i and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832 divided by 11?\nAnswer: -1832\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5013, 10011, 14997, 19971, 24933, 29883?\n\"Answer: -6*u**2 + 5016*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:03 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291984 and 1622976.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 65 = 4*v. Let s be (24\/40)\/(3\/10). Suppose -s*g = 5*c + 3, -g = -6*g + 2*c + 36. Calculate the remainder when v is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 17\/5*m**5 + 0*m**3 + 0*m**4 - 20 + 0*m**2 + 17*m. What is the first derivative of p(v) wrt v?\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/5*(-1 - 30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 390, 780, 1166, 1548, 1926, 2300?\n\"Answer: -2*l**2 + 396*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 14655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/15)\/(-92 - (-855724)\/9300)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + a - 29, -3*c - 4*a + 6 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10405, -20708, -30911, -41014?\n\"Answer: 50*q**2 - 10453*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9.89 (b) 8 (c) -11 (d) 0.07 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 105554?\nAnswer: -105554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r + r)*(-5*r - 32*r + 17*r)*(-3 - 4 + 3)*(-26*r + 28*r + 16*r) to j + t*r**3 + v*r + h*r**2 and give t.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiaa when four letters picked without replacement from aiiaiai.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 10, -4 in decreasing order.\nAnswer: 10, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/157 (b) -5 (c) -1\/4 (d) 117 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -208, -211, -188, -115, 32, 277, 644?\n\"Answer: 4*f**3 - 11*f**2 + 2*f - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 6*c**2 - 5*c**2 + (-494 + 494 - 163*c)*(-1 - 2*c + 1).\nAnswer: 321*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2792*v**4 + v**3 - 35*v**2 + v - 22999400?\nAnswer: -33504*v**2 + 6*v - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/576 and -31\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94644 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33326 bigger than 31273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 36. Suppose y + 100 = z*k - 0*y, -k + 3*y = -36. Suppose -22 = -5*s + 2*d, 3*s - k = -2*s + 4*d. Let w(o) = -o**3 + 4*o**2 + o + 3. Give w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 9:38 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -115\/4, -3, 31 in descending order.\nAnswer: 31, -3, -115\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 - l + 6. Let p = 0 - -2. Calculate y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (0 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*j - 9*j. Let c(w) = -w**2 + 6*w + 6. Let m be c(j). List the prime factors of m\/(-3) - (956\/(-12) - -5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 15*f**2 + 14*f - 8. Suppose 5*m + 2*m = -91. List the prime factors of u(m).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84135.45 micrograms to milligrams.\nAnswer: 84.13545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/3*(-54)\/60. Let q = 3.2 - 0.2. What is the closest to 1 in 5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1829734845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 16716349.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6957 and 13914.\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 381555*w**2 + 763095*w - 381545 = 0. What is w?\nAnswer: 1, 76309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -73652*l**2 - 2*l + 2. Let w(p) = -8*p**2. Give y(w(d)).\nAnswer: -4713728*d**4 + 16*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.79256 rounded to one dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k. Let m(r) = -4*r. What is h(m(w))?\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5399 less than -53076290?\nAnswer: -53076290.5399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245290 is divided by 2190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**30*l*l**(-31)*l*l**(3\/8)*l\/(l*l\/(l**28*l)) assuming l is positive.\nAnswer: l**(235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/2025*-63*(-6)\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(78)\/(sqrt(30)\/(sqrt(10)\/sqrt(2))).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*f**3 - 6 + 4 - 153*f**3.\nAnswer: -33*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4 - 572\/(-290))*((-25410)\/(-28))\/121.\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(12)\/(2*sqrt(6)) + sqrt(2)*-2*-5)*-4)**2 + ((-1*sqrt(162) + sqrt(2) + -5 + 2)*6)**2.\nAnswer: 1728*sqrt(2) + 93132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 3\/((-3)\/(-14)). Let r(b) = -144*b + 216. Let a(k) = 13*k - 19. Let m(p) = -45*a(p) - 4*r(p). List the prime factors of m(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 11 = -y, 16 = 3*h - 4*y. Let g = 50 + -49.7. Let i be 2\/(-7) - 51\/(-105). Which is the third smallest value? (a) h (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 8 = -23. Suppose -5*u = -m*d + 46, -6 = -3*u - 3. Calculate the remainder when d is divided by ((-25)\/(-10))\/(11\/44).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (126\/24)\/(((-2)\/(-28))\/((-142)\/(-2485)))\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11878 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 3, m: 1}. What is prob of sequence mqx?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/12*3*1\/2. Suppose -10 = -3*c - l, -4 = -y*c - l + 10. Suppose 0*s - 5*s + 2*i + 2045 = 0, -4*i = -c*s + 1648. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(450) - sqrt(50)) + sqrt(50))\/(-4*(-2*sqrt(10) - sqrt(10))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*m**2*v + 161*m**2 - 21220*m*v + 113*m wrt v.\nAnswer: -8*m**2 - 21220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/24 - -9\/8. Let g be (9\/(-1620))\/(1\/(-2)). Let b = g + 7\/18. Are b and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5442 is divided by 5217.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208068 is divided by 9456.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gcggcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -8, -0.4, 54, 3.8, 0, 10?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1080674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w + x - 1, w = -2*x. Find the second derivative of -q**3 + 7*q**w - 7*q**2 - 4*q + 0*q**2 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343616 divided by -364\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 58, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -3. Let s be (9\/(-6))\/(k\/8). Let n be (-4)\/6*6\/s. Put -4, 1, n in descending order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-58*h - 366*h - 162*h) - 2*h + 7*h + 18*h + 22*h to the form l*h + d and give l.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 57 = -7*c - 19, -3*c = 4*s - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 2, n = -4*s + 2925. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3\/13 (b) 19.9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 562 in 0.3, 4, 0.0306?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 193*q**2 - 165*q + 4. Let o(b) = 195*b**2 - 167*b + 5. Let v(z) = -4*o(z) + 5*r(z). What is the second derivative of v(s) wrt s?\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 + 4*l + 4. Let o be h(-3). Calculate the highest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024662822 rounded to 7 decimal places?\nAnswer: -0.0002466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1256 - -1259. Sort 2, z, 0.5 in decreasing order.\nAnswer: z, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10438)\/11620 - (-3)\/(-12). Let w = b - 1\/581. Calculate the common denominator of 52\/7 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -109650.5 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-744)\/(-104) + (-4)\/26 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-117))\/(27\/117). Suppose 0*p - p = 0. Which is the second biggest value? (a) p (b) -1\/9 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344874 + -8806.\nAnswer: -353680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.334 + 0.216. Let q = 10.2 - k. Let i = q - -5. Round i to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {q: 6, c: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90 + 5?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.1 (c) 1\/159 (d) 5 (e) 11 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 5) + -12 + -53.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 1.61. Let i = s - 1.8. What is the nearest to 0 in -1, i, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280686872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1723 - 177. Let u = i + 2537. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, i: 2, z: 5}. What is prob of picking 1 i and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:41 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11101111011001000 (base 2) to base 7\nAnswer: -1020225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 779 - 438. Let o = k - 501. What is o rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 141. Let f = -17 + h. Solve f*l = -2*o - 2, -2*o = 5*l - 4*o + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5971 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from {f: 1, p: 2, l: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368148905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 3. Let g(i) = -2*i**2 - 7*i**2 - 4*i**2 + 3*i**2 + 14*i**2. What is w(g(a))?\nAnswer: -8*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/5*1*-5. Let b = 30 + -32. What is the units digit of (-73)\/b - 4\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 107*n - 100*n. Suppose 2*o = 4*o - 36. Calculate the lowest common multiple of n and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 - 2*h**3 + h**3 + 35*h**2 + 2 - 32*h**2 in the form w*h + q*h**2 + p*h**3 + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 225293, -3, 19 in increasing order.\nAnswer: -3, 6, 19, 225293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let o(g) = 132*g. Determine t(o(i)).\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 3*j**4 + 7*j**4)*(-1 - j + 1) + (4*j + 4*j - 2*j + (-3*j + 5*j + 0*j)*(-2 + 3 - 3) - 3*j - j + 6*j + 3 + j - 3)*(-7*j**4 - 8*j**4 + 4*j**4).\nAnswer: -57*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/2 (b) -56 (c) 184601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -19, 62 in descending order.\nAnswer: 62, 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -13\/5 (c) -219 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 6007525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 - 26. Let s be d(-4). Let f = 61 - 37. Suppose m - s = -2*m - 3*g, g + f = m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/2 - 3*l + 3. Let p(n) be the first derivative of c(n). Let g(r) = -3*r**2. Determine g(p(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162932295?\nAnswer: 3, 5, 29, 374557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k + 9*k**2 - 438*k**3 + 439*k**3 - 6 + 0*k. Let p(c) = -7*c - 1. Let a be p(1). Calculate the remainder when 38 is divided by t(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**6\/18 + 3*x**5\/5 + 7*x**4\/2 - 64*x**3\/9 - 16*x**2 - 2147. Suppose l(z) = 0. Calculate z.\nAnswer: -4, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + d. Let i be (2 - 2)*(-1)\/1. Let p be (10\/(-4) - -2)*i. Let a be p\/8 - (0 + 1). Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 2*sqrt(99))*-5.\nAnswer: -180*sqrt(11) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjhbvb. What is prob of picking 2 b and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122994*w + 3*m + 19 = 122995*w, w - 33 = -11*m for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8730 + -7696. What is the greatest common factor of 376 and l?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(2) + 0 + (1*sqrt(22))\/sqrt(11) + -1).\nAnswer: -16 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p + 1. Let b(f) = -2*f**2 - 10*f + 3. Give b(j) - 4*z(j).\nAnswer: 2*j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, -6 in descending order.\nAnswer: 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Suppose -4*u = -2*o + 60, t*u = 5*o + 3*u - 150. What is the remainder when o is divided by (-2)\/(-6) - 47\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46313247 to the power of 1\/2, to the nearest integer?\nAnswer: 6805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 23. Suppose 4*k - 2*r + 7*r - 33 = 0, -3*r = 2*k - 19. Suppose 6*p - k = 172. Calculate the remainder when p is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45.246 and 197766.206.\nAnswer: 197720.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*u = 34*u + 20*u - 3320. What is the smallest common multiple of (-1)\/3 + 219\/9 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 46*p**2 + 45*p + 5. Let b be h(45). Solve 2*k - 3 = -3*o - 4, -b*k + 17 = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 - 9*a - 5. Let v be 48\/9*21\/28. Suppose v*y + 12 + 8 = 0, 2*u + 3*y = -15. Let o be (-54)\/24*-4 - (0 - u). Calculate b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:45 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/(3\/(-4)). Let c = 165 - 164.09. Let n = -0.71 + c. What is the smallest value in n, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m + 8*m**2 - 28*m - 5*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28434 + 38468. Which is bigger: q or 10033?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288659153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/6)\/60*-3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 - 141946?\nAnswer: -1418c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:11 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b + 66. Let v(m) = 7*m - 67. Let i(d) = 5*h(d) + 4*v(d). Let p be i(-20). Sort -5, p, 12, -2.\nAnswer: -5, -2, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 - 38*p + 74. Determine x(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-16) + (-21)\/(-4). Let i(f) = f**2 + k*f - 8*f + 0 - f + 3. Calculate i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/34 - -1361\/68. What is the common denominator of a and -109\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1309, -7 in increasing order.\nAnswer: -1309, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*q + 29 - 11, -2*q + 4 = 0. Calculate the greatest common factor of i and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:29 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 24. Let s = 18 + d. What is the smallest value in 5, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.02.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(3\/96) - -2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-30))\/((-578)\/102). Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48891*s**5 - 3*s**2 + 155965?\nAnswer: -2933460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66*-0.08205.\nAnswer: -0.054153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**4 - 6*q**4 - q**3 + 2*q**2 + 8*q**4 - q + 3*q**3 + 9*q**4 + 19 to the form t*q**3 + n*q**4 + f*q + k + a*q**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 604253237*j**5 - 788647380*j.\nAnswer: 12085064740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -27. Let b(a) = a - 2. Let m be b(t). Suppose -4*q + 259 = m*p, 70 = -0*q + q + 3*p. What are the prime factors of q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226496639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v + 2*v**2 - v**2 + 2 + 0*v**2. What is the units digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36156662 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 912\/21504*8 + 48\/21 + -2.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -336*s**3 - 49*s**2 - 49*s + 49. Let l(v) = -14*v**3 - 4*v**2 + 2 + 129*v - 3*v**2 + 5*v**2 - 131*v. Determine -4*i(n) + 98*l(n).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 14. Suppose -4*v - 5*i + z = -v, 0 = 4*v - 5*i - 21. Calculate the least common multiple of 14 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 16. Let j be q(-6). Which is the second smallest value? (a) 0 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000720436 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -152295.\nAnswer: 2\/11715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11*s + 8. Let l(x) = 4*x - 3. Suppose -8*w = 397 + 315. Let m = w - -81. Determine m*l(r) - 3*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1630 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326062 is divided by 1983.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m + 16 = 0. Let f be (-20)\/m*2*1. Let p = 0.2 + -0.3. What is the closest to p in -2, 2\/13, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 25*k + 546. Calculate the remainder when 285 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1207622 + 1207621.8243109. Let o = -0.1756 - u. Round o to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(24)\/sqrt(4)))\/(sqrt(588)*-2 + sqrt(12)) + 5.\nAnswer: -sqrt(2)\/13 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqxw when four letters picked without replacement from xpswqwwswsqqqpqqw?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1840*g**4 - 31*g**3 - 322555*g**2 wrt g?\nAnswer: 44160*g - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sczzassczcnnacnccc. Give prob of sequence cas.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.18 - 1.28. What is the second biggest value in j, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15230622629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25770 is divided by 5142?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -x + 2*a, 14 = 2*x - 2*a - 8. Is 4 a factor of (-23)\/(-69) + 124\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 2760354*i - 80048584.\nAnswer: -2*(i + 29)*(i + 1380148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*v - 5, 2*v + 2*v = 3*o + 4. Solve o = -c + 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*y - 5*y = 47, -3*y = -j - 19. Let o(i) = -i**2 - 9*i + 13. Let k be o(j). Suppose k*b - 19 = 26. Solve h - 4*v = -v + 17, 5*h - b = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 4. Suppose -8*m + 3*m = -u - 133, -m + 3*u + 35 = 0. Let x = c + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 10 in descending order.\nAnswer: 10, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*f + 20, 3897*f - 1945*f - 38 = 2*v + 1956*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 17*l**2 - 14*l**2 + 38*l**2 - 4*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -15. Let y(h) = h**3 - 5*h**2 - 2*h - 5. Let j be y(w). Solve -4*c = 7*t - 4*t - j, 13 = t + 3*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2948894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 12*g - 1. Let o be y(-11). What is the tens digit of ((-164)\/8)\/(3\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597324 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 144724.3?\nAnswer: 144720.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + -3 + sqrt(252)))**2 - (-5 + 1 + sqrt(847) + sqrt(847))**2.\nAnswer: -496*sqrt(7) + 2228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5615706 to the power of 1\/2, to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-193119)\/(-4))\/(-17 + 20). Let x = g + -1478677\/92. Let f = x - 1\/138. Calculate the common denominator of f and -28\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*u**3 + 1)*(-139*u + 98*u + 18 - 6*u).\nAnswer: 94*u**4 - 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010393 rounded to five dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 6 = 24*a. Let j be -25*((-26)\/(-10) - a). Suppose -j*y + 69 = -31. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1814)\/(1*-1) - (-930 - -938).\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k - 64*k + 763*k**2 + 25*k + 3580*k**2 + 20*k - 100 wrt k.\nAnswer: 8686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260183 and 1846?\nAnswer: 480297818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from veellyfvb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, 43\/4, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k**3 - 11*k + 3. Let d(h) = 4*h**3 + 4*h - 1. Give 17*d(q) + 6*z(q).\nAnswer: -4*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 4*u - 8 = -7*b, -u + 22 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1808512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1847 + -9236\/5. Let o = 2.8 + -3. Which is the closest to o? (a) 2\/7 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) + (sqrt(342) - (sqrt(342) + (sqrt(342) - (sqrt(342) + sqrt(342) + -1*sqrt(342)*-4)))))\/(6*(-2*sqrt(32) - sqrt(2))))**2 + 1.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/5 - 1798*n**4\/5 + 14222*n**3\/5 + 30414*n**2\/5 - 106704*n\/5 - 192456\/5 = 0.\nAnswer: -2, 3, 9, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 43*g**2 - 469*g + 148. Calculate a(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + w. Let g(o) be the second derivative of -o**4\/2 - o**3\/2 - o**2\/2 - 33*o - 2. Give 2*g(s) + 7*l(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7590 = 1309*z - 1079*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11860267339 to 5 decimal places.\nAnswer: -0.1186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 2. Let n = 3 + y. Let i(f) = -f - 5. What is the lowest common multiple of n and i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c - 28. Let k(f) = 9*f - 13. Let w(l) = -5*k(l) + 3*v(l). Let m(y) = -y + 9. Determine -5*m(d) - 2*w(d).\nAnswer: -d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99b2 (base 13) to base 6.\nAnswer: 243131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -79. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-2)\/(-4)*2. Suppose 5*f - 40 = -c*f. Let i = f + -2. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 + -355. Let x(j) = -j**3 - 4*j**2 + 6*j + 7. Let c be x(-5). Suppose v - 97 = c*p, 4*p + d = -v - 3*v. Find the common denominator of 47\/10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766505 divided by -3?\nAnswer: -766505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 425*h + 1277. Let o be i(-3). Solve 25\/3 - 10*a + 5\/3*a**o = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/54 and 60\/(-110) - (3 - (-4573)\/(-1386)).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 446302087*w**3 - 99902565*w?\nAnswer: 2677812522*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -3)*((-105)\/9)\/(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 69114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 6. Let j = -6 + n. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let z be 1\/(-3) - 5\/6*-40. Let g be (-1)\/(-4 + z\/9). Let b(p) = -4*p - g - p + p. Calculate b(f) + 3*i(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-420)*(-6)\/(-15))\/((-39)\/91)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -552 + 559. Let w(p) = p - 2. Let i(a) = 2*a - 4. Let u(l) = 3*i(l) - 5*w(l). Let h be u(b). Solve -y - h = -6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245089, -244629, -244169?\nAnswer: -243709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 215678?\nAnswer: 2\/107839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -11. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 151) + (-19 - -76).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q + 20. Let l(v) = 4*v + 6. Let n(w) = -3*d(w) + 10*l(w). Let j(f) be the second derivative of -29*f**3\/6 - 3*f. Give j(n(y)).\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(425) + -2).\nAnswer: -72 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.215 + 0.085. Let n = -0.3 + g. Let j = -0.32 - -0.02. Sort j, 2\/15, n in ascending order.\nAnswer: j, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1686928*g**3 - 739139*g**2 wrt g.\nAnswer: -10121568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219\/908 + 2\/227. Factor -x*l + 0 + 1\/4*l**3 + 0*l**2.\nAnswer: l*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24771557.478 and -1681.\nAnswer: 24769876.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/5 and -30\/2048327.\nAnswer: 10241635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -708 - -1020. Calculate the greatest common divisor of 39 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d + 20 = 0, 5*a - 2*d - 553 = 0. Let i = -67 + a. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195.8799847097 + -3.1200144603. Let i = -8.5 - -207.5. Let h = l + i. Round h to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 540346860.\nAnswer: 540346857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - l + 3*l in the form k*l + c and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:21 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, -5, -17\/16, 1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - -1 - (-304 + 316).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v - 9*v. Is ((-16)\/4 - v)*-583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2\/5 + 44956*i\/5 + 15493800 = 0.\nAnswer: -9114, -2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:33 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7714034?\nAnswer: 2, 79, 48823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:33 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/48)\/((-33)\/264))\/(6\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*p - 3 = 0, 0 = -4*w - 0*w + p + 5. Let b(i) = 2*i - i**3 - 4 - 1 - 2*i**w + 1 - 3*i**2. What are the prime factors of b(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*w**3 + 88*q*w**2 - 100*q + 1530614*w**3 + 595*w**2 wrt w?\nAnswer: -6*q + 9183684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285*t + 1285*t - 26*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 = -d, f = 4*d - 0*f - 17. Solve 0 = -s - s + d*z + 8, 3*s - 12 = 4*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h**2 + 0)*(-2*h**2 + 10 - 25 + 17) as t*h**2 + c*h**3 + z*h + p*h**4 + f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 12. What is the tens digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6092614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let o(h) = -21 + 9*h**2 + 21. What is m(o(r))?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(3\/4)*k**(-3)\/(k**7*k)*((k*(k**(-1\/2)\/k)\/k*k)**24)**31 assuming k is positive.\nAnswer: k**(-3827\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(91)*3 + (sqrt(91) - ((sqrt(91) - (sqrt(91) + 5*sqrt(91)*-1 + sqrt(91))) + sqrt(91) + sqrt(91))))\/(sqrt(252)\/(sqrt(4)*-1)*1) + 3.\nAnswer: 3 + 17*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34999 = 9622*r + 37383 - 275712 - 441344 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*a - 3, 0 = -5*a - 3*r - 0*r + 6. Solve -w + 0*w = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4))\/(10\/280*8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -531a + 2?\nAnswer: -5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2598 and 362999055.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-1\/3))**(-35)*m**(-2)*m\/((m*m\/m**(-1))\/m))**(-1\/49))**(-12) assuming m is positive.\nAnswer: m**(-1016\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534878?\nAnswer: 2, 3, 71, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3013 - -6253\/2. Let n = t - 114. Is n less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-45) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-2420)*(325\/(-30))\/13.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1294*c*o*p + 459074*c*o - 10*c*p + 18*c + o*p + 84*p wrt p.\nAnswer: -1294*c*o - 10*c + o + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 1:02 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 458761715897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11356144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52510*p**4 + 60823*p wrt p?\nAnswer: 630120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134984 is divided by 469?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0148025mg?\nAnswer: 0.0000000148025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*t**4 + 2759*t**3 + 2*t**2 - 30370 wrt t?\nAnswer: -40*t**3 + 8277*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwwcqfdqdcdqfqccf. What is prob of sequence qddc?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.635 + 24.2227\nAnswer: 25.8577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1784)\/(-16) - 3\/(-6). Let z = 287 + -175. Is b at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3012795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 65\/(-26)*(-1)\/(-10)*48\/(-6). Let n(k) be the third derivative of 1\/36*k**4 + 0*k**5 + 0*k**3 + 0*k + 0 - 1\/180*k**6 - q*k**2. Factor n(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -24. Let u(b) = b**3 - 2*b - 1. Let h be (-1)\/(-5) + (-24)\/20. Let s be u(h). Solve -4*g - 3*c - r = -0*c, -5*g + c - 25 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Let y(n) = n**3 - 10*n**2 - n + 12. Let t be y(o). Suppose 5*c + d = 65, 0 = 4*c - 6*d + t*d - 76. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1736 by -28.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21617 = -5*d, 2*d = 7*c - 6*c + 8651. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 8*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1246 or -0.1?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((63\/(-27) - -7) + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265766655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*l**4\/5 - 328*l**3\/5 - 54*l**2 + 202*l\/5 + 12\/5 = 0. Calculate l.\nAnswer: -3, -2, -1\/18, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1686 - 1165. List the prime factors of k.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s)\/(s\/s**(-5)*s))**(2\/13)\/(((s**(-1\/4)*s)\/s)\/s*s**(-9)\/s*s**(-4)\/(s**(2\/5)\/s)) assuming s is positive.\nAnswer: s**(3849\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -887*c**3\/3 + 1619*c - 220. Differentiate l(z) with respect to z.\nAnswer: -1774*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 8*f - 2701*f**2 + 2700*f**2.\nAnswer: -f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*b**3 - 6*b**3 - 12*b**3)*(7 - 2 - 4)*(0 + 1 - 10)*(b + 6*b + 5*b).\nAnswer: -2376*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10841 and 38887?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135670171 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/2)\/11*2*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20132 + 11?\nAnswer: 20143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (402\/2)\/(-3) - -2. Let n be 4\/(-10) - (t\/(-25) + -5). Suppose -n*x + 8*x - 240 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -144, -410, -912, -1728, -2936, -4614, -6840?\n\"Answer: -13*y**3 - y**2 - 14*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 4*v - 72. Calculate z(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.6, -2\/21, -2\/7, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2184 and 929704776.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/70*18*55\/(-44) and 89\/74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1060*m**2 - 22*m + 248. Let w be n(9). Round w to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 9) to base 12.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.2 (c) -2\/17433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 541663341 + -1.9421.\nAnswer: 541663339.0579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*c, -3*t = 2*t - 4*c + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v + 1. Let o be y(-6). Let m(w) be the second derivative of w**5\/5 + w**4\/12 - 15*w. Give m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**2 - 160*z + 4845 = 0.\nAnswer: -51, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.1 less than -0.2?\nAnswer: 220.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*v - 13. Let f = -8 - v. What is the tens digit of 214\/f - (-8)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0*j + 4*j + 4 + j. Is 8 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 4, n: 4, t: 6}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 17*p**2 + 6*p - 6. Let z(u) be the third derivative of 77*u**5\/30 + 55*u**4\/24 - 55*u**3\/6 - 186*u**2. Calculate 55*f(i) - 6*z(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyu when three letters picked without replacement from yuyyyyyuyyyyuyy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8842, -17656, -26470?\n\"Answer: -8814*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 629.0138 centuries?\nAnswer: 62901.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/6 + f**3\/2 - 7*f**2. Differentiate g(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + 3*p = 0, -5*d - 5*p = 0. Let a be d\/((4 - 0)\/(-4)). Suppose a = -12*y + 16*y - 3652. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 1478*w**3 - 1549611*w**2 - 655637590*w - 168600940913\/2.\nAnswer: -(w + 223)*(w + 911)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 10*b + 8. Is 32 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**5 - w**3 + 2*w**2 - 3. Let x(y) = 75*y**5 + 1080*y**4 - 1947*y**3 + 1056*y**2 - 180*y + 18. Let d(p) = 6*s(p) + x(p). Find i such that d(i) = 0.\nAnswer: -15, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218736 is divided by 596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/(1\/(-9)). Let u = 14 - n. Solve 1\/2*c**2 + u - c = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*z - 706, -3*h + 3*z + 951 = h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (138\/115)\/((-6)\/(-70)). Let l = -20 + w. Let p(h) = h - 2*h + 3*h - 3*h - 4. Calculate p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*x - 1660, 3290 = -4*l + 6*l - 5*x. Suppose l = 8*r - 3*r - 5*f, -2*f = 4. Calculate the greatest common divisor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irridriddrdd. What is prob of picking 1 i and 2 r?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*y + 84*y = -28. Let t be -2 + y - (-50)\/(-8). Which is the closest to 2? (a) t (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -80702.059 + 80788. Let c = 0.059 + z. Let v = 88.01 - c. Round v to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.23 - -1.3. Let b = m + 0.68. What is b rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5878.5 + 5879. What is the nearest to 0 in 1106, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:33 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 6375.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652046 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 + 5 = -3*s, 0 = -2*w + 2*s - 10. Let b = 5 - 3. Suppose -u + b = 6. Sort u, w, -3 in increasing order.\nAnswer: u, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 1 - 1 + (4*h**2 - 6*h**2 + h**2)*(-3 - 3 + 4) + 3*h**2 - h**2 + 0*h**2 + (0 - 2*h**2 + 0)*(2 + 2 - 3).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5545 + 21*u**2 + 0*u**2 - 5545.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 140 = -6*c. Let s = -4 + c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6*k + 8*k - 13*k as z + o*k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 + 40*j - 158. Let z be a(6). What is the highest common divisor of 6394 and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 + 6. Let i(l) be the third derivative of -2*l**5\/15 - 5*l**3\/6 - 4*l**2. Let g(n) = 5*f(n) + 6*i(n). Let w(a) = 3*a. Calculate g(w(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2088)\/(-52) + 4\/(-26). Solve 3*d + 4*g = 5, 5*d + l = -0*d + 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 - 88*f**4 + 360*f**3 + 1568*f**2 + 1724*f + 600.\nAnswer: -4*(f - 6)*(f + 1)**3*(f + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 18*g - 20*g - 15*g + 57*g + g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -50. Let j = 26 + -20. Let c = s - j. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.01, 5, -5.7, 0, -25\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*c - 33. Suppose 0 = -5*o + n + 7 + c, -5*o + 4*n = -3. Suppose -a - 5*r - 11 = 0, 4*a - o*r + r = 0. Which is smaller: a or 1\/43?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.346402ms to weeks.\nAnswer: 0.000000370943125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-99) + 4 + -5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (32 - 27) + (-37 - -7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -92*w**2 - 428*w + 428. Give k(1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 4:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 37668.\nAnswer: -5\/37668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81862540.\nAnswer: 2, 5, 43, 95189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 0 - 30 = 0. Let n(v) = v**3 + 3*v**2 + 2. Let l be n(w). Put 4, -42, l, -5 in decreasing order.\nAnswer: 4, l, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Let c(w) = -2*w**5 + 4*w**2 - w**2 - w**5. Let f = -13 - -17. Let d(m) = f*z(m) + c(m). Find the third derivative of d(n) wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6000 and 20.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28870c1 + -4?\nAnswer: 28870bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6325 divided by -22.\nAnswer: -575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:35 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n**(-6)\/n)\/n)))\/(n\/n**(-6)*n))**(-4\/3) assuming n is positive.\nAnswer: n**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**4\/12 + 5*y**3\/3 - y**2\/2 - 12*y. Let u be x(9). Solve 2*t - u = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 + (17 - 15 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t + 7. Let o be s(5). Suppose 5*n = o*n - 10. Let b(y) = -y**2 + y + 0 + 1 - n + 5. Let r(x) = -x**2 + 4. Calculate 2*b(l) - r(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-3\/17)*h)**(-4\/7))**(-2\/49))**(-20\/9) assuming h is positive.\nAnswer: h**(-4960\/52479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2. Let b(f) be the first derivative of -f**3 - 15*f + 5190. Calculate b(z(q)).\nAnswer: -192*q**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 85. What is the remainder when 70 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110313211 - -4?\nAnswer: -110313202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:01 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3892961857 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1875 + (-343 - -342)*(1 + -1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -7. Let b = 6300 - 6251.916. Let s = j - b. Round s to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14107, -12118, -6719, 3794, 21125, 46978, 83057, 131066?\n\"Answer: 284*q**3 + q**2 - 2*q - 14390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*x**6 + 36*x**4 - 5*x**6 - 35*x**4 - 33*x**2 wrt x.\nAnswer: -2880*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-16)*5\/30\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 56178.\nAnswer: 224712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Determine i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -684, -1019, -1642, -2649, -4136?\nAnswer: -6199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 11}. Give prob of picking 1 f and 3 c.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -92*q - q + 1566 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/(-105) - (17\/(-3) + -2). Suppose y - 4*a = z + 2, -9 = -3*y + 3*a. What is the closest to y in 0.13, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9946.763 + 9958. Round w to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(1 - 7). Suppose 0 = z + z - 2. Let p = -3.9638 + -0.0362. Which is the fourth biggest value? (a) q (b) p (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*369\/(-297)*(-946)\/86?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqqw when four letters picked without replacement from wrhlqwl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5120, 10560, 16012, 21476, 26952?\n\"Answer: 6*t**2 + 5422*t - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -4a83?\nAnswer: 4a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:50 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*35\/(-14)*4\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 4549.\nAnswer: -94\/4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 14*x - 20*x + 8064 = 0. Let t be ((-69)\/9 - -1)*-9. Calculate the greatest common factor of x and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 192.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.318334 and 2.\nAnswer: -0.636668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 74 = -11*o + 17 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**2 + f + 6. Let l(d) be the third derivative of -d**5\/5 - d**4\/12 - d**3 - 8*d**2. Let c(x) = -4*k(x) - 5*l(x). What is the tens digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3352)\/10 + 312\/(-390). Suppose 7*o - 2*o = 3045. Let w = a + o. List the prime factors of w.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808 divided by -39?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/13 + 1\/39. Which is the second smallest value? (a) d (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61276021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 113298*q**2 - 113298*q**2.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -13 + 7 + 7*i + 6. Let j be (-2)\/(-5) - (-99)\/15. Let k(y) = 24*y**2 - j*y**2 - 14*y**2. Determine h(k(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 + 343. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52620 is divided by 4046.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16*t)\/((t*t\/t**(2\/19))\/t) assuming t is positive.\nAnswer: t**(306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-42)\/(-420)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77888446 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63356.\nAnswer: 2, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 323 + 45 = -36*x. Solve -9 - 23 = x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from zzlqzbzhezzbeebzzzz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.85 and 0.1?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8680 and 28777176?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 165.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4 + 0*p**2 + 11*p - 4*p + 5. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -11 - 0 - (-2 + 5 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*c*t**2 + 25887*c*t + 36881*t**2 - 2*t - 17 wrt c.\nAnswer: 75*t**2 + 25887*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92368082783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i**2 - 2*a**2*i + a**2 - a*i**2 + 111*a*i - 2158*i**2 - i wrt i.\nAnswer: 2*a**2 - 2*a - 4316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.9, -4\/9, 3, 6778, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + 9*b**2 + 16*b + 2. Determine z(-6).\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - a. Let h(c) = 123*c**2 + 2*c - 1. What is 2*b(l) + h(l)?\nAnswer: 125*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwpypzwwwwwo. What is prob of sequence wwp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 992\/229 - -1\/687. Let a(q) be the first derivative of 0*q**4 - t*q**3 + 2\/5*q**5 + 0*q**2 + 0*q + 2. What is the third derivative of a(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j**2 + j - 15. Let x be g(6). Calculate the greatest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -29*u**2 + 31*u + 1. Give d(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 30. Let x(o) = -398*o + 3. Let a be x(1). What is the common denominator of -149\/6 and a\/(-90) - 4\/c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 0*y**2 - 2*y - 30*y.\nAnswer: -y**2 - 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 314, 1, 2, -42, -1 in increasing order.\nAnswer: -42, -3, -1, 0, 1, 2, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - 6*s**2)*(s**2 - 2 + 2 + (-3 + 3 + s)*(0*s - 2*s + s) + 2*s**2 - 5 + 5 + s**2 + 4*s**2 - 3*s**2 + 0*s + 0*s - 2*s**2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -132233 (base 4) in base 5?\nAnswer: -30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 + 1*(-3 + 4). Suppose -l*r - r + 153 = 0. What is the greatest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178098 less than 0.5?\nAnswer: -1178097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let a = s - -2. Solve -a = r, 3*r = -5*o + 2*r - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318 + -332. Let c = 14.7 - 0.7. Let m = c + n. Is m at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g + 8 = 0. Is -15\/7 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642587487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 1\/6, 1.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1339 + -1324. Solve -2*w - 17 = -o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsrlprnb. Give prob of picking 1 n and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7332028*s**2*z**4 - 1539*s**2*z**2 + 2*s*z**2 + z**4 - 5751*z wrt z.\nAnswer: 175968672*s**2*z + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 361.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183.1 + -13.5. Let f = -158.89 + l. Let t = 2.01 - f. Round t to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3003 + -21221033?\nAnswer: -21230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1693 + -1693. Which is the closest to 9? (a) 0.3 (b) 3\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**3\/6 + 20*t. Let v(n) = -5*n. Let l(a) = a. Let g(w) = 11*l(w) + 2*v(w). Calculate g(y(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/180 and -31\/529380.\nAnswer: 529380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -906218.1783974 - 1.7216026. Let l = 906233.8999648 + w. Let o = -14 + l. What is o rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 18, 39, 60, 81, 102?\n\"Answer: 21*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*k - 118 - 17 = 0, -2*n + 2738*k + 45 = 2739*k - 4 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 - -1.2. Let o = 0.9 - r. Let n = o + -4. Which is the second biggest value? (a) 4\/3 (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = -5*p, 4*j + 4*p + 0*p = 16. Let a(y) = 70*y + j - y + 0*y - 3. Let i be a(2). What is i rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715239*s**2 + 715239*s**2 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4922384?\nAnswer: 2, 17, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 315, 319, 325, 333?\n\"Answer: s**2 + s + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/225 + 6\/(-54)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3.4 (b) 2\/3 (c) 3\/2 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23881 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = 2*a. Let s(p) = -3*p**3 - p**2. What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 25816*s**2 + 25820*s = 0 for s.\nAnswer: -1, 0, 6455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(96)*-1)\/sqrt(4))\/(sqrt(40)\/(sqrt(5) - sqrt(220)\/sqrt(11))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 6*x + 6. Let h be z(6). Let y = h - 4. Let u(l) = 1 - 5 - 1 + l**3 - l + l**y. Determine u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5 - 4 - 33*f**2 to h*f**2 + b*f + r and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = 0, -4 - 5 = -5*f + k. Let g = 570 - 430. Let h = g + -144. Which is the closest to -1? (a) h (b) -1\/10 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -6, 1, -3 in decreasing order.\nAnswer: 1, 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 33. Suppose 151 = d*b - 566. List the prime factors of b.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3728*d + 2941*d - 6587*d - 2580*d - 530*d as p + l*d and give l.\nAnswer: -10484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w. Let a(v) = -50*v + 161*v - 56*v - 38*v. Determine a(g(p)).\nAnswer: 102*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14237 - -14237.2. Let b = 1.1 + -1.2. What is the closest to -2 in t, b, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*o + 2*o - 3*o)*(-2 + 0 + 4) - 1 + 2 + 70*o - 64*o)*(12 + 120 - 409) to the form d*o + z and give d.\nAnswer: -2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229946*t**4 - 2227365*t**2 wrt t.\nAnswer: 5518704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -107*x**3 - 12*x**2 + 27*x - 60. Give j(2).\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:16 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40652787?\nAnswer: 3, 7, 1935847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a**7)*a))\/(a\/(a**13*a*a))*(a\/(a\/(a**(1\/8)*a)*a))**11 assuming a is positive.\nAnswer: a**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/294 + 67\/(-7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -62*c + 58*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - k)*((k + 1 - 1)*(-4*k**2 + 2*k**2 + 3*k**2) + 3*k**3 + k**3 - 3*k**3 + 2*k**2 - k**3 - 2*k**2).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110100 - 10011001011?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.004 + -427.\nAnswer: -426.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 197. Let i = 144 - v. Suppose -z - 2*z = 0. Solve g - 4*g - 6 = i, 2*x - g = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(6825\/3150) - 1204\/52\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -14. Let v = 3.9998 + -0.0298. Let r = v + 0.03. Which is the closest to 2\/5? (a) 0.2 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1970781 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 24 = 0, -r + 28 + 3 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1\/2, -86\/197, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 1\/2, -86\/197, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14051*i = 12948*i + 40811 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-15))\/(16\/(-40)). Let b(v) = 25*v + 3 - 25*v - 2*v**c. Calculate the least common multiple of b(0) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*p**2 - 19*p**2 - 29*p + 3*p**3 + 27*p to g*p**3 + y*p**2 + h + m*p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 239222371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 18. Let z = u - -8. Let n = z + 3. Are -1\/2 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1263\/55 + 108\/5. Find the common denominator of 22\/35 and q.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -140664?\nAnswer: 140665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1340931\/1002116 - -2\/14737. Let w = t + -10\/17. Is -5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 29 + 1. Let n be 4\/8 - y\/2. Find the second derivative of 0*o**3 - 3*o + 3*o**n + 0*o**3 wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 5*s - 7. Let n be 1334*(-5 + 77\/14). Suppose m - n = -640. Calculate the remainder when z(6) is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 417?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-13) + 13\/52*-2. Does i = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2288781, -4577486, -6866191?\nAnswer: -9154896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -39*h + 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3749 + -7644. Let b = r + 3895.000005397. Round b to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*q = -6, -2*q - 6 = 3*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 2*a + 0*a + (-1 - 1 + 6)*(-3*a + 0*a + a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 10*n**2 - 8*n - 40. Calculate c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.5243 hours in milliseconds?\nAnswer: 1139487480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Suppose -5*t + 25 = 0, 5*t = -5*s + 3*t + 20. Let k(a) = -a**2 - 5*a + 2. Let u be k(-5). Let x(l) = -2*l**2 + s*l**u - 2*l**2. Give x(h(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -24*z**2. Let y(j) be the third derivative of -j**5\/60 - 7*j**2. What is q(y(f))?\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*h - 4*c - 24, 4*h + 4*c = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7)\/i*i)**29 assuming i is positive.\nAnswer: i**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/51*1134\/756?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190176846?\nAnswer: 2, 595088423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147957239 and 7973?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) + 30\/20. Suppose 0 + 3 = t. Calculate the remainder when h*5\/(15\/12) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -260. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4*(-80)\/(-56) - -200. Let r(o) = -o - l - 201 + 404. Determine r(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26524, -26437, -26360, -26299, -26260, -26249, -26272?\n\"Answer: -g**3 + g**2 + 91*g - 26615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 587775*i - 356682250.\nAnswer: -5*(i + 610)*(i + 116945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 3405145*p**3 + 1573144*p wrt p.\nAnswer: -12*p**2 + 20430870*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6183 - -6195. Solve -d - 5*i + 10 = 0, 7*i + 10 = -4*d + m*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100, -1096, -1130, -1220, -1384, -1640, -2006?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-2 + 64 - (103 - 85)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:19 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9f28c (base 16) to base 10\nAnswer: -651916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:00 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 16. Let s = h + -12. Let f(y) = -9*y + 4. Let a(p) = 27*p - 11. Let j(k) = s*f(k) - 3*a(k). Give j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*o + 4*o. Calculate the least common multiple of o and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17929, 3, 1, -36, 1.8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -5 (c) 5 (d) 1347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 3:55 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*5 - -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -48, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - -8) + -44 + 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -51229 + 82650. Calculate the remainder when s is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 5\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.3 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -0.3 (c) -1 (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + 93. What is the second derivative of i*g**2 - 12*g + 8*g - g**4 - 166*g**2 + 14 wrt g?\nAnswer: -12*g**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.9 + 5. Let q = -1.5 + w. Round q to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 537, -2, -6, -9, -10, -3 in descending order.\nAnswer: 537, -2, -3, -6, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2554776 and 109\/92064?\nAnswer: 10219104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/86695570 and -103\/390.\nAnswer: 260086710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 908 + 908 - c**2. Suppose -2*b + 0*b - 6 = 0. Let a(r) = -36*r**2. Calculate b*a(k) - 28*i(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 - 3*z**3 + 9 - 3*z**3 to o + x*z + d*z**2 + v*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let w = d - 0. Let n be 24\/(-30) + (-18)\/(-10). Which is the third smallest value? (a) w (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*v**4 - 4 + 0*v**4 + 324*v - 329*v as q + i*v + j*v**3 + y*v**4 + w*v**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 4. Let i(a) = -2*a**3 + 20*a**2 - 16*a - 14. Let q be i(9). Suppose q*o + 18 = 5*o. What is the remainder when r(9) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 7*o**4\/24 + 5*o**3\/6 - 6*o**2. Let p(c) = -13*c - 9. Let m(v) = 5*f(v) + 3*p(v). What is the first derivative of m(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*w - 230 + 1054, 4*w + 1096 = 4*p. Suppose -2*b + 686 = 2*s, -b + p = 3*s - 753. Is 1*s*(14 + -13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 102. Suppose -c*o + 34 + 64 = 0. Calculate the remainder when 39 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/11 and -121\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k**3 + k**2 - 37*k**3 + 27*k**3.\nAnswer: -47*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 48*y - 32. Let p be n(9). Which is the nearest to -0.1? (a) 2\/3 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 10265500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440429644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 - 891*b**2 - 1930*b + 380641. Determine a(223).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 1609*x**2 - 1917*x + 494274. What is m(1610)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508 and 145?\nAnswer: 73660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360120 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -29\/2. Let l = 25 - 23. Put 1\/4, l, i in increasing order.\nAnswer: i, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 2*a + 2. Let y(m) = m**2 - 10*m + 3. Let b be y(10). Let i be k(b). Differentiate -3*r**2 + r**4 - 1 + 3*r**2 - i*r**4 with respect to r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 33\/6. Suppose h - 7 = -p. Solve -y = p + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 - 30097*r**3 - 227714*r**2 + 4.\nAnswer: -60*r**2 - 180582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177667.\nAnswer: 7, 17, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*h + 12, -2*h - 4*n + 0*n = -8. Let o(b) = -h + 5*b - 3*b + 25 - b. List the prime factors of o(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*b**5 + 13*b**2 + 17 - 17 wrt b?\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u - 46. Give b(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 42*o**2 + 246*o - 14. Give w(-35).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 100*p - 88*p. Let n = 3 - -1. Is p less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 + 132 - (-6 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + q + 1. Let u be d(-1). Suppose 15 + 0 = u*n. Solve l = 1, -3*a + 4*a + n*l = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 5165123748734?\nAnswer: 5165123748730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - u - 76, -1 + 22 = b + 2*u + 43 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -289, -593, -899, -1207, -1517, -1829?\n\"Answer: -g**2 - 301*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.769 or -1\/651?\nAnswer: -22.769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 67*n**4\/24 - 161*n**2 - 2. Let r(f) = -f**2. What is c(r(m))?\nAnswer: -67*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 1, 2\/13, 2\/45, 1\/7, 1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -50*o**5\/13 + 5890*o**4\/13 + 19172*o**3\/13 + 22652*o**2\/13 + 11598*o\/13 + 2178\/13 = 0.\nAnswer: -1, -3\/5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 0, 139.\nAnswer: 0, 114, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 18. Let b(z) = 6*z**2 - 11*z - 77. What is the units digit of b(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*c - 23, -5*d - 17 = c - 3*c. Let v be c + (-3 - -6) + -5. Suppose -w + 2*y = -15 - 12, -v*w - 5*y = -56. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17137.\nAnswer: 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85911347.\nAnswer: 47, 1827901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f + 217*f + 41 + 37 - 77 to the form c*f + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -150960 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727763408?\nAnswer: 2, 613, 74201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 93. Which is smaller: -3\/44 or k?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24488*y - 1502 = 24417*y + 1196. Let l = 30 + -16. Solve -l = -6*r - y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -6. Let c(o) = 3*o**3 - 2*o + 1. Let n be c(f). Suppose -n*g - 34799992 = 3*s, -2*s + 4*g - 20764741 = 2435275. Round s to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 0 (c) 779 (d) -6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/90 - z**4\/36 + 2*z**3\/9 + 15*z**2. Factor m(j).\nAnswer: -2*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*r + 2*m, 172 = -3*r + 4*m + 190. Let k(i) = -i + 9. Let h be k(6). Solve r*t = h*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176 - 446 - 2*i - 10*i**5 - 52*i**3 + 208 wrt i.\nAnswer: -200*i**3 - 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7040 = 117*r + 59*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(-3*sqrt(720) - sqrt(720)) + (sqrt(720) + sqrt(720) + sqrt(720) + 2)*1 + sqrt(720) + -5 + 0)**2.\nAnswer: -46089 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 59, 35, -9, -79, -181?\n\"Answer: -o**3 - o**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Suppose -3*y - 2*k = -15, -6 = -4*y + 2*k - n. Is y at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (1 + -5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/(-9) - -7) + (-16)\/(-6). Put 1, 4, i, -1 in increasing order.\nAnswer: -1, 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -382, -370, -358?\n\"Answer: 12*v - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -40, -138, -326, -634, -1092, -1730?\n\"Answer: -5*m**3 - 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*w**2 + 81*w - 821*w**3 + 671*w**3 - 4640*w**3 - 1653*w**3 - 1253*w**3 wrt w.\nAnswer: -46176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + 2*sqrt(896))\/((-1*sqrt(77))\/sqrt(11)) + -1.\nAnswer: -24*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 2923*x**2 + 1445*x**2 + 1441*x**2.\nAnswer: -37*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73165728 divided by -3048572.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.421 + -68. Let o = -0.164 + m. Round o to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5023301 = -6*i - 2674699. Round i to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -19. Let r = -6 - -4. Let f = 2.2 + r. What is the closest to -1 in u, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47549709 and 1107?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqcbiy. What is prob of sequence zy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31828731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3215, -6492, -9769, -13046, -16323?\nAnswer: -19600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26951, -26979, -27019, -27077, -27159?\nAnswer: -27271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 9. Let n be j(-9). Suppose 2*w + w - 192 = n. Suppose -5*t = -2*d - w - 31, 0 = 3*t - d - 57. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1289629135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*c - 483*c + 26346 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 350761632 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 33797226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33837 from 0.\nAnswer: 33837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1 + sqrt(2736))*2 + (-6*1*sqrt(2736) + sqrt(2736) - sqrt(2736))) + 3)**2.\nAnswer: 4224*sqrt(19) + 700537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1421147 and 42826?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21015, -20884, -20525, -19824, -18667, -16940, -14529?\n\"Answer: 19*n**3 - 2*n - 21032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3982692l?\nAnswer: 398.2692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose a*v = v + 8. Suppose 36 = 4*g + 2*c, -g + 31 = v*c - 7*c. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = 6*w - 648. Suppose -14*r = w + 4. Let t be (-1)\/3*(-1 - 1). What is the closest to r in -4, 1\/7, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejdjjefeefj. What is prob of sequence fjjd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awhanwnnnnwaawwwanan. What is prob of sequence hwn?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2073*z**2 - 9565. Let m(g) = 6221*g**2 + 28703. Let d(o) = -7*a(o) - 2*m(o). Find the first derivative of d(j) wrt j.\nAnswer: 4138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53054? (a) -3\/2 (b) -10 (c) -1 (d) -4\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*j*v*w**2 - 2*a*v*w + 20027*a*v - 693*j**2*w**2 - 9*j**2*w + j*v*w + 24*v*w**2 wrt w.\nAnswer: 2*a*j*v - 1386*j**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2 + 7*a + 8. Let m be j(-4). Let y = m - -1043\/9. Sort 5, -2, 0.5, y in ascending order.\nAnswer: -2, y, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3142b - 1d?\nAnswer: 3140c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3873*k. Let h(d) = 37*d**2 + 34*d**2 + 36*d**2 + 37*d**2 - 142*d**2. What is h(q(u))?\nAnswer: 30000258*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-45*x + 66*x + 67*x).\nAnswer: -88*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.72 + 0.28. Sort 0, 2\/9, f.\nAnswer: 0, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -6589, -220 in descending order.\nAnswer: 2, -5, -220, -6589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/(-90)*10\/50*16\/(-26).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = 4*w, 3*w = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1289*-0.175\nAnswer: 0.0225575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 13*c + 30. Let o be x(2). What is the highest common factor of 427 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 4, -8, -32, 144 in decreasing order.\nAnswer: 144, 5, 4, -1, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 833.277183 - 508.276994. Let y = 1524 + -1199. Let s = f - y. What is s rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:13 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31110 and 11346.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5683, 6217, 6779, 7369, 7987?\nAnswer: 8633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*s + 203*s - 6*s to f*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 33*d - 67. Let f = -40 - -48. List the prime factors of b(f).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -17*m**2\/2 - 66*m + 140. What is the hundreds digit of o(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2192*p**4\/5 + 8284*p**3\/5 - 4624*p**2\/5 - 1516*p\/5 + 48\/5 = 0.\nAnswer: -1\/4, 4\/137, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/16)*i*i\/(i\/(i\/(((i\/(i**(-1\/34)*i))\/i)\/i)))*i assuming i is positive.\nAnswer: i**(1335\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 5. Suppose 5 + 27 = -4*o. Let z be j(o). Is (-10 - z)\/((-1)\/(-863)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 8*b**2 + 13*b + 33. Suppose 5*r = 10*r + 45. Let c be z(r). Sort -2, 0, 24, c in increasing order.\nAnswer: c, -2, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -5*u. Suppose -5 = -2*q + 5. Let k = 8 - q. Solve k*j - 1 = -h - 4, -u*j + 4*h + 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 - -22922\nAnswer: 23090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 703 = 4*c, 5*k = -2*c - 460 + 1623. Let a(h) = -233 - 7*h**2 + k. Let r(g) = g. What is a(r(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3593 = 5*x + 3626, -4*d + 24 = -4*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -8, 18 in decreasing order.\nAnswer: 18, -8, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14381\/788 + (-6)\/24 + 188\/(-16).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8)\/(1\/4). Let u(t) = 1968 - 1968 - t**3. Determine u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.3. Let j be (-2 - 1)*(55 + (-2400)\/45). Let v = 0.1 + 0.3. What is the nearest to 0 in r, j, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**5\/30 - 4*w**4\/3 + 5*w**3\/3 + 336*w**2 + 1323*w\/2 - 12517. What is c in r(c) = 0?\nAnswer: -9, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 347769, 347768, 347769, 347772?\n\"Answer: b**2 - 4*b + 347772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1244*r + 123298 = -7322 for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131744 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 3*y + 3*q, -3*y + 11363*q + 24 = 11364*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2939 or 1?\nAnswer: -3\/2939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*l = 4, 18*z + 5*l = 16*z + 28. Let i(v) be the second derivative of 1\/19*v**4 - 1\/190*v**5 + 0*v**2 - 3\/19*v**3 + 0 + z*v. Factor i(f).\nAnswer: -2*f*(f - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 4, -397\/4.\nAnswer: -397\/4, 1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 6*h**2 + h + 8. Let r = -2 - -5. Suppose -r*w = -w + 12. Let z be p(w). Solve m - 6*m = 2*i - 8, 0 = -3*m - z*i + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3010944, -12043661, -27098188, -48174525, -75272672, -108392629, -147534396?\nAnswer: -192697973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -84340832.55 to the nearest 10000.\nAnswer: -84340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -443050554 (base 6) in base 8?\nAnswer: -36353346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24620861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*y + 15, 5*y - w + 2 + 1 = 0. Which is bigger: y or 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145530 and 412170.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 + (-85)\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 + (2 - 3) + -3 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.027 + 2.027. Sort 7, g, -3\/4 in descending order.\nAnswer: 7, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*k**3 - 187*k**3 - 614 + 590 to h*k + v*k**3 + f + b*k**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/35*(-3000)\/(-5). Suppose -i - 2*i = -a. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -54, 3\/5, -3 in descending order.\nAnswer: 2, 3\/5, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = 34*z - 901 - 968 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s + 0*s + 56*s + 5*s + 2*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -2)\/2 + -1056. Let x = 1874 + b. Let d = -495 + x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + -2*(sqrt(500)*1)**2.\nAnswer: -1000 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - (-1383)\/(-36). Let o = -39 - h. Let l = -5\/6 - o. What is the third biggest value in -1, -0.3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*j = -1675, 3*j = -3 - 12. Calculate the common denominator of 149\/12 and k\/(-80) - 6\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2 + j**2 + j**2 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130.4414 millilitres to litres.\nAnswer: 0.1304414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(1*sqrt(11)) - (sqrt(539) + 2).\nAnswer: -6*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 3*w**2 - 2*w - 4. Let a be f(-2). Suppose a*t - 13 = -4*k + 55, -5*t = -k - 7. Calculate the remainder when 36 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 41. Calculate the greatest common factor of 72 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 6, -s + 3*q = -5. Let h(p) = 3*p**2 - 12*p + 3. Let i be h(s). What is the units digit of i\/24 - (-3)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/5 or -55?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(54)\/sqrt(2) - sqrt(3) - sqrt(3)) - (sqrt(3) + (sqrt(120)\/sqrt(10))**2).\nAnswer: -12 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6963 + 25046481289\nAnswer: 25046481289.6963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:53 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -55*l**2. Let t(k) = 5*k**2. What is t(s(i))?\nAnswer: 15125*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 - 113. Calculate the remainder when 63 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 164255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 (base 13) in base 2?\nAnswer: -11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -x - 4*t - 6, -4*x + t - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, 13363, 55335, 139659, 280453, 491835?\nAnswer: 787923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24415 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = -0*q - 3*r, q + 5*r = 25. Suppose q*j = 136 - 6. Suppose 2*i = -0*i + j. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -971 divided by 5\nAnswer: -971\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17 = -2, 2*s + 2*i + 624 = 0. Let c = s - -340. What is the highest common divisor of 93 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-2))\/(-9 + 7). Suppose -g - 16 = 5*q, 0 = -0*g + 2*g + j*q + 26. Let w(m) = m**3 + 12*m**2 + 9*m - 7. List the prime factors of w(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20323*m**3*n + 15473*m**3 + 108*m**2*n - 2*m**2 - m*n + 2*m - 2*n + 2 wrt n.\nAnswer: 20323*m**3 + 108*m**2 - m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 12 = 0, 3*y - 549*m = -553*m - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 137*t + 30. Let o be d(0). Solve 3*h = -2*v - 43 + 65, 5*h + 2*v - o = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 97 + 38 = 0. Solve -15 = -c - w + 6*w, -i = 4*c + 5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjlndcd. Give prob of picking 1 v, 1 d, 1 n, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/2 + 9. Let k be 6\/(-15)*15\/(-4). What is the third smallest value in 0.4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 105*l + 12. Let x(u) = 53*u + 7. Calculate -7*x(c) + 4*z(c).\nAnswer: 49*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a factor of 22374216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467572 is divided by 93511?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/9)*x**(-1\/4) assuming x is positive.\nAnswer: x**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 4*h**2 - h + 3. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -104\/11, -2, 188?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 32 - 1)*(-4*k + 7 - 7) + (6 - 3 - 1)*(2 + 0 - 1)*(-k + 0*k + 3*k).\nAnswer: 236*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3569870546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 10*c**2 + 25*c + 2. Let d be b(11). Let t = d + 318. What is the remainder when t is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 1639*a**6\/15 + 1919*a**4\/6 - 2*a + 5396. Find the third derivative of n(i) wrt i.\nAnswer: 78672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9209487141 minus -106?\nAnswer: 105.0790512859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.026 and 319668.\nAnswer: -8311.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 14*g**3 - 3*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116918327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/9, 23, 5, -1.7, 10\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(5\/((-5)\/(-2))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.044 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 - 1 = 0. Suppose -2 = -y - 0. Suppose k + 18 = y*s. Solve -h + 5*o - s = 5, -4*o + 35 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68569 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1605, 5096, -21 in decreasing order.\nAnswer: 5096, 1605, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 73?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 10*z**2 - 14. Let d be s(7). Let f = d + -21023\/18. Calculate the common denominator of f and 17\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -874671, -3498643, -7871927, -13994523, -21866431, -31487651?\n\"Answer: -874656*c**2 - 4*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5)*-1*5 - ((sqrt(1125) + sqrt(45))\/sqrt(9) + sqrt(5) - sqrt(5))) - (4*2*sqrt(10)\/sqrt(2)*-5 + 5))**2.\nAnswer: -950*sqrt(5) + 45150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383868632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2822)\/(-16) - ((-33)\/(-24) - 1). Let g = z - 153. What is the remainder when 66 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.906 + -21. Let l = -0.202 + 0.2. Let v = c - l. What is v rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from papzpjpjpapj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 32*d**2 - 60*d + 32. Let n be f(-30). Calculate the common denominator of (195\/(-80))\/((-152)\/n) and -59\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188) - (sqrt(1188) - sqrt(1188)*2))\/sqrt(3).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2440*x - 73 + 151 - 78 as s + n*x and give n.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-14) + (-8)\/(-28). Suppose -7*b = -3*b, -d*r + b = -15. Suppose r*p = p. Solve 3*j - 3*a - 3 = p, -2*j + 15 = 3*j + 5*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100101001010110001 - 1?\nAnswer: -111100101001010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - 5*f = 24, 4*l - 48 = 2*f. Suppose -6 = -14*m + l*m. Solve z - 6 = -m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6453 is divided by 650?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-22))\/(10\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 67*a**2 + a. Let v(n) = -14*n**2 + 28*n**2 - 12*n**2. What is g(v(f))?\nAnswer: 268*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-2*p + 4*p - p)*(p - p + 3*p**3)*(-426 + 426 - 52*p).\nAnswer: 156*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(90) + sqrt(90)*2) - (sqrt(7) + -1 + sqrt(175) - (-5 + sqrt(21)\/sqrt(3))))**2*2*-1 + -2)*1.\nAnswer: -29858\/81 - 704*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130476525.\nAnswer: 3, 5, 1739687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 1. Let r(j) = -j**3 + 6*j**2 - 4*j. Let a be r(4). Let v = a - 13. Suppose 25 = 5*z, 3*w - 3*z + 21 - v = 0. Determine y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298362 divided by 3.\nAnswer: -99454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 6 = -d. What are the prime factors of (-357)\/(-27) - d\/(-27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 12 - 2*f**3 - 1.\nAnswer: -3*f**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/12*(49 - 3). Suppose -163 = -h*c - 2. What is the least common multiple of c and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 1973*d**2 + 6791234*d + 20391432.\nAnswer: -(d - 1802)*(d + 3)*(d + 3772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 486737 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -68. Let i be (v\/(-9))\/(4\/(-6)). Let u be 2\/5 + (-36)\/(-10). Which is the closest to -2\/3? (a) -2\/5 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-782)\/(-21114))\/((4\/(-2))\/24)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -37 + 1 + (-18 + 30 - 25)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 22*a = -7*p - 313, 2*p - 3*a - 85457 + 85417 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/8)\/(208\/((-53248)\/(-960)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let k = 1 + -1. Is 4 a factor of (k - (-18)\/3) + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/8532 and 83\/746.\nAnswer: 3182436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 4297488881884 and -0.1.\nAnswer: 4297488881883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = -105*o + 382 + 500 + 563 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 8*b - 481. What is the lowest common multiple of b and 3?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 4*p**2 + p**2)*(-2*p**2 - p**2 + p**2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135919?\nAnswer: 7, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 4, x: 3, b: 10}. Give prob of picking 1 s, 1 x, and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-25) - -9*2387\/525. Solve -o*h + 32*h - 9 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -114. Suppose h - 126 = -5*b + q, -5*b + 2*h + 190 = 0. Suppose 0*o + b = 5*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12791 is divided by 12776.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382 is divided by 330?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1444240, 2889332, 4334426, 5779522?\nAnswer: 7224620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -31, -54, -81, -112, -147?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 31 = 54. Suppose -3*s - i = -26, 2*s - i + v = 4*s. Solve -3*n = -s, -3*m + 3*n + 1 = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/960 + 567\/48)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2232 * -97\nAnswer: 216504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 210 = 37*t + 22*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 141*x + 34 - 35*x to i + n*x and give n.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 8. Let c be n(-5). Let w(p) = -p - 6. Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21576)\/(-62) + 3\/((-3)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 824 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.11 - 0.11. Let o = 14 + 0. Let q = 9 - o. Which is the nearest to 1\/4? (a) q (b) h (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/121 (b) -4 (c) -30\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 1 + -3 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*u - 23*k + 24*k, 0 = -u + 2*k - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 9934 = -5*j - 4*i, -2*j + i = -4008. Suppose 0 = 7*t + 234 - j. Suppose -2*w + t = 37. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*g - 4*g + g)*(-1 + 0 - 1) + (-1 + 2*g + 1)*(9 - 5 + 3))*(-863*g**2 + 693*g**2 - 861*g**2) to y + b*g**3 + j*g**2 + d*g and give b.\nAnswer: -12372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 443?\nAnswer: -3\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15 + 0*d + 2*d + d - 15*d. Let i(u) = -u - 1. Let p(o) = -b(o) + 15*i(o). Let x(h) = 4*h - 2*h - h. Determine p(x(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*a + 9517 + 1023. Calculate the remainder when a is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.232 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 3. Let k(z) = -z**2 + 12*z - 2. What is the units digit of k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6732531 tonnes to grams.\nAnswer: 673253.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -12*m - 22. What are the prime factors of s(-21)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**5\/210 - k**4\/28 + 2*k**3\/21 - 5*k**2\/2 - 1. Let v(o) be the second derivative of b(o). Factor v(w).\nAnswer: 2*(w - 2)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + (-4 - -18) + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101111 + -11011000111001110?\nAnswer: -11011011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 270 = -5*h - 275, 3*f + 4*h + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.126 (b) 5 (c) -2 (d) -5 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 6 + 4 + 7*a. Let t(h) be the third derivative of h**4\/24 - h**3\/6 - 3*h**2 + 3*h. Determine -6*t(s) + 3*v(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2933046444 to the nearest integer?\nAnswer: 54158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + 24\/(-9). Let h be z\/(2 + (-9)\/4). Let n be h - (-16)\/(4 + -8). Solve 5*a - n + 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9*39830\/15 + -33 + 32 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48998914 rounded to the nearest ten thousand?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738900 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-6)\/504*-4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 1 g when three letters picked without replacement from {k: 1, g: 1, o: 1, m: 2, p: 1, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.91 - -13. Let z = 0.21 + s. Let w = 0.7 + -0.2. Sort w, z, -0.2 in descending order.\nAnswer: w, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 + 68960*q**2 - 6036935*q + 5967970 = 0 for q.\nAnswer: -13879, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c**4 - 5172*c**3 + 101040*c**2 + 212688*c - 21168 = 0 for c.\nAnswer: -2, 2\/21, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*m**3*z + 47716*m**3 - 2*m**2*z + 142*m**2 + m - 1208*z wrt m?\nAnswer: 420*z + 286296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 40, 11, -58, -179, -364, -625?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -459*x + 454*x - 35 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-312)\/(-260))\/(1\/((-190)\/(-3))). What is the greatest common divisor of i and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**2)*w)\/w**9*(w\/(w*(w*w*w**(2\/9)*w)\/w))**(-1\/27) assuming w is positive.\nAnswer: w**(-1438\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88259, 176521, 264783, 353045, 441307?\nAnswer: 529569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -893.5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -8 + 4 + 7 + 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242145111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*h - 374*h + 824*h + 1746*h + 689*h.\nAnswer: 2620*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -0.4, 0.3, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 13*z + 26. Let v be y(2). Suppose v*c = -4*s + 656, -3*s - 235 = -5*c - 695. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m - 10*m**3 + 11*m + 186*m**5 + 8 - 184*m**5 + 10 - 20*m**2 - 2 + 4*m**4 = 0. What is m?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v - 2. Let r be s(-5). Let y be (-377)\/r + 2\/(-2). Let b = y + -7\/34. Find the common denominator of -28\/9 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(21\/(-12)*(-6)\/21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 21 = -5*y - 68, -4*q + y - 83 = 0. Let o be 6*7\/q*(1 - -3). Which is smaller: -63 or o?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3 + 4 - -1). What is the second derivative of 2*j**5 - k*j**5 + 2*j**5 - j - j wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from hhhhvlhhhhhghhlu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21011 (base 3) in base 16?\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/4 + 4 - -7. Suppose 7*u + 790 = 825. Solve f = o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408071373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = r - 11, 17 = v + r + 2*r. Does 33 divide (45\/(-20))\/(2\/(-176)*v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2012, 38, 5, -3 in descending order.\nAnswer: 2012, 38, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 - 3*d**3 - 9*d**2 + 17*d + 124.\nAnswer: 24*d**2 - 18*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 386\/110 + 4\/(-40) and 177\/12*(-2)\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/10))**(-13))**(-50))**18 assuming m is positive.\nAnswer: m**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1575)\/(-28))\/(-15)*6\/(-30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 18*u + 1. Let x be c(-1). Let f(y) be the second derivative of -y**4\/12 - 3*y**3 - y**2 + 3*y + 23. What are the prime factors of f(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43938101.81400079 + 43938102. Let i = -111 - -111.186. Let k = i - f. Round k to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let n be -36*(8\/(-12))\/t. Let b be (8\/n)\/(1\/12). Solve -2*h = 5*u + 14, -5*h + 4*u + b = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/4880917 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 + -309. Let j = -310 - d. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28776 or -28777?\nAnswer: -28776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -1, -53.\nAnswer: -53, -7, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*i - 182*i - 25944 = 668*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250 - -102. Let n = -743\/5 - q. Let j be 2*((-6)\/10)\/(-3). Which is the smallest value? (a) 1\/8 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3282801 or -3282804?\nAnswer: -3282804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782*n = -778*n + 28, -3*n = 4*f - 85675. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62319712 and 91?\nAnswer: 62319712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 30 = 16*r. What is the third derivative of -24*n**2 + 320*n**r - 9*n**2 - 233*n**3 wrt n?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*k - 3*k. Let d = -1234 + 1233. Sort 5\/4, d, k in decreasing order.\nAnswer: 5\/4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 2. Let n(s) = 22*s + 26. Let i(k) = 7*k + 9. Let r(f) = -7*i(f) + 2*n(f). Let g(x) = 22*p(x) - 4*r(x). Let j(v) = -5*v**2. Determine g(j(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 106513406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) - sqrt(1260)\/sqrt(7)) - (sqrt(1331) + 1*-1*sqrt(1331)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:25 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 378.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 267164964 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqnxxewxxxwpxwwxxwx. Give prob of sequence nqp.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 0.3 (c) -0.2 (d) -0.0362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439*w - 426*w = 1094*w + 4145 + 22486 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296\/(-198) - -1 - 10\/(-44)*7632\/6360.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -21*t - 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**4 - p**4 - 5*p**4)*(p + 0 + 0) + 2*p**2 - 2*p**2 - 2*p**5 + p**5 - 2*p**5 + 0*p**5 - p**5 + 5*p**5 + 9*p**5 - 166*p**4 - 27*p**5 + 166*p**4.\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 542.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 2 - 2*z - 1 - z. Suppose -8938*v + 8958*v - 100 = 0. Let n(g) = 2*g + 2. Calculate v*n(d) + 3*y(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.26 + -55.26. Suppose 7*k = 2*k + 65. Which is the fourth biggest value? (a) q (b) -2\/17 (c) -2\/9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264, 1119, 2560, 4587?\n\"Answer: 293*m**2 - 24*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 394465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 109455*f**2. Let z(k) = 1270*k. What is z(x(b))?\nAnswer: 139007850*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1997 > -1996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 + r**4\/12 - 7*r**3\/6 + r**2. Suppose m = 3 - 8. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -6\/13 (b) 2\/15 (c) -0.11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54536985 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -33*0.35\nAnswer: -11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 51760170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -286, 176, 1466, 3860, 7634, 13064, 20426?\nAnswer: 29996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose 0 = u - 6*u + 35. What is the smallest common multiple of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**3 + 812*p**2 - 297*p - 202. Determine q(135).\nAnswer: -3847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*j + 66*j - 353*j + 5*j**2 + 4*j**2 + 200*j + 4*j**2.\nAnswer: 13*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/60 (b) -1\/2 (c) -3\/2 (d) -1\/248649 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - 377. Let j = n + 420. Solve j*z - 37 + 7 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652775 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 55*m - 82. Let h be y(2). Suppose 11*l - 7*l = h. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-402)\/11 + 144*(-20)\/(-5280).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 689.6320065 - 689.812. Let c = n - -0.18. Round c to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*d**2*y**3 + 99*d**2*y**2 - 414*d**2 wrt y.\nAnswer: -63*d**2*y**2 + 198*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-3)*(-24)\/(-20). Let p = d + 10. Let j be 1*p - (0 - 3). Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16088 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -556 + 1957. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + sqrt(204)*-2)*-4)\/sqrt(12))**2 + (-1 + sqrt(1088))**2 + ((sqrt(51)\/sqrt(3))**2*3 - sqrt(17)).\nAnswer: -17*sqrt(17) + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-165)*220\/30.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 14. Let u = 38 - s. What is the tens digit of (u*(-2)\/12)\/((-2)\/(-642))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 810202 times -2\nAnswer: -1620404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 18*m - 2*z - 1 = 0, 3*m - 5*z + 11 = 0. Solve 2*w + r - 10 = m*r, 5*w = -r + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 8585 + 8585 = 0. Solve 0 = -5*y + 4*p - 7, y + 5*p = -o*p - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.16, -4, -6, 1 in decreasing order.\nAnswer: 1, 0.16, -0.5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 15*d - 73. List the prime factors of p(25).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1225*l - 12. Let x(t) = 3673*t + 40. What is -10*j(f) - 3*x(f)?\nAnswer: 1231*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53372 + 26690 + 26682 + 684*i.\nAnswer: 684*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 11*d + 3. Let h be q(-11). Differentiate -h*j**3 - j**3 - 141 + 140 with respect to j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 28 = 4*d, -2*d = 5*i + 22. Suppose 4 = v + 3*p, -2*p + 16 = v + 3*v. Let a = v + d. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**5 + 0*n - 1\/360*n**6 - 2*n**2 + 0 - 1\/24*n**4 - 1\/6*n**3. Let q(o) be the first derivative of j(o). Calculate q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1746831023*r - 1013516. Let p(w) = 36194*w - 21. Let s(x) = 144788*p(x) - 3*v(x). Let d(h) = 2*h**2. Give s(d(c)).\nAnswer: -72394*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 245*b - 1044. Determine r(-118).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 930336 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 11*g**2 - 17*g + 43. Calculate v(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**2 + 968\/5 + 88\/5*w.\nAnswer: 2*(w + 22)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -13. Let j = 10 - l. Suppose -j*a + 8 = -187. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 4 - 4)*(-131*l + l**3 - 5*l**4 + 0*l**3 + 130*l) to x*l + b + a*l**4 + g*l**2 + m*l**3 and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*d + 15, -5*w - 2*d = -5*d + 9. Suppose w*n + 44400 = 5*n. Suppose -2*x = 2*z - 3568, -5*x + 0*x + n = -3*z. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f + 122. Let r be o(38). Let a = r - -68. Solve y + a*v + 5*v = 0, -2*y = 2*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 22583*h**2 + 203241*h - 54. Determine t(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 976931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -625170, 1, 1\/3, -3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1422704 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-2)\/34*-20. Let k = n + -23\/34. Suppose 0 = 27*f - 32*f - 20. What is the nearest to 1\/4 in -3\/5, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2\/3 - 6780350*h\/3 + 216966080\/3 = 0. What is h?\nAnswer: 32, 1356038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bddd8 (base 16) in base 7?\nAnswer: 21344246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2. Let s(m) = -9*m**2 - 5. Let f(i) = -8 + 29*i - 29*i - 14*i**2. Suppose t = 3 + 2. Let x(b) = t*f(b) - 8*s(b). Calculate v(x(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:47 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:51 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x. Let u be l(-1). Let v = u - -17. Find the second derivative of -6*q**2 + v*q + 0*q + q wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*i**3*p - 59*i**3 + 733*i**2 - 11*i*p - 12*p wrt i?\nAnswer: 114*p - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 545 + -497. Calculate the least common multiple of j and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15)\/(8\/(-40))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -243, -496, -751, -1008?\n\"Answer: -h**2 - 250*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -13*l**2\/2 + 4. Let r(u) = 5*u - 9. Let f(q) = q - 2. Let p(y) = 9*f(y) - 2*r(y). Calculate x(p(g)).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-1002)\/167 + (-2)\/3*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*l + 29*l + 3124. Is 30 a factor of (-2)\/4 + (-6)\/(12\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -210865 take away 3424.52?\nAnswer: -214289.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10402*w - 57684 = 223170 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/272 + -1403\/816. Find the common denominator of s and 11\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 30*a - 4*k - 612 = 0, -3*a - 2*k + 474 = 0. What is the remainder when 485 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 + 15*i**4 - 9*i**3 - 135*i**2 - 162*i.\nAnswer: 3*i*(i - 3)*(i + 2)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 128 - 7*j + 133 + 5*j**4 + j - 3*j**3 + 9*j + j**2 to the form o*j + m*j**2 + u*j**3 + k + z*j**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 225439.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 1133 + 117 = 63*i. What is the highest common divisor of 1990 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 4, -1\/10, -39?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirriaryriiysyr. What is prob of picking 1 i, 1 y, and 1 s?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6.5. Let b = -2 + p. Let v = 0.4 + b. What is the closest to -0.1 in v, -1, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 9:02 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508886381 to the power of 1\/2, to the nearest integer?\nAnswer: 74222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518940 and 86490?\nAnswer: 518940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2. Let c(g) = -g. Let f be ((-4)\/2)\/(4\/(-4)). Let y(o) = f*x(o) - 3*c(o). Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 78887469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/4 - 17*l**3\/4 - 39*l**2\/4 + 17*l\/4 + 19\/2 = 0 for l.\nAnswer: -2, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(6)\/sqrt(2)*1 + -3.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 1240*t - 192200.\nAnswer: -2*(t - 310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 - 6*u + 2. Let r be s(5). Let g be 10 + 0 - -3 - r. Determine i so that 1 + 17*i**2 - 2*i + 0*i - 4 - g*i**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabb. What is prob of picking 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 400 - 133101?\nAnswer: -132401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 81793 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 d be 24\/(-6) - 2\/(-2). Let t be ((-30)\/18)\/(1\/d). Solve 0 = 5*q + 10 + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5879811, 5879809, 5879807, 5879805?\n\"Answer: -2*n + 5879813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -78. Let z be (-15)\/26*((-7710)\/21)\/5. Let m = z + -303\/7. Which is the closest to 0? (a) -4 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Determine p, given that z*p + 3\/2*p**3 + 6*p**4 + 7\/2*p**5 - p**2 + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**4 - 11 + 11 + (-4 + 4 + 2*i**3)*(3 - i - 3) + 20*i**4 - 101*i**4 - 83*i**4.\nAnswer: -158*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3 + 180*g**2 - 2424*g + 4144 = 0?\nAnswer: 2, 14, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {z: 1, u: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = 26*i - 242 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11 = -5*w + 1, -i = -2*w - 1. Let h be i\/(-2)*(-112)\/70. Suppose -h*m + 8 = -4, 10199997 = 2*l - m. What is l rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/196)\/(129\/1806).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 2*a - 23. Let f(l) = -l**2 + 6*l - 2. Let o be f(5). Let u be (3\/o)\/(-2*(-1)\/(-12)). Let t be k(u). Sort 3, 9, t in descending order.\nAnswer: 9, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -12. Let b(o) = o - 4. Let s be b(7). Suppose -3*y = -i - s. Solve 2*a = -7 + y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -38*j**2 - 236*j - 177. Let t be r(-52). What is t rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 27 + 98*h + h**2 - 117*h. What is the tens digit of w(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bd87 (base 15) to base 4.\nAnswer: 232320310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 14*j + 13. Let b be o(-5). Let p = b + 172. What is the derivative of -15*c**4 - p*c**3 + 115*c**3 - 33 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 8:17 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/16 - (-3)\/(-4) - (-2 - -1). What is the closest to -2 in k, -0.5, -78?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 5 - (1 - 4). Solve 3*k - 15 = -f*o - 0*k, k + 1 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*3\/12*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoooozx. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -119. Solve 5*q - r*p - 2*p - 17 = 0, -2*p - 6 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*1*(4*sqrt(180) + ((sqrt(5) - sqrt(15)\/sqrt(3)*-6) + sqrt(5) - sqrt(80)) + -1))**2.\nAnswer: -896*sqrt(5) + 62738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2200 and 942.\nAnswer: 1036200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 866581 (base 13) to base 5\nAnswer: 1301441332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 331909, 663804, 995699?\n\"Answer: 331895*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:46 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4\/7 + 122*a**3\/7 + 1606*a**2\/7 - 6506*a\/7 - 7992\/7 = 0.\nAnswer: -37, -27, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7. Let r(k) be the second derivative of -k**3\/6 + 7*k**2\/2 + k. What is the least common multiple of r(q) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p - 165. Let u be q(-21). Suppose -2106 = -d - 4*v + 195, -u*v = -5*d + 11390. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/6539 - -98083\/13078. Let f(n) be the second derivative of 0 - y*n**2 + 0*n**3 + 10*n - 13\/10*n**5 + 0*n**4. What is the derivative of f(m) wrt m?\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4)*4 + sqrt(35) + sqrt(35))\/(sqrt(42)\/(2*sqrt(6)))*5.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 + 181.99. Let v = 5.01 + k. Let h = -5.92 - -6. What is the closest to -0.1 in v, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13506700 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-1 + -3.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -9*j - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1*((-6)\/(-3))\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((31 - (-4982)\/(-159)) + 5\/((-45)\/6)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133012107*g**4 - 1005*g**2 + 140899 wrt g.\nAnswer: -3192290568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -2457, -3685, -4913, -6141, -7369?\nAnswer: -8597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 + 384. Suppose -w*i = -120*i + 18. Calculate the lowest common multiple of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2111147 and -32\/5681.\nAnswer: 27444911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, e: 1, y: 7}. What is prob of sequence eezy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -2*g - 3*u + u, 2*g - 349 = -5*u. Let i = -933\/5 + g. Which is the closest to 6\/17? (a) 0.1 (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1028 divided by 12.\nAnswer: -257\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:30 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y**2 + 8*y + 4. Let a(w) = 8*w**2 - 7*w - 4. Let b be 7 - (-4 + -1 + 9). Let q(o) = b*m(o) + 4*a(o). Suppose q(s) = 0. Calculate s.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-95) - (-356)\/280.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/56*(-8)\/10*26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25524643*c**2. Let w(h) = 10*h**2. Determine j(w(y)).\nAnswer: 2552464300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 + 301. Suppose -u - 17 = -3*h - 52, -h = 4*u - x. Let s = 24 - 9. Calculate the remainder when u is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-42))\/1*(-2)\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (34\/(-4) - -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.317*-6471.\nAnswer: -21464.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/86 + 97\/(-22) and 37\/85.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16481934 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 23*c**9\/15120 - c**5\/5 + 28*c**4\/3 + 42*c - 1. Let r(o) be the third derivative of a(o). Differentiate r(h) wrt h.\nAnswer: 92*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(78)\/(sqrt(96) + sqrt(6) + sqrt(6)) + -2 - (4*sqrt(39)\/sqrt(3) + 3)) + -5)**2.\nAnswer: 170*sqrt(13)\/3 + 7357\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-4\/7)\/a)\/a*a**(4\/7)*a*a**4*a*a*a*a**6 assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 66 + -30 - (-1 + 10 + -5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 (base 9) in base 12?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)\/p*p)**(-2\/63)*(p**(-1\/2)*p)\/p**(-4\/9))**21 assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -12, -4*n = k - 3*n. Suppose k*s - 5*f = 264, 4*s - 1 = -2*f + 291. Calculate the remainder when s is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/6, 1613 in increasing order.\nAnswer: 1\/6, 14, 1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15564 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, 1 in descending order.\nAnswer: 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/6)\/(x**(1\/7)\/x)*(x\/(x*x**(-1)*x))**(1\/21)*((x*x**(-1\/5))**(-49))**(1\/6) assuming x is positive.\nAnswer: x**(-1157\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2\/6)*-1. Let t = 17 - 5. Suppose 0 = -i + 5*i + 2*b - 10, -t = -5*i - 3*b. What is the second biggest value in i, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 32*r**2 + 114*r + 50. Give j(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22468, -29755, -37042?\nAnswer: -44329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.7 + 14. What is the biggest value in 6, 1\/6, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9304*r - 307027. Calculate j(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*sqrt(152)*2)\/(-1*sqrt(128)) + -5*(-4 + 1*sqrt(931))**2).\nAnswer: -4735 + 278*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 525\/(-4) - 33\/(-44). Suppose -2*n - 20 = -w. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = -2*d. Suppose k = 2*n - 5*n + 9, 4*n + 4*k - 12 = d. Does 14 divide n\/(-9) + (-2790)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 17 + -7 + -7 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5337272704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitiittittivitmmtii. What is prob of sequence vmii?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(10*u - 65*u + 10*u - 18*u - 60*u) to the form j*u + i and give j.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -90. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667300 is divided by 217.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by -7515?\nAnswer: 107\/7515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -3*u**4\/4 - 17*u**3 - 2*u**2 + 286. Determine b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 = 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-15)*d**(-8)*(d\/(d**(1\/2)*d))**(-41) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 1. Let q(m) = -5*m**2 - 4. Let c(s) = 3*n(s) - q(s). Let v(k) = -12*k**2 + k - 4. Let h(r) = 4*c(r) + v(r). Let x(d) = -d. Determine h(x(o)).\nAnswer: -4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 14045?\nAnswer: 2\/14045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**4 - 40325*g*h + 1495492*h wrt g.\nAnswer: 20*g**3 - 40325*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -769000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 95\/2. Let v = 8 + -11. What is the third biggest value in t, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 18.\nAnswer: 23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -0.4, -4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5683, 5757, 5999, 6493, 7323, 8573, 10327?\n\"Answer: 14*f**3 - 24*f + 5693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302 + 282. Let k be ((-24)\/(-10))\/((-4)\/t). Solve 2*x + 2*v = -k, 5*x + 1 = 4*v + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 2. Let n(x) = 1. Let b(q) = 5*f(q) + 6*n(q). Let y be b(-3). Solve -3*l = -w + 2*w + 4, -w = -2*l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.83899 centuries to months.\nAnswer: 33406.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 110111210022001?\nAnswer: -110111210022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 - 4*p**3 - 170 - 2*p + 171. Suppose -2 = -a - 0. Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63151 and -3.\nAnswer: 189453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 4*y = -36, -3*y = 5*a - 97. Solve -2*o - 2*o = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6293c0 + 5?\nAnswer: -6293ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63103925?\nAnswer: 5, 2524157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 0 in ascending order.\nAnswer: -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1. Let g be b(-3). Let p = -28 + 30. Suppose -d = -p*d + g. Solve 0 = -5*n - 9 - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a + 2. Let n be f(2). Let o be n + (3 - (1 - -1)). Suppose o = 3*v - 51. What is the highest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h + 7*h + 4 - 4 as b*h + z and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52589553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.1. Let b = 0.2 + i. Let u = b - 0.2. What is the third smallest value in 4, -3, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 93*w**2 + 41*w - 135. Is j(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-2\/7)*l)\/l)**22*(l*l**(-2\/5)\/l*l)**(1\/25) assuming l is positive.\nAnswer: l**(13771\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 22, 31, 56, 103?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6491 - 6468. Let t = -71 + 215\/3. What is the biggest value in t, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 32*z - 60 = 0. Is z\/((-12)\/4)*(-514)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2134242 (base 5) to base 13\nAnswer: -139b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from renseeeeooersoenrgre. What is prob of sequence ge?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176885 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6219451646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, -2\/13, 0.5, 332, -1.4 in increasing order.\nAnswer: -1.4, -2\/13, 1\/3, 0.5, 4, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - sqrt(1728)*-1 - sqrt(1728))*6*3)\/(sqrt(144)*2*-2 + (sqrt(144) - sqrt(144)*2*-3))*-4.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 8*t + 12. Let m(k) = 4*k - 1. Let h be m(-2). Let r be z(h). Solve -2*b = 3*b - 5*i + 40, -r*b = i + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96474963*j + 96474963*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 93*h**6\/10 + 181*h**2\/2 - 10*h + 4. What is the derivative of y(p) wrt p?\nAnswer: 1116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6484, 6471, 6458, 6445, 6432, 6419?\n\"Answer: -13*g + 6497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133698*n**2 - 2 + 133787*n**2 + 133728*n**2 + 2 - 401088*n**2.\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 74*k = -608 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 5. Let a be ((-6)\/(-9))\/(y\/3). Suppose -11 = -a*s - 2*t - t, -5*t + 14 = 3*s. Solve 4*f + s = -3*k, -4*f - 4 = k + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.64049 rounded to 1 decimal place?\nAnswer: 117.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2871*p**3 - 2*p**2 + 2*p + 6. Let w(f) = 2872*f**3 - 3*f**2 + 3*f + 9. Give -3*k(h) + 2*w(h).\nAnswer: -2869*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmmjmjmmjjjmmmjjj. Give prob of sequence jmjm.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5, -2*p + n - 29 = 8. Let l = p - -31. Let a = 15 - l. Solve 3*z - a = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 5, -17, -1, 7, 2 in decreasing order.\nAnswer: 103, 7, 5, 2, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 148, -1, 18, -3, 2 in descending order.\nAnswer: 148, 18, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 359 + -354. Factor -4*k**4 + 124*k**3 - 8*k**3 - 6*k**5 - 385 - 1343 - 11*k**y + 13*k**5 + 180*k**2 - 864*k.\nAnswer: -4*(k - 4)**2*(k + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1590 and 119\/720.\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, u: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(-6)\/(h*h*h**(1\/5)\/h*h*h*h*(h**5*h)\/h) assuming h is positive.\nAnswer: h**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 11) in base 13?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 28*n + 2 = -18. Which is the fourth smallest value? (a) 0.2 (b) -2 (c) n (d) -0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -30438*z - 10682. Is j(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296456?\nAnswer: 2, 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4418*w - 8681*w = -1375395 for w.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) -0.5 (c) -2\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 14*w = -9*w - 98 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -143, -144, -157, -188, -243?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 - (-6)\/4. Let r(h) = -h**2 + 2*h - 2. Let j be r(2). Let x be ((-12)\/(-168))\/((-1)\/j). Put x, s, -0.3 in decreasing order.\nAnswer: s, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -690 + 912. What is the remainder when 5769 is divided by v?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*f. Sort 5, f, 4.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6188 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qljbjjqqbq. Give prob of picking 2 q and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2\/16 + (-35)\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 429\/23 (b) 85 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 24*w**2 + 63*w + 34.\nAnswer: -(w + 1)**2*(5*w - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d73 + -14d50?\nAnswer: -13ecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivl when three letters picked without replacement from {s: 1, i: 1, l: 1, j: 3, v: 2, e: 5}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 148728.\nAnswer: -44618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:22 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + 326. Let f be (-213)\/l + (-3)\/(-4). What is the second smallest value in f, 1, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 0.54 (b) -5 (c) -6\/7 (d) -1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvd when four letters picked without replacement from {d: 1, z: 4, b: 2, v: 6, w: 4}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2888239, 2888259, 2888279, 2888299?\nAnswer: 2888319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79.981 + -80. Let n = -4.881 + u. Round n to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - 13*f**2 - 18*f**2)*(54*f - 134*f + 36*f) to j*f + k + m*f**3 + u*f**2 and give m.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981983114 - 0.067935?\nAnswer: 2981983113.932065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2332322202 (base 4) to base 15.\nAnswer: -106a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 3048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -4\/3, -1\/4, -0.3 in decreasing order.\nAnswer: -1\/4, -0.3, -2\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 6. Let m(x) = -1. Let r(l) = -5*m(l) + q(l). Let a(t) = 34*t**3 - 13*t + 2. Let z(k) = a(k) + 5*r(k). Find the second derivative of z(b) wrt b.\nAnswer: 204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*c + 3*z, -z + 5 = 5*c - 15. Let n(v) = -10 - 3*v + 9*v - 2*v. Calculate the remainder when n(c) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067822 greater than or equal to 17085141\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 h when four letters picked without replacement from sshffffhhshhfs.\nAnswer: 100\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.7 + -29.7. Let k = -220.3 + 220. What is the closest to a in k, 0.5, -0.5, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/40 and 75\/261356.\nAnswer: 2613560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5569 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*j**2)*(-3*j**2 + j**2 + 0*j**2) + (-21*j**3 + 1191*j**2 + 13*j**3 - 59*j**3 - 1178*j**2)*(j - 3*j - 8*j).\nAnswer: 666*j**4 - 130*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 13) to base 10.\nAnswer: -2197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 391*c**4*n + 3177*c**4 - 8*c**3*n + 2*c**2*n - 12*c**2 + 161*c + 245*n - 2 wrt c.\nAnswer: 9384*c*n + 76248*c - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3373 is divided by 748.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -191*n**3 + 7*n + 17. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50203036759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98740, 394972, 888690, 1579894?\nAnswer: 2468584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = 9*l. Suppose g - 3*v + 8*v - l = 0, 3*g + 3*v = -36. What is g rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 0.68. Let v = 21822918 - 21822918.69999944. Let p = v - a. What is p rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a**2*n**2 - 93287*a**2 + 100*n**3 + 21*n**2 wrt n?\nAnswer: 16*a**2*n + 300*n**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 563*k**3 + 519*k**2.\nAnswer: 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 8*s - 9*s - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/85, 25, 3\/2.\nAnswer: 1\/85, 3\/2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29077.\nAnswer: 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 19*g - 2. Let b be x(9). Sort b, -4, -3.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**3 - 2*p**2 + 1. Let w(s) = s**3 + 4*s + 14. What is the least common multiple of w(0) and d(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-48))\/((-1)\/(-4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6 - 8550196*b**3 - 5*b**2 - 840653*b - 4?\nAnswer: -120*b**3 - 51301176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17062401.\nAnswer: 3, 269, 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooyoooooooooy. What is prob of picking 3 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470 and 70.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 8.732?\nAnswer: 10.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**3 - 18*v**3 + 47*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from iiiiiijiiiijiijjiji.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 34 + 2703*u**3 - 58.\nAnswer: 2703*u**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Suppose k - z = 3. Let i(o) = -6*o - 126. Let b be i(-21). Sort b, 3, k, -1 in increasing order.\nAnswer: -1, b, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2142, -4320, -6556, -8856, -11226?\nAnswer: -13672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, z: 10, x: 2, h: 1}. Give prob of picking 1 h and 2 a.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19312 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10508 and 5\/12?\nAnswer: 31524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4172*w**2 - 2085*w**2 - 2091*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -146 - 2273?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1360*m + 32604. What is x(24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 26*d = -110. Calculate the remainder when 769 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 511.1 (b) 1\/8 (c) -4\/7 (d) -4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*28\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*o + 18, 3*o + 6*j - 3*j = -12. Let h = 0.043 + 4.957. What is the second smallest value in h, 0.4, o, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4 - (-8)\/1. Let l be 8\/w*35\/21. Let v = l + -2\/3. Is 2 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3663545 + -1982545. Round f to the nearest ten thousand.\nAnswer: 1680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 969 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r - 94. Let p be x(5). Put -2, 9, p in decreasing order.\nAnswer: p, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -751*x**2 + 1516*x**2 - 759*x**2. Let y(u) = 0*u**2 - u**2 + 3*u**2. Give p(y(s)).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2705347 = 4*x - 3*c, 617*x - c + 3381717 = 622*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 2271230984651?\nAnswer: 2271230984650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 2. Suppose -7*c - 21 + 7 = 0. Let w be (-11 - c) + (-13 - -27). Let r(l) = 7*l - 5. Determine w*p(k) - 2*r(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7*f = 24. Suppose -3*m + 33 = 3*z, 3 + 0 = z - m. Solve -f*b = -5*n + 18, -n + 2*n = -3*b + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1129\/6, 1 in ascending order.\nAnswer: -0.2, 1, 1129\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23*v - 347. Determine k(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:18 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 22. Let l be f(10). Suppose 3*p + 4*v - 933 = 0, l*p + 2*p = 2*v + 1244. Suppose -3*z + p = 986. What is z rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-459)\/18*(-20)\/30 + -15)\/((-4)\/(-118)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*s - 49*s + 88 = 0. Let m = s - 24. Find the common denominator of 47\/3 and -1*(0 - 0) + m\/210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 768?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 769 + -1173. Let s be y\/(-1266) - 4\/12. Let z = 7831\/1688 + s. Find the common denominator of -65\/18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57\/4 + 277\/20. What is the biggest value in -0.5, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 1 + 4 + 6*r - r. Suppose 0 = 2*f + 2*z + 6, -5*f + z - 3 = -0. Let j(n) = n - 1. Calculate f*j(k) - b(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + 1 - 4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115356313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 664 and 6?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26950)\/(-1050) + (-36)\/(-27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (sqrt(405)*2 + -4)**2 - (-1*sqrt(405)*1 - (sqrt(405) + 0)**2*-2)).\nAnswer: -135*sqrt(5) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*v = -11 + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/272190870*906319146\/26. Let z = -1\/490434 + l. Let u = z - -18\/37. What is the third biggest value in -4\/5, 0, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 13 - 15 = 0. Let q = -10 + d. Let r be q - (2 + -1 + 1). Solve h - r*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acx when three letters picked without replacement from {v: 2, x: 1, q: 1, c: 2, d: 5, a: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*k + 263, -34*x + 45 = -33*x + 3*k. Solve -12*m = -x*m + 234 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 43 + 12. Let s be (3 - -1)*(-1)\/2. Let u be 6*1\/4*s. Sort -1, u, y in decreasing order.\nAnswer: -1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 34. What is the smallest common multiple of 2 and i(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567*u + 562*u = 3*c - 149, u = 6*c - 353. Suppose -2*s - 10 = -3*k, -2*k = -7*k - s + 21. What is the remainder when c is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 270660969.865 + 5.\nAnswer: 270660974.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 22979*i - 466. Is s(7) 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 10, -14\/33, 0, 0.9, -316\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1179, -2342, -3531, -4758, -6035, -7374, -8787, -10286?\nAnswer: -11883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/(-7)*(-182)\/(-26). Calculate the highest common factor of s and 946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. What is the second biggest value in o, -2\/27, 2\/5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/3 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 (base 9) in base 6?\nAnswer: 11333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -61 - (1 - 2). Suppose -4*x - 5*x = -882. Let o = x + c. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -16. Suppose 4*x - 34 + z = 0. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 451619 = -4*x - 451850 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722447220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**2 - 8*q - 7601 + 3722 + q + 3886. Let l(w) = -15*w**2 - 15*w + 15. Let v be (1 + 1)\/((-2)\/(-13)). Determine v*k(y) - 6*l(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3867 or 2\/7?\nAnswer: -3867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**7\/840 + b**5\/120 + b**4\/3 - 3*b. Let k(g) be the third derivative of j(g). What is the first derivative of k(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/21)\/(16\/4)*(-24)\/60.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/33 - 200\/(-11). Suppose 2*g + j = g. Let p be -6*(-3)\/g*-4. Solve -2*w + p*w = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r + 9. Let k be x(7). Suppose -p + 2*t + 0*t + k = 0, 0 = 4*p - t - 1443. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130632313 + -23.8587.\nAnswer: -130632336.8587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126172188723*r**3 + 126173419197*r**2 + 1230477*r + 3.\nAnswer: 3*(r + 1)*(205079*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -5, -37, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/1 + (-17)\/((-153)\/2178)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(605)*-3 + -6*(-1 + sqrt(405)).\nAnswer: -120*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 49616.\nAnswer: -3\/49616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2940 and -51\/10.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 10*v**2 - 7\/24*v**4 + 0 - 1\/60*v**5 + 0*v - v**3. What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/493856424 and -101\/548729360.\nAnswer: 4938564240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4494, 17907, 40262, 71559?\nAnswer: 111798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*u**4 + 5*u**2*z + 232*u**2 - 954*u*z + 7*u + 115 wrt u.\nAnswer: -1248*u**2 + 10*z + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -46. Let r = j - -53.2. Let c = 40.4 - 40. What is the smallest value in 0.12, c, r?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*x**4 - x**2 - 3 + 0*x**4 + 1 - 2*x**3 in the form p*x + w*x**4 + y*x**2 + n*x**3 + b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 2, -113 in ascending order.\nAnswer: -113, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j)**(-37)*(j*j**(-9)\/j)**(11\/6) assuming j is positive.\nAnswer: j**(-1539\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -38)\/(-2) + 2. Let w be 4\/(-2)*-1 - 0. Suppose -n + 24 = w*n. Calculate the greatest common factor of t and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q - 336. Let v be f(-42). Determine x so that -1\/3*x**2 - 2\/3*x**3 - 1\/3*x**4 + v + 0*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 3*p**3 + 4 - 5*p**3 + p**3 - 2*p**2 + 2*p**2. Let x be g(0). Put x, -6, -5 in decreasing order.\nAnswer: x, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.99 and 0.23?\nAnswer: -1.1477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 - 11*x**2 + 4 + 12*x**2 + 8*x. Let s be h(-6). Let u be 91\/(-231) + (-2)\/s. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1367005967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 231*x**3 - 2*x - 1. Calculate y(-1).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -17, -777.\nAnswer: -777, -17, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) 0 (b) 0.4 (c) -514 (d) -1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Let q be 2*(45\/10)\/(-9)*-2. Suppose -2*u + 8 + q = x. Solve 0 = u*m - 20, 8*i - 3*i = -m - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 885 - -1672?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15333, 31504, 47675, 63846, 80017?\nAnswer: 96188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 1. Let h be x(2). Suppose 0 = h*j - 3*j - 3*i - 22, -5*j = -5*i - 60. Suppose -4*r - j = -54. What is the remainder when 29 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 2*p = -12, 4*g - 11 = -3*p. What is the third derivative of 7*a**2 - 2*a**2 - 93*a**4 + 20*a - 3*a**2 - 4*a**g wrt a?\nAnswer: -2232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/19)*v)\/v*v*v*v\/(((v*v**(-2)*v)\/v)\/v)*v assuming v is positive.\nAnswer: v**(131\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -38*t + 488. Let a be y(-12). Sort 0, a, 2 in ascending order.\nAnswer: 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 3*x + 6*x - 13, 0 = 5*h + 4*x - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 2*s**2 - 3*s + 1. Let l(p) = p - 2. Let a be l(5). Let d be j(a). Solve 0 = -3*y - 2 - d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1820)\/(-7735))\/((-20)\/340)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32452 less than or equal to -32452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let r(f) be the third derivative of f**4\/24 - f**2. Suppose -2*l + 36 = l. Let w = -16 + l. Give w*r(i) - 5*u(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -151\/3. What is the fourth smallest value in 8, -5\/3, z, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - d - 6355 = 7*q, -2*q - 2542 = 5*d. Let y be (-3)\/4 + q\/(-164) + 1. What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6.94311.\nAnswer: 4.94311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 6*x**2 - 51*x - 98. Let s be f(-2). Solve 2*l - s = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000012000 (base 3) to base 12.\nAnswer: -b576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 86 = 164. Suppose -a*y + 1070 = -13105. Calculate the greatest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f - 6. Suppose 3*i - 6 = 18. Let h be m(i). Let k = h + 59. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - 11*b + 4. What is v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 7*r**2 - 8*r + 2. Let v be o(-4). Let k(h) = -8*h**3 + 9*h**2 + 32*h + 1. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Solve l*x + 13 = -n, 5*n + 33 = -5*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 + m - 6*m + m**2 + m + 5*m. Let x(h) = 2*h**3 + 4*h**2 + 4*h - 7. Let s(f) = 4*p(f) - x(f). What is the derivative of s(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffj when four letters picked without replacement from ommjffmfmf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15241, 15240, 15239, 15238?\nAnswer: 15237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:53 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407 - -439.9. Let z = h + -35. Let a = z + -1.1. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/429 and 36\/107003.\nAnswer: 3531099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 - -1417.6675.\nAnswer: 1454.6675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30738.9 < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.083738 weeks to seconds.\nAnswer: 2469844.7424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:48 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmmimmiimirim. Give prob of picking 2 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b*c**2*o - 19*b*c*o**3 + 3*b - c**2*o + 299*c**2 wrt o?\nAnswer: 10*b*c**2 - 57*b*c*o**2 - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m - 12. Suppose 0*f = 4*f - 16, -3*f = -3*n + 6. Let t be (-79995)\/m*n - (-3)\/(-2). Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((2 + sqrt(11) + -4)**2 + 2).\nAnswer: -16*sqrt(11) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) -0.1 (c) 10 (d) -2 (e) 1\/11 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 54 = -u - 171, 195 = 5*c + 5*u. Suppose -t = t - 22. What is the highest common factor of c and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g - 792 - 92 - 52 = 0. Let s(m) = m + 11. Calculate s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nninnnni. What is prob of picking 3 n?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*p - 39. Let t(m) = -27*m - 13. Let d be t(-4). What is the highest common factor of p and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 17 + 10 - (-1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 30*a + 193. Let h be u(-5). Let t(o) = o**2 + 6*o + 2. Let x be t(-5). Is x at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -9. Suppose 6*j = 9*j + 27. Does 8 divide (c\/j)\/((-2)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6605\/6 - 1096. Let v = t - 79\/18. Determine s so that -v*s**2 - 2\/9*s**3 + 0 - 2\/9*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*(-18)\/105*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/21 - 5876*o\/21 + 996910\/7.\nAnswer: 2*(o - 2283)*(o - 655)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6502, 10688, 14874?\n\"Answer: 4186*z + 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let q = 6 - 6. Solve -2*l = -m - 1, m + q = -d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -31*c - 4. Let y be h(3). Let z = y + 180. Suppose -5*u = -5*j + 17 + z, -3*j + 55 = 2*u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 13*x**2 + 5*x + 5. Calculate f(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(20\/9))**20*c\/c**(-1\/4)*c**4*c**(-1)*c**(-2\/17) assuming c is positive.\nAnswer: c**(29729\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.6, 127\/5, 5, -0.4 in decreasing order.\nAnswer: 127\/5, 5, 0.6, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41007608?\nAnswer: 2, 5125951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(168)\/(sqrt(24)\/sqrt(4)))\/((sqrt(36) + (sqrt(36) - sqrt(36)*-1*-3))\/sqrt(9))*-4.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 91, 2, -1, -5 in decreasing order.\nAnswer: 91, 21, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -24*c - 10. Let w(z) = -z**3 - 2*z**2 + 12*z - 2. Let i be w(-5). Suppose 8 = -7*a - i. Let r(o) = 3 - 3*o - 1 + 8*o. What is a*j(f) - 14*r(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16740 and 7965.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8*a - 52 = 3*a, -r + 2*a = 1. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -757*j**6 + 2*j**2 + 107*j wrt j?\nAnswer: -90840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.9 - -18.8. Let r = -6 + c. Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 0*j**2 - j**2)*(-70 + 231 + 104) - 2*j + 2*j + j**2 as o + i*j**2 + l*j and give i.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -0.1. Let l be -1*3 - ((-2)\/(-1) + -23). Let x be (11\/(-7) - -1) + (l - 18). Put x, k, 0.1 in ascending order.\nAnswer: x, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 4*s + 2 + 18 = 0, -117 = 3*i - 5*s - 95 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 3. Let k be a(3). Let w = -38 + 43. Solve -k*d + 0 = 5*h - w, 5*d = 5*h - 45 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 20*n + i + 35, 5*n - 65 = -5*i. What is the highest common factor of n and 4168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38368.9*144.\nAnswer: -5525121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-119)\/42 - -3)*501*10\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1606 + -269?\nAnswer: 136a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let s(l) = 0*l**2 - l**2 + 8 - 8. Determine s(v(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * 2340.\nAnswer: -327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2. Suppose -2*q = 2*q - 4. Let z be (4 - (2 - 1))\/q. Let h(u) = -5*u**2. Suppose 3*v + 2*l = 1 - 27, -v = -l + 7. Give v*f(n) + z*h(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 + 3*c**2 + 5*c + 3. Give s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**3 + 25*m**2 - 24*m. Suppose 12*y + 20 = 17*y. Let c(r) = 7*r**3 + 13*r**2 - 12*r. Let i(h) = y*a(h) - 7*c(h). Factor i(b).\nAnswer: 3*b*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19737 - -25823.5. What is u rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1 + (-2)\/(-3)). Let w(i) = 2*i - 4. Let d be w(4). Suppose z + z - 14 = x, d*x + 21 = z. Which is the closest to k? (a) z (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6225, -23350, -51891, -91848?\n\"Answer: -5708*u**2 - u - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -64 - (-6336 + 6324)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/67179288 and 41\/375004?\nAnswer: 470255016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -20. Let z(d) = d**3. Let g(p) = -9*p**3 + 1. Let s(r) = -g(r) + 3*z(r). What is s(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*j**3 - 233*j**3 - 230*j**3 + 910*j**3 - 221*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/14 + 6\/(-4). Let j be 3 + h + 19\/(-6). Let v be (-5 - 0)*(-3)\/15. What is the closest to 0 in j, v, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:54 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.056, 9.5, -418 in ascending order.\nAnswer: -418, -4, 0.056, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -9*d + 18*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 8*t**2 + 20*t + 13. Let c be l(10). Let y(d) = -3*d - 1. Let r be y(-2). Solve 0 = r*a - 3 + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16715558 to the power of 1\/2, to the nearest integer?\nAnswer: 4088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24653 and 554?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 258042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/12*992\/(-1240)*-275.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8377 (base 12) to base 2.\nAnswer: -11100000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 - 22*o**2 + 4*o - 53. Let w be g(25). Let h = -20561 + w. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-2*sqrt(52))\/((sqrt(4) - 1*sqrt(100))*2).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11886, -23770, -35652, -47532, -59410, -71286, -83160?\n\"Answer: g**2 - 11887*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 256 = 4*k + 60, 4*o = -2*k + 742. What is o rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 90. Let a = -56 - i. Let r = a - -34. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014207478 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 2892102.\nAnswer: 187986630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -880*g - 1 + 880*g + 18*g**3 + (-5 + 5*g + 5)*(3*g**2 - 2*g**2 + 5*g**2) as m + y*g + z*g**2 + p*g**3 and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(19) + -4 - (sqrt(38)\/sqrt(2) + -3)**2) + -3)*-4.\nAnswer: -44*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66936731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 746111738495536\/24155 - 30888500859. Let f = g - 2\/4831. What is the common denominator of f and -70\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/112 - (460\/160 + -3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28456?\nAnswer: 2, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 439, 0.1, 2\/7, -10, -0.073?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 45. Suppose z = 3*m - 74 + 56. Solve m*r = 5*k + 3*r + 9, 4*k + 12 = 4*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58 + 58 - 22*d + 127*d - d**3 + 94*d + 126*d**2 wrt d.\nAnswer: -6*d + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 2*a + 164, 0 = l + 4*a - 41. Suppose 0 = 36*y - l*y + 13855. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:31 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/105 - 323*f**6\/120 - 107*f**5\/20 - 364*f**2. What is the third derivative of x(o) wrt o?\nAnswer: -48*o - 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*x - 1037 + 1037 + (-2*x + x - x)*(-474 + 195 - 439).\nAnswer: 1383*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20335 is divided by 20310.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 38 - -42 - 580\/28\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-77)*-1*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3467256.\nAnswer: 2, 3, 13, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 31. Let b = t + -8. Let c = -20 - b. Let u(f) = 6*f**3 - 1. Determine u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.002 - -0.888. Let k = -19.87 + 22.984. Let s = k + g. Put -5, s, -1\/4 in increasing order.\nAnswer: -5, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14700296 divided by -26?\nAnswer: -565396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1026336 + 3?\nAnswer: 1026342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(27\/12)*(-36)\/(-8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 2, w: 1, d: 1, c: 3, i: 1}. What is prob of sequence iwf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 29*b**2 - 60*b - 9. Give s(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 185, 276, 367?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 4*b = 3*x + 10*x - 16, -49*x = 2*b - 298 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435891, 435890, 435889, 435888?\nAnswer: 435887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/3 + 71*z**4\/3 + 646*z**3\/3 + 750*z**2 + 1107*z + 549 = 0. What is z?\nAnswer: -61, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1382461, -2764929, -4147397, -5529865?\nAnswer: -6912333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/279 + 8\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2 + 0*v + 1\/4*v**4 + 6 + 0*v**3. What is the second derivative of x(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q**3 + 3*q**2 + 7*q - 6. Let b(a) = a**3 - a + 1. What is 6*b(i) + h(i)?\nAnswer: -5*i**3 + 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2950*y - 138800 = -174*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1606 and 18.25713973?\nAnswer: 18.09653973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1788 (base 9) to base 12\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 12. Let r = 114 + -97. Suppose -r*y - 53 - 134 = 0. Determine s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 525\/225*(1 + 8). Let q(s) = 1 + 4 + 8 + 5 - u. Let x(v) = v**3 + 1. What is -3*q(d) - 9*x(d)?\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17982.\nAnswer: 1\/8991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4967, 9934, 14913, 19910, 24931, 29982?\nAnswer: 35069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 4}. Give prob of sequence cccc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let b = 29 - 0.7. Let t = b + -28. Put h, -0.5, t in increasing order.\nAnswer: -0.5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12780923 to the nearest integer?\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 72, 107?\n\"Answer: 35*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:05 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21170212 is divided by 569.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21223110102 (base 4) in base 11?\nAnswer: -1482971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*d = 3*d - 89, 3*d = m - 43. What is the remainder when 119 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60231196 to the nearest integer?\nAnswer: 7761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9 + 8\/6. Suppose 2*w - 104 = -c*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 1)*(-67)\/(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*b - 31. Does 18 divide 45\/b*2*-17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*i + 136. What is the remainder when 25 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 207 - 2*m - 961 + 3*m.\nAnswer: m - 1168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 188 + -187.19. Let l = g + -0.15. Let c = 0.56 - l. Is 0.1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:18 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 4, h: 3}. What is prob of sequence uuru?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*18\/(-27))\/((-6)\/(-21)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 16*l + 21. Let x be w(9). Let u(h) = -25*h + 10*h + 12*h + 3*h**2 + h**x + 3. Calculate u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 85. Solve -x*q - 20 = 0, 5*q + 15 = -3*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31263029467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -297 + 309 - (0 - -9 - 0) - 58\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 2, p: 3}. Give prob of picking 2 q and 1 p.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -156. Let i = q + -11\/6. Suppose r = 6*r + 15. What is the closest to 0 in r, i, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 12, 30 = 5*v - i + 6*i. Suppose v*d - 24 = -12. Solve -4*a + 26 = -3*x, -d*x = -4*a - 4*x + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 50*o**3 - 115*o**2 - 60*o = 0. What is o?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 19 + 13 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 7*f = -34, 9*q + 2*f = 7*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -288\/107 (b) -0.3 (c) 0.4 (d) 2.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3623 by -45.\nAnswer: -3623\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Suppose -10 = s*p - 10*p. Suppose -4*c - 5*m - 9 = 22, -5*c - p*m = 26. Sort 2, 4, c in ascending order.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g + 3\/2*g**2 - 5. Let x(t) = -6*t - 2. Give -5*s(p) - 2*x(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 + 2*i**2 - 7. Let j(w) = 4*w**3 - 3*w**2 + w + 8. Let l(c) = 4*j(c) + 5*r(c). Is l(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/123 and -38\/393.\nAnswer: 16113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1008814.8399908 - 1008781.84. Let d = 33 - k. What is d rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5935, 11349, 16763, 22177?\n\"Answer: 5414*d + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*85\/11560*148?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -1\/4*f**4 + 0*f**3 - 3\/2*f**2 + 5 + 4*f. Let q be g(-8). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 44691?\nAnswer: 44688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from jrjjrpqj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -40947*z + 409450. Determine n(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 18, o: 2}. Give prob of picking 2 c and 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - 1)\/(-60*1435\/(-221400))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttytqy. Give prob of picking 2 y and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 3.75?\nAnswer: 3.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 40*p - 35 + (-3 + 0 + 1)*(7*p + 0*p - 3*p) - p + 2*p - 2*p to v*p + m and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/7 and (-494)\/96 - (22 + -25).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 15*y**2 - 31*y + 9. Let n be s(12). Suppose n = -5*x + 79. Solve d + x*u = 1, 4*u + 0 = -d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-11)\/(-154))*1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let u = -164 - -164. Let m(l) be the third derivative of 0*l + u*l**3 - 9*l**2 + 0 - 1\/2*l**4. Determine g(m(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1015428*y**4 + 4*y**3 + 3*y**2 + 8785869*y.\nAnswer: 12185136*y**2 + 24*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1280 + -1200. Solve -13*w - 7*w = -f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 0.4, 14, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/1481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = i - 581, 2*a + 2*i - 153 - 139 = 0. Suppose 5*k = 5*l + 295, 5*k + 2*l = 6*l + 294. Calculate the highest common divisor of a and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9129819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 2 (c) 13.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 121 - 39. 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: Calculate 0.13634*0.08.\nAnswer: 0.0109072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/3 + 5830008*x + 12745872480024 = 0.\nAnswer: -4372506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k*k*k**(-1))\/(k**(-3\/4)*k*k**(-4)*k) assuming k is positive.\nAnswer: k**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*182\/(-22620)*(-5)\/(35\/6).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26701 + -186909\/7. Let r = -3.07 + 0.07. Which is the nearest to l? (a) r (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23939 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.0454 - 14.2398112\nAnswer: -15.2852112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**3 + 874955*y**2 + y - 5160789?\nAnswer: -18*y + 1749910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.039 (c) 0.2 (d) 2\/17 (e) -4 (f) 37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 1 + 0 - sqrt(1377)) + (0 + sqrt(1377))*1 - 3*((sqrt(1377) - (sqrt(1377) + -2*sqrt(1377))) + 0))**2.\nAnswer: -90*sqrt(17) + 34426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.01 - 6.041. What is the nearest to -0.1 in n, 2\/7, 4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3580602001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 894 + 1072 + 1137 - 3082.\nAnswer: j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410504.9 times -0.3?\nAnswer: -423151.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/240 - 2*m**2. Let z(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7077\/10 - -711. Find the common denominator of f and ((-732)\/6)\/(16*-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 1373 - 1277 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 + 29*j + 27. Let z(t) = t**2 - 6*t - 2. Give -w(a) - 6*z(a).\nAnswer: 2*a**2 + 7*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*n**2 - l**3*n + 5*l**2*n**2 + l*n + 11*n**2 wrt l?\nAnswer: 6*l*n**2 - 6*l*n + 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 - 6) - (1 - -18 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 + 8*r - 3. Let k be j(7). Suppose -19 = -2*p - 0*w - 3*w, -k*p - 3*w = -23. What is the third biggest value in p, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1277 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:27 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.51, -2.3, -0.2, -1, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14173802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) -0.03633 (c) 22 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -19*n**4\/4 - 2*n**2 - 3*n - 7. Let l(o) = 2*o**2. Determine l(u(r)).\nAnswer: 6498*r**4 + 912*r**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p - 15. Sort 1, -1, p in decreasing order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t + 16. Let k(v) = -207*v - 264. Let i(r) = 2*k(r) + 33*o(r). Let d(g) be the first derivative of -g**2\/2 + 1. What is i(d(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*q = -5, 3*k + 3*q + 10 = -q. Let b be (-6)\/2*4 + -2 - (-779 - -773). Let w = b - k. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-338)*(-4)\/(-70)*5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/154 - (-19)\/7) + 7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/12 + (-417)\/(-12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -a*k + 3*k = 0. Suppose q - 3995 = -2*f - 2*f, k = -q - 5. What is f rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.272 millilitres in litres?\nAnswer: 1.167272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**32*(y**(4\/11)*y)**(-5\/7) assuming y is positive.\nAnswer: y**(-75\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-524*i + 7*i**2 + 524*i)*(6 - 2 - 3)*(-3 + 2 + 4)*(-1 + 1 + 2).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 191333.1 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29\/8 + -581\/200. Let x(f) be the first derivative of i*f**5 + 1\/10*f**6 + 6\/5*f + 21\/10*f**4 - 29 + 16\/5*f**3 + 27\/10*f**2. Let x(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + (89 - 5) - (-2 - (-5 - (2 - -1)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 20. Suppose 2*p + 2*g = -10, -4*p - 4*g = -9*p - 16. Let b = p + 7. Sort u, b, -2 in increasing order.\nAnswer: u, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/280)\/(((-405)\/50)\/27).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1768 - -21?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 26. Let p = -23 + 10. Let k be a(p). Let b = -7 - k. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8586 - 8583. Put 2\/7, 0, i, -4.15 in decreasing order.\nAnswer: i, 2\/7, 0, -4.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + -3*(sqrt(1377) + 0) + 5 + sqrt(1377) + sqrt(1377)*-1 + sqrt(1377))*3 + -4)**2*-6.\nAnswer: -300606 + 14904*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47454 and 7.\nAnswer: 332178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210222201 (base 3) to base 14.\nAnswer: 1628c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 2, j: 1, v: 7, c: 2}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189039 <= 189081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 25*y**2. Let o be u(25). Let n(j) = 2 - 2*j**3 + j - 4*j**2 + 9 - 6*j + o*j. List the prime factors of n(-5).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1020 and 8557188.\nAnswer: 42785940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 65*a**2 - 11*a + 49. Is p(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(1 + 17))\/(2\/(-5)). Let k(g) be the first derivative of 2\/3*g + 6 - y*g**4 + 1\/15*g**5 - 7\/6*g**2 + g**3. Factor k(r).\nAnswer: (r - 2)*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1932.19 (b) -0.2 (c) 0.061 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68480040 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide 26706342 by 342389.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 1288 = -13*o - 9*o for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-2\/67)*o)))**(-6)*o**(-10)*o**36 assuming o is positive.\nAnswer: o**(950\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -26)*(-3 - -4). Let a(g) = -21*g**2 - 27*g - 27. Let q(x) = -3*x**2 - 4*x - 4. Let n(f) = v*q(f) + 4*a(f). Let i(o) = 2*o**2. Calculate n(i(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)*i*i*i\/(i*i**(-2\/9))*i*i**(-2\/3)*i*i**12*i*i)**(19\/6) assuming i is positive.\nAnswer: i**(20843\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**3 - 4*v**2 - 3*v - 16. Let m(z) = -29*z**3 + 12*z**2 + 8*z + 45. Give -11*j(o) - 4*m(o).\nAnswer: 6*o**3 - 4*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 12. Let b(a) = 6*a**2 - 7*a - 1. Let g(w) = 12*w**2 - 14*w - 1. Let j(h) = k*b(h) + 3*g(h). Let o(r) = r**2 - r - 1. Determine -j(v) - 5*o(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = 5*v, 4*g = -3 - 1. Suppose -3*k = -7*k - o - 5, v*k = -5*o + 7. Is 0 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -93. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40728 by -6788.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d - 4. Suppose -3*b - 2*c = 1133, -4*b + 216 = 4*c + 1724. Let j = b + 381. Give g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) + (-266)\/540)\/(145\/870).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 26*m - 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o - 7. Let y(w) = -4*w - 4. Suppose -23 = 4*s + a + 14, -3*s = a + 27. Calculate s*y(r) + 6*u(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -144*l. Let h(m) = 2512*m - 7555*m + 2524*m + 2502*m. What is -42*h(v) + 5*n(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 2 - v**3 + 2 + 3*v - 3*v**2. Let i be z(-3). What is the units digit of 1 - (i + 4 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032 (base 8) in base 11?\nAnswer: -875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3825.0000004 - -3825. Round h to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - 2*p)*(0*p - 4*p + p)*(-3 + 2*p + 3).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 + 4*l + 4. Let c be m(-1). Sort 0, -2, 3, c in decreasing order.\nAnswer: 3, 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*7*(-11)\/33. Let o(t) = -29*t + 51. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*h + 3*g, -15*h - 115*g + 15 = -116*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4123 + -4125. Let r(n) = -3*n**2 - n - 4. Let u be r(3). Let z = u + 133\/4. Which is the third biggest value? (a) v (b) 2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20968, 2, -24 in descending order.\nAnswer: 20968, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 28. Give l(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*l - 22 = 0, -l + 4*l = -4*s + 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 9*1\/(-7). Suppose 0 = -25*w - 22 + 22. Are k and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3309492 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 9 (b) 115 (c) -16\/3 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 1 v when three letters picked without replacement from pzwvpvvwv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -858.\nAnswer: -858.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -1773, -3929, -6941, -10815, -15557?\nAnswer: -21173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-924))\/((-1)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 5*d + 23. Let h be a(-9). What is h rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/44*(-11)\/((-132)\/8)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*u**2 - 227*u**2 + 0*u**3 + u**3 in the form j*u**2 + t + q*u + b*u**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 230802181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -554\/15*y - 238\/15*y**3 - 2\/3*y**4 - 614\/15*y**2 - 56\/5 = 0.\nAnswer: -21, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b*m - 26*b - 4*m - 10 wrt b?\nAnswer: -4*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*s - 79*s + 161827 = 4215*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3833 - -6403. Suppose -4*o = 6*o - s. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 24*r**2 - 48*r**2 - 4*r + 28*r**2 - 7*r as h*r**2 + t*r + c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 - (-1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-584)\/(-36) + (-87)\/27 + 3. Let c(t) = -t**3 + t**2 + 4. Let b be c(0). Calculate the highest common factor of b and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**4 + t**2. Let r(n) = 92*n**4 + 2*n**2 + 457. Let v(c) = r(c) + 2*z(c). Find the first derivative of v(k) wrt k.\nAnswer: 352*k**3 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87315 (base 10) to base 5\nAnswer: -10243230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2243 - -6.7757. What is the closest to -11 in 9, q, -5\/2, 1\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001001 (base 2) in base 15?\nAnswer: -5ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113161296 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1072 divided by -5.\nAnswer: 1072\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + 0 + (-68 - -33 - -75 - 31).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1437*k**3 - 2841*k**3 + 1403*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -108. Let w(o) = o**2 - 32*o + 48*o - q*o - 11. Determine w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -505\/3 - -167. Let l = -108 - -107.7. Let j = 0 - 0.2. Which is the second smallest value? (a) l (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/3, -0.12 in descending order.\nAnswer: 2\/3, -0.12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 - 18295*w = 0. Calculate w.\nAnswer: -3659, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171999?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p**3 + 223 + 15*p - 223 - 15*p + 1590*p**2 - 1589*p**2.\nAnswer: -122*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -3267, -7353, -13073, -20427?\nAnswer: -29415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + -34481?\nAnswer: -34498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(200))\/((sqrt(108)\/sqrt(3))\/sqrt(6) + sqrt(6)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1030, 4307, 10114, 18733, 30446, 45535?\nAnswer: 64282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 0*h**3 - 2 - 43*h + 2*h**3 - 29*h + 26*h - 5*h + 19*h**4 as n + c*h**2 + x*h**4 + f*h**3 + m*h and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1141*x - 12567. What is l(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3720 - 3627. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105579 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*q - 760*l**3 - 4*l**2 + 33232*q + 3 wrt q.\nAnswer: l**3 + 33232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 32891*r + 423 + 25759*r.\nAnswer: 58650*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 654*k**2 - 3351*k + 1293. What is u(223)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10 and -8 + 3 - 181627\/(-37062)?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-30))\/(5\/((-75)\/(-18))). Put -2, 1, v in decreasing order.\nAnswer: 1, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 7. Suppose 158*c + 36 = 152*c. Let u = -5 + 9. Let k(d) = d - u*d - 2*d + 2 + 6. What is c*k(a) + 7*t(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 2, c: 11}. What is prob of sequence kk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16*-2255\nAnswer: 36080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.4, -238, 0.48?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 4*n**2 + n**2. Let u(t) = -t + 1. Let i(a) = -2*a + 3. Let x(o) = 2*i(o) - 6*u(o). Determine q(x(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130053696.44 rounded to the nearest 100000?\nAnswer: -130100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - p - 13 = 78, 4*f + p = 93. Let i = -14 - -28. Calculate the remainder when f is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + (-1)\/(693\/(-6438)). Let p = -1\/11 - w. Is -1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 197*n + 11298618 - 2728527. What is n rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -13)*(-6)\/(-9). Solve -d = -4*u, 4*o + 3*u + 12 = 38 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/2128?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2218 + -62.9.\nAnswer: -57.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237*c**2*d**2 - c**2*d - 138124*c**2 - c*d**3 + 3*c*d**2 + 2*d**3 wrt d.\nAnswer: -474*c**2 - 6*c*d + 6*c + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 - 5.4. Suppose -393 = 2*i + 5*m, -m - 567 = 3*i + 2*m. Let d = i + 1286\/7. What is the closest to 0.1 in y, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-245)\/140)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 3*m**2 + 5*m + (-3 + m + m + 2)*(-2 + 2 + 5*m) + m + 11*m + 3*m**2 - 11*m - 3 to v + o*m**2 + a*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -28 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 165 = 4*p, -3*p - 2*c = 2*c - 122. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2651*b**2 + 9 - 3 to the form h + z*b**2 + u*b and give z.\nAnswer: 2651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 32) + 4 + -44.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -28*k**4 - 392804*k**3 + 11922660*k**2 + 8828804*k - 3486632 = 0.\nAnswer: -14059, -1, 2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156682594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14895457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 4*j**2 + 3*j + 3. Suppose -2*n + 4 = 8. Let o(y) = -5*y + y - 3 + 0*y. Let i be o(n). Determine u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -41?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258303 is divided by 6818.\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h + 3. Let q(a) = 20*a**2 - a + 113. Calculate z(q(x)).\nAnswer: 380*x**2 - 19*x + 2150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/6 - d**2\/2 - d\/2 - 3. Factor z(t).\nAnswer: -(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.21371 rounded to two decimal places?\nAnswer: -98.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let z(d) = 6*d + 2. Suppose -5*o - 5 = 100. Let a = o + 22. What is a*z(h) + 4*x(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -431, -858, -1625, -2732?\n\"Answer: -170*p**2 + 83*p - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 111. Suppose c = -4*i + 105. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -22*y + 4*v + 28, -2*y + 4 = 2*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426722 is divided by 1831?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. Let z(o) = -6*o**2 + 3 + 1 + 2*o**2 + o + 11*o**3. List the prime factors of z(f).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*f**3 + 858*f**2 - 2268*f + 168*f**2 + 4*f**4 + 648 + 8*f**4 - 3*f**4 = 0. Calculate f.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + 25. Let a = p - 65. Let b(w) = -w**2 + w + 25. Let f be b(a). Solve -3*t + 0 = -9, -f*t = -4*h - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 20. Calculate a(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:49 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 30137?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114204850 and 730?\nAnswer: 114204850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5192 and 29264?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.015 and -0.132.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11 - 88 + 3*g - 34 + 14. Let k be q(42). Solve -k*y = y - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 - 567\/2. What is the nearest to -1\/4 in 20, 1\/7, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*f + 10, -q - 2 + 4 = f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 2) + -12 + -14 + 2 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**2 + 3*l**2)*(-2801 + 1869 - 17476)*(-1 + 2 + 0)*(-2 + 2 - 1)*(-1 + 4 - 1).\nAnswer: 73632*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w + 21. Suppose 5 = -2*f - 3*f. Let s be (1*f)\/(5\/(-10)). Let c(t) = -3*t - 4. Give s*g(h) + 11*c(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -244 and 0.018.\nAnswer: -243.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gelqhhglhelelehlehe. What is prob of picking 1 h, 1 q, and 1 g?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 10*m**2 - 17*m + 9. What is t(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b - 3 + 14*b - 25*b. Let i be v(-6). Let l = i + 52. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) 1.3 (c) -1\/3 (d) -0.5 (e) -228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(4 + -5). Is (-2 + -1)*g + 50 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:10 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-10))\/((-33)\/(-4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-120))\/(2\/(-3730)). Suppose 2*m = -10, 11 = -2*r + 2*m + o. What is the remainder when r is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 676, 870, 1066, 1264, 1464?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 12. Let n be u(11). Solve -3*l + n = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s*y + 17*s + 938*y - 9 with respect to y.\nAnswer: 2*s + 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nineteen quarters of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Let k(t) = -3*t + y*t - 4*t + 0*t. Let v(s) = -4*s**2. What is k(v(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.006, -71647\/4, 2\/47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3 from 2.3.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(4 + -2*-2*sqrt(76) + (1*-2*sqrt(76) - sqrt(76)) + (sqrt(76) + -1)*5))**2.\nAnswer: -6144*sqrt(19) + 700672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/5*j + 72\/5 + 4\/5*j**2.\nAnswer: 4*(j - 9)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/261 and 107\/765852.\nAnswer: 66629124","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) 2.00541 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 10:35 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61.999995055 + -62. What is v rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*p = 309*p. Solve 5*c + 4*l + 7 = p, 0*c + 4*c = -4*l - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times -27.8?\nAnswer: -6143.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*m = 1094, -4*v + m + 2748 = v. Let z = 1491 - v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 366, 658, 950, 1242?\n\"Answer: 292*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1922 - 1917. Put 0, o, -2, -4\/7 in descending order.\nAnswer: o, 0, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**2 + 41*q + 175. Determine y(-5).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.5 (c) 7153 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 10*h**2 + 14*h - 10. Let m be j(-8). Let r = m - 6. Let z be (-15)\/6*(r - -2). What is the third smallest value in -0.3, -2, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1234777102 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*p*x**3 + 7*p*x**2 - p*x - 69*x**3 - 43*x - 2 wrt p?\nAnswer: -15*x**3 + 7*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-84 - -60) + 2 + 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 4. Suppose 0 = 2*b + 3 - i. What is the tens digit of b*-13*(1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**2 - 30 + 27\/5*w**5 - 1\/3*w**6 + 0*w + 0*w**4 - 12*w**3. Find the third derivative of b(d) wrt d.\nAnswer: -120*d**2 + 648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 9*s - 3 - 2 + 6. Determine k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7975*o - 14898*o + 8134*o in the form r + m*o and give m.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -382 - -379. Let b(g) = g**3 + 4*g**2 - 6*g - 2. Let q be b(r). Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -11. Suppose 3*v - h = 39. Suppose -v + 56 = o. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035936 rounded to 4 dps?\nAnswer: 0.0359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 136, -4, 4 in decreasing order.\nAnswer: 136, 10, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 41*s**3 - s**2 + 16*s - 195. Is r(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -1\/58, -0.8 in ascending order.\nAnswer: -220, -0.8, -1\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00087 times -0.2?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 + 5*d + 1. Let p be u(4). Let a be 0\/(-2 - -5) - -26. Let t = p - a. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85208 is divided by 878.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5217780.4 to the nearest 10000.\nAnswer: -5220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 34333?\nAnswer: -34331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464 + -456. Suppose a + t - 12 = 2*g, g + 5 = 2*a. Solve -5*j + 3*q = 2, -3*q - 3 = -2*j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1550212*x**2 - 1550212*x**2 - 7*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 399306.7 decades?\nAnswer: 3993.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 206*u + 595. Let w be i(3). Put w, -5, -12, -4, 0 in increasing order.\nAnswer: w, -12, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1243, 1239, 1239, 1243, 1251, 1263?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -33. What is the least common multiple of (t - -4)*(1 + (-96)\/(-18)) and 11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + d = 5*d - 432, -3*d = 3*q - 429. Does 29 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - k = -20, -s + 5*k = -0*s + 20. Calculate the common denominator of s\/15*(-296)\/12 and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(4 + (1 + -1*sqrt(1372))*3)*-5.\nAnswer: -840*sqrt(7) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -55. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/400 and -49\/22720.\nAnswer: 113600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 15*s**2 + 15*s + 15. Let o be j(-13). Let q = -61 + o. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2. Let b(i) = -i**3 + 7*i**2 - 11*i - 2. Let h be b(4). Let d(m) be the first derivative of -4 + 0*m + 0*m**h + 2\/3*m**3. Determine d(z(v)).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 36*g + 39. Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 - 2958*f**5 + 2*f**4 - 50298*f**2?\nAnswer: -120*f**3 - 177480*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 777 + -776.0151. What is r rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978968 to the power of 1\/2, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 316 = 64. Let t be 342\/k + 6\/(-14). Let i(w) = -w**3 + 6*w**2 - 6*w. Calculate i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-230) - 333\/(-370))*2\/(-29).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030604 seconds in nanoseconds?\nAnswer: 3060400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 676 + -3378\/5. Which is the third smallest value? (a) 5 (b) -6 (c) n (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.038555 and -0.7?\nAnswer: -0.0269885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 113663?\nAnswer: 113666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3752\/1716)\/7 - (32 - (-13572)\/(-429))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20 - 4*c - 9*c**2 - 14*c + 2*c**4 + 19*c wrt c?\nAnswer: 24*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-174 + 89 - z + 40)*(0*z**3 - 6*z**3 + 4*z**3) to u*z**3 + s*z**2 + r*z + f*z**4 + m and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.4631 (b) -123 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 10*v + 6 - 31*v - 2*v**2 - 3 + 9*v as t + a*v + m*v**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 2*c**2)*(-2825*c - 14 + 33 - 19).\nAnswer: -2825*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 258. Let i(z) be the second derivative of 0*z**2 + j*z**3 + 6*z + 0 + 0*z**5 + 1\/45*z**6 - 2\/9*z**4. Let i(a) = 0. Calculate a.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 9. Suppose -6*l + 4*l - 5*f + 8 = 0, -s*f + 17 = 3*l. Let i(n) = -3*n + 8. Let r be i(l). Which is greater: -18 or r?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 58536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*i + 491 = 4*i, 3*u = 4*i + 288. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 1 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = -242*k + 3402 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 920136?\nAnswer: 920136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2066232 and 55722.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.415035713 - 19.\nAnswer: -19.415035713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = 3*p. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o**2 - o + (-o + 1 - 1)*(o - o + 2*o) + 0*o - o**2 + 0*o + (-1 - 2 + 2)*(-2 + 2 + 2)*(-10*o**2 + 88 - 88).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -45\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -562, -839, -1102, -1345, -1562, -1747?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6529\/24 - -272. Let p = t + -1\/8. Let x = -1.988 + -1.012. Which is the nearest to 1? (a) 0.3 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 - 14 = -4*l, -l = -5. Let f be ((-2)\/(-2))\/(s\/2). Suppose -2 = -2*j + f. What is the third biggest value in -1, 1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*o - 0*o - 13, 0 = 5*p + o + 8. Let u(w) = -2*w + 2. Let b be u(-2). Suppose -2*t + l + b + 0 = 0, -5*t - 15 = 5*l. Are p and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -2\/21, -0.09, -5 in descending order.\nAnswer: -0.09, -2\/21, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322975 is divided by 31698?\nAnswer: 5995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 9 - (-1 - -6)) + 7 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvrzzvzvgnirg. Give prob of sequence znir.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*c - 7 + 19 - 8 - 5.\nAnswer: -765*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -75*p**5 - 232035*p**4 + 4716108*p**3 - 4990656*p**2 - 6315648*p - 1419984 = 0.\nAnswer: -3114, -2\/5, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 1, m: 3, x: 3, z: 2, i: 3}. What is prob of sequence zf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + 0.6. What is the biggest value in -1\/3, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 4\/3, 62?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1537*y + 663?\nAnswer: -1537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30972059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from xxqmmaxqx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189043\/9 - -21005. Is 3\/191 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:01 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2699446 is divided by 241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:04 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2640 and 10272.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 443621459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3884 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1455 + 2774443?\nAnswer: 2772766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.672*-0.1.\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/9 + 6212*i**2\/3 - 5320370*i + 20261622232\/9 = 0 for i.\nAnswer: 524, 4397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 136107, -0.1, 0.049, -2 in descending order.\nAnswer: 136107, 10, 0.049, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89622146*y - 61616073?\nAnswer: 89622146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 108 = 2*n, 111 = 3*w + 6*n - 5*n. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2463 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(300)\/(1*sqrt(10)))\/(sqrt(18)\/sqrt(3)*-3) - ((-2 + sqrt(80)*1)**2 - (-2 + -2*sqrt(5) + sqrt(5) - (sqrt(5) + -2*sqrt(320)))).\nAnswer: -87 + 89*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 515, 772, 1029, 1286?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -450, -636, -794, -924?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, -973, -1433, -1893, -2353, -2813?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3*o + 4. List the prime factors of r(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378655419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/4 + 1 - -1. Let t be 1\/2*80\/8. Let h be (t\/(-4))\/((-7)\/84). Solve -13 = -4*a + 5*v, -u*v - h = -5*a - 0*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let y(q) be the third derivative of q**4\/12 + 101*q**3\/6 - 60*q**2 + 2. Determine y(d(l)).\nAnswer: -4*l + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848746?\nAnswer: 2, 11, 174943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.244 + 0.156. Are 3 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*o**3 + 58*o**2*z**2 - o**2 + 129*o*z + 3*o - z**2 + 12 wrt o.\nAnswer: 36*o + 116*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -2) + (2 - (9 - 7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*c**(3\/2))\/(c**(-1\/6)*c**1*c)*(c**(-1))**(-34)*c*(c\/(c*c**0))\/c*c\/((c*c**(-6))\/c) assuming c is positive.\nAnswer: c**(247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3667474 hours to days.\nAnswer: 0.098614475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 + 0.6. Let j = s + 0.37. Let f = -383\/7 + 55. Which is the second smallest value? (a) f (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/30 and 71\/722609655.\nAnswer: 1445219310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235845658 divided by -6936637?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from kffkfkfkcffkkuf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = -37512239*s + 37512235*s + 292, -4*t + 149 = 5*s for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1556.9.\nAnswer: -3113.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q**3 - 4*q**2 + 6*q - 3. Give h(2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 151*2\/4*-14. Let a = 2044 + t. Suppose 4*m - m = a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) 0.2 (c) -261 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.2 - -5.3. What is the second biggest value in 1\/7, -3, g, 3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-350)\/(-210))\/(15\/27)*1\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.99 + 16.29. Let s = v + -15. Are s and 0.06 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 6 (c) 0.711 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n + n - n. Let f(k) = 4*k**2. Calculate i(f(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 3844.\nAnswer: -13\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 82, 268, 632, 1234, 2134, 3392, 5068?\nAnswer: 7222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g - 7. Let h(k) = 13*k + 6. Let x(o) = 6*h(o) + 5*j(o). Let w be x(11). What is the greatest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249855 is divided by 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(8\/3)\/y**(-7\/5) assuming y is positive.\nAnswer: y**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 = -i - 44, -3*i = 6. Let b(n) be the first derivative of -n**3\/3 - 2*n**2 + 2*n + 1. Calculate b(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*24\/(-42) - 8 - -973.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*b - 2*b + h, b - 11 = -3*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 96. Let j(i) = i. What is -f(w) - 3*j(w)?\nAnswer: -2*w + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -354, -714, -1088, -1482, -1902?\n\"Answer: -z**3 - z**2 - 350*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713.833ml in litres?\nAnswer: 5.713833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 5\/(-1))*3. Suppose -3*y = -4*y + 33. What is the units digit of y*(-6)\/k*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42108020*m**3 + 2231536430*m**2 - 39988715*m\/4 + 44785\/4 = 0.\nAnswer: -53, 13\/5804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {u: 2, q: 2, v: 5, e: 2, l: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-126)*7\/30)\/(14\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11ea + -109?\nAnswer: 10e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38006 is divided by 1725?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -26, -58, -124, -236?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - 3*c**3 - c**3)*(3*c**2 - 2*c**2 + 0*c**2) - 12*c**5 + 34*c**5 - c**5.\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3 and ((-2)\/18*2)\/((-16)\/(-39))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 11*p**5\/60 - p**4\/4 + 46*p**3\/3 + 67*p**2 - 2. What is the tens digit of j(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -4. Suppose -16 = -0*o - 5*o - 3*s, -5*o = -2*s - w. Solve o*u = -0*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 7*c)*(-1 + 4 - 1) + 2 - 2 - 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 150899, 150906, 150913, 150920, 150927?\n\"Answer: 7*g + 150892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119030869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 141 - 151 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 267331 + -0.014\nAnswer: 267330.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1715052*j**3 + 284595*j**2?\nAnswer: -10290312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 68 - 247 = 0. Suppose 5*j + 5*x - m = 0, 3*j - 3*x - 3 = 6. What is the common denominator of j\/2 - 2 - (-85)\/(-4) and -77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3001.5 - 3001.28863. What is l rounded to 3 dps?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353636363 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 u(p) = 3*p**2 - 10*p - 8. Let b be u(-7). What is the greatest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:27 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855663531.\nAnswer: 25747, 72073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104599230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-1\/39)\/(o**(-1\/4)*o*o)**(9\/4) assuming o is positive.\nAnswer: o**(-2441\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 26. Let g be w(-14). Suppose 21 = 5*y - 9. What is the least common multiple of (-1)\/(-3) + 16\/g*-8 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 - 1260161*p\/3 - 1260160\/3 = 0 for p.\nAnswer: -1260160, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -m - 45. Put m, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11063 and 3549.\nAnswer: 3020199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3248 + 3384. Calculate the greatest common divisor of s and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13714 * 0.2\nAnswer: -2742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**2\/2 + l + 866. Let g(k) = -3*k - 1. Calculate -6*g(i) - 7*r(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203\/5 + 41. Let f be (-16)\/24 + 2\/21. Suppose w = 2*s - 13, 2*s - 12 - 13 = 5*w. What is the second smallest value in f, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183872884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15992.2 - 14816.81. Let a = l - 1196. Round a to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 p when three letters picked without replacement from zpwpopz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -136360, -136274, -136188, -136102, -136016?\n\"Answer: 86*u - 136446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*u - 6335*u - 6337*u + 364*u.\nAnswer: -12829*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s - s)*(-8*s + 16*s**3 + 7*s**3 + 2 - 22*s**3).\nAnswer: -6*s**4 + 48*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2091750, 4183502, 6275254, 8367006, 10458758?\nAnswer: 12550510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 16*t + 8. Suppose 5*u - 45 = -5. Solve k + t = 2*n, 3*n = k + k + u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Put -4, 2, h in descending order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - 3*r**3 - 3*r**3 + 9*r**3 + 3.\nAnswer: -3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 76791042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31513147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from tttttttftfttfttfttt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*a + 2*a + 35 = 0, 3*a = 4*o - 1. Let w be (-10)\/(-5) + (2 - 0). Calculate the highest common divisor of o and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(90)\/(sqrt(10)*2) - (-2*sqrt(90))\/sqrt(10))\/((sqrt(108) + ((-2*sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)))*3 - sqrt(108)).\nAnswer: -4 - 5*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10100101001?\nAnswer: 10100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**3 - 2*l + 5. Let d(s) = 4*s**3 + s - 3. Suppose 3*p + 38 = 68. Suppose p*a + 55 = -a. Give a*d(z) - 3*i(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469522 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -81*u**2 + 14*u + 24. Calculate a(-3).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*d + 488*d + 498*d + 486*d - 2381*d + 489*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40463550 divided by 2.\nAnswer: 20231775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27282314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeedepdecdcedpplcpe. What is prob of picking 3 c?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2 + 2*x + 1. Let h be l(-1). Let o be h\/28 - 144\/14. Let w = 65 + o. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = s + 12, -4 = -2*j - 0*j + s. Suppose 0 = -3*x + 9, 0 = 4*m - 0*x + x - 139. What is the remainder when 1\/(-2) - ((-675)\/10 + j) is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046386452 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-8)*(3 - -7). Let z = f - 20. Calculate the lowest common multiple of 0 - (8\/4 - z) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3*((-2)\/6 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 40*u - 305. Give f(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/12*815\/(-100). Let d = m - -26\/3. Is 2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-37)\/(-1) + (-2 - (-4 - -6)). Solve -5*f = 8 - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 91220 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*j - 548 - 82 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 657727433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:28 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25308154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18082 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o - 682. Let k(h) = 4*h - 227. Give 4*i(y) - 11*k(y).\nAnswer: 8*y - 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3 + 5675*b**2 - 1022620*b - 1028300 = 0.\nAnswer: -1, 226, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*s + 239, -3*w - 251 = -5*s + 168. Solve 6*x = -s + 61 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 3*k**2 + 10*k**2 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2 - 2 - 4*s**2)*(-2 - 2 + 3).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(11) + sqrt(2112)\/sqrt(3))*-1 - (sqrt(77) + 5*1*sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(7)))**2 + -1.\nAnswer: 96*sqrt(11) + 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 + 11*h - 9. Suppose -7 = p - 3*g + 21, 4*p - 5*g + 105 = 0. Let q = -18 - p. Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83990, 83988, 83986, 83984?\nAnswer: 83982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-13 + 25*b + 13 - 5*b + b + 3*b + (-3*b + 2*b - 2*b)*(0 - 3 + 5)) - 1 + 1 - 2*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 6830649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -39347451 divided by 7821\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1014 in 1\/3, 1, -0.3, -11, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - v - 44, 2*a - 694*v + 40 = -690*v for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(56*(-550)\/(-12320)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2481067*h**2 - 10*h - 34890?\nAnswer: 4962134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4284 is divided by 2114?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 1\/30*y**6 + 1\/20*y**5 - 5\/6*y**3 - 1\/4*y**4 - y**2 + 0 - 12*y. Suppose u(f) = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 0.5 (c) 3\/745 (d) -0.052 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7162\/5 + 50124\/35. What is the second biggest value in z, 1\/4, 1\/153, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*i - 230921 + 230633 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 662 (b) 17.9 (c) -1\/9 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 11*y + 36. Suppose 5*p - y*x = -11*x + 25, 2*p + 3*x = 15. Solve 2*a - 8 + 0 = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w, 0 = -2*k + 4*w + 640. Calculate the least common multiple of k and 2.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5244 is divided by 1806?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 521, -9, -2 in descending order.\nAnswer: 521, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 26. Let h be 36\/18*(n - 0). Factor -2\/9 + 2\/9*l**h + 0*l.\nAnswer: 2*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**40*(h\/((h**(2\/3)\/h)\/h*h))\/(h*h**(-2)*h))\/(((h**(-5)\/h)\/h)\/(h*h*h**(-4)*h)*(h**0\/h)**(-1\/7)) assuming h is positive.\nAnswer: h**(237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*q - 596*q + 38 = 2*h, -2*q = -7*h + h + 16 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6044)\/28 + 4\/(-28). List the prime factors of (-180)\/l - (-3367)\/6.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 76.9?\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38069 times 0.4936\nAnswer: -18790.8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 21*k**2 + 37*k + 18. Let b be v(19). Let n = -1 - -5. Let l be (b\/(-4)*-4)\/((-2)\/n). Solve f + f = l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0585 times 0.59?\nAnswer: 0.034515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + (sqrt(76) - sqrt(19)) + -3 + (sqrt(19) - (-2 + sqrt(19))))**2 + 1*(sqrt(19) + 0 + -5).\nAnswer: sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/2520 - 5*q**4\/12 + 26*q**2. Let b(w) be the second derivative of f(w). Let v(k) = 3 - 3 + 2*k**2. Give v(b(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 906780 and 1016?\nAnswer: 1813560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a + 29*a - 4*a + 13*a + 5*a. Let f(k) = k + 2. Let p be f(0). Let z(j) = -3*j**2 + j**2 + j**p. Calculate z(d(g)).\nAnswer: -2916*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1049*u**3 - 362*u**3 + 445*u**3.\nAnswer: 1132*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5433078 or 5433178?\nAnswer: 5433078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -191, -0.2, -3, 1\/9, -1\/4?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 + 5235343?\nAnswer: 5235241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3)\/(6\/9). Let n(m) = -m. Let r be n(-3). Let k be 11 - r\/((-3)\/(-2)). What is the greatest common factor of s and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/4 + 236918\/88?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 1. Let y(u) be the second derivative of -2*u**3 + 3*u**2\/2 - 11*u + 2. Let p(f) = 2*k(f) + 3*y(f). Let r(q) = q - 1. What is -p(n) - 6*r(n)?\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 12, 14, 12, 6, -4, -18?\n\"Answer: -2*v**2 + 12*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-4))\/((594\/1539)\/11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13698060 - 10*g + 13698060.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-8153619\nAnswer: 2446085.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-5 + 3 + 3)*(-2*k - 1 + 1)*(41 - 41 - k**2).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoo when three letters picked without replacement from {s: 6, w: 2, o: 2, u: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Suppose v = -1 - j. Calculate the remainder when -5*(1 - 4) - v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5329, -4074, -2819, -1564?\n\"Answer: 1255*h - 6584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 - n**4\/2 - n**3\/6 - n**2 + 2*n - 359. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 42405\/1035 + (-110)\/(-3795)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -1916335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6230, 3, -1, -22 in decreasing order.\nAnswer: 6230, 3, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(1872))**2 + sqrt(1872) + -3.\nAnswer: 12*sqrt(13) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-3) + ((-7)\/(-9))\/(7\/6). Let b(m) be the third derivative of 1\/6*m**n + 0 - 1\/24*m**4 - 23*m**2 + 0*m + 1\/10*m**5 + 1\/120*m**6. What is b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149394 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -8, 15 in decreasing order.\nAnswer: 15, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1039078.4 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120, -124, -128, -132, -136?\n\"Answer: -4*q - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(7) + 1)*-6)**2 + 5*((sqrt(14) - sqrt(14)*-2)\/sqrt(2) + -5).\nAnswer: -129*sqrt(7) + 1019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214476800 rounded to the nearest one million?\nAnswer: 1214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-32) - 126\/224.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18602*y + 93049. Give n(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1717 + -722. List the prime factors of z.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z - z + 5*n, -4*n = 4. Let f be (z\/1)\/(1\/5). Solve 0 = -f*u - 9 - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/6 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29255b - b?\nAnswer: -292569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i - 2. Let w(k) = 42*k**2 + 20*k + 12. Let b(u) = -6*q(u) - w(u). What is the second derivative of b(d) wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 11. Let m be k(9). Suppose m + 0*y**2 + 8*y**2 + 3*y - 7*y - 6*y**2 = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - (49 + -35)) + 7 + 0 - 8) + -40.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - 14*f**2*n**3 - f*n**3 + 45*f - 2*n wrt f?\nAnswer: 40*f**3 - 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408847 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4085.006 rounded to the nearest 10?\nAnswer: -4090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 39*d**2 + 821*d + 1620. Calculate u(-21).\nAnswer: 1578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13146, -13204, -13262, -13320?\n\"Answer: -58*b - 13088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 11*p + 9. Let g be m(4). Suppose 0 = y - 3 + 7. Sort y, 3\/2, g in decreasing order.\nAnswer: 3\/2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/14)\/((-10)\/350). Let v = r + -7. Suppose -14 - 75 = -2*p + 5*f, -155 = -5*p - f. Calculate the least common multiple of p and v.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(2\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 234*s. Let v(z) = -15*z. What is v(g(i))?\nAnswer: -3510*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -r - 206. Let a = -0.3 + 0.2. Let z be -3 + ((-12)\/2)\/(-3). What is the closest to r in 3\/5, a, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 24183\nAnswer: 9673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100502 + 2111?\nAnswer: 103013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 1)*-1 + 6. Let q be -925*j*5\/(-25). Round q to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 429 - -5?\nAnswer: 42e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/7408 and 133\/96.\nAnswer: 44448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 + 584*m**2 - 584*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327528990.\nAnswer: 2, 5, 193, 1187, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixooxiixixx. Give prob of sequence ixx.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5246680, 5246682, 5246684, 5246686, 5246688?\nAnswer: 5246690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 23\/3 (c) 1\/5 (d) -0.208 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1489.3 times -4\nAnswer: -5957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-5)*(-29)\/(74704\/230).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899*c - 894*c = 30. Let d = -1 - -2. What is the nearest to d in 0.2, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/648 and -35\/1752.\nAnswer: 47304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/38880 and 151\/504?\nAnswer: 272160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:04 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 106 and -107.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825353737 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g)*(-3*g - 2*g + 2*g) - 2*g**2 + 2*g**2 - g**2 - 2*g + g**2 + 0*g**2 - 3*g**2 + 16*g**2 + 29*g**2 - 7*g**2.\nAnswer: 32*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.042 - -0.042. Which is the closest to j? (a) 2\/7 (b) 1\/9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 12 + 246 = 0. Calculate the common denominator of (0 - 0) + 154\/(-20) and -158*4\/(-72)*(-27)\/p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119112 at least as big as 1119123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103262 + 722831\/7. Let r = 4.3 - 0.3. What is the nearest to 3\/2 in s, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 5, 1.05?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, -1\/3, -1, 0.0317, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3470, 3788, 4326, 5084, 6062, 7260, 8678?\nAnswer: 10316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.34532 to 2 decimal places.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1079140\/2443 - -553\/349. Let c = -110503\/252 - q. Calculate the common denominator of -5\/27 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*d + 5*h + 503, -961 = -2*d - 5*h. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 - -12?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -17*q + 106. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15440)\/(-5404)*(7 - 0)*(-1)\/6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - 2*q + 4*q)*(-70*q + 34*q - 30*q) to the form u + o*q**2 + j*q and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 6529, 9504, 12479, 15454, 18429?\nAnswer: 21404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16 = -r, 0 = 5*l - 5*r + 5. Solve 0 = -3*n - 5*i, 0 = l*n - 2*i - 0 + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2640\/(-198))\/(8\/(-12)). Solve 43 = -9*j - y for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(343) + -3*-1*sqrt(343) + sqrt(343) - sqrt(343))**2*1 - (-3 + (-4*(2*sqrt(343) + -5))**2)).\nAnswer: -4480*sqrt(7) + 66650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**3 + 4*n**3 - 13*n**3)*(-2 + 2 - 3*n) in the form w*n**4 + j*n**3 + h*n**2 + d*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407 is divided by 2194.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/((-38)\/(-190))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-39))\/(2101\/54626).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*g + 1479 = -1359, 5*g - 10 = 0. Let i = l + -506. Let n = 288 - i. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -da074?\nAnswer: da068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*g - 12, 3*j = -g + 2 - 3. Suppose -21 = -g*c + 74. Let q = 2 - -8. What is the remainder when c is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:52 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -35*c**2 - 12. Let v(q) = 17*q**2 + 6. Determine -6*u(o) - 13*v(o).\nAnswer: -11*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161081145*i + 3*i**3 + 5*i**3 + 161081145*i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -5*a - 63 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 + 129*i**3\/2 - 1559*i**2\/6 + 651*i\/2 - 391\/3.\nAnswer: (i - 2)*(i - 1)**2*(i + 391)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfqqllqlflwslqllflfw. What is prob of sequence wlls?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 3*w**2 + 3*w. Let s(y) = -y**3 + 2*y**2 - 2*y. Let o = -50 + 53. Give o*s(r) + 2*a(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27832.4336965 - 27784.532. Let k = -0.1074035 - b. Let x = -48 - k. What is x rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 + -5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v + 3. Suppose z + 0*z = 0. Let m = z - -3. Solve 3*i + m = 0, -2*g + 0*g + 1 = -v*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221298?\nAnswer: 2, 3, 7, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5021, 10018, 15015, 20012, 25009, 30006?\nAnswer: 35003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/5 (c) 6 (d) 0.4 (e) 16 (f) -9 (g) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 5. Let x be y(6). Let i(d) = d**3 - 4*d**2 - 2*d - 11. Calculate the remainder when i(5) is divided by 3\/x + 3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h + 3*h**2 + 0*h - 5*h**2 + 4*h + 3*h**2. Let u(q) = q**3 - 4*q**2 + q + 1. Let t be u(4). Calculate the remainder when p(t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, g: 2, j: 2}. What is prob of picking 2 j and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44726.\nAnswer: 2, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -173074.78 rounded to the nearest one thousand?\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-21)*f*f**(7\/2) assuming f is positive.\nAnswer: f**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**5 - y**4 - y**3 - y + 1. Let j(t) = -4*t**5 + 6*t**4 - 5*t**3 - 3*t + 3. Let n(a) = -3*d(a) + j(a). Factor n(m).\nAnswer: -m**3*(m - 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -132. Suppose -n + v = 0, -r = -0*r - 2*n - 1. Suppose 4697739 + 2852261 = r*g. What is g rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2844*k**2 + 8*k**3 - 2844*k**2 - 12*k**3 + 12*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**5 - 3*y**3 + y**2 + 3*y wrt y?\nAnswer: 180*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69197 is divided by 188.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-2)\/(-8)). Let s(i) = 4*i**2 - 5*i - 3. Let x be s(q). Suppose -3*d + 156 = -x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -25906*v. Let r(o) = -2*o**2. Give w(r(p)).\nAnswer: 51812*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 9*b + 10. Let h be o(-6). Suppose 5*c - 63 + h = 0. Let i = 2 + 5. Is i less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/37668 and -37\/942880.\nAnswer: 8879100960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/47)\/m)\/(m*m**(-1\/6)) assuming m is positive.\nAnswer: m**(-505\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1693075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 43 = -5*i, -2*j + 10 = -4*i - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from wxswcxxlxwtwwxwl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -5*u**4\/12 - 105*u**3 - 625*u**2\/2 + 3*u + 1399. Determine n, given that s(n) = 0.\nAnswer: -125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 6. Let v(k) = -59*k**2 + 12*k - 19. Let h(n) = n - 25. Let r(j) = -2*h(j) + v(j). Let i be r(d). What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001755986 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/3 - 14*q\/3 - 49 = 0. Calculate q.\nAnswer: -7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66)*-2)\/sqrt(2))\/(-1*(sqrt(12) - sqrt(192))\/sqrt(4)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6138929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnv when four letters picked without replacement from {n: 3, v: 9, o: 4}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = 0, 2*k + 1457 = -3*y + 1483 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*r = 340, -4*r - 820 = -5*d - 8*r. Suppose -f = -5*f - d. Let u be (-2)\/4 + (-36)\/f. What is the second biggest value in 1\/4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -17*u**4\/12 - u**3\/3 + 4*u**2. Let r be p(-7). Suppose 5*y - r = h - 3*h, -5*y + h = -227. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 63. Let u = 34 + x. Suppose 3*m + 381 = 3*o, 395 = 3*o + u*m - m. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 3*t - 2, 0 = -q + 4*t - 9. Factor 3*l**4 - 77*l**2 + 137*l**2 - 18*l**q - 81*l**2.\nAnswer: 3*l**2*(l - 7)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -458436*n - 50267 wrt n?\nAnswer: -458436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12408\/49909 + 110814438393\/648817. Let s = -171005 + c. Let a = -210 - s. What is the third smallest value in a, -4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(135)\/(3*1*sqrt(3)))\/(sqrt(1089)*1 + -6*sqrt(27)\/sqrt(3)).\nAnswer: -2 + sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 1. Let v(f) = -51*f**3 - 180*f**2 + 5. Let m(r) = 4*v(r) - 20*z(r). What is the third derivative of m(c) wrt c?\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -28*u - 252. Let v(d) = -2*d**2. What is v(a(p))?\nAnswer: -1568*p**2 - 28224*p - 127008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 539*n = 540*n - 13, 0 = 2*b - 3*n + 32 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3716 + -1640. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1075 - -1070. Let d(l) = -6*l**3 - 5*l**2 - 5. Let o(z) = 8*z**3 + 13*z**3 + 21*z**3 + 36 + 10*z**2 + 26*z**2. Determine p*o(k) - 36*d(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/21)\/(176\/(-96)). Let g = -542\/5 + 109. Which is the fourth smallest value? (a) -0.2 (b) -0.11 (c) g (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - 18) + -129 + 170.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**4 + 2*w**4 - 5*w**4)*(2 - 2 - w) + w**5 - 4*w**2 + 4*w**2 + w**4 - 50*w + 48*w + 3*w**5 + 3*w**5.\nAnswer: 5*w**5 + w**4 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 10. Let c be n(-7). Let u = 3 - c. Suppose 78 - u = 2*o. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702260353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7544211 is divided by 580318.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**9\/3024 - r**5\/120 - r**4\/12 - 4*r**2. Let t(j) be the second derivative of s(j). Differentiate t(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433716617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 16*z**2 + 24*z - 56. Let n = 9527 - 9541. Give p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-14)\/(-3). Suppose 5*d - 31 = -47*j + 48*j, 5*j + 92 = 4*d. Solve -4*v = 4*y + 1 - 5, 0 = -d*v + s*y - 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101001100100000110 + -10?\nAnswer: -111101001100100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 + 599. What is the common denominator of (-2)\/(1 + x\/(-388)) and 364\/(-2002) - (-388)\/561?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6397020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpt when three letters picked without replacement from {r: 1, v: 1, p: 2, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163 and 91769.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 19 - 3)*(43 - 43 + 231*p)*(1 + 1 + 0).\nAnswer: 7854*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-3)\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 6*h + 5. What is b(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 1466244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217 is divided by 166?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let l be 0 - (-4 + 16\/2). Let a be (l\/6)\/((-3)\/9). Let i(o) = 3 - 1 - 4 - 1 - 4*o. Determine a*i(f) - 7*j(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29100*l. Let u(n) = -166*n. Calculate o(u(w)).\nAnswer: 4830600*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let j = -1 + n. Let b(l) = -l + 18. What is the least common multiple of b(0) and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:05 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18062 divided by -11?\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 14*t**2 - 20*t + 76. What is y(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 943, 1794, 2645, 3496, 4347?\nAnswer: 5198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 29. Suppose -3*s - 2*s = -3*k - 76, 0 = -5*s + 5*k + n. Calculate the remainder when 31 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -51 + 341. Let u be 4\/18 - y\/(-495). Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-2) - -7)\/(1\/(-12)). Let o = 18 + k. Calculate the least common multiple of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3747598981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*sqrt(245)*1.\nAnswer: 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 448 + -178. Let d = a - 268. What is the biggest value in -525, 5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-28))\/(43\/((-15652)\/(-40)))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/10 + 9397278*d\/5 + 18794557\/10 = 0. Calculate d.\nAnswer: -1, 18794557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4\/3 - 60118*q**3\/3 - 690802*q**2\/3 + 130164*q + 120144 = 0. Calculate q.\nAnswer: -15018, -12, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 25*j**2 - j - 1. What is the tens digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73.7 and 3.315.\nAnswer: -70.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let u(d) = 12*d**3 + d**z - 3*d**3 - 4*d**3. Let f be u(-1). Is -11\/4 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 43, 71, 99?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/6 and (-9)\/30*-3*30\/(-104).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(5*j - 5*j - 3*j)*(-2*j**4 + 0*j**3 + 0*j**3).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -276 (base 8) to base 16\nAnswer: -be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 449*y**2\/2 + 14*y + 1. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Let o(h) = 3*h**2. Let r be o(1). Suppose 3*n - 7 = -2*t, r*n - 3*t - 9 = n. Solve -c*a = 2*b + a + 9, -a = 3*b + n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 288\/(-40) + 314\/1770. Let x = -146\/1239 - v. Let t be 6\/11 + 1 + -1. Sort x, t, -0.4.\nAnswer: -0.4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 20. Is 2\/(-2)*-129 - s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27904 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(171)*-3)**2 - sqrt(171)).\nAnswer: -3*sqrt(19) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2532743 by -1.\nAnswer: -2532743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: b\"What is the pth term of -12396, -24782, -37180, -49596, -62036?\n\"Answer: -p**3 - 12379*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16191 or 16190?\nAnswer: 16191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2187 - -2753. What are the prime factors of h?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.2 (b) -3 (c) -43\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 9*j**7\/7 - 14*j**5 + 41*j**3\/3 - 10*j + 1202. What is the third derivative of a(h) wrt h?\nAnswer: 1080*h**3 - 1680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9927*b**2*h*s**3 - 17237*b**2*s**3 + 2*b*h*s**3 - b*h - 3*b*s**2 + 1074*b*s - b + 4*h*s**3 - 14*s**2 wrt b?\nAnswer: -19854*h*s**3 - 34474*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c**2 + 14*c**2 - 15*c + 13*c - 5*c**3 to m*c + k*c**3 + h*c**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -231 + 51*w**3 + 2*w**2 - 4*w**2 - 2374*w**5 + 2375*w**5 wrt w?\nAnswer: 60*w**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0)\/((-6)\/66). Let u = z + 122. Let p = -663\/5 + u. Is 0 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7673959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22629.\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21200032010 (base 4) to base 14\nAnswer: 48bc7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 129460718234.\nAnswer: -129460718234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b - 2. Let x be h(0). Let j be (-508)\/(-127) - (1 + x - 1). What is the greatest common divisor of j and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times -89\nAnswer: -11.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.0702644ms to hours.\nAnswer: 0.000001130629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 307\nAnswer: -78\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/7)*f)**(-2\/27)*(f\/(f*f\/(f*f\/f**(1\/3)*f)))**(-10\/7))\/(f**(-2\/5)\/(f**(-8)*f))**(-29) assuming f is positive.\nAnswer: f**(178463\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 1, z: 1, c: 1, w: 1}. Give prob of sequence uwc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*u**2 - 5*u + 393*u**2 + 688*u**2 + 5*u to h*u**2 + j*u + p and give h.\nAnswer: 1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*c*o**5 + 3*c*o**4 - c*o - o**5 + 162*o**2 wrt o?\nAnswer: 1200*c*o**2 + 72*c*o - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.8. Let z be (-5937)\/45 - (-8)\/(-20). Let y = z + 131. Which is the second biggest value? (a) f (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -127 and -0.4.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -635 and 1?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 14 = f + 4*d, 5*f = -5*d + 10. What is the smallest common multiple of (-1 + 0)*f - 0 and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34472 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 526 + 361. What is the least common multiple of c and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 1, -2.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1.1. Let n = i - -20.4. Let x = -19.5 + n. Which is the second smallest value? (a) 0 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, 92, -2 in increasing order.\nAnswer: -4, -2, 12, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(1551*t**4 + 298582*t**3 - 298582*t**3 + 2*t) to the form u*t**2 + s*t**3 + p + f*t**4 + c*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - -7 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 105\/126 - (-21)\/18. Suppose 6 + 0 = 2*b. Suppose 1 + 14 = b*f. Solve -z + 0*z - t = -s, -f*s - 2*z = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164466 by -9137.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + (-195)\/(-27). Let g = z + 3. Calculate the remainder when 18 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 3, u: 4, e: 2}. What is prob of sequence ou?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1644*a**5*v + 2*a**5 + 7*a**2 - 40*a*v wrt a.\nAnswer: 98640*a**2*v + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.881591 rounded to one dp?\nAnswer: 433.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**3 + 6*y**3 - 6*y**3)*(-22*y - 52*y + 101*y + 0 + y + 0 + (-2 + 2 - 2)*(0*y - y - y) - 2*y + 0 + 0 + y - 3 + 3).\nAnswer: 217*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1030105, 1030097, 1030089, 1030087, 1030097, 1030125?\n\"Answer: q**3 - 6*q**2 + 3*q + 1030107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755027.\nAnswer: 3, 47, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 170155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + j - 11546 = 0, 2*b = -4*j + 8324 - 610. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 99296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149\/2 + 293\/4. Let t(s) = -s**2 + 7*s + 15. Suppose -13 = 6*b - 1. Let l be t(b). What is the nearest to -3 in h, 3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) -2\/7 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131651.2 rounded to the nearest one thousand?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101100100101 (base 2) to base 10.\nAnswer: 19237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013255533044 rounded to seven decimal places?\nAnswer: -0.0132555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -17 - (-2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 991, 1984, 2977, 3970?\n\"Answer: 993*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 11406*q**2 + 508*q - 16*q**5 + 11406*q**2 + 5 wrt q?\nAnswer: -320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1 + 84\/(-87)). What is the third derivative of i*u**2 - 3*u**4 - 30*u**2 + 5*u**4 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*n - 29 = 0, 378*n = -g + 373*n + 3 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -54, 22, -7, 14 in decreasing order.\nAnswer: 22, 14, -7, -49, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 1\/6 (b) -2\/85 (c) -1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 1800 = -37*q - 34*q + 149*q for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/13 + (1160\/(-1300))\/((-3)\/(-5)). Let r be -3 - 0*2\/(-4). Let w = 8 - 4. Which is the biggest value? (a) w (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 + 525*f**3 - 3285*f**2 + 4975*f - 2220 = 0.\nAnswer: -111, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/5*(-6)\/(-10). Suppose 2*s = -4*v + 14, 4*s - v - 16 = -i*v. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**4 - 15364*c**3 - 5*c**2 + 5905331 wrt c.\nAnswer: 44*c**3 - 46092*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 442?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 4*n + 3. Let y be w(7). Let m = y - -19. Let r(k) = 9*k**2 + 4. Let c(o) = 9*o**2 + 5. Let b(t) = -3*c(t) + 4*r(t). Calculate b(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1540.7 - -1534.7. What is the fourth biggest value in -24, 5, 1\/6, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 2244?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -0.4 (c) 206\/9 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yayy when four letters picked without replacement from yagog.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.103 less than or equal to 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 11. What is m(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858412.7 decades to centuries.\nAnswer: 85841.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - (7 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.4102 rounded to 1 dp?\nAnswer: 172.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - -2) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -17 + -6 + -10 + -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*10*(-42)\/315?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) - sqrt(1088)*1)**2) + -1 + sqrt(1088).\nAnswer: -1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -13003021?\nAnswer: 13003010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 - (5 + -2 - 5). Let c(i) = 13*i**3 - 4*i**2 - 5*i. Let k(p) = p**2 + p. Determine o*c(w) + 5*k(w).\nAnswer: 13*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, -0.8, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.5*-0.201.\nAnswer: 2.3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 25184*b + 1803. Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151\/4 - -37. What is the closest to 1 in w, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/((-1)\/12). Let g = p + 25. Solve -v + g*v - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 + 4*l - 7. Let i(g) = -80 - 2*g**3 + 89 - 3*g + 7*g**2 + g**3. Let q be i(7). Let s be q*((-5)\/(-5))\/2. Give x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.02, -2.89, -3, 0.3, -6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 8*p - 3 - p + 10*p**2 + 4 + 9*p in the form t*p + i*p**2 + f*p**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 120*w**2 - 124*w - 362. What is h(-121)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9630*h*u - 368963*h - 7*u**4 - 2 wrt u?\nAnswer: 9630*h - 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80265 - 49021. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:08 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 405899*n + 2841293. Calculate z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**2\/2 + 8*d + 4. Calculate m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -9 (c) -121\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972*d**2 - 5 - 438*d**2 + 1396*d**2.\nAnswer: -14*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 m when four letters picked without replacement from ruummuuzzzm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2143356 - 1189417. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 50 = 7*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.1. Which is bigger: y or -124?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-32) + -6 + (-5)\/(-1). What is the fourth smallest value in 1, -2\/47, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (4 - 2)\/(-2). Let s(v) = v**2 + 2*v - 1. Let y be s(-3). Suppose -3*d = 3*i - 43 + 4, y*i + 14 = q*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:05 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.46 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -21, -61, -127, -225, -361, -541?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*u + 10, -2*b - 3*u = -6 - 14. Suppose -35 = -b*r + 25. What is the third derivative of 275 - 25*o**2 - 275 + 21*o**r wrt o?\nAnswer: 2520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -9. Suppose -x = -5*d + 15 - 59, -3*d - 67 = -2*x. Calculate the remainder when x is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-300)*145 - -6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k. Suppose -3 = -4*c + 37. Let n be (-4)\/3*(-15)\/c. Suppose -2*r + 2*s = -n, 0 = -0*s - s - 4. Let f(y) = 5*y. Calculate r*o(q) + 4*f(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 35*r**3\/2 + r**2\/2 + 4*r. Let k be s(1). Differentiate 9*a**4 - 11 - k*a**3 + 106*a**3 with respect to a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p - 17. Let i be g(-5). Let m(u) be the third derivative of -u**4\/8 - u**3\/6 + 15*u**2. Is m(i) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 7, 5, 296 in decreasing order.\nAnswer: 296, 7, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 6*f. Let i(s) = 3*s**2 + 7*s. Let g(q) = -6*c(q) + 5*i(q). Suppose 0 = -5*o - 3*u - 1, o + 5*u + 8 = -1. What is the units digit of g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 174*s - 1124. What is the remainder when r(10) is divided by 299?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -594 + 599. Let q(a) be the first derivative of 3\/20*a**m + 0*a - 2 + 0*a**2 + 0*a**3 + 3\/16*a**4. Factor q(x).\nAnswer: 3*x**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8426 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 11.96. Let c = 11.999999 + y. Round c to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 8*c - 6. Let l be u(5). Let v(f) = -f**2 - 6*f + 5. Let n be v(-7). Let g = n + l. Solve -g + 2 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*c - 17 = 0, 3*p - 4*c + 27 = 45 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) - (sqrt(7) + 4 + sqrt(567))).\nAnswer: -9*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - (-675)\/(-18)*52\/(-3)?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4118694 divided by -1372898.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676488 and 46008?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*i**2 + 82*i**2 - 294*i + 296*i + i**3 in the form m*i**3 + v + n*i + w*i**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7055983.02 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -35*y**3 - 3*y**2\/2 + 5861*y - 1542. What is the first derivative of k(j) wrt j?\nAnswer: -210*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.6577 + 0.3423. What is the third smallest value in -3, 2\/19, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2660 and 2462894?\nAnswer: 24628940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 12*i + 8. Is a(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/3341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2946644401.\nAnswer: 499, 5905099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 2\/3*w**2 + 14*w = 0. Calculate w.\nAnswer: -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 276*j + 6348.\nAnswer: 3*(j - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srooaaoseebasea. Give prob of sequence rsoa.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 458 - -5?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/729 + (-480)\/(-81) - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4117)\/9666 + (-2)\/27)*(-8)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -46464 divided by 8\nAnswer: -5808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 205043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0008 and 1710550532.\nAnswer: 1710550532.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97780987 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 68571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 372?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*r - 11 = 0, 4*r = -9 - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1619733614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + 0.03. Let q = 0.18 + g. Let i = -3.34 + q. What is the biggest value in i, -2\/7, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2606, -2659, -2720, -2795, -2890, -3011?\n\"Answer: -a**3 + 2*a**2 - 52*a - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148.6 + -153. Let r = 4.2 + h. Which is the biggest value? (a) 1 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v**(-4)\/v)\/v)*v*v))\/v**(-3))**(-10)\/(v*v\/v**(-1\/5)*v\/v**6)**18 assuming v is positive.\nAnswer: v**(502\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 11*q**4\/8 + 5*q**3\/3 - 48*q**2. Differentiate t(b) with respect to b.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 31*a + 327. What is the tens digit of f(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -107, -2 in ascending order.\nAnswer: -107, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -3707?\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 792\/56) + (-1)\/(-7). Let x = 75 + o. What is the remainder when 245 is divided by x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 5*p + 2. Let m be ((-16)\/(-6))\/((-6)\/(-9)). Let n(y) = y + 2. Let r be n(m). Calculate t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -706, -1577, -2798, -4369, -6290?\nAnswer: -8561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:46 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2. Let w be k(0). Let r be 5\/450*9\/(684\/(-16)). Let o = r - -521\/3420. Is o less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18\/11, 0.5, 4, 3, -4\/3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let o(v) be the second derivative of 3*v**4\/8 - 2*v**2 - 10*v. Let t(p) be the first derivative of o(p). What is t(f(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*2*10\/(-16). Suppose m = 3*w + 16, -3*m + 13 = m + t*w. Let i = -3 + 6. Calculate the remainder when m is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.125769 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 87*l - 14895. Give w(171).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*n + 8460, -4*n + 33840 = -4*c - n. Let q be (-8459)\/c + (-2 - -1). Let f = -128309\/8460 + q. Calculate the common denominator of 21\/11 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 + f. Let o(g) = 195 + 183 - 4*g**2 - 378 - 4*g - 17*g**3. What is -4*n(k) - o(k)?\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and ((-5)\/(-4))\/((352\/(-40))\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 12 = 7 + 137 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 121 = -p, p + 3*j = 2*p - 105. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -11 + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -0.37. Let o = 597 - 596. Which is the nearest to 0? (a) s (b) 6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 68*z + 102*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293435 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(325)*-1 + -1 + 0 + -1 + sqrt(325)))**2 + ((sqrt(117) + (sqrt(117) - -2*sqrt(117)*2))\/sqrt(9) + (sqrt(52)*-1)\/sqrt(4) + -1)**2.\nAnswer: -10*sqrt(13) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68c4277 + -5?\nAnswer: 68c4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w + 128 = 0, -2*c + 41 + 44 = w. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 24. What is the closest to h in 1\/4, -1, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + k - 31979 = 0, -231 + 25799 = 4*s - 3*k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935*i - 935*i - 20*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*h + 404*h - 106*h - 103*h - 120*h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)\/(sqrt(4)*-1) - sqrt(33))*5)\/(2*(-1*1*sqrt(3) - sqrt(3))))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 2*k, 0 = -4*c + 12 + 12. Put k, 46, 4 in descending order.\nAnswer: 46, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/14 - 364\/49)\/(-1). Solve -j*v = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4141, 16611, 37411, 66553, 104049, 149911?\nAnswer: 204151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258900 by -10356.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10204622 is divided by 46810.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5357097.9ms?\nAnswer: 1.48808275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92208 (base 12) to base 6.\nAnswer: 4025212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r = -84*r. Let o = 6 - 11. What is the biggest value in o, r, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -14*k**2\/5 - 45387382*k - 64839116\/5 = 0.\nAnswer: -16209779, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -13, -29.\nAnswer: -29, -13, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. Sort 0, -5, u in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:48 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. What is m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 15*b**2 + 6*b - 50. Calculate s(-14).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28b3 + 1db?\nAnswer: -26b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let s(l) = 126*l - 1165*l**2 + 124*l - 250*l. Give x(s(b)).\nAnswer: -4071675*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 (base 9) in base 6?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -3*h + 5*z = -27, r = -4*h - z + 7 + 6. Solve -h*s - 2 = -22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(0 - 4\/3). Let y be (-9)\/24*g\/12. Is -2\/7 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.97 * 5.\nAnswer: -69.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdgdggdvgogbvbbqgog. Give prob of picking 1 b, 2 g, and 1 o.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8425 + 42117\/5. What is the third smallest value in -4, -3, m, 1, 0.8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.5. Let r = -31.154 - -31.264. Sort 3, r, x in decreasing order.\nAnswer: 3, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s - 1\/180*s**5 + 0 + 0*s**3 - 1\/360*s**6 + 2*s**2 + 0*s**4. Determine d, given that p(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 53*p + 81. What is m in 4\/5 - 6\/5*m**4 - 18\/5*m + 4\/5*m**p + 26\/5*m**2 - 2*m**3 = 0?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*k + 64, -533*k + 529*k + 76 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = -2*w + 74, q - 36 = -2*w. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40349400 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - 852?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 167, 686, 1553, 2768, 4331?\n\"Answer: 174*v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnfe when four letters picked without replacement from nnfeenee.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 3*w - 35. Give t(14).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -38*q - 106. Sort 0.3, 2\/19, -0.07, q in descending order.\nAnswer: 0.3, 2\/19, -0.07, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2944067, -23552363, -79489117, -188418557, -368004911?\nAnswer: -635912407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 - 7*b + b**2 + 1 + 6. Let g be x(6). Let r be ((-3)\/(-2))\/(3\/6). Solve g = -r*y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmccym. Give prob of sequence cpc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654 - -1243. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1991*p**5*q + 5*p**2 - p - q + 1 wrt p.\nAnswer: -39820*p**3*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*w + 135 = 0, -3*w = -n + 2*w - 167. Let a = n + 399. Calculate the highest common factor of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*l - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 14263 + 23781 + 446. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7910658 millilitres in litres?\nAnswer: 0.0007910658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 2425 = 2205 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 408?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 3*f**2 + 3. Let v = 2 + -24. Let y(a) be the first derivative of 7*a**4\/4 + 11*a**3\/3 - 11*a + 9. Give v*j(q) - 6*y(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 18. Factor 3*t**5 + 32*t - 8*t + 54*t**3 + r*t**2 + 26*t**4 - 24*t**4 + 19*t**4.\nAnswer: 3*t*(t + 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/5 (c) -3\/14 (d) 0 (e) 31 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8390, 8419, 8448?\n\"Answer: 29*s + 8361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/880 and 117\/550.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4926, 19678, 44260, 78672, 122914, 176986?\n\"Answer: 4915*x**2 + 7*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 1861*i**2 - 1861*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*x - 37*x - 39*x + 18*x.\nAnswer: -99*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 245, 215, 181, 143, 101, 55, 5?\n\"Answer: -2*z**2 - 24*z + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -437*y**2 + 4*y + 3. Let w be i(-1). Let x be (-2)\/(-4) + w\/(-12). Let t = 38 - x. What is the remainder when 1 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146462 is divided by 149.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.011 (c) -2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19019850 and 1150?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -320*r**4 + r**3 - 314 wrt r.\nAnswer: -1280*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64222654 + -3.\nAnswer: 64222651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 37070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let d(h) = -134*h. What is d(p(k))?\nAnswer: 134*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2*(3 - 4). Suppose 3*h = -4*p + 31 - 6, 0 = i*p - 8. Calculate the highest common divisor of h and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237988017 or -1?\nAnswer: -237988017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -1736.\nAnswer: -11\/1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(3*w - w - 4*w) - 5*w + 4*w + 2*w + 0 + 0 - w + 2*w + 1 - 1 - 4*w + 2*w + 5*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26528561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 - 1 = 0. Let l be ((-3 + 3)*(2 - 1))\/b. Suppose -4*c + 4 = x, 0 = 2*x - l*c - c - 26. Put -4, -1, x in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -187, -436, -789, -1246?\n\"Answer: -52*s**2 + 11*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -605 + 893. Let t = -576476 + 576692. Calculate the highest common divisor of o and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-299))\/(-4*6*(-50)\/(-780))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 2*p)*(4 - 1 - 2 + (-1 + 0 - 1)*(-14 + 2 - 2)).\nAnswer: -58*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/70455 and 30\/1787849.\nAnswer: 294995085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133603 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -104370 less than -104366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(72)\/sqrt(3))*-4 + (2*sqrt(600) - sqrt(600)))*2)\/((2*(2*sqrt(288) + sqrt(288)) + sqrt(288))*5).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 58\/5. Let v(q) = q + 2. Let c(f) = 6*f + 15. Let b(w) = 2*c(w) - 15*v(w). Let p be b(-1). Calculate the highest common factor of p and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.2, 0.39, -540, 0.1, -2\/11?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 3*h - 64. Let y be w(7). What is the greatest common factor of y and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10 - 26*y + 3 - 4. Let t = -88 - -83. Is p(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5)*3*-5. Let y(n) = n. Let m(x) = 3*x. Let d(w) = m(w) - 4*y(w). Let h be d(-1). Sort h, b, 0 in descending order.\nAnswer: b, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 761080092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 3*m**3 - m**2 + 11*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293.513 + 0.987. Let q = 294 - x. What is the third smallest value in 4, q, -11, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/556 and -89\/20.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -6, -0.35 in descending order.\nAnswer: 3, 0, -0.35, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {l: 3, y: 13, i: 3}.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 - 309. Does k = 1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1403 + 100?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-14)*q))\/q)**(-1\/2) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*u - 1 = 5*u, 0 = 2*s + u + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -229.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + 0)**2*-2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 47, 59, 67, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 1. Let a(g) = 30*g**2 - 2*g - 2. Determine a(q) + 2*d(q).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 250*x - 2242 = -238*x - 461*x, 122 = -m + 5*x + 100 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 24726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-24)*(1 - -15). Suppose -i*d - 11 = -4*j - 47, -2*j - 20 = -3*d. List the prime factors of (2 + 5)*j*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 78*t + 568 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -259. Let a = -111.7 - l. Round a to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21. Let g(s) = -9*s**4 - 4*s**3 + 13*s**2 + 5*s + 5. Let b(w) = -w**4 + w**2 + w + 1. Let f(r) = x*g(r) - 5*b(r). Find y, given that f(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 9, -y + 14 = 3*y + 2*v. Suppose -c = 2*n - 7, n - 25 = y*c - 9. Suppose 2 - 86 = -n*d. What is the highest common factor of 126 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**5\/90 - f**4\/2 - 9*f**3 - 81*f**2 - 55*f - 8. Let n(d) be the first derivative of w(d). Find g such that n(g) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19 = -r + 7, -2*r = 4*z + 6. Let g be 1*(1 + -1 + r). Suppose 0 = -0*y + y - g. Solve 0 = -3*v - 4*x, y*v = -v - 2*x + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71316?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131313311 (base 4) to base 12.\nAnswer: 5a985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/15*15\/6. Suppose -3*p = -w*p - 24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -80061*w - 1200881. What is i(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 42 = -8*s. Let n be (-8)\/14 - (-6)\/s. What is the biggest value in n, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.81 and 146015.\nAnswer: 145990.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969053 is divided by 1969049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*n + 36, 2*q - 45 = 5*n - 0*q. Let u be (n\/(-1))\/3 - -9. Solve 4*r - u = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, t: 5}. Give prob of picking 1 t and 1 i.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h + 7*h + 36*h + 28*h to p*h + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10266.59 rounded to the nearest 100?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/4 + 12*m + 5.\nAnswer: -(m - 10)*(5*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:08 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 548639380 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 949805 or 949617?\nAnswer: 949805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -4*o. What is the remainder when 33 is divided by (18\/5)\/(o\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 209?\nAnswer: -9\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**5\/30 - 5*g**4\/8 - g**3\/6 + 9*g. Let h(y) be the second derivative of l(y). Let i(w) = 2*w - 7. What is -4*h(b) + 9*i(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p + 4. Let b(v) = -v + 9. Let i be b(6). Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169\/4 + -40. Determine q, given that -k*q**4 + 0*q + 0 - 3*q**3 - q**2 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 7:05 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/8 - 12037*j\/4 - 2393127\/8.\nAnswer: (j - 24173)*(j + 99)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*o - 631*o = -208. Suppose 2*t - 62 = -2*k, 0*k = -5*t - 4*k + 156. What is the greatest common divisor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 330 - 338. Solve -3 = 5*d + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60578642 + 60653279.9985. Let s = p + -74657. Let q = s - -19. What is q rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 18*i**2 + 19*i - 8. Suppose j - 29 = -0*g - 5*g, -4*g + j = -25. What is the lowest common multiple of k(-10) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157 or 156?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.54112 litres in millilitres?\nAnswer: 2541.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**2*x**2 - 3*q**2*x + 2*q**2 - 14*q*x + 564*x**2 wrt x?\nAnswer: -2*q**2 + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 41433?\nAnswer: 41444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*y + 25 = -38, 3*l = 2*y + 48. Suppose 14 = 7*x - 14. Solve -2*m = -x, -l = -3*c + c - 5*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 7\/6 (c) 119.291 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 82. Give i(-32).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, 5*d = -2*v + 12 + 20. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 3, v: 1}. Give prob of picking 2 y and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffififfifi. What is prob of picking 3 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 62581\nAnswer: 4\/62581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*(1\/(-5))\/((13 - 12)*-14)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 53, 100, 173?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -53. Let p = 64 - s. Factor 0 + 0*i + 4*i + 6 + p*i + 3*i**2.\nAnswer: 3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*b**2 + 9*b**2 + 252*b**2)*(0 + 0 - 2*b) + (-2*b - 3 + 3)*(b - b + b**2) - 3*b**3 + 2*b**3 + 2*b**3.\nAnswer: -451*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 8 + d)*(37*d**3 + 54*d**3 + 106*d**3).\nAnswer: 394*d**4 + 1576*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -171074.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 889, -2, -3\/370?\nAnswer: -3\/370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 722 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 456 + -443. Let w(l) = 44*l - 3. What is the remainder when w(3) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*u - 23, 0 = -32*b + 34*b - u - 11. Solve -m - 2 = 0, m = 5*i - b*m - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 148\/(-52) + 2\/(-13). Let z = -3 - p. Solve z = -0*f - f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:13 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2299*b**2*g**2 + 25*b*g**2 - 3*b wrt b?\nAnswer: 4598*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12891, -12886, -12881, -12876, -12871?\n\"Answer: 5*h - 12896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12730*b**3*r + 1812*b**3 - b**2*r + 2*r with respect to r.\nAnswer: -12730*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8 - (-8 + (-472)\/32). What is the second derivative of -w*r**2 + 0*r**3 + 3*r - 6 + r**3 + 25*r**2 + r wrt r?\nAnswer: 6*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -332049 (base 13) in base 2?\nAnswer: -100100101111100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one quarters of a year?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1121, -7488, -30805, -76168, -150915?\nAnswer: -262384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -24 + 28 + 7*t**2 - 3*t**2 + 7*t + 13*t**3 - 12*t**3. What is c(-5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/25)*q*q*q\/(q\/(q\/(q**9\/q*q)))*q**(2\/7)*q**(-2\/5))**21 assuming q is positive.\nAnswer: q**(-3168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185427, 370837, 556251, 741669?\nAnswer: 927091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44.2 and -0.0661.\nAnswer: -44.2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/56)\/(1\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.0801nm in micrometers?\nAnswer: 0.7140801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-382410)\/3150 - (-157 + 38).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 79*b + 47*b - 276 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -5*u**3\/6 - 98*u. Let z(n) be the third derivative of -n**4\/6 - n**2. What is z(i(a))?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 15. Let s be a(-11). What is the nearest to -1 in -2\/15, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636933.\nAnswer: 23, 71171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209)*1 + sqrt(209)))\/(sqrt(396)*-1).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1767710 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-135))\/((-32756)\/(-4310)).\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6250\/(-65) + (-4)\/(-26) + 0. Let i = 72 - a. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.056 + -0.0502. Round k to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - z = 2*g + 6, -4*g = 3*z - 12. Let u(w) = -5 + w + g*w**3 + 2 - w**3 - 4*w**2 + 0*w. Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/186*(-171)\/(-3325)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d**2 - 2*d - d**3 - 15*d**2 - 4 - 4*d**2. Determine g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 34*o = -38*o + 833. What is the remainder when 138 is divided by o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7))**(-2\/7) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighty-seven halves of a centimeter?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*m + 32*m - 5*n + 88, -3*n + 56 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 141, -178, -715, -1476, -2467, -3694, -5163?\n\"Answer: -k**3 - 103*k**2 - 3*k + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.6 (b) -0.9 (c) 45\/73 (d) 35\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*n**3*s + 172598*n**3 + 513*n**2*s wrt s.\nAnswer: 10*n**3 + 513*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, g: 1, a: 7}. What is prob of picking 1 g and 1 z?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -10) + 1 + 0. Let t(i) be the second derivative of i**4\/12 - 7*i**3\/6 + 13*i**2\/2 - 7*i. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = 0, 4*o - 36 = q - 5*q. Let h = 634 - 630. Find the second derivative of 7*t**3 + t + t**h - 3*t**q - 7*t**3 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 360*c**3 - 4*c**2 + 27. Is v(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 7*n**2 + 6*n - 6. Let s be u(-5). Suppose -3*r - 3*g + 4*g + 5 = 0, -5*g + 26 = 2*r. Let p be s\/r - (-2)\/6. Solve 0 = -p*i + 2*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.5 + 0.5. Let t = -2 - l. Let j = -4.9994 + t. What is j rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -106*22\/20. Let x = 114 - i. Factor x*p**2 + 1\/5*p**4 - 3\/5*p**3 + 0*p + 0.\nAnswer: p**2*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3)*(-4 + (-3 - -505)). Let v = 338 - q. Solve 2*k + 2 - v = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/60 + p**4\/12 + p**3\/6 + p**2 - 3*p. Let h(b) be the first derivative of c(b). Solve h(t) = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let b = 4 - 6. Suppose -2*r + 4*r = 62. What is the remainder when r is divided by v(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -1 + 3 + (-76 - -35)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77499.19 tonnes in micrograms?\nAnswer: 77499190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 19\/(-5))\/((-52)\/(-16) - 3). Which is the closest to -5? (a) j (b) -0.06 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/96*-61*20\/(-2440)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*m**4 - m - 3*m + 1 to the form h + n*m**3 + y*m**4 + d*m**2 + p*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 2591499855?\nAnswer: -2591499869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 2*y**2 + y - 1. Let i(f) = -16*f**3 + 3*f**2 + f + 2. Let z(o) = -i(o) - 6*p(o). Calculate z(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rprrwpprprprrrwrrpr. Give prob of picking 1 r and 1 p.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 847 - 733. Suppose -89*s + 70*s - j = 0. Put 9, s, 0 in increasing order.\nAnswer: s, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533248 is divided by 1444.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 24*w**2 - 118*w + 672. Let c be v(6). What is the highest common factor of 54 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -173.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -97, -120, -151, -190?\n\"Answer: -4*f**2 - 3*f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, a: 4}. What is prob of sequence aaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4\/5, -3.824, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -19. Let g = q + -8. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 34 = 5*b, -123 + 93 = -3*b - 5*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1589 - 1557) + 2 + -20 - (89 - (-1 + 1))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 4. Let q be k\/5 - 69\/(-15). Suppose -76*b + 15950 = 214*b. Calculate the highest common factor of q and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -6*l**5 - 7*l**3 + 34. Find the third derivative of v(r) wrt r.\nAnswer: -720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/432*(-6)\/4*-4. What is the closest to -1\/13 in 1, x, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 10. Let q be i(-3). Solve 5*s = 9*s - q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.699 + -0.031. Let b = r - 0.07. Let i = b - -4.6. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 2\/5, -1\/2, 7 in increasing order.\nAnswer: -1\/2, -1\/11, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 13*v = 1350138 - 77943. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k - 546 + 680 = 0. Solve -10 = -d + 4*z, -k*z = 51*d - 49*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 3*m - 5, -2*m - 6 = x. Let j = -34 + 24. What is the units digit of (m - -3) + -1 - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 - 17*r**4\/4 + 5*r**3\/2 - r**2\/4.\nAnswer: r**2*(r - 1)**2*(8*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - 118. Suppose -6*k + 10*k = u. Suppose d + 0 - 3 = 0. Solve 3*b - 13 = -5*i, -k = -3*i - 3*b - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/15 - 568*n**2\/5 - 10520*n\/3 - 6560 = 0. What is n?\nAnswer: -820, -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2b941 (base 14) to base 11\nAnswer: -74853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4075 - -1218431\/299. Let o = r - -28\/13. Let y = -2\/15 - 2\/3. Calculate the common denominator of o and y.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 + 74*r + 90. Determine q(14).\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 20664411?\nAnswer: 20664343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(720) + -3 + (sqrt(25) + 2*sqrt(25)*3)\/(sqrt(320) - (sqrt(320) - (sqrt(320) + sqrt(320)*-2 + sqrt(320) + sqrt(320)))).\nAnswer: -3 + 103*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 13*n**2 + 15*n - 24. Let p = 31 - 19. Let j be a(p). Suppose -j*t = 3*t - 46425. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813 times -963.2\nAnswer: 783081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1 + -5)\/(-2). Suppose 8*t - 3*t - 12 = -4*k, k = -c*t + 3. Suppose 0 = y + k*v + 3, 2*y - 4*v + 7*v = 6. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 2, m: 2, v: 5, j: 2, z: 2}. Give prob of sequence mjz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - 4*z)*(3222*z**3 - 40*z**3 + 7*z**3) - 2*z - 2*z**4 + 2*z in the form m*z**3 + a + s*z**2 + y*z + x*z**4 and give x.\nAnswer: -3191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 611*j**4\/6 + 1747*j**2\/2 + j + 227. Differentiate i(a) with respect to a.\nAnswer: 2444*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/7)\/((35\/(-42))\/(-5))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2 + 8*k + 31. Determine x(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4379, 4553, 4857, 5303, 5903, 6669, 7613, 8747?\n\"Answer: 2*s**3 + 53*s**2 + s + 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30498952 divided by -10846?\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 + 2)\/(-18))\/((-1)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61802\/7 smaller than 8634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 196884*y**2 + 4*y + 24. Let f(i) = 2*i**2. Determine w(f(q)).\nAnswer: 787536*q**4 + 8*q**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1333449 and 2358.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + -4.4. Let l = -7631\/2 - -83945\/22. Which is the closest to -2\/5? (a) l (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489114 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*o - 2*l, 0*l + 41 = 14*o + 3*l - 62 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfzff. Give prob of picking 2 f and 1 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 4) to base 14\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((12\/(-5))\/(2\/230))\/(-1). Suppose -3*q - m - m + r = 0, -4*q + 364 = 4*m. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -709.7824 to one dp.\nAnswer: -709.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/7 - 757160*a\/7 + 35830704100\/7 = 0.\nAnswer: 94645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 + 9*i + 6. Let a be x(-4). Let j be (6\/(-48))\/(a\/2348). Let o = j - -146. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-1\/4))**23\/(r*r**0*r*r**(-6))*((r\/(r\/((r**5*r)\/r)))\/r*r*r**(2\/17))**(13\/6) assuming r is positive.\nAnswer: r**(5327\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h + 296. Calculate the common denominator of 52\/17 and 3\/12 + h\/(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5152*z**2 - 12*z + 40. Let n be w(-14). What is n rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.061? (a) 0.2 (b) 1\/6 (c) -11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y + (-4 + 1 + 1)*(-1 - y + 1) - y + 2*y + 0*y + 0*y - 2*y + y)*(-6 + 6 - 13*y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6897 + 6902. Sort a, -1\/11, 0.2, -1\/12, -2 in decreasing order.\nAnswer: a, 0.2, -1\/12, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127.6 - 128. What is the nearest to -1\/2 in m, 11\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, j: 4, q: 6}. What is prob of sequence qaaq?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1177*s + 20024. Determine u(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 2. Let v be -1*(3 + -2)*1. Let f = v - 3. Determine b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146889509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**9\/((u*(u*u*u**(-2\/33)*u)\/u*u)\/(u\/(u*u**(-3)))) assuming u is positive.\nAnswer: u**(235\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(4 + (-52)\/16). Suppose -u = u + 2*q - 6, 0 = z*u - 4*q + 28. Which is the third smallest value? (a) -1\/5 (b) 1\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(76)\/sqrt(4) - sqrt(19)) + 6*sqrt(19)*1 + ((0 + sqrt(684) + 5)**2 - (2*sqrt(684))**2*2) + 4.\nAnswer: -4764 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j**2 - 33*j + 33*j)*(4*j**2 + j**2 + 7*j**2).\nAnswer: -192*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7785?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 13. Let u be q(-3). Let n be 7 - 16\/((-4)\/u). Solve -n*f - 5 = 3*w + 2*w, f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 91 + 825 - 734.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 707464811 and 1.9?\nAnswer: 707464809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 2)\/((-3 - -8)\/5). Which is the nearest to 1\/4? (a) -4 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Let k(v) = -v**3 + 9*v**2 - 7*v + 2. Let m be k(8). Let u = m - 34\/3. Which is the closest to 1\/3? (a) 0 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 24. Find the common denominator of g*(-1)\/(-28)*-19 and 202\/44 - 0 - 3.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1192 - 1948. Let i be (1\/(-4)*2)\/(21\/v). What is the third derivative of -1183 - i*h**4 + 1183 + 3*h**2 wrt h?\nAnswer: -432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/156)\/(-9)*8\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 120592*s - 3497190. Calculate h(29).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -2, 9?\n\"Answer: 11*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5198600 divided by -68?\nAnswer: 76450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtvknuu. Give prob of sequence nkvr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 27*k + 1980 = 0. Let n be (-75)\/225 + (-214)\/k. Let h = -2 - -2. Is n >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 182?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 937412.62 * -3\nAnswer: -2812237.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12886.467 rounded to zero dps?\nAnswer: -12886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*(sqrt(99) + -3 + sqrt(99)) - ((sqrt(99) + sqrt(99)*2 + sqrt(99))*-2)\/sqrt(9)) + 3)**2.\nAnswer: -40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 - -432. Suppose -2*g = -2*n - t, 0 = -3*g + 6 - 0. Let d = 130 + n. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 726 + 84 = b, -u + 4*b = -183. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 23 = -b, 41*c - 43*c = -5*b - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is e8 (base 15) in base 6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3488304 divided by -12\nAnswer: 290692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12)**1 assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -199.\nAnswer: 99.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8944*t**3 - 5865*t**2 wrt t?\nAnswer: 53664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:39 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7857 and 8051?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 18}. What is prob of picking 3 n?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - -0.26. Which is the third biggest value? (a) 2 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20863 rounded to 3 decimal places?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 28*y**2 + 59*y - 13. Let w be b(-30). Let u be (30\/(-9))\/((-1)\/(-3)). Let q be w\/(-15) - 8\/u. Sort q, -1, 0.5 in descending order.\nAnswer: 0.5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100683 rounded to four dps?\nAnswer: 0.1007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4723 - -1?\nAnswer: -4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 146, 165, 184, 203?\n\"Answer: 19*d + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 0.4 (b) -2 (c) 1\/5 (d) 0.6 (e) 4785\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7)\/(m\/m**2)*m**(2\/11)\/(m\/(m\/(m**(-1)*m))))**(-48) assuming m is positive.\nAnswer: m**(-2256\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36270)\/(-72) + (-1 - 5\/(-4)). What is the greatest common divisor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2) - 2)*2. Let n be 27\/(-12) + k + 5\/4. Let c be 6\/n - -3*8\/3. Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 18\/(-4)*(-48)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 - (-2)\/(-8). Suppose m = -u + 4. What is the third derivative of -6*c**2 - m*c**3 - c**3 - c**3 + 0*c**2 wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 1. Let k(i) = 6*i + 2. Let a(j) = 5*f(j) + 2*k(j). What is a(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/26982 and 41\/2914056.\nAnswer: 2914056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.2 (c) -15742293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 113694 and -4840.881.\nAnswer: 108853.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/12 - 35*g**4\/36 + 20*g**3\/9 + 40*g**2\/3 + g - 5. Find h such that a(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17266 - -41289. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-4*m - 4 + 4) + 2*m**2 - 3 + 3 + (-4*m**2 + 0*m**2 + 3*m**2)*(1 - 3 + 1) - m**2 - 3*m**2 + 3*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*2.42218.\nAnswer: -99.30938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {v: 4, m: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) - (-9)\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 102\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040995543028 to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -89235, -356935, -803103, -1427739, -2230843, -3212415?\n\"Answer: -89234*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.089*6.5\nAnswer: 0.5785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*r + 10*c + 98, -4*r = 5*c + 44 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -514362 rounded to the nearest 1000?\nAnswer: -514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) -447 (b) 0.3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from {z: 3, b: 2, c: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59420\/(-5)*3\/(-12).\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 + 209 + (0 - 4 - -8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 + h - 7. Suppose 2*k = -3*o + 23, -2*k = 3*k - 3*o - 5. Let d(p) = p + 1. Let v be d(k). Give t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 8964*y**2 - 36 + 8767*y**2.\nAnswer: -197*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 9*j**2 - 2*j**3 + 72 - 72)*(-107*j - 49 + 49) to the form d*j**2 + y*j + h*j**4 + p + i*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 9, 12, 15, 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = -z, 3*z = -0*z - 2*y + 20. Suppose u - 221 = 2*g - 5*g, -3*g - 4*u = -209. Suppose -5*r = -5*o + g, 2 + 6 = -4*r. Solve -z*n = 5 - o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 30 = 3*f, 80*i + 98 = 57*i - 140*f + 141*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/3))*t)\/t)\/(t\/(t*t\/t**2))*((t\/(t\/(t*t**(4\/9)\/t)))\/t*t)\/t**(-5)*(t**(1\/10)\/t**(-11))**(-2\/23) assuming t is positive.\nAnswer: t**(3256\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**2. Let d(j) = 5*j + 17. Let l(g) = -g - 3. Let u(t) = 6*d(t) + 34*l(t). What is o(u(x))?\nAnswer: -224*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47014444 is divided by 723299.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/6)*r)*r**(1\/4)\/r*r*r)**39\/((r**1)**(-5\/2)*(r\/((r\/r**0*r)\/r))**2) assuming r is positive.\nAnswer: r**(179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 19. Suppose -y - z*u = 4*y - 137, 0 = -4*y + 2*u + 124. Let v = y + -13. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/(-108)*2\/6. Is -10 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.78? (a) 36\/13 (b) -0.4 (c) -2 (d) -5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11530106.\nAnswer: 2, 7, 43, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6, -3*r - 5*q + 1 = 5. What is the second derivative of v + 7*v**r + 7*v - 11*v wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -100011201121?\nAnswer: -100011201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2086 and 319828351?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 * -22.00026.\nAnswer: -145.201716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from xssso?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.14 + 11.83. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2*m. Let o be (0 + 2\/2)*1. Let n be r(o). Let p be -1*n*(1 - 0). What is the closest to p in -1\/7, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 3*h + 40.\nAnswer: -(h - 8)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*o + o. Suppose -7*p = -5*s - 2*p - 65, -3*s - 3*p - 15 = 0. Let f = -4 - s. Calculate the greatest common divisor of f and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*y - 44, -5*y = -4*a + 133 - 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*g - g = -8, -3*z + 4*g = -1. What is the hundreds digit of (-1)\/(z\/115) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 13*r - 19. Calculate d(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-7 - -16 - 3) + -16)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -16. Sort s, 3\/4, 6\/5 in decreasing order.\nAnswer: 6\/5, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -521163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2 and -5 - (513\/132)\/(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbl when three letters picked without replacement from dbdslsssdmmldmsdmm?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -6.5. Which is the closest to 1? (a) l (b) 2 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -0.1, -1\/4, 0.2 in increasing order.\nAnswer: -9, -4, -1\/4, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19333? (a) -10\/3 (b) 0.3 (c) -2 (d) -3 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 61 = d + 50, -d = 4*b - 1. Solve -88 = -d*q + 31*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17998 or 17997?\nAnswer: 17997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, -4, 12, -2, 3, 0.7 in decreasing order.\nAnswer: 12, 3, 0.7, -2, -4, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 15699*w + 47169*w - 15695*w - 15767*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1893749*l**2 + 4*l - 32. Suppose -14 = -4*s - t, -5*s = -2*t - 1 - 23. Let j be a(s). What is j rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qunggugngqqunqn. Give prob of picking 1 g, 1 u, and 1 n.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(sqrt(1872) - (1*sqrt(1872)*6)**2).\nAnswer: -404350 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-32 - 5)*(-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700793264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 40405\/1703?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.53312 kilometers?\nAnswer: 653312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*4\/((-8)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-490)\/392*4\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405525 + 1?\nAnswer: -405524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from {o: 3, d: 3, b: 1, y: 5, n: 1, r: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7175*u - 2611*u + 7299*u + 47*u.\nAnswer: 11910*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499587 is divided by 64.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 3617?\nAnswer: -542.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/373 in 4, 0.1, 5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose 18 = a*d - 3*m, m - 15 + 6 = -2*d. Let g be 2\/d + (-8)\/(-5). Solve -i + 1 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 1*-2)\/(-1 + 2). Suppose 2*u + s*u = 4. Calculate the least common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4, -2, 52, 9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -13*h + 94 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12113022 (base 4) to base 10\nAnswer: 26058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by -19\nAnswer: 245\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1225029 - 1225033 - 1225023 + 3675085 - 15*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(1008) - (0 + sqrt(1008))))**2 - -6*(sqrt(1008) + (sqrt(1008) - sqrt(1008)*-2))) + -3)*-2.\nAnswer: -576*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (334*p**2 - 334*p**2 - 25*p**3)*(p + 0*p + 63 + 1).\nAnswer: -25*p**4 - 1600*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3349, 3131, 2913?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0 + 0 + 13*b - 39*b. What is the remainder when r(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*c + 1886 - 1972. Let x(o) = -150*o - 304. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6*i*i**2\/i)\/(i\/((i*i\/(i**10*i*i))\/i)*i\/(i\/(i**(9\/7)\/i)*i)) assuming i is positive.\nAnswer: i**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t\/(t*t**(-8)*t*t)*t**(-1))\/(t**(-2\/3)*t*t\/t**(1\/16)*t*t) assuming t is positive.\nAnswer: t**(275\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 45*z + 555. Give n(40).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*i - 15*i - 7*i)*(6*i**3 - 17*i**3 - 12*i**3)*(2*i + 2 - 2).\nAnswer: 4232*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 3. Let h be 2\/3 + (-4)\/(-30). Sort h, d, 0.02 in descending order.\nAnswer: h, 0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16*2*1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) -1\/4 (b) -12 (c) 216.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**4 - 4106850*d**3 + 45586377*d?\nAnswer: -36*d**2 - 24641100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10890)\/(-338800))\/(6\/(-20))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1021 in 1815\/4, 2\/5, -1, -0.5, -5?\nAnswer: 1815\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from xmmuxxjxmx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -13, 4\/143, -2\/19, 7, 0.1 in ascending order.\nAnswer: -13, -2\/19, 4\/143, 0.1, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 597 = -228*f. Sort 117, -0.2, f, -1 in decreasing order.\nAnswer: 117, -0.2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1.8 (b) -0.4 (c) 5 (d) 0.089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11386.01002 to the nearest integer.\nAnswer: 11386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -59, 2\/9, 5\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 10543070?\nAnswer: 10543073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 6*y - 4*u + 990, 403 = 2*y + 3*u. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-4 + sqrt(156))*6 + 1*-4*sqrt(156))\/((-1*sqrt(600) - sqrt(600))\/(sqrt(2) + sqrt(16)\/sqrt(2))).\nAnswer: 33*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 1\/2, 0.2, 2\/7, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 137 - 43*j - 127*j + 23*j - 137. Let u(q) = 2*q**2. Give s(u(n)).\nAnswer: -294*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 5*z - z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w - 10*w + 8*w)*(-2 + 0 - 1)*(1 - 2 + 3) to the form g + c*w and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 23 = -3*g, 5*j = -172*g + 169*g + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -46029661?\nAnswer: 46029660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001421 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 + 2*b - 2. Let k be l(5). Let h be 310\/16 - 48\/128. Suppose 0 = h*t - 18*t - k. List the prime factors of t.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*q - 817 - 1199 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)*z*z*z\/(z**(7\/3)*z)*z*z*z**(-8)\/(z\/z**(1\/5)) assuming z is positive.\nAnswer: z**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*y = 6*y + 90*y - 456. Solve 3*c = f - 5, y*c + 17*f - 10 = 21*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*b - 101 = -401, 3*b - 21 = 0. Solve 6*k = -119 + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -2*n - 2, -3*n = -5*c + 19. Suppose -5*v = 20, 4*s = -n*v + v + 8. What is the nearest to -2 in s, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at most -7237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*a**2 - 82*a**2 - 197*a**2 - 158*a**2 + 45*a**2.\nAnswer: -571*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 10) + -5 + -34 + 63 - (12 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 475582312 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133665 and 32319?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d**2 - 1. Let b(q) be the second derivative of -q**3\/3 - 3*q**2\/2 + 143*q - 2. Let j(i) = -i - 1. Let o(w) = -b(w) + 3*j(w). Determine m(o(x)).\nAnswer: -22*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1950)\/(-15) + (-48)\/16 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**5\/10 - 5*l**3\/6 + 5*l**2\/2 + 9*l. Let h(t) = 3*t + 13. Let i be h(-4). Let j(g) = -g**3 + g - 1. Give i*q(k) + 5*j(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 14*n**2 + 11*n - 21. Calculate d(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6445 + 25404 = 30*p - 2381. What is the remainder when p is divided by 369?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21596.\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.2, -25747, -3, -108 in decreasing order.\nAnswer: 0.2, -3\/2, -3, -108, -25747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqq. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 13*t**5 - 299*t + 239. Differentiate v(o) with respect to o.\nAnswer: 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 258115*d - 5680950.\nAnswer: 5*(d - 51645)*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28.0104 * 0.2\nAnswer: -5.60208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 10:29 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**7\/(z*z**(2\/5)))\/((z*z\/(z\/((z**(1\/6)*z)\/z*z))*z)\/z**3))**(-49))**(-2\/43) assuming z is positive.\nAnswer: z**(7987\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.77 and 170756?\nAnswer: -1497530.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = i, -38*l + 34*l + 27 = -i. Let t(w) = -w - 1. Let g be t(-8). Calculate the greatest common divisor of l and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13079 = 4*y - 4*g - 12705, 0 = -3*y + 2*g + 19335. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2, -0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 3, i: 2, s: 1, y: 4, u: 2}. Give prob of sequence ybbi.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -44. Suppose -23*u + g*u = -8. Solve -3*w - u - 10 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5566 + 5575. Put 7, 0.08, -3, -5, i in descending order.\nAnswer: i, 7, 0.08, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106976 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwww when four letters picked without replacement from {a: 2, b: 2, q: 1, w: 3, h: 6}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/70 + 13*i**6\/20 + 47*i**5\/20 - 13*i**4\/4 - 24*i**3 - 1356*i**2 - i. What is f in l(f) = 0?\nAnswer: -24, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251 + 255. Solve 0 = -b - j + 2, o*j = 3*b + 5*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d + 11. Let l = -2 - -2. Calculate the remainder when 20 is divided by x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3675*n + 124*n - 113632 = 0 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380.4 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1581747 + 1581747 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -20*r - 3344. Let a = r + -314. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16362673 is divided by 8430?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**3*x + 1075681*m**3 - 583*m**2*x + 5*m**2 - m*x - 2*x wrt m?\nAnswer: 24*x + 6454086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(45))**2 + sqrt(80) + 4.\nAnswer: -221 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 176. Suppose c*t = -16 + 51. Solve -12*j + t*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21453 - 27160?\nAnswer: -50633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(5 + 5 + 114\/(-12)). Let s(j) be the second derivative of 0 + 1\/70*j**5 - 7*j - 5\/42*j**g + 8\/21*j**3 - 4\/7*j**2. Let s(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 206069.7 nanoseconds?\nAnswer: 0.000003434495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 103731000?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1421*v**3 + 62*v**3 - 680*v**3 - v**2.\nAnswer: -2039*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141304.\nAnswer: 2, 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 a factor of 642122619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4793 = 12*w - 859. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49580 divided by -9916?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1. Let c(i) = -i**3 - 4*i**2 + 4*i - 6. Let v be c(-5). Let l(u) = -3*u**2 - 6. What is v*l(n) - 6*y(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80 - -17?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.3, -0.758, 3\/4 in descending order.\nAnswer: 3\/4, -0.3, -0.758, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689588 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 174 (b) -0.2 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 36 = i. Let j(x) = -3*x - 42. Calculate the remainder when i is divided by j(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 270, 1295, 3080, 5625, 8930, 12995?\n\"Answer: 380*n**2 - 115*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. Suppose -4*a + j = -a. Solve 3*q = -2*n + 2, n = 4*q - a*n + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -112313200?\nAnswer: 112313233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + 2*u - 2. Let n be t(-3). Suppose 5*c - 1 = 9. Suppose -c = -8*k + 6. What is the highest common divisor of k and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 16. What is the units digit of w(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10055072)\/251536 - (0 - (-2)\/79)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11144 and 2520.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 + 1 = 0. Suppose -34 = -v*x - 16. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 2, c: 3, o: 4, a: 10}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28742 = 98*o + 15273 + 7981 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260746 (base 9) in base 5?\nAnswer: -134031024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/49*(-70)\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.167, 38, -0.5, 8, 0.27?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8\/15, -1\/6, -5, 5, 20, 2\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 39 + 41. Calculate the least common multiple of d and (2 - 1\/1) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 25*y - 4*g = -17, g + 17 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 137210032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8780 minus -1.8?\nAnswer: -8778.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/(l*l**(-4\/27))*((l**(24\/11)\/l)\/l)**22 assuming l is positive.\nAnswer: l**(301\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/15 - (-2)\/5. Let f be t - (-5 + 2)\/1. What is the remainder when 17 is divided by -6*-2*1\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/9334 and -33\/718.\nAnswer: 9334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -18 (c) -5757\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1310284 divided by 327571.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90571843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 3845224*n**2 - 3845236*n - 7690456 = 0.\nAnswer: -961307, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64659 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, -4.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -342 + 344. Solve 0 = 5*z + h - 4*h + i, 0 = z - 2*h - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -111, -68, -5, 72, 157, 244?\n\"Answer: -m**3 + 16*m**2 + 2*m - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (354\/(-8))\/(11\/132). Let u be o\/6*4\/(-6). Suppose 3*s - 3*q - 171 = 0, -s + 0*s + 3*q + u = 0. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/10 + (-2)\/5. Let x(g) = 1 + 0 - g**2 + 0 + 10 - 8*g. What is the least common multiple of 7 and x(v)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183305 and 351665?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000064273 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = 2. Let n be (c\/2)\/(-1)*-18. Let h be 14*(-1 - (-45)\/35). Solve m + 4*j = n, 0 = -2*m - h*j + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let v(s) = -3*s**2 + 4. Let y(k) = -8*k**2 + 11. Let m(i) = -11*v(i) + 4*y(i). What is d(m(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-10) - 4 - (0 - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2790, -2783, -2772, -2757, -2738, -2715, -2688?\n\"Answer: 2*v**2 + v - 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -288, -570, -844, -1110, -1368?\n\"Answer: 4*u**2 - 294*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 425229299 to the power of 1\/3, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -10. Is ((-452)\/6)\/(4\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 704.323 + -704. Let t = k - 111.623. Let r = 123 + t. What is r rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-36)\/(-8))*2. Suppose -5*u + 26 = 2*z, 2*z - 2*u + w*u = 18. Suppose 0 = -2*i - 2*y + 160, 4*i + z*y - 329 = 2*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*q**3 - 531 + 2514*q**3 - 1706 + 1555*q**3 with respect to q.\nAnswer: 13134*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, -2, -29, -53, 2 in ascending order.\nAnswer: -53, -29, -3, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-7))\/(36\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -13 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2774)\/28543*-23*-34.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182168923 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26341 + 26418. Solve 0 = -35*j + c*j - 336 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/(-470)*((-16)\/24)\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -385138, -385076, -385014, -384952, -384890?\n\"Answer: 62*t - 385200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i*i*i\/(i*i\/(i*i\/(i**(-1\/9)\/i)*i))))\/i*i)\/i)**(12\/5)\/(i**(4\/13))**(10\/13) assuming i is positive.\nAnswer: i**(-19528\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 - 407. Which is the smallest value? (a) -1\/5 (b) -0.04 (c) g (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k = 69*k - 944. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:33 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 6, u: 4, s: 1, g: 3}. Give prob of picking 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*f + 4652 - 560 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -13, 4?\n\"Answer: 17*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30595*s**3 + 171941*s**2 wrt s.\nAnswer: 183570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poox when four letters picked without replacement from bpoxkokkkp.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 + 460. Let g = -451\/3 + s. Is g greater than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(sqrt(300)*-2*-2*-4)**2*-4)*3.\nAnswer: 4608006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2*r**3\/9 - 2*r**2\/3 + 2*r\/3 + 15. Factor a(c).\nAnswer: 2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35976127, 35976105, 35976083?\n\"Answer: -22*s + 35976149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43\/3*g - 102 - 1\/3*g**2.\nAnswer: -(g + 9)*(g + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -317?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(209) + 3*sqrt(209) + sqrt(209) - sqrt(209)))\/(sqrt(275)*-1))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*u - 906 = 0, 0 = n + u + u - 294. Suppose -4*w + n = w. Suppose 0 = 18*f - 13*f - w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 41 - (6 + 1 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3343 + -3346. Which is the second biggest value? (a) 49 (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose x*r + 27 + 5 = 5*l, -28 = -2*l + 5*r. Let n = 6 - -4. Solve -2*p = -l*p + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (6 + -4) - (13 + 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 375 - 378. Let n = -13.4 - -13.8. What is the closest to 0 in -5\/6, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 41734.9.\nAnswer: -208674.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:07 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-1176))\/(13\/542) - (-8 + 1)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c + 27*c + 8906 = 150*c - 5002 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(((-193)\/((-297027)\/(-18)))\/((-2)\/(-3))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 801\/11. Let h = -18.58 + -0.42. Let y = h + 19.1. Put -0.5, y, z in descending order.\nAnswer: y, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 59 (b) -1\/5 (c) -5\/3 (d) -3692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y + 3. Let g be k(7). Suppose -g*c = 4*b + 19 + 4, 0 = 4*c - 12. List the prime factors of (-38)\/b - (-1)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -2*d - 10. Let q be 6\/d + -2 - -2. Suppose 2*w + 297 - 38 = 3*b, q*b + 4*w = 229. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - 18) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315.2085 - -315.9. Round c to two decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/14714196 and 28\/4729563.\nAnswer: 132427764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -1343333*s**3 - 3*s**2\/2 + 2*s + 1. Let v = -187 + 188. Let h be d(v). What is h rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 4927*g + 4*g**4 + 10*g**4 + 0*g**3 - 4925*g as d*g**2 + p*g**4 + y + b*g**3 + i*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 3. Let c(m) be the third derivative of m**4\/12 + m**3\/2 + 32*m**2. Give -6*c(z) - 5*n(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41203 is divided by 53?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 divided by -43?\nAnswer: 318\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (10 - 3) + -4 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/59?\nAnswer: -20\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2527*u + 16894. Calculate g(7).\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 69*q**3 + 17*q**2 - 193*q + 14. Let r(v) = 103*v**3 + 26*v**2 - 292*v + 21. Let f(z) = 11*l(z) - 7*r(z). What is the second derivative of f(y) wrt y?\nAnswer: 228*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 962*s**4\/3 - 2*s**3 - 72*s**2 + 5*s - 59. Find the second derivative of h(w) wrt w.\nAnswer: 7696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612632133 and 15768?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*j + 19, -3*v - v = 5*j - 10. Suppose 5*b = j*b. Suppose b = -4*z - 3*u + 4*u + 127, 0 = -z + u + 28. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-15))\/(3 + -4 + 0). What is the smallest value in s, 0.3, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.72 - -18.22. Let b = 25 - f. Let w = b - 2.8. Round w to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 - 53 + 130 - 5*u + 0*u**2 + 19 + 13*u = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*j**3 - 438*j**2 + 4113*j - 6912 = 0. What is j?\nAnswer: -768\/55, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/6 + 419*w**3\/6 - 2485*w**2\/2 - 2197*w. What is the derivative of d(c) wrt c?\nAnswer: -4*c + 419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 8*y = -62 - 5, 4*z + 6*y + 42 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*s - s + 13 = 0, -84 + 104 = -4*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168777605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(1050\/12))\/(1\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635099 and 1802?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s)\/(s*s\/((s\/s**(-2))\/s))*(s\/(s\/s**(2\/5)))**24 assuming s is positive.\nAnswer: s**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 + 32. Suppose -4*t = y - 27, 7*t + 2*y - 24 = 5*t. Let a(r) = -7*r**2 - 33. Give t*a(f) + 6*u(f).\nAnswer: f**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61237035 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 1. Let i = 1.4 - 1.238. Let g = i - u. What is g rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424344343 to the power of 1\/2, to the nearest integer?\nAnswer: 20600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.027 + 0.03. Let m = 0.17768 + -0.1808. Let g = w + m. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-117)\/(-3))\/(6\/(-8)). Let o be (2\/(-4))\/(1\/r). Let v = o + -16. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 1209?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6733, 8 in increasing order.\nAnswer: 5, 8, 6733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*z + 14. Find the third derivative of 77 - 150 - z*v**2 + 73 + 7*v**5 - 46*v wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ool when three letters picked without replacement from loooolooloooloooooo.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60836778?\nAnswer: 2, 3, 17, 66271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.06338 - -0.06338. Let y = 3.92 - -0.08. What is the smallest value in g, y, 2\/3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -778490 by -77849.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let x(j) = 140*j + 2. Calculate x(c(r)).\nAnswer: -280*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(9\/12). Solve -s*m + 5*m = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153688.95 to the nearest one hundred.\nAnswer: -153700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -12*i + 2*i. Suppose i*u = -48 + 252. Let p = u + -27. Solve 0 = -4*o + r + p, -o = -2*r - r - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/5 (b) -35 (c) -5 (d) -1354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20071, 20495, 20917, 21337, 21755, 22171?\n\"Answer: -t**2 + 427*t + 19645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*d - 93*d - 171*d as n*d + o and give n.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**3*t)\/t*t)**22\/(t**13\/t*t\/t**(-1\/9)) assuming t is positive.\nAnswer: t**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*f + 36 = -z, -f = -4*z + 11. Suppose -g = -4*q - z*g + 14, -5*q = 5*g - 20. What are the prime factors of q\/3 + 28\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 4*j**3 - 2*j**3 + 2*j**3 - 7*j**3 + 0*j**3 + (2*j**3 + 0*j**3 + 0*j**3)*(3 - 3 - 2) + 2*j**3 - 3*j**3 + 0*j**3 - 2*j**3 + 2*j**2 - 2*j**2.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98473, -196955, -295437, -393919, -492401?\nAnswer: -590883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 557 = 0. Suppose -m = -5*h + 163. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52019417 to the nearest integer?\nAnswer: 7212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -8*x - 6. Solve 2*i - x*j = -0*i + 12, 2*i = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 603 + 2*s - 1200 + 596 - 5*s**2 to the form u*s**3 + k*s**2 + z + v*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7633564 + -3?\nAnswer: -7633567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -60*v + 44. Let z be c(-15). Let k = z - 8504\/9. Let g = -68\/7 - -361\/35. What is the biggest value in 2\/7, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -634, -633, -632?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.05, 4\/9 in increasing order.\nAnswer: -0.05, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3627305972*o + 3627305972*o - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 812, 888, 1000, 1148, 1332?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/7)\/q)\/((q\/((q\/q**(-1\/2))\/q))\/q)*q**(-2)\/q*q*q*q*q\/q**(-1\/6) assuming q is positive.\nAnswer: q**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 10071959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.2 (c) -1 (d) 15 (e) 42\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 51264 = -36152. List the prime factors of q.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52679 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/60 - 13*x**3\/30 - 7*x**2\/5 - 96*x + 8. Suppose q(a) = 0. What is a?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let t(q) = -8*q + 4. Let i(m) = -2*a(m) + t(m). Let f(k) = 34*k - 4905. Let w be f(144). Let y(n) = -13*n + 9. Give w*i(p) + 4*y(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -x - 5*m, 28*x - 23*x + 3*m + 574 = 0. Let z = x - -196. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 24*n + 30. Let l be x(-6). Let o = -1 + -49. Let g = o - l. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 2\/13 (b) -9 (c) -472 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:19 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -200. Let w(y) = 129*y - d*y + 2*y**2. Let q(f) = 17*f**2 - 5. Determine q(w(t)).\nAnswer: 68*t**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0566 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 22 = -5*w, 2*w - 5*n + 1 = 4. Suppose -j = 3*q - w*q + 131, 4*j = 5*q - 657. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58981*b - 6*b**5 + 49 - 58982*b + 2 + (2*b - b - 2*b)*(-b**4 + 5*b**4 - 2*b**4) + 0*b + 0*b - 2*b**5 - b**5 - 2*b**3 + 2*b**3.\nAnswer: -11*b**5 - b + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4750527\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2463*t + 5701*t + 42094 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 150*k. Let c(o) = -o. Let m(v) be the first derivative of v**3\/3 - 2*v**2 + 213. Let b(z) = -4*c(z) + m(z). Determine b(l(p)).\nAnswer: 22500*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*k + 3*k - 4, 0 = 4*f. Suppose 9*n - k*n - 30 = j, 5 = -j. What is the units digit of (16\/(-2))\/(-4)*n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*k + 2486 + 8*k**3 + 2408*k - 1206*k.\nAnswer: 8*k**3 + 2486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149408481290 - 27*p + 149408481290.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49978?\nAnswer: 2, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -46. Calculate the remainder when o is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*r**3 + 2054*r**2 + 2604*r - 954 = 0. What is r?\nAnswer: -3, 53\/180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 3, -1101626, 0.08, -0.5?\nAnswer: -1101626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -70. Let q(i) = -5*i**2 - 139*i - 540. What is the smallest common multiple of q(-23) and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40772467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 7*t + 1. Let o(b) = b**2 - 7*b + 2. Let s(a) = 2*m(a) - 3*o(a). Is 13 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325524*0.022\nAnswer: -7161.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/220 and 83\/951104.\nAnswer: 4755520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604568956 divided by -4058.\nAnswer: -148982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25716352741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*v + 5*s, -v = -5*v - 2*s + 30. Let b(z) = 7196641*z + 154. Let w be b(v). Round w to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43258.5903 + 43254. Round b to one dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 12*l + 52, 2744*l + 229 = -5*f + 2747*l for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.44 + 0.04. Let q = -29 - -29.168. Let k = 0.032 + q. Sort y, k, -3 in descending order.\nAnswer: k, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63273 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 - 877*c - 260. Calculate the remainder when z(-97) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(171)\/((sqrt(9) - (sqrt(9) + -2*sqrt(9)))*5).\nAnswer: -1 + sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202030 divided by -20203.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11656*d - 11581*d = 5400 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 - 9*u. Let h(i) = 6*i**2 - 5*i. Let n(l) = -7*l - 7. Let a be n(-2). Let c be (-1*4)\/((-2)\/(-2)). Give a*h(o) + c*y(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16*m + 15*m - 3*m + 9 = 65, 0 = 3*c - 4*m - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3158120 is divided by 463?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44899.\nAnswer: 59, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*d**3 - 4*d + 11 wrt d?\nAnswer: 468*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - -18)) + (0 - -15) + -18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -342210 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 57940?\nAnswer: 1\/14485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/90*19\/(456\/(-300)). What is the third smallest value in 0.01, -11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1267? (a) -28\/13 (b) -1\/6 (c) -0.1 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + 16. Factor 67*g**3 - v*g**3 - 223 + 59*g**2 - 320*g + 17*g**2 - 177.\nAnswer: -4*(g - 10)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 77778*y**2 + 2*y + 4. Let j be (-34)\/(-3) + (-2)\/(-3). Let q be j*-2*(-2)\/(-8). Let d be c(q). Round d to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**3 + 2*c**2 - c - 2. Let a be b(-3). Suppose 0 = -3*p + 2*p - 2, 5*p = -5*d + a. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7*j**2 - 9*j**2 + 6*j**2 to the form k + t*j**2 + p*j and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 28842829?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*m - 15*m + 560. Which is the third biggest value? (a) 4\/21 (b) m (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -13\/2*z**3 - z - 1\/12*z**6 + 0*z**4 - 4*z**2 + 0 + 0*z**5 + 1\/105*z**7. What is the derivative of v(h) wrt h?\nAnswer: 8*h**3 - 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -l + 8*u + 82, 3*l = -3*u + 264. Suppose 5*r = m + 4 + 6, -9 = -3*r. Suppose -m*x + l = 12. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13089835.\nAnswer: 5, 11, 237997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, j: 5, u: 9}. What is prob of sequence hj?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 324200?\nAnswer: 323433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 4*d - 1. Find the common denominator of h(3) and -59\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(24)\/sqrt(4) + sqrt(6)))\/sqrt(10) + (sqrt(40)\/(sqrt(648)*1))**2.\nAnswer: 5\/81 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0*o + 0*o)*(-1 - 2*o**2 + 1) - 476*o**3 - 413*o**3 + 1518*o**3 + 2*o**3 - o + 21 - 21 as b*o**2 + i + g*o + j*o**3 and give j.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from mkmmmkmkmm.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -38\/9, 0, -3 in decreasing order.\nAnswer: 3, 0, -3, -38\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 15 = 13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -8.3. Let k = 2 - m. Which is the third biggest value? (a) 4 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = f - 4*v, -v - 3*v = 2*f - 34. Let r(c) = 3*c**2 + 4*c + 2. What is the smallest common multiple of f and r(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 11 - 7. Calculate the remainder when (-282)\/g + 1 + -2 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1132.22\nAnswer: -4528.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28123 + 7261 = -549*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, -2\/11, -336\/11, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 0*l**2 + l**2)*(1 - 6 + 3)*(-4*l**2 + 3*l**2 + 0*l**2) + 5397*l**3 - 339*l**4 - 5397*l**3.\nAnswer: -337*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 - 4*h**2 + 2*h + 2*h + 0*h + 0 + h**3. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11446.71 millennia?\nAnswer: 114467.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10506 and 43716?\nAnswer: 76546716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence totr when four letters picked without replacement from {o: 2, p: 2, r: 3, t: 2, c: 1, a: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d + 1. Let a be ((-2)\/10)\/(5\/(-25)). Let b be f(a). Let h(c) = 5*c**3 + c**2 + 5*c**3 + 0 - 8*c**3 - 2*c + 0 - 1. Calculate h(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r)\/r**(-4)*(r**0*r)**(11\/3)*(r\/(r**(-1)\/r))**6\/(r*r\/r**0*r*r)**(17\/4) assuming r is positive.\nAnswer: r**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 + 57 = 0. Let c = 37 + g. Solve -1 = -4*y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 379036715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 0.107322?\nAnswer: 10.892678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnmmqqmmd. Give prob of picking 1 n, 1 d, and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 7*k + 4136. Calculate the common denominator of -43\/78 and k\/(-120) + 2*(-3)\/15.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28742379.\nAnswer: 3, 239, 40087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6150\/34 - 110\/(-935). Suppose 6*d = -w + 259. Calculate the remainder when 67 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*y**5 - 2*y**4 + 259*y?\nAnswer: -600*y**3 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*-4650790\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 6*h - 3*h)*(2 + 1 - 2) + h + 20 - 2*h + 4.\nAnswer: -2*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -654.5 - -654. Which is the smallest value? (a) 0.04 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**2 + q - 6. Let l(r) = -1. Give 6*l(g) - u(g).\nAnswer: -12*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 12, -3, -1, 3, 11 in ascending order.\nAnswer: -37, -3, -1, 0, 3, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226 is divided by 500?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 20*x + 16. Let l(i) = -4*i - 3. Give 3*k(z) + 16*l(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w - 1. Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*a**2 - 7*a**3 - 4*a**2 - 5*a**3 - 64 + 28*a**2 - a + 66 to y*a + i + w*a**3 + s*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010101 - 10000111100010100111?\nAnswer: -10000111011111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545145*p + 545085*p + 4347 = 987 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = -6*k. Let u be -805 + k + 6 + -6. Let j = -313 - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 3*y + 7*y. Let r(h) = h**2 + 1. Let v(l) = -5*l**2 - 3. Let d(g) = -9*g - 33. Let w be d(-4). Let u(q) = w*r(q) + v(q). Give u(c(m)).\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 631*m**5*s - 85*m**3*s**3 + 3*m**3 - 759*m**2 - 3*m*s**2 + 5*s**3 + 2*s wrt m.\nAnswer: 37860*m**2*s - 510*s**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -87. Let d(i) = 2*i - 4. Determine d(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12406 - 4013. Suppose 10086 = 17*l - x. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27548*z**2 - 27329*z + 219.\nAnswer: -(z + 1)*(27548*z - 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12553, -12547, -12537, -12523, -12505, -12483?\nAnswer: -12457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -1.6. Let k be (-141)\/6*2\/1. Let f = k + 187\/4. Is f greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from aapjwnr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27)*((-32)\/(-70))\/((-816)\/(-4284))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397994 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and 55543.\nAnswer: -9775568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 6. Let h be f(5). Let n = h - 121. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and -8\/60455.\nAnswer: 483640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 2*s**5\/15 - 23*s**2. Let q(i) = -6 - 17*i - 17*i + 6 + 35*i. Give q(a(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2898 + 17207960\nAnswer: 17207959.7102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)\/l)\/((l*l**3)\/l))\/(l**(-4)*l*l**(1\/5)\/l) assuming l is positive.\nAnswer: l**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*l**3 - 116*l**4 - 3*l**3 - 2*l + 2*l**3 + 59*l**4 + 59*l**4 as t + v*l**2 + p*l**3 + g*l**4 + r*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454850.\nAnswer: 2, 3, 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {u: 1, w: 2, x: 1, k: 1, i: 2, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*j**4 - 627 wrt j.\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1518.953255 - -6.19\nAnswer: -1512.763255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(637) + 1 - 5*(sqrt(637) + -2) - (2 + (-2 + sqrt(13) + 0 + sqrt(13) + 4)**2 + -2).\nAnswer: -50*sqrt(13) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (8\/(-28) + 19\/(-7)). Let n(k) = 36*k**2 + k - 35*k**d + 2*k + 3*k - 18. Give n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 4*f**2 - 4*f**2 + f**3 + 3*f**2 - 2*f**2.\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i\/(i\/i**(-1\/4)))\/i*i))**(-2\/5)*i\/(i*i**(1\/6))*i**(2\/17))**(-3))**(-7\/8) assuming i is positive.\nAnswer: i**(-133\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*x - 830 = -208, h - 208 = -2*x. What is the remainder when h is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5103\/(-1458)*3\/2*(-40)\/30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Let v = 1351.12 + -1351. Which is the second biggest value? (a) o (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 23*o - 28*o - 40*o + 18*o - 30*o.\nAnswer: -113*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19008, -75997, -170972, -303927, -474856, -683753?\nAnswer: -930612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 3648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36716066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 13. Let z = -1 + 3. What is the lowest common multiple of j and 4\/(-6)*-15 + z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**2 - 225 + 0*t**3 + 0*t + 2\/15*t**5 + 1\/9*t**6 - 1\/3*t**4. Solve f(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-3\/2)*c)*c**3 assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 43 + -37 + (0 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10600107 and 63?\nAnswer: 31800321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057438145 rounded to 3 decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 0*a**3 - 12*a**3 - 7*a**3.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241624, -241580, -241526, -241462?\nAnswer: -241388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-5) - (-22 - 112\/(-4)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + u)*(-3 + 8 - 3) + u + 4*u - 3*u)*(1 - 1 - 1).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 72.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/33))**20 assuming u is positive.\nAnswer: u**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjgjjjjgggjgg. Give prob of picking 2 g.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5556 or -20128?\nAnswer: 0.5556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-339)\/561 + (-73)\/(-1241)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -558, -558, -554, -546, -534, -518, -498?\n\"Answer: 2*y**2 - 6*y - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 2 - -79 - (-24)\/6?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1. Let o(f) = 8*f - 2. Calculate -2*l(z) - o(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 2971929*b**2\/2 - 243713307*b\/2 - 4996226175\/2.\nAnswer: 3*(b - 990725)*(b + 41)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9411?\nAnswer: 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33570*c + 34885*c - 12870*c.\nAnswer: 55585*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -36 - (-185 + 161).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6141488 to the power of 1\/2, to the nearest integer?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b - 97 - 103 = -50*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -35131?\nAnswer: 35132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1504 and 20128.\nAnswer: 946016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 18678?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w + 16*w + 8*w)*(2*w + 2 - 2).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4097907 and 1925649.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -442 - -3?\nAnswer: -43e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 531170181 to the power of 1\/3, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by 1232.\nAnswer: 103\/1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34340\/3 - -11446. Sort 1\/3, v, 1, -29.\nAnswer: -29, v, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -33*z + 120. Let q(t) = t**3 - 4*t**2 - 3*t + 11. Determine q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*c - c. Let b = -129 - -236. What is the remainder when b is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -0.04\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 154 + 594. Suppose 0 = -5*n + 2*n + 5*a + p, 0 = -n + 4*a + 134. Let q = 238 - n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116557.3 weeks in microseconds?\nAnswer: 70493855040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -137*n + 134*n + 2*i, 5*n - 198 = 4*i. Calculate the highest common divisor of n and 1120.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - -0.036. Let s = 0.124 + y. Which is the nearest to -1? (a) 6 (b) 2 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4748630*b**2 + 826024*b - 3.\nAnswer: 9497260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21844*n + 415008. Give h(-19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8032177121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33400283*v**3 + 718*v**2 - 12158.\nAnswer: 200401698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Let v(o) = -6*o**2 + o + 3. Let l be 23\/46*(-3 - 1). Let a be v(l). Sort p, a, -2\/3.\nAnswer: a, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + s**2 - 1)*(-s**2 - s**2 + 3*s**2) + 3*s**4 - 3*s**4 + s**4)*(-121*s - 181*s + 1170*s).\nAnswer: 1736*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*65.56\nAnswer: -3.9336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -307, -430, -551, -670?\n\"Answer: j**2 - 128*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -1 - 165*7350\/29700.\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610725?\nAnswer: 5, 19, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 27829890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0 + 9*z - 12*z + 3 - 6. Let r be v(-3). Let y(g) = 10 + r*g - 4 - 3 - g**2. Determine y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.21837 rounded to 2 dps?\nAnswer: -14.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -33, 8 in decreasing order.\nAnswer: 8, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360002.3 nanoseconds to milliseconds.\nAnswer: 0.3600023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18*d**(3\/2) assuming d is positive.\nAnswer: d**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3365.013 - 3370. Let u = 0.013 - t. Which is the biggest value? (a) 2\/19 (b) u (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 21\/(-5))*10. Let j be b\/(-16)*(-40)\/84. Let r be (-3)\/(-5) - 24\/15. Which is bigger: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775\/423 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137840205 or -1\/3?\nAnswer: -137840205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 14*o**2 + 15*o + 55. Let i be q(23). Suppose t + 3*a = 1793, -2*t + i - 1586 = -5*a. What are the prime factors of t?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b**2 - b - 2. Let j be c(-1). Let a = j - -9. Solve a = -u - y + 7, 4*u + 5*y - 22 = 3*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 424859159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4*g + 8. Let k be d(-7). Let v = k + 16. Suppose -5*s = -v*s - 140. Calculate the lowest common multiple of s and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**2 + 308757*w - 203328 with respect to w.\nAnswer: -6*w + 308757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 880?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {c: 2, n: 3, z: 2, h: 4, u: 3, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**4 - 28*b**3 + 7*b - 5471.\nAnswer: -8*b**3 - 84*b**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*24\/((-1320)\/(-121))*(-2)\/6\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1591 divide 28365939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3. Let y(q) = -24*q**3 + q**2 - 16. Determine -2*x(k) - y(k).\nAnswer: 22*k**3 - k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/1)\/(-5*(-2)\/10). Let j(b) = 29*b**2 + 9*b - 23. Is j(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 48. Let x be d(15). Sort x, 3, -4, 8 in descending order.\nAnswer: 8, 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.757307696 to 2 decimal places.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + w + 75, t + 4*w - 324 = -3*t. Calculate the least common multiple of 6 and t.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d**2 + 52*d**2 - 72*d**2 - 69*d**2 + 141*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 5:04 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2e8f?\nAnswer: -2e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214446 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6409 is divided by 355.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17007, 68022, 153047, 272082?\n\"Answer: 17005*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alaa when four letters picked without replacement from {l: 1, z: 4, a: 3, b: 6, d: 2}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**0)*l)\/(l**28*l)*l*l**(-15)*l**(-27) assuming l is positive.\nAnswer: l**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76a + -58?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwi when three letters picked without replacement from {q: 3, w: 1, i: 2, p: 1, o: 3}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 25*y - 22*y + 352 = 0, 0 = -t - 5*y + 176. Solve -68*h = -112*h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8057 divided by 11582\nAnswer: 8057\/11582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty sevenths of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**4\/8 - 5*d**2. Let p(m) = -5*m. Give u(p(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -7, 0, 11, 26, 45?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-6)))*o**(2\/5))\/(o*o**(-1\/8)*o*o**(1\/14)))**(-19) assuming o is positive.\nAnswer: o**(-29013\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 17, -14, -65, -142, -251, -398, -589?\n\"Answer: -c**3 - c**2 - 7*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 7*k**2 - 9 + 12 to the form q + f*k**2 + g*k and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 15 = 3*s. Suppose u = 2*u - s. Find the second derivative of 19*g**3 - u*g + 15*g**4 - 4*g**4 - 19*g**3 wrt g.\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2468*s + 2463*s = -22640. Calculate the greatest common divisor of 64 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1625*-19.\nAnswer: -30875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2538285*d**2*i*v - 90*d**2*i + 2*d**2 - 12*d*i - 6*d - 4 wrt v?\nAnswer: 2538285*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggll. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 141485.93 * -7\nAnswer: -990401.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*x + 2068828 = 2070892 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 35. Let d(l) = -6*l - 42. Let j be d(s). Let z = j + 44. Solve 5*c - 4*y = z, -4*y + 2*y + 10 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846979470 to the power of 1\/2, to the nearest integer?\nAnswer: 29103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:56 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 4, v: 1, f: 1}. What is prob of sequence vyf?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281 - -339. Let b(t) = -t + 16. What is the remainder when s is divided by b(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -25*i - 37*i - 226*i - 23 + 36*i. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.02 - 0.02. What is the second smallest value in -0.3, j, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001059447 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*l + 16, 2*l + 2*a + 16 = -2*l. Let u be l\/2*(8\/(-6) + -2). Solve 0*y = -y + u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s\/(s**2\/s*s)))\/s*s*s)**(-5\/9)*s**4*s**(1\/11))**(-3))**(-3\/20) assuming s is positive.\nAnswer: s**(37\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - -0.09. Let l = 23 - 32. Let b = -10 - l. Sort -0.4, b, i in decreasing order.\nAnswer: i, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 1, i: 1, y: 1, u: 1, w: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2 - 13 = 3*v, -4*v + 20 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 9 - 9*g**3 - 2.\nAnswer: -11*g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzzzzzbzzbzbzbzz. What is prob of sequence bb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8 - 22 + 8*l + 2 - l**2 + 6. Let c(u) = -3*u**3 + 12*u**2 - 7*u + 2. Let v be c(3). What is z(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**2\/x))\/x**(2\/5)*(x\/(x\/x**(2\/7)))**(-3\/7)*(x*x**0*x\/x**(-2))\/(x**(6\/11)\/((x*((x**(-4)\/x)\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-10963\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 703, 1522, 2653, 4090?\nAnswer: 5827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 2 + -3)*3. Solve 2 = -c*a + 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + o + 2, -2*x + 6 = -3*o + 2*o. Let u(q) = -q + x - 1. Let k = 11 + -16. Give u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9447\/488095)\/((-6)\/20).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262939*n*w**2 - n*w + 6*n + 4754*w wrt w?\nAnswer: 525878*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 81*r - 973. What is m(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 227 + f**2 - 445 + 3*f**3 + f**2 + 2*f + 232 to the form o*f**2 + x*f**3 + u*f + g and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(63\/(-3))*(-1)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**2\/2 - 2. Let x(q) be the first derivative of -2*q**3\/3 + 1. Give x(u(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160829 by -1031.\nAnswer: -160829\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 + -2.33. Let r = -0.1 - 0.4. Let j = 0.4 + r. Which is the closest to j? (a) 3\/5 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11921123 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 24. Let g be i(-4). Let a = -0.1 + 1.1. What is the nearest to a in g, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.36132 years to centuries.\nAnswer: 0.0736132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28176 - 16793. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 5. Let v be d(-6). Suppose -v*c = 5*k - 30, -4*c - 4*k + 26 = k. What is m in -m**4 + m**4 - 2*m**4 - m**3 + m**c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p\/p**(-3))))\/p**(1\/8))**29)**(-9) assuming p is positive.\nAnswer: p**(-8091\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4416 or -4413?\nAnswer: -4416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 23*t**2 - 4*t + 1. Let q be c(1). Let j be (-8)\/q*10\/(-18). Factor -2\/3 - j*p**2 - 8\/9*p.\nAnswer: -2*(p + 1)*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -149, 0, -17, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, -2, -17, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -20. Let w be s + 3 - (3 + -5). Suppose -2*u - t + 98 = -2*t, 0 = -5*u + w*t + 248. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1066197?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*n**3*s - 35375786*n**3 + n**2*s - 3*n*s - 35198*s wrt s.\nAnswer: 22*n**3 + n**2 - 3*n - 35198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672 + 674 + 224914*z - 224804*z.\nAnswer: 110*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/((-394)\/200 - -2). Is r bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, l: 3}. What is prob of picking 2 f and 1 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g*g*g**9*g)\/((g*g*g*g**(-2\/5))\/g*g)*(g*(g**(-1\/2)\/g)\/g)**44 assuming g is positive.\nAnswer: g**(-263\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o + 199*o + 10*o - 232*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5845.56 plus 9018?\nAnswer: 14863.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-390))\/(30\/(-100))*9\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114819255 to the power of 1\/3, to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 5?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1304 and 228.\nAnswer: 74328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 640?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/90 + m**5\/30 - m**4\/18 - 2*m**2. Factor v(l).\nAnswer: 2*l*(l + 2)*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (sqrt(30) - 1*sqrt(3630)))\/sqrt(6).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/3, -1\/4, 1\/11, -52 in descending order.\nAnswer: 1\/3, 1\/11, -1\/4, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 0*m + m)*(10*m**2 + 8*m - 8*m) to the form l*m + g*m**2 + x*m**3 + h and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2741 or -2684?\nAnswer: -2684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -152*v**3 + 56*v. Let g(y) = 8*y**3 - 3*y. What is -3*a(d) - 56*g(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phthphhtphpth. Give prob of sequence ppp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*p - 112 - 155, 2*q - 5*p - 143 = 0. Suppose g = -2*g + q. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 + 8*u - 10. Let n be j(6). Let o(r) = 0 + 1 - n + 59*r - 56*r. Calculate o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + -2 - -4*(sqrt(5) + 0).\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332204 is divided by 1457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1340\/90 - 7) + 2\/18. Solve -q + 2 = u*k - 5*k, 4*k - 8 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/35*(-2100)\/280?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k, -3*k - 14 = 4*f - k. Suppose -39 = 2*p + 3*j, -52 = 3*p - 7*j + 5*j. Let g = f - p. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-88512)\/(-40) - 2\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.26 + -10.01. What is the closest to 14 in 0.1, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -19*a + 43. Let l(p) = 9*p - 22. Let v(k) = 6*g(k) + 13*l(k). Let m be v(11). Solve y - 4 = -m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2616931439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + 9\/(-2). Let s be (n - -7)\/(2\/4). What is the third derivative of 39*j**4 - 6*j**s + 18*j**2 + 5*j**4 wrt j?\nAnswer: 912*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*l - 1, 2*l + c = 9 - 8. Let h(q) = -7*q + 2. Calculate h(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 2 - 1)*(1 - 1 + 2) + 0 + 0 + 1)*(2 + v + 1 - 4 - 17 + 17 + 11*v + (2 - 1 + 0)*(1 - v - 1)) to the form i + p*v and give p.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, -3, -5, 77.\nAnswer: -5, -3, -1, 41, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 39 = 0. Suppose -3*d + g = -4*h, -h - d = h + 9. Let u be h*3\/6*1. Sort u, 2\/13, -4.\nAnswer: -4, u, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246680*q**3 + 246625*q**3 - 493187*q**3.\nAnswer: 118*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -43*g + 10. Give p(4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102001201 + 20112222?\nAnswer: 122121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22653622.\nAnswer: 2, 17, 31, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*k + 3*k. Let g be (k + 0)\/(-2 - 2). Suppose g = 6*d + 31 - 901. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 2*l**2 - 9*l**2 + (-2 + 2*l + 2)*(l - 3*l - l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*z - 3*z. Let h be (-6)\/21 - (-32)\/z. Let d(k) = -k**2 + 2*k + 18. Let r be d(-3). Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2477 - 12651 = -u, u + 2*r - 10176 = 0. Is 42 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 241328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5)*y*y)\/y)**32\/(y**(14\/9)*y\/(y\/(y\/(y*y**(-8\/7)*y))*y)) assuming y is positive.\nAnswer: y**(15908\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(3\/2)*r)**4)**26 assuming r is positive.\nAnswer: r**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/6)\/(3\/6). Let r = 12 - 14. Which is the closest to x? (a) 1 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150952?\nAnswer: 2, 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5854.\nAnswer: 2, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -16*(-20)\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b, -4*m + 0*b = 4*b - 232. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 + 16*x**2 + 10*x - 100 = 0. Calculate x.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 4, -1\/9 in increasing order.\nAnswer: -1\/9, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693306597.\nAnswer: 3, 17, 41, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z**3 - 4 + 4 + (3 - 5 + 4)*(0*z**3 + 0*z**3 - 8*z**3) + z**3 + 0*z**3 - 3*z**3.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 910. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001555709 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 4104?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 105*o - 1549. Determine i(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6 + 24*m**4 + 1358*m**3 + 61*m**2 - 2587*m wrt m?\nAnswer: 360*m**3 + 576*m + 8148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37952 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.04 (b) -4 (c) 0.16 (d) -1 (e) -3 (f) -180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 230079.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17655, 17660, 17667, 17676, 17687?\nAnswer: 17700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 6558?\nAnswer: 6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnddddnnnddd. What is prob of picking 1 n and 1 d?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-1) - (-1 + -1). Let l = 0 - i. Solve 0 + 3 = l*p - 3*r, 5*p = -r + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2806 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29153994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -56. Let z = -26 - f. What is the remainder when 42 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 - 321. What is the remainder when w is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -241, -252, -271, -298, -333?\n\"Answer: -4*h**2 + h - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -81, -49, 7, 93?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(156) - (sqrt(156) + sqrt(156)*-4)))\/(sqrt(588) - -3*sqrt(588) - sqrt(12)).\nAnswer: -8*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -7449\nAnswer: 365001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 480.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3936*h**2. Let p(u) be the first derivative of -u**2 + 5529. What is i(p(y))?\nAnswer: 15744*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 1.447, 26\/16905?\nAnswer: 1.447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 20. Let a be ((-7 - b) + 0)\/((-2)\/18). What is the highest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l*l\/l**1)**(-1\/23) assuming l is positive.\nAnswer: l**(-5\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + (-6 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61768 and 7364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -49. Suppose 5*h + a = 5. Suppose h = -16*g + 14*g + 1778. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let k(b) = 63*b**2 + 61*b**2 + 65*b**2 - 188*b**2 - b + 2. Give k(f) - 3*s(f).\nAnswer: 4*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1917*i**3*k**2 + 2734*i**2*k**2 + 116559*i*k**2 - 41*i*k + i wrt i.\nAnswer: -11502*i*k**2 + 5468*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8743054 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: Let b = -77.26 + 77.2600013334. Round b to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**3\/3 + m**2 + 2*m - 25. Calculate b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r - 8. Let k be ((-3)\/2)\/(2\/(-40)). Suppose -k + r = 5*h. Sort 2\/3, 5, h.\nAnswer: h, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 231026 + -231185. Suppose 0*z = 3*z + 477. Is y at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lilvi. Give prob of sequence iilv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10446 - -31339\/3. Let v = 169.99 - 169. Let l = v - -0.01. What is the closest to j in 4, l, 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68113197 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: Let q be (-22)\/(4 - (-2 + 4)). Let m(x) = -5*x - 3. Let l be m(-4). Let s = q + l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n + 1. Let x(d) = 0 - 3*d**2 - 34372*d + 34370*d + 3 + 7*d**3 - 1. Determine -2*i(s) + x(s).\nAnswer: 7*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2264831198 to six dps.\nAnswer: 0.226483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**2 + 0*y**2 + 2*y**2 - 4*y**2 - 7*y**5 wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - i**2 - 4*i**2 + 5*i**2. Let q(m) = 18*m + 5. Let d(p) = 16*p + 6. Let u(n) = -5*d(n) + 6*q(n). Determine u(t(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-39)*(13\/(-2) + 5)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7717, -18568, -36653, -61972, -94525, -134312, -181333?\nAnswer: -235588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7176 smaller than -7207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - 4*r**2 - 54 + 53 + 5*r. Let q be u(-5). Calculate the least common multiple of 1 and 4 - ((0 - 2) + q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93017.977 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-2*5)\/(sqrt(1296) + (sqrt(1296) - sqrt(1296)*2) + sqrt(9) + sqrt(225)*2 + sqrt(225)) + -4)**2.\nAnswer: 25*sqrt(2) + 1137\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)*b*b\/(b\/(b*b**(2\/3))*b)*b*b**(-4\/3)*b*b*b\/b**(-2\/5)*b*b*b)\/((b**(-2)\/b)**(-45)\/(b\/(b\/(b\/(b\/b**(-2)))))**(-36)) assuming b is positive.\nAnswer: b**(-5788\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 5, -2, 21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j**2 + j + (-63*j + 24*j - 41*j)*(-5 + 5 - j).\nAnswer: 82*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830031603 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-577 + 245*g + 577 + (-g + 4*g - 2*g)*(1 - 6 + 2))*(4 + 0 - 2) to k*g + c and give k.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112862?\nAnswer: 2, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3740486cm in meters?\nAnswer: 0.003740486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/4)\/((8\/2)\/(-64))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374923 or -374924?\nAnswer: -374924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.9 minus -5?\nAnswer: -160.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*m**3*p**5 - m**3*p**4 + 4*m**3*p + 4*m*p - 4 wrt p?\nAnswer: 3440*m**3*p**3 - 12*m**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 2*j + 2*j)*(4 + 1 - 3 + j)*(-10 + 2 + 1)*((-j - j + 3*j)*(0*j**2 - 2*j**2 + 4*j**2) - j**3 + 166*j**3 + 24*j**3).\nAnswer: 2674*j**5 + 5348*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wklkwkk. Give prob of sequence lwk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15964*b**2 - 111534 + 111534.\nAnswer: -15964*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37577955 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, -7, -4, -0.3, 1\/6, -6?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(1\/(1\/(-10))))\/(549\/915)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -42. Solve 11 + 4 = q*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 402 - 404.95. Let a = w - -1.35. Is a not equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**8\/8960 + f**7\/3360 + f**6\/480 + 19*f**4\/12 + 23*f. Let o(s) be the third derivative of b(s). Factor o(k).\nAnswer: -3*k*(k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 10*z + 25. Calculate the lowest common multiple of z and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(108\/(-504))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let l(r) = -r**2 + 4*r - 1. Give -l(g) + 3*y(g).\nAnswer: g**2 - 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -293. What is the remainder when 175 is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i - 1)*(-16 + 16 - 5*i) - 35*i**2 + 13*i**2 - 10*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 730*z - 16065 = 0. Calculate z.\nAnswer: 27, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 + 3 = -5*h, 0 = -5*k + h - 11. Let w be k\/6 - (-79)\/2. Calculate the highest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -1 - (968 - 936)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690621 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29282 - 29306 = 2*o, -8 = -5*v - 5*o - 78 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d**2 + 4*d - 6. Let y = -12 - -7. Let a be r(y). Let s = a - 155. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2264*v + 546*v - 18898 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682 divided by -5.\nAnswer: -682\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 5.5. Let n = -10 + 11. Let k = 0 + n. What is the nearest to -2 in k, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -28 - (-2 + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-21)*(-63)\/(-54)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6681 - -6680.6. What is the biggest value in 0, 1, 58, 0.3, r?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011011011 + 11010?\nAnswer: 1100011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + s = 2*x + 2605, 4*x + 2*s = 3476. Let p = x + -479. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 10 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (3\/36)\/(17 - 59391\/3492)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43866687.\nAnswer: 3, 19, 769591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136360, 136210, 136064, 135922?\nAnswer: 135784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-5 + 636\/9). Suppose 14*h + 1 = c. Solve 4*d - d = -4*q + 16, -h = -4*d + 2*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8118100 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-704)\/(-970200)*-25*(-3)\/4?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1195 - ((-25)\/(-20))\/(6\/(-24)). Let l be 1625*(d\/(-35))\/(2\/(-2156)). Round l to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23698287?\nAnswer: 3, 41, 64223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 189, 220, 283, 390, 553, 784?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i + 26. Suppose 5*z + 2*l = 20, 0 = 4*l - 0 + 20. Let d be r(z). Let p = d - 95. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(704) + -1) + (2 + sqrt(704) + 1*sqrt(704) + sqrt(704) + sqrt(704) - sqrt(704)) + 3 + (sqrt(704) - 1*sqrt(704)) + 4))**2*2.\nAnswer: 17920*sqrt(11) + 1104672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 3. Let p = 5.75 + j. Let q = 0.14 + p. Round q to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 2. Let g(a) = 58*a - 31. Let i(f) = 54*f - 29. Let b(o) = -12*g(o) + 13*i(o). What is -4*b(v) + 11*l(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 2*x = 94, 45 = -2*d + 3*x. Let b be (-13)\/(-3) + (-4)\/d*4. Find the common denominator of 109\/6 and (2\/b)\/(8\/(-365)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 14*z**2 - 43*z + 28. Let c = -250 - -220. Let y(w) = w**2 - 1. Let l(n) = c*y(n) - 5*t(n). Suppose l(x) = 0. Calculate x.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -111?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/172 and 125\/8240176.\nAnswer: 8240176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Let z = t + -9. Let p be (52\/(-8))\/(2\/z). What is the highest common factor of p and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/3 + 12 = 0 for f.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004 divided by 1001?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.04 + -1.66. Let r = o + 8. What is the smallest value in 2, r, 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10*a - 15 = 0. Let q(r) = -r**3 + 5*r**2 - 3*r + 1. Let h be q(4). Suppose -5*l + h = -u, -5*u = 3*l - 0 - 3. Sort l, -5, a in ascending order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/15355 and 15\/11.\nAnswer: 168905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmsx when four letters picked without replacement from {x: 6, m: 2, s: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1689 (base 13) to base 12\nAnswer: 1b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 199\/7 (b) -2\/13 (c) -2387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58\/31 (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 4*g, 0 = -2*g + 8. What is the highest common divisor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 1. Let m(i) be the second derivative of i**4\/12 + i**3\/6 + 3*i**2\/2 - 17*i. Calculate -h(p) + m(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*o + 126. Let g(f) = -2*f. Calculate the remainder when o is divided by g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*a - 2 - a**4 + 4*a**2 + 15*a**2 - 35*a to the form q*a**2 + w + j*a**4 + v*a**3 + n*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*h + 3*y + y, 48 = -4*h + 4*y. Let u(z) = -4*z**2 + 13*z + 4. Suppose -4*s - s + 10 = 0. Let q(x) = -x**2 + 4*x + 1. Give h*q(j) + s*u(j).\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9040821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-4))*g*g**(-3\/2) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (704\/(-2640))\/((-32)\/(-220)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 divided by 4.\nAnswer: 179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 9*o + 11. Let d be k(8). Suppose 0*p + 81 = d*p. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(4*(-2)\/(-8) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 289707 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 6*b = -2*a - 902, -5*b = 5*a + 2230. Let r = a + 1342\/3. What is the third smallest value in -2\/7, -0.5, r, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 550 = 10*w, 3*q - 15*w = q - 14*w - 60 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, 4, 114, 350, 754, 1368, 2234?\n\"Answer: 7*q**3 - 23*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*-15*(-12)\/120. Solve k*w - 38 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c - 4. Let t be ((-4)\/(-12))\/((-3)\/(-54)). Let v be s(t). Factor -1\/2 - 1\/2*k**v + k.\nAnswer: -(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5355 * -0.4.\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 82\/8. Let x(y) = 2*y - 3. What are the prime factors of x(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(468\/8) - (1 - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-7))\/((-8)\/(-56)). Let w be (6\/21)\/(4\/h). Let i = 16 - 18. Are i and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*h**2*o**3 + 34*h**2*o**2 + 154*h**2 - 4*h*o**3 - h*o**2 + h + 4*o**4 + 711*o**3 + 1 wrt o.\nAnswer: -186*h**2 - 24*h + 96*o + 4266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfdigdjjggifggj. Give prob of sequence gd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -14. Let r = -10 + v. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535901010 to the power of 1\/2, to the nearest integer?\nAnswer: 50358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 690\/(-2898) + -2*(-3)\/(-63)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*v - 1756, -9*v = -4*v + 5*g - 2960. Calculate the remainder when v is divided by 289.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 6.09\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -177973.55.\nAnswer: 889867.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 times 6?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81594190?\nAnswer: 2, 5, 8159419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 109 = 24*l. Suppose -3*m = -k + 39, 103 = 2*k - 2*m + m. Let b = l - k. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78524531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h**2 + 92*h**2 + 26*h**2)*(h + 38 - 2*h + 7).\nAnswer: -104*h**3 + 4680*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 1. Let g(w) = -w**2. Calculate i(g(d)).\nAnswer: 5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-3)\/(-6)). Calculate the common denominator of 71\/10 and 68\/48 + s\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/30 + j**5\/5 + 8*j**4\/3 - 32*j**3 - 1089*j**2. Find x, given that m(x) = 0.\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-10 + -20)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -271, 8 in decreasing order.\nAnswer: 8, 6, -3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6169*a + 2 = z + 6170*a, -4 = 2*a. Let y(t) = -t**3 + 3*t**2 + 12*t - 41. Calculate y(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/9)*(u*u*u**8)\/u)\/(((u*u\/u**(-2\/17)*u)\/u*u)\/(u\/(u\/(u*u**14)))) assuming u is positive.\nAnswer: u**(3059\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(325))**2 + -3 + (-1*sqrt(208) - sqrt(208))**2*-2 + 0 + 3.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2 (c) 1 (d) 0.155 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -281*c - 266. Let o be z(-1). Let l(x) = -4*x + 48. Give l(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {c: 8, b: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451241 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5635506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1 + 0)*-1. Suppose 5*w + q = -3*p, -5*w - p = -5*p - 26. Suppose s = -4, 5*m + w*s - 4 = 4*m. What is the remainder when 69 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from fkkjfkkuukgkkkkug.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -3*z. What is the second derivative of -f**5 + 488*f - 454*f + z*f**5 wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*j + 106, 3*i + 166 = -2*j - 82. Let f = -675 - -588. Is i less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 13. Let g be 765\/60 - 6\/q. Let j(m) = 4*m**2 + 10*m - 15. Is j(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202, 195, 176, 139, 78, -13?\n\"Answer: -c**3 + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -292 and 0.0532.\nAnswer: -291.9468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y + 11. Let d(w) = 7*w + 12. Let j(h) = 4*d(h) - 5*v(h). Suppose 4*z = z - 18. Is j(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y**2 - 5*y)*(35*y + 19 - 19).\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 46461*k**2. Let m(i) = 7*i**2. Give m(v(r)).\nAnswer: 15110371647*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19040449 and 13?\nAnswer: 247525837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 o when four letters picked without replacement from {o: 9, g: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82.17 + 3.97. Let g = 78 + t. Let z = 0.3 + -0.3. Which is the closest to z? (a) g (b) 0.3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5009, 7634, 20275, 32914, 45551, 58186, 70819?\n\"Answer: -a**2 + 12646*a - 17654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55\/2 - 821\/30. Which is the nearest to -1? (a) -5 (b) 2 (c) -2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1486 times 233\nAnswer: 346238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 10, 30, 68, 130?\n\"Answer: y**3 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222240 (base 6) to base 11.\nAnswer: -13035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2 - 10. Let i(t) = -32*t**3 + t**2 + 2*t + 1. Let c be i(-1). Suppose -5*z + 3*z + 2*b = -c, 3*b = h*z - 30. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2 = -2*t. Let r(i) = 2*i. Suppose -2*q + 6*q - h = -1, h + 1 = 2*q. Let f be r(q). Put f, t, 0 in ascending order.\nAnswer: f, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -1\/4*y**4 + 0 - 23*y + 0*y**3 + 27\/2*y**2. Find the first derivative of t(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 6:25 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 32 = 4*q + j, -2*q + 2*j = 14. What is the smallest value in q, 0.04, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6742*r**2. Let g(y) = -y + 164. Give g(b(v)).\nAnswer: 6742*v**2 + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 316500 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1584\/(-320) - 8\/10. Is -7 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 v when three letters picked without replacement from {m: 5, v: 2, j: 1, u: 1, z: 1, p: 5}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*(-10)\/((-140)\/(-7))*532\/(-152)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 43*v + 15. Let h be a(-22). Let j(s) = 6*s + 62. List the prime factors of j(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**2 + 7*j**2 + 5*j**2)*(-j**2 + 3*j**2 + 2*j**2) + 0 + 2*j**4 + 0 + (3*j - 4*j + 2*j)*(0*j**3 - j**3 + 0*j**3).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21516472.\nAnswer: 2, 41, 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*o = 3*o + 9, 5*i - 2*o = 14. Solve f = -0 + i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4043 + 336.8957. Let s = w + -326. Round s to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 6*r**4 + 3*r**4 + (3*r**3 + 0*r**3 - 5*r**3)*(1 - 2*r - 1) + 1042*r**2 - 1042*r**2 + 3*r**3 - 9*r**4 - 5*r.\nAnswer: -6*r**4 + 3*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 420123, 420116, 420117, 420132, 420167?\n\"Answer: v**3 - 2*v**2 - 8*v + 420132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. Let a = 19 - -11. Let y be 1\/((-3)\/a*b). Sort -2, y, -1 in descending order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47004805 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 414 = 31*v + 26*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f = 46*f + 180. Let a(z) = -40*z**2 - f*z**2 + 80*z**2. Let k(l) = 2*l**2. Give a(k(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23536?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a = 7963 - 11131 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -61, -97, -135, -175, -217, -261?\n\"Answer: -u**2 - 31*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447 + 466. Suppose q*h = -52*h + 142. Solve 18 = 4*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5487.91936 + -5488. Round z to 3 decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -2*t + 4, y = -t + 10. Let l(n) = -n**2 + 9*n - 8. Calculate l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, f: 1}. Give prob of sequence kn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 14396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*p = 5, 2*p = u - 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uih when three letters picked without replacement from {u: 2, i: 7, h: 1}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*o - 36 = 0, -5*o = 2*i + 26 + 2. What is the hundreds digit of 3618\/21 + i\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, k: 2, u: 3, s: 9, f: 1}. What is prob of picking 1 m and 2 s?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.26 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.52 + -67.52. Let o = w - -65.000135. Round o to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3216)\/32 + 25)*(-4)\/2 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3989355476?\nAnswer: 2, 263, 1613, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 33. Let x be r(-5). Let s be (-1 - -2)*x - 139. Let f = s - -175. What is the remainder when 97 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29138 and 65989.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2 + 118)*-1)\/(15 + (-1232)\/80). Calculate the highest common divisor of u and 34800.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (930\/25)\/((-2)\/(-10)). Suppose -3*p + 291 = -l. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 12. Let x(s) = -1. Let a(l) = q(l) - x(l). Suppose j - 66 = -5*m - 24, -4*j - 12 = 0. What is the units digit of a(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxwwwawllyuwxwu. What is prob of sequence wuxl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-325)\/520)\/((-7)\/(-60)) and -111\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1388*x + 11438. Determine k(-8).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p. Let b(r) be the third derivative of r**5\/15 - 39*r**2. Give t(b(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 9*v - 40. What is q(-16)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 25 - (11 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 60 = 0. Suppose 60*n = 56*n + d. Solve 5 + n = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1884 less than or equal to -1884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -625*p**2 + 2*p - 1. Let q be j(2). Does 13 divide q\/(-33) - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3\/46, 9\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -3*a + 45. Let o = a - -20. Find the first derivative of 5*s + 2*s**3 - o*s - 2 + 3*s**3 wrt s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - l - 1. Let p be a(-1). Let u(h) be the third derivative of -12*h**2 + 1\/120*h**6 + 0*h + 1\/8*h**4 + 1\/60*h**5 + 1\/6*h**3 + 0. Give u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8268666617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 33*c - 4. Let f be u(-34). What is the greatest common divisor of f and 2130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565 + 137*b**6 + 103*b**2 - 565 wrt b.\nAnswer: 16440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291 + 241. Let l(f) = -100*f - 5. Let o be l(-5). Let n = o + q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssmssmssmss. Give prob of sequence ss.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjujdjjdudjjjj.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2179b (base 16) to base 9.\nAnswer: 228070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/11412 and -53\/12?\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2223 = -9*b + 4428. Let i = 882 - b. What is the greatest common factor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6610375?\nAnswer: 5, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -82, -1, -38 in decreasing order.\nAnswer: -1, -5, -7, -38, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(7\/(-14)). Suppose -z*j + 2 + 13 = 0. Calculate the highest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 328\/5. Let l = -0.0433 + -2.9567. Let g(z) = -9*z - 37. Let n be g(-4). Which is the nearest to t? (a) l (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let o = -5923\/1776 + 1\/592. Let x = -0.1 + -0.1. Which is the biggest value? (a) r (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18612, 41662, 64714, 87768, 110824, 133882, 156942?\nAnswer: 180004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3*-1)\/(2\/(-1834))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 1221121110122?\nAnswer: 1221121111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616609 and 7.\nAnswer: 616609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:22 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(30)\/sqrt(5)))\/(1*sqrt(150) + sqrt(150))*4)**2 + 5.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 54483806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 106 - 106 + 44*q**2 + 22*q**2 + 6*q**2. Let y(k) = -5*k**2. Determine y(c(u)).\nAnswer: -25920*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 348 = 42*w. Let d(f) be the second derivative of -1\/3*f**w + 6*f**2 - 8*f - 4\/3*f**3 + 0. Factor d(m).\nAnswer: -4*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15\/1976 (b) -2\/5 (c) -2 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20*(369\/(-82) + (1 - -4)). Let s(f) = 1 - f**3 - f**2 + 0*f - 2*f**2 + 3*f. Let j be s(-4). What is the highest common factor of j and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 40542152?\nAnswer: -40542222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 2685\nAnswer: -8055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8723663 nanograms?\nAnswer: 0.0000000008723663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -17. Suppose 3*d + 25 = 5*d - 5*n, 0 = -4*n - j. Solve 0 = 4*z - 12, -m + z + 13 = -d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0348857841 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 3. Let u(j) = j - 3. Suppose 3*p = -0*p + 18. Let b be u(p). Let f be o(b). Solve -5*r - f = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-10)*2\/(-16)*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by 24806\nAnswer: -759\/12403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 6, u: 4, o: 1}. What is prob of picking 1 o and 2 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*q + 19 - 19 + (4 + 3 - 4)*(5*q - 4 + 4).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*d*o*r - 38273*d*r - 7973162*o*r - 2*o wrt d?\nAnswer: -61*o*r - 38273*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, -10\/13, 3\/7, 0.1, 18.\nAnswer: -10\/13, -1\/4, 0.1, 3\/7, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.226836*3\nAnswer: 3.680508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0*j - 1 = 5*j + 64, 1308119*h + 4*j + 83 = 1308116*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.384337 to 2 decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.99 + -107041.\nAnswer: -107037.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.1, -2\/39, -4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -341665.\nAnswer: -341664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = d. Suppose -7 = -2*s + d*g, -5*g = -s - g + 1. Suppose -2*z + 32 = 8. Solve -5*v + 6 = -s*k + 4*k, 0 = 2*k + 2*v - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -34689\nAnswer: -69378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*w - 80 = 803*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 80*p**2 + 392*p + 1237. What is q(-75)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5293 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2 + 3*q - 1. Let j(l) = -28*l + 10*l**2 + 5 + 24*l**2 + 14*l - 1. Let n(g) = g**2 - g + 1. Let w(b) = j(b) + 2*n(b). What is 16*f(z) + 3*w(z)?\nAnswer: -4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 35*q - 186. Let z be n(-7). Let u(l) = 6*l + 231. Let v be u(z). Let h(o) = -5*o - 4. Determine h(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -14\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 10436.48?\nAnswer: -10448.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2642 and 0.06686?\nAnswer: 0.017664412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24931\/106590 - 2\/3553. Let n = 1\/15 - u. Let s = -0.0395 + -0.9605. Which is the biggest value? (a) s (b) -4 (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 5*o - o)*(3 + 2*o - 3) + 0 + 3*o**2 + 0 + 17989*o**2 - 1861*o - 1859*o + 3720*o - 3 + 4 to d*o**2 + v*o + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -8 + -11 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 11:52 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/3 - (-308)\/8*-4. Let x be (-12)\/(-66) - (-6)\/z. Let b = 0.7 + -1.1. What is the third biggest value in x, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 5:32 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.11051 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 19*g - 9. Let l be m(-9). Suppose -n - 30 + 34 = l. Solve -3*z - n = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 at most as big as -355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*l - 3*k + 2*k - 46 = 969*l, 6*k + 46 = -2*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/4)\/(1 + (-28)\/24). Let z be 330\/a + (-1)\/(-7)*-1. Solve 0*q - z*q = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*35793.\nAnswer: -10737.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 - 32*d - 5*d**3 + 32*d + 6 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 38, 2\/19, 5, 3\/8, 3.9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(343)) + sqrt(343))**2*1 + -4.\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:08 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*u + 13, 4*p = 7*p - 5*u - 30. Suppose -4*r + 2*h + 492 = -224, p*r - 895 = 4*h. What are the prime factors of r?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgbbgbnqgp. Give prob of picking 1 b and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 1 = 0. Suppose -4*m = -x*k + 12, -6*k + 22 = -k - 2*m. Suppose 4*u + 2*j = -0*j + 138, 177 = 5*u + k*j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -61, -136, -241, -376?\n\"Answer: -15*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 1. Let u(g) = -2*g. Let a(t) = 5*h(t) - 6*u(t). Determine a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245.948 millilitres in litres?\nAnswer: 4.245948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvcevcwzvcz. Give prob of picking 2 c, 1 e, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**2 - 92*a - 88. Let u be y(26). Let c(f) = f**3 - 11*f**2 - 13*f + 11. What is c(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/30 + 11*f. Find m, given that o(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43728\/(-72)*(3\/6)\/((-2)\/(-18)). What is m rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41083*i**3 - 10298*i**2.\nAnswer: 246498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/((-2)\/4 + 153\/374). What are the prime factors of 34\/h + 15704\/22?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -46 - (11 + 9) - 14) + -49?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858*g + 854*g - 10272 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -79.5 - -79. Let p = -1 + 4. Let v = -3 + p. Which is the third smallest value? (a) v (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230393071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12029013 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*n + 1 - n**2 - 1\/3*n**3.\nAnswer: -(n - 1)*(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Suppose 4*m - 56 = -5*y, -4*m = 4*y - m - 44. What is the second derivative of -u*i**5 + 4*i + 7*i**5 - 3*i**5 - y*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/7, -4.57, 2\/7, 14\/5, -1, -5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56263832, 56263830, 56263826, 56263820, 56263812?\nAnswer: 56263802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknknnnkknnkk. Give prob of picking 3 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116546 is divided by 235?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*u**3 - 4*u - 1 + 0*u + 3*u - 231*u**3 to l*u**3 + a*u**2 + w + n*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/2 + 4*t**3\/3 + 28*t**2\/3 + 16*t\/3 - 8 = 0. What is t?\nAnswer: -2, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -454 - -451. Which is the smallest value? (a) -4\/5 (b) 0.4 (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 43 = 5*b, 0*b + b = 5*u + 26. Let l = 243 + 3. Suppose -b = t - l. What are the prime factors of t?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 56*n**3 - 36828*n**2 - 146160*n.\nAnswer: 4*n*(n - 105)*(n + 4)*(n + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -18745 - -18774. Let n(f) = f**3 + 8*f**2 + f + 6. Let m be n(-8). Let b be 10\/(-8)*8\/m. Solve -b*r = -9 + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-30)*(19 - 2244\/121).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = 0. Suppose 0 = -2*p - 4*w + 8, -2*p + 11 = -t*p + 3*w. Solve 0 = -3*r - p - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1264*k - 1264*k + 757*k**2. Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 6*b + 6. What is the lowest common multiple of o(-5) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*y - 671*y = 923*y - 494*y + 1448 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(24\/11)\/j**15 assuming j is positive.\nAnswer: j**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, 3\/2, 22.\nAnswer: -23, -1, 3\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1228 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 7*y - 1. Let t be 2\/4*90*(1 + 0). Suppose t + 15 = 10*c. What is the remainder when 18 is divided by b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y + 4*t, 0 = -4*y + t - 2*t + 11. Suppose -54 = -6*f + y*f. Suppose -8*m + 20 = -6*m. What is the smallest common multiple of m and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+202601\nAnswer: 202606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-538)\/798 + (((-132)\/(-12))\/(-594))\/(118\/(-4248)).\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpypyiykyyymnpp. What is prob of picking 2 y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627231217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/(-20)*(-6)\/(-36). Solve -n*b + 27\/8*b**3 + 0 - 21\/8*b**2 = 0 for b.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c + 228. Let s be t(-12). Solve 50 - s = o + 3*w, -2*o + 5*w + 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4907829.0093 + 4908036. Let z = m + -207. What is z rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 32173 = 5*h, -2*h - 5*l - 5720 = 7139. Let o = h - -77299\/12. Calculate the common denominator of o and 69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1129000 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450)*2 - sqrt(450)))*1)\/(sqrt(66)\/(-1*sqrt(1331) - sqrt(11))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/77 (b) -12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64)\/(-6) + -7)\/(1\/3). Solve -v = -4*w - 0*v + m, w = 3*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/8 + o**3\/2 + 4*o**2. Let t(q) = 6*q + 5. Let c(f) = 5*l(f) - 3*t(f). Let r(i) = -20*i. What is c(r(d))?\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*80\/(-450).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(5 + -9 - (-8)\/3). Let t = 0.43 + -0.03. Which is the second smallest value? (a) x (b) t (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(4\/7))\/r*r*r**(4\/5))\/((r\/((r**3*r*r)\/r))\/r**(-4)) assuming r is positive.\nAnswer: r**(43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/105)\/(-8))\/(7\/(-49)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.93333 milligrams in micrograms?\nAnswer: 82933.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjd when three letters picked without replacement from jjadvawvvvjvwv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -400*m + 15. Let s(t) = 801*t - 38. Give 5*g(v) + 2*s(v).\nAnswer: -398*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s**2 - 309*s + 7. What is z(-13)?\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2 + sqrt(343) + 4)**2 - (sqrt(6300) + 0 + -3)) + -5.\nAnswer: 150*sqrt(7) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 0*b + 4*b - 3*b + b in the form p + o*b and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 5, v: 6, y: 1}. What is prob of sequence uxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -14 + (581 - (-8)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2 - 9*w + 7. What is the units digit of q(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -7*b**6\/120 - b**5\/30 - b**4\/24 + 3*b**2. What are the prime factors of v(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let -11*z**4 - 4*z + 2*z**4 - 12*z**3 - 12*z**3 - 4*z - 22*z**d - 1 = 0. Calculate z.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 - 2724*l**3 + 2525112*l**2 - 408641920*l + 807205248 = 0.\nAnswer: -1251, 2, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 24*t - 216.\nAnswer: 2*(t - 18)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5053 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853 + 853. Solve -u + 2*i - 3 = r, -15 - 12 = -5*u - 4*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 47*u**3 + 25*u**2 + 8*u + 5. Let m(h) = 70*h**3 + 41*h**2 + 13*h + 7. Let y(t) = 7*c(t) - 5*m(t). Determine b so that y(b) = 0.\nAnswer: -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -18*r - 24. Let o(f) = 15*f + 13. What is 3*g(b) + 5*o(b)?\nAnswer: 21*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s + 103*s - 120 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spomvpsoopsssssp. Give prob of picking 2 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2*1\/(-4)). Suppose -r + 4*q - 24 = -5*r, r + 5*q = -10. Solve m + r = 4*b + b, 4*b = -2*m + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**4 + 18*n**2 + 1\/10*n**5 + 0 + 0*n + 13\/120*n**6 + 0*n**3. What is the third derivative of u(w) wrt w?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z**2 - 1 + 17*z**2 - 11*z - 27*z**2 to s*z**2 + n*z + h and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 1430 = -107*y - 160, 2*y = 3*j + 2 - 44 + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 8*t + 10. Let g be a(7). Suppose -2*w + g*w + 45 = 2*b, -4*w - 20 = 0. Calculate the remainder when 37 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10627166309 rounded to the nearest 1000000?\nAnswer: -10627000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1912*b - 2 - 1912*b + 1 - 130*b**2.\nAnswer: -130*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 13*d. Determine g(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.633 - 0.053. Let n = g - 0.18. Let q = 5.15 + -0.15. Sort 4, n, q.\nAnswer: n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71*l**3 - 570352*l - 47014692 wrt l?\nAnswer: -213*l**2 - 570352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5 = 2*d + 3*l, -3 = -3*l. Suppose -5*s = -4*h + 6, h = -h - 2*s + 12. Suppose h*t - 9 = -3*x + 6, -5*t - 10 = -d*x. Which is greater: 1\/8 or t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b - 99*b**3 - 89*b**3 + (0 + 3*b + 0)*(-3*b - b**2 + 3*b).\nAnswer: -191*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose -j = -n*j + 8. Calculate the common denominator of 93\/4 and 234\/(-8)*j\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 7*i - 6. Let w be r(7). Let j(a) = 4*a + 7. Let t(z) = -11*z - 22. Let n(s) = -8*j(s) - 3*t(s). Let m be n(w). Is 3 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -63\/63241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9753, -9755, -9757?\nAnswer: -9759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1905989*-24.\nAnswer: 4.5743736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 1.73680459?\nAnswer: -12.73680459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -7*z + 6. Let w(l) = l**3 + 3*l**2 + 2*l - 1. Give w(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9372725, 9372727, 9372729, 9372731?\n\"Answer: 2*d + 9372723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205839328 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*w + 82*w - 1378 + 2684 - 1355 to v*w + j and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0527 + 0.0293. Round v to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 2. Let t(l) = -677499*l**2 - 7*l + 16. Let w(v) = -h(v) + t(v). Let f be w(2). What is f rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2439)\/2168*24\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*w = -253*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -328, -1325, -2988, -5317, -8312?\n\"Answer: -333*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:01 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 340759*x + 2726030. Give o(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 7664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1111*c. Let r(s) = -193380*s**2 + 386763*s**2 - 193375*s**2. What is n(r(d))?\nAnswer: -8888*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -373738?\nAnswer: 373720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6905807338 + -0.1\nAnswer: 6905807337.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1387, -1557, -1727?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 81*x**2. Let z(j) = -4209*j**2. Give 207*c(s) + 4*z(s).\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 97 = -z + 100, -5*z + 5*j - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from fywhhmhhyhyhbff.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = -128*p + 116*p. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1344 and 2408.\nAnswer: 57792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/18 - (245\/(-126) - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 879*q\/5 - 882\/5.\nAnswer: 3*(q - 1)*(q + 294)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 35 (b) 56 (c) 12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.3 and 1.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71213?\nAnswer: 17, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/(-18) - 4\/18. Let o = -38472 + 38475. What is the biggest value in -48, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1506*l - 294. What are the prime factors of n(-7)?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8851, -17644, -26331, -34858, -43171?\n\"Answer: 9*o**3 - o**2 - 8853*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 70 = -5*n + f, 4*f - 40 = -2*n. Suppose 0 = -5*m + j + n, -7*j + 3*j = -2*m + 22. Let l be (6\/(-22))\/(3\/(-2)). Put -0.1, l, m in increasing order.\nAnswer: -0.1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 2. Suppose 0 = 3*i - 0*i + 3*f - 93, 5*f + 97 = h*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6191?\nAnswer: 5\/6191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/150 - 123*u**4\/20 + 742*u**3\/15 - 3447*u**2. Solve h(p) = 0.\nAnswer: -371, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(3094\/(-1144)) - 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -687.9?\nAnswer: 687.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 891498 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(468) - sqrt(468) - sqrt(468))**2 - 1*sqrt(13)*-6)*-6.\nAnswer: -44928 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102460 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2111 - -4?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 651 + -114?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 35. Calculate q(-16).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(133))\/((sqrt(7) - (sqrt(315)\/sqrt(9))\/sqrt(5)) + sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**2 + 9*f**3 + 16*f**2 - 30*f**2.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -16.1. Let s = 2 + b. Let r = s + -0.2. What is the third smallest value in 1, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-30))\/((-9)\/(-5)). Which is the second biggest value? (a) j (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159 and 24?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 5 + 4)*(-2 - 1 - 2) - 1 - 2 + 6 + (-1 - 3 + 3)*(4 + 0 - 3) - 7 + 2 + 3)*(-3*s + s + 0*s) to f + a*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (sqrt(228) + -2*sqrt(228))\/sqrt(12) + sqrt(19)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 1351?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -673*n*r**3 + 5*n + 203*r**3 + 19*r**2 wrt n.\nAnswer: -673*r**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111655 + 111681.3055. Let z = p + -79.31. Let o = -53 - z. Round o 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 fth term of -1020, -1036, -1052, -1062, -1060, -1040, -996?\n\"Answer: f**3 - 6*f**2 - 5*f - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23110.\nAnswer: 2, 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 + 11*j - 18. Suppose 67*i - 24 = 71*i. Does 12 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -52.3. Let x = -4.3 - z. Put -4, x, 2\/3 in increasing order.\nAnswer: -4, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/4, -3, 0, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 - (-11 - -5 - (-14 - ((-14 - 8) + 20))).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 43923*r**4 - 133221*r**3 + 4368*r**2 - 36*r = 0.\nAnswer: 0, 2\/121, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 + 567*j + 40260 = 0.\nAnswer: -55, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose 2*z = -g*v - 3*z + 8, 0 = -2*v - 5*z + 7. Put -1, v, 5 in descending order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l - 1 + 1 - 7 + 1. Let m be o(6). Suppose 16 = -y + 5*y, -3*y = 2*j - m. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -4, -9.\nAnswer: -16, -9, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-8 + (-2 - -17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179, -154, -115, -56, 29, 146, 301, 500?\n\"Answer: l**3 + l**2 + 15*l - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38040199 to three decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 19 = 3*n + 37, 5*n + 30 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2223 + -110?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2564681678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -1, 1, 3.\nAnswer: -1, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -2\/3*r**3 + 2\/3*r**4 - 4*r**2 - 6*r + 1\/5*r**5 - 19. Let x(h) be the first derivative of b(h). Factor x(y).\nAnswer: 4*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -506*a**3 - 12*a**2 + 6*a - 1753. Let o(k) = k**3 + 4*k**2 - 2*k + 1. Let i(x) = 3*o(x) + t(x). Differentiate i(d) with respect to d.\nAnswer: -1509*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-198)*26)\/((-24)\/(-19827)). Let y = -651 + l. Is y > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (117\/(-12))\/((-9)\/24). Let f be 1322\/z + 34\/221. Suppose 0 = -7*l - f + 471. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622961291.\nAnswer: 1579, 394529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, b: 2, c: 1, l: 1, v: 2}. Give prob of picking 1 b, 1 v, and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -205. Let r = -67 + i. Let a = 56 - r. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let j(d) = d**3 - 3*d - 2. Let t be j(z). Let r(o) be the third derivative of -o**4\/24 - 5*o**3\/6 - 152*o**2 + 8*o - 5. Calculate r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*m = -19, m = 275*x - 274*x - 7. Let d = 2 - -2. What is the third derivative of -h**4 + h**d + 0*h**4 - h**5 - x*h**2 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128381 by 17.\nAnswer: 128381\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10986 divided by -1831.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -13*b**3 + b**2 - 2*b + 1522. Let r(k) = -2262*k**2 + 117*k - 117. What is -117*a(h) + 2*r(h)?\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25823566*t**2 - 134*t + 15964?\nAnswer: 51647132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bey. Give prob of sequence be.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24791589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.62 - -67.5. Let g = a - 13. Round g to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7118, -14179, -21248, -28331, -35434?\n\"Answer: -n**3 + 2*n**2 - 7060*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 45*l**2 - 25*l**2.\nAnswer: -70*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpppqppp. What is prob of picking 2 p and 1 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*v + 2816 - 2816 + (-1 - 3 - 5)*(-3 + 3 + 3*v).\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-10)\/(-2546))\/(-1)). Let u = 2921\/10 - o. Calculate the common denominator of (-8)\/(-9)*(-7)\/(-2) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - 8) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 562949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 83 + 36. Let q = h + 42. Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 16. Solve 2*o + z = 0, -4*o = -0*o + 5*z + x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52 - 8*u + 52 + (2 - 2 + 2)*(-4*u + 2*u + 3*u) + 19*u - 165 + 333 - 170.\nAnswer: 13*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 + -58. Suppose -w = -4*h + 88. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25245?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 - -3. Let g = -0.6 + a. Sort -4, g, -5 in descending order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40)\/(sqrt(968)*1))**2 - ((sqrt(40)*-2)\/sqrt(2))**2*-2.\nAnswer: 19244\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -14*f + 199. Let m be t(-7). Is 299 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 4. Let g be j(-4). Suppose 5*h - q = 195, 4*h - 162*q + 165*q - 175 = 0. Calculate the greatest common factor of g and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 18\/7, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4457*s**2 + s**3 - 4457*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 + 60*g**2 - 40*g + 123. Is r(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 494223612*x**3 - 524118312.\nAnswer: 1482670836*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - (-12 + 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9562611 is divided by 398442.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**4 + g**3 + g - 1. Suppose -5*o = 9 + 1. Let z(x) = -3*x**4 - 11*x**3 - 11*x + 4. Let w(l) = o*z(l) - 22*n(l). Differentiate w(d) wrt d.\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 - 1*(0 - 2). Let j = 31\/3 + v. Which is the third biggest value? (a) 0.5 (b) -5\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1569*x**3 + 3*x**2 + 7*x + 4. What is the thousands digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -364, -359, -368, -397, -452?\n\"Answer: -n**3 - n**2 + 15*n - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13760?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -5.4. Which is the second biggest value? (a) x (b) -0.09 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1397520*j**4 - 66*j**3 + 3*j**2 - 567*j - 202429?\nAnswer: -16770240*j**2 - 396*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/476056 and 18\/36834833?\nAnswer: 294678664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 24*p + 28*p - 1 = 0, -4*t = -2*p + 4. Let n(l) = -4*l - 6*l**2 + 3*l + 1 - 2. Calculate n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1073*f**2*z**3 + 143*f**2 + 10*f*z**3 - 9*f - 2 wrt z?\nAnswer: 3219*f**2*z**2 + 30*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 2 n when four letters picked without replacement from {q: 1, y: 8, c: 4, n: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000273 rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from innyxxnyni.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 - 2*n**2 - 5*n**2)*(-n - 482 + 33 + 269) + n**3 - 4 + 4 to h*n**2 + r*n**3 + c + o*n and give h.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004918675 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 - 7*k**4\/12 + 5*k**3\/3 - 9*k**2\/2 + k. Let n be v(-8). Let i = 67 + n. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/50726 (b) -119 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = -5. Solve 0 = j*o - o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((700\/30)\/14*272\/34)\/(-3)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512443509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**28)**35)**7 assuming u is positive.\nAnswer: u**6860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228765.\nAnswer: 3, 5, 101, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 210 - 721. Let p = j + -69. Let x = 4 - -1. Put x, p, -4 in increasing order.\nAnswer: -4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*w + 50, -3*c + 3*w + 63 = -33. Calculate the remainder when 407 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.969 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, 3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14747*d = -14732*d - 30. Solve d*z + 4*t - 6 = 0, -101*z = -97*z + 3*t - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.8133ml in litres?\nAnswer: 0.7848133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**3 - 5*r**2 + 3*r. What is l(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -0.1, -404\/39, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 101*k + 55. What are the prime factors of u(20)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141066 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 226301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liicciillisiccl. Give prob of picking 1 s, 2 c, and 1 i.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 12.73. Let x = -13 + c. Let d = -1.8 + x. Sort d, 8, -1\/2 in decreasing order.\nAnswer: 8, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 10 = 18*n. Suppose 10*o + 31 = -19. Sort 64, n, o in decreasing order.\nAnswer: 64, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104523980 and 256558860.\nAnswer: 2822147460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34.988 * 1339\nAnswer: -46848.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*(0 + 0))\/(-2). Let l = -13 + 38\/3. Let n = -3\/79 + 173\/395. Put l, s, n in ascending order.\nAnswer: l, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:02 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 0, -y - 4*i - 9 - 5 = 0. Let z be 2\/((-12)\/(-9))*y. Suppose z*h = 2*h. Let a(p) = -p**3 - p**2 + p - 9. Determine a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by (-9 + 429\/52)*(-312)\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 - 425360*t**3\/11 - 3017254*t**2 - 96591832*t\/11 - 63827400\/11 = 0.\nAnswer: -75, -2, -1, 212758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4348228 divided by 1?\nAnswer: -4348228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8413 - -7461.2. Let p = n + 951.66354. Let t = 0.134 + p. What is t rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 15016 = -2*t, 4*t + 8 = 0. What is the common denominator of -69\/110 and c\/(-504)*(-20)\/75?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -22980514?\nAnswer: 22980514.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 3, g: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0785 less than -989.22876769?\nAnswer: -989.15026769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:15 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 604554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033\/(-10) + 175\/((-37100)\/954)*1\/(-15)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 3*p**5\/35 - 17*p**4\/7 - 362*p**3\/21 + 146*p**2\/7 + 135*p\/7 + 816. Find h, given that k(h) = 0.\nAnswer: -5, -1\/3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -48*a. Let n(y) = 42*y - 108*y + 32*y + 33*y. Give n(x(u)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 52. Which is bigger: l or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - (1 + (26 - 36))) + -8 + 2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 4*n - n)*(-5*n**2 + n**2 + 2*n**2)*(-2*n - 1 + 4*n + 0*n + 3*n**2).\nAnswer: -30*n**5 - 20*n**4 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-1)\/((-255)\/(-34))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -39. Suppose 3*b + 5 = -5*x, -3*b - b - 4*x + 4 = 0. Let t be (-4)\/g - b\/((-180)\/5176). What is the highest common factor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 70*c**2 - 123*c - 59. Determine b(33).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -918833, -1837848, -2756863, -3675878?\n\"Answer: -919015*j + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 415?\nAnswer: 25315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4968 = -9*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -69*u - 2212 - 4*u**2 - 99*u + 448 = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/11 - 20\/(-110). Suppose -5*r - 5*s + 187 - 52 = i, -4*r - s + 99 = 0. Put -4, r, 5 in ascending order.\nAnswer: -4, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -r + 5*p, -4*p + 6*p = -5*r - 1. Which is greater: 2\/27 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/841 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 507887 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5069240 and 16?\nAnswer: 10138480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*c + 149*c - 111 = -4*y, -3*c + 7 = 2*y - 2 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24659 (b) 6 (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**5 - 113803*h**4 - 181*h - 2 wrt h.\nAnswer: 60*h**3 - 1365636*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let x(r) = 6*r**3 + r**2 - 3*r + 1. Let b be x(m). What is the tens digit of 2\/(-5) + 312\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491548867 - 561.2?\nAnswer: -491549428.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = -5*v, -c - 4*c + 5 = 0. Solve -5*u = v*b - 27, 2*u - 5 = 5*b - 0*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 250 = -4*z - 326, 0 = 2*b - 4*z + 1104. Let f be (-2)\/9 + b\/(-90). Is 4\/f*165\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56044313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17843.37 - 17746. Let l = h - 98. Let v = 0.43 + l. Which is the nearest to 2? (a) 0.1 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 - 1) - 5 - (1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -362.054 + 0.6\nAnswer: -361.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2123 + -2118. Which is the biggest value? (a) w (b) -0.4 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3384, -3493, -3606, -3723, -3844?\n\"Answer: -2*l**2 - 103*l - 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 6*v + 0*v + (1 - 1 - 2)*(1 + v - 1) + 2*v - 3*v - v - 18 + 10*v + 18 - 21*v + 14*v + 15*v + 5 in the form t + r*v and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -131*z**2\/2 + 2279*z + 1345. What is the derivative of i(u) wrt u?\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (0 - (5 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 4*a**3\/3 + 3*a**2 + 1. Let w(d) = -3*d**2 - 5*d. Suppose 45*s = 44*s + 5. Calculate s*l(c) + 6*w(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9 + (-510)\/(-50))*(49 - -1) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o - 58. Give i(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 divided by -2?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 + 2*y - 5. Let d be q(4). Solve -d*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -114*f**2 + 1374*f - 70. Let p be d(12). Solve -b + 2 = p*s + 1, 7 = -3*b + 4*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*u**2*x + 719*u*x**2 + 75631*x**2 wrt u?\nAnswer: -24*u*x + 719*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from xyyxxxxxyxxxyx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 divided by 108674?\nAnswer: 996\/54337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921379.\nAnswer: 921379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55992 + 4*m + 55992.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 5. Let d = f - 7.3. Sort d, 5, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(891) + 0 - sqrt(891)))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t**3 - 197*t**3 - 242*t**3 - 31*t**3.\nAnswer: -416*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7204, 14704, 22210, 29722?\n\"Answer: 3*n**2 + 7491*n - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -40. Suppose -5 - 1 = -4*x + 2*t, -3*x - t + 7 = 0. Find the second derivative of -x*p**n - p**4 - p + 3*p wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 + 594 + (1 - 10) - -13?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Sort -3, 2, 4, z in increasing order.\nAnswer: -3, 2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -296, -981, -2316, -4517, -7800, -12381?\n\"Answer: -36*w**3 - w**2 + 4*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/2*((-477)\/1060)\/((-18)\/(-48)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose -81 = -12*b + 3*b. Suppose b - 69 = -d*v. Which is bigger: v or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 465748*w**3 - 27112821098*w**2 + 271163143080*w - 677936968200.\nAnswer: -2*(w - 5)**2*(w + 116442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n**(-7)*(n*((n*n**(-2\/7)*n)\/n)\/n)**(-35)*(n**2*n\/(n*n**(5\/4)*n))\/(((n\/(n*n**(-1\/3)\/n)*n)\/n)\/n*n**(1\/14)*n) assuming n is positive.\nAnswer: n**(-1987\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by -30.\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1977\/296102 or -1?\nAnswer: 1977\/296102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/4)\/(11\/(-484))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 3.94\nAnswer: -0.2364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/18580292 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*g + 4. Let l(u) = -5*u + 7*u - 5 - 3 + 4. What is the least common multiple of l(9) and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -492, -501, -510, -519, -528?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 - -345. What is the greatest common factor of s and 320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 20*t**2 - 168*t - 567. Let d(w) = -4*w**3 + 60*w**2 - 504*w - 1704. Let i(x) = 3*d(x) - 8*g(x). Factor i(o).\nAnswer: 4*(o - 6)*(o + 3)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/((a\/((a**(-4\/5)\/a)\/a))\/a*a)))\/a**(6\/11)*a**(-2\/9)*a*a*a**(2\/5))**(4\/5) assuming a is positive.\nAnswer: a**(12736\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2271 + 2270. Do -1308\/7 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(1\/5)))\/(v\/(v\/(v**(-4)\/v*v))))\/(v**(-1))**(-1\/16) assuming v is positive.\nAnswer: v**(299\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -47.5063\nAnswer: 2.375315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 178140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/10 - 2890\/(-4). Suppose -5*b - 3*f + n = 0, 264 = 6*b - 4*b - 5*f. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 2*m**2 - 9*m**2)*((-2*m + 3*m - 3*m)*(4 + 7 - 6) - 3*m + 2*m + 0*m).\nAnswer: 132*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.14122 micrometers in kilometers?\nAnswer: 0.00000003714122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 17*h**2 - 5*h**2 - 5*h**2 + 37*h**2. What is the remainder when n(1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*m - 118, 2*m + 3*m - 4*r = -174. Let u = m + 48. Suppose -2*t - 28 = -2*q - 5*t, q - 14 = -4*t. What is the least common multiple of q and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(-12)*n))*n**(-2\/17) assuming n is positive.\nAnswer: n**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 306 (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.092 and -0.5.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18406\/39 smaller than 471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/5 - 11*a\/5 - 36 = 0. Calculate a.\nAnswer: -9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -9 + 21 + -35\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2694*k**4 - 2695*k**4 - 80*k - 2*k**3 - 3*k**2 + 5*k**2 to the form w*k + z + m*k**4 + p*k**2 + h*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p - 2. Let y be r(-2). Suppose 5 = -y*n + n. Let c be (-13)\/26*(n - -1). Solve -4*g + i + 2 = c, 0 = g + g - 5*i - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 20. Let y = -71 + 76. Suppose 6*t + 3*x - y = t, -5*t + 4*x = -40. Solve 17 = 5*f - q*w - w, t*f = -4*w - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (216\/(-3) - -1)\/(((-8)\/146)\/4).\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-467640)\/378)\/20 + 59?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/15))\/(u*u*u**(-1\/7)*u))\/(u*u**(-2\/9)*u**(3\/2))*(u*u**(1\/3))**46*u*(u**(2\/9)\/u)\/u*u*u*u\/u**(2\/7)*u assuming u is positive.\nAnswer: u**(37801\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, 0.01, 2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69528563 and 3302.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + w = -3*w + 184, 176 = 4*q + 2*w. Is 1\/(-14) - (-2523)\/q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443132 (base 7) to base 8\nAnswer: 230155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*q - 1 = 0, g = 4*q + 5 + 4. Differentiate 6 - 7 - g*m**4 - 5 + 39*m**4 wrt m.\nAnswer: 136*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.5 (c) -2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153071812051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9 = -39. Let w = f - -13. Find z such that 0*z**w + 0 + 2\/3*z**4 - 4\/9*z**5 - 2\/9*z**2 + 0*z = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47286831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(95) - sqrt(95))\/(-5*sqrt(20)\/sqrt(4))*-6.\nAnswer: -54*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 78.1. Let l = -3 + 7. Which is the nearest to p? (a) l (b) 1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j**3 + 25*j**3 - 27*j**3 + 15*j**3.\nAnswer: 49*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*z + 28 = 0, -8 = -v - z + 17. Let i = 58 - v. Suppose -22 = -3*n + 6*m - m, 2*m = 4*n - i. What is the remainder when 26 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**3 - 5\/12*x**4 + 0*x**2 + 3*x + 0. Let s(v) = -20 + 2*v**2 + 20. What is d(s(c))?\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*p**2 + 2 - 2 + 118*p**2 + 160*p**3.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a77 - 2?\nAnswer: -a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0.08, -0.1, 86\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*o - 39 = -3*f, -o + 52 = 4*f. Let b = -11 + f. What is the third derivative of 2*j**6 - b*j**2 + 12*j - 22*j + 10*j wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 10 = 0. Let t = g - 10. Let p = -7 + 6. Put -3, t, p in decreasing order.\nAnswer: t, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0532 - 0.05319713. What is c rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -3256 (b) -4 (c) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, y: 1, k: 1, p: 1}. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2\/39 (b) -1\/6 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -98, -3, 5, 4, -161, -5.\nAnswer: -161, -98, -5, -3, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31697652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*1\/(-15)*-5. Suppose 0 = -x*n + g + 418, -n = n - 5*g - 257. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30579 and 206?\nAnswer: -6299274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 6*o - 4. Let h be y(-7). Let j be 9\/(-12) + (-15)\/12. Let x be 1\/1*j\/(-1). Solve -4 - x = h*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/(-16))\/(33*(-8)\/176). Solve h*m**4 + 2*m**3 - 1\/2*m + 1\/4*m**2 + 0 = 0 for m.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31102 (base 5) to base 10\nAnswer: -2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -96097*p + 288244. Calculate m(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -42 + 37 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-5)\/(-180)*-82 - -4) + -1 and ((-2045)\/1210)\/(-1) + 4\/(-2)?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t*t)**(3\/14) assuming t is positive.\nAnswer: t**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 903\/2*s**2 - 264*s + 38 + 49\/2*s**3.\nAnswer: (s + 19)*(7*s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - 11\/35. Let j be -5*24\/132*3\/(-5). What is the second biggest value in j, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190.812 - -212.73. Let i = -0.44 - -22.44. Let h = i - b. What is h rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 103610?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/4)\/((-3)\/(-8)). Let p = t - -5. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -896 + 1411. Let l = t + -514.5. Sort 3, -31\/7, l, 0.1 in descending order.\nAnswer: 3, l, 0.1, -31\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 165620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 7. Let p be 25\/(-7) + 40\/70. Let l(z) = 4*z + 4. What is p*q(v) + 5*l(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5797*-4589\nAnswer: -26602433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307.4, -3, 0.4 in descending order.\nAnswer: 307.4, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2007.3 + -2007. What is the second smallest value in 8, t, -49?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g = -59*g - 4089. List the prime factors of g.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1 (b) -0.2 (c) 4387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = 2*h. Let x(n) = -n. Let g(f) = -2*f. Let w(p) = h*x(p) + g(p). Let t(d) = d**2 + 2*d. What is -3*t(i) - 2*w(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/43539 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k + 334. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (105\/18)\/((-3)\/15). Is c < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16140 and 180?\nAnswer: 48420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/167, -0.11, 1\/2, 8, -43, 2 in descending order.\nAnswer: 8, 2, 1\/2, -1\/167, -0.11, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4697507*y - 5135923 wrt y?\nAnswer: 4697507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -52.5, -22, 0, 6?\nAnswer: -52.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/2, -132, -2 in ascending order.\nAnswer: -132, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -2 (b) -1 (c) 6979\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2551739551.5 and -5.\nAnswer: 2551739546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(6\/(-5)))\/(-10 - (-544)\/48).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*w + 2*n + 1171, -3*w = -2*n + 878. Let z = -292 - w. Solve 4*v = 4*c - 4, 5*v = -z*v + c - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*y - 2425*y = 48588 + 34376 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1876 - -0.4876. Let a = -4 + 0. What is the nearest to 1 in -3\/2, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(-3 + 1 - 3)*(-7*c**2 + c**2 + 18*c**2)*(-2*c + 2*c - 4*c)*(-1 + 3*c + 1).\nAnswer: -1440*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 60. Let x be (4\/(-10))\/((-3)\/(-45)). Calculate the remainder when j*(-5)\/((-45)\/x) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772421322 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6762639um?\nAnswer: 0.0000006762639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-5)\/(-60)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 33, 2\/5 in increasing order.\nAnswer: 2\/5, 20, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 k when four letters picked without replacement from {e: 2, k: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/17 (b) -545 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -965501000 rounded to the nearest one million?\nAnswer: -966000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 787778 = 5*j, -3*f + 12 = -6*f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 190417 = 205598. Suppose -7*n + f = -s - 2*n, -2*n = -3*s - 396002. Round s to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x)\/x*x\/(x**(-3)\/x)*x)\/(x\/(x*x**(1\/4)))**(-2\/111) assuming x is positive.\nAnswer: x**(221\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53530 and 2513890?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 116 + 65 - 3*p + 2*p.\nAnswer: -p - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002382208 rounded to 5 dps?\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57737443739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 - 2*i**2 - 5*i - 2. Let o be h(-2). Suppose o*z = 71 + 83. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 + 16*i - 32 = 0. What is i?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(2410\/(-16))*(-10)\/16*(-2060)\/(-5150)?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -34, -5, -1 in decreasing order.\nAnswer: -1, -2, -5, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a**(7\/5)*a*a))\/a*a**(1\/5))**(-10\/9)*((a*a**5)\/(a**(-3)*a*a))\/((a*(a\/((a\/(a**(2\/3)\/a))\/a))\/a)\/a*a**(-1)*a) assuming a is positive.\nAnswer: a**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599342 is divided by 875?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11215, -44830, -100847, -179260, -280063, -403250, -548815?\nAnswer: -716752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 8, 2 in ascending order.\nAnswer: -4, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 2. Let i(q) = 6*q + 9. Let z(f) = -5*f - 9. Let y(h) = 6*i(h) + 7*z(h). Let w be y(7). Determine c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372358 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n + 3. Suppose -5 = -5*z + 4*s - 3, -z - 4*s = 14. Let o be c(z). Solve -o*p + 3 = -0*p - 2*u, -6 = -3*p + 3*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 206035 from -80.\nAnswer: -206115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13 - 29 + 527*i - 543*i + 10. Does 52 divide x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozffizfxolllxf. What is prob of picking 1 f and 1 z?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/70*1 - 5\/70.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/((t\/t**(2\/15))\/t))\/(t**(2\/3))**18 assuming t is positive.\nAnswer: t**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/10))\/q)**36\/((q\/q**(1\/21)*q)\/(q*(q*q**(3\/22))\/q)) assuming q is positive.\nAnswer: q**(23063\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)*l)**(-3\/19)\/((l\/(((l**(-3)\/l)\/l)\/l*l))\/(l*l**(-4))) assuming l is positive.\nAnswer: l**(-175\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16791904*n**4 + 16923*n**2 - 256*n?\nAnswer: 403005696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*x - 37 = 0, 0*x - 2*x + 21 = 3*g. Suppose -2*c - 2*n + 20 = 0, g*c + 0*c = 4*n + 5. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -267, -616, -965, -1314, -1663?\n\"Answer: -349*u + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -907991 times 5?\nAnswer: -4539955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -32, -65, -116, -191, -296, -437?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1176\/6552)\/(1\/(-147)) - -25.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 70 = -2*p. Let a = p + -23. Let y = 2 - -6. Calculate the least common multiple of a and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from qqoaaqakkk?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 46646248 divided by -2453\nAnswer: -19016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -32. Let j be s*-3*(-20)\/(-75). Suppose 5*y = j*y + 50. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/14)*z)\/z)\/((z**(-7)\/z)\/z*z)*z**(-6)\/z**(-2\/5) assuming z is positive.\nAnswer: z**(163\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106714507 + -2.\nAnswer: 106714505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311344*y - 311440*y - 4 - 2.\nAnswer: -96*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.012813 and -3410755.\nAnswer: -3410754.987187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.24162mg?\nAnswer: 0.00000008124162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(10)\/(-2*sqrt(605)) + -3.\nAnswer: -3 - 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-75) - -2 - (-385)\/75.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7216 is divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -67662 divided by -4833\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/1386 and -103\/1725306.\nAnswer: 36231426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7065709 millilitres to litres.\nAnswer: 0.0007065709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y. Let k(o) = -3*o**2 - 138*o + 795. Let l(s) = 18*h(s) - k(s). Differentiate l(u) with respect to u.\nAnswer: 6*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 165, 173, 185, 201, 221?\n\"Answer: 2*m**2 + 2*m + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24)\/(-4))\/(4 - (-2305)\/(-580)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9572518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880938*k - 440452*k + k**3 + 4*k**3 - 440486*k - 4*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21010452 divided by -6?\nAnswer: 3501742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18896 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406914 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2 - 4*d + 4. Let l be b(3). Let x = 107 - l. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s\/(s*(s*s**(6\/5)\/s*s)\/s))\/s*s*s**(-29)*s*s*s assuming s is positive.\nAnswer: s**(-131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 3*x = -36, -5*c - 100 = 5*x. Let h be (-3)\/6*0 - (3 - (-48 - -55)). Sort c, 5, h.\nAnswer: c, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 12) to base 10.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 260*q**2 + 3705*q - 8910.\nAnswer: 5*(q - 27)*(q - 22)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g. Let j(w) = -19*w. Determine j(i(k)).\nAnswer: 152*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 54 = -4*x, -5*x = -2*a - a + 54. Let k be (-6)\/x*4\/(-14). Sort 0.2, k, -0.5 in descending order.\nAnswer: 0.2, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/2))**(-4)*(m**5)**(3\/5))**(-39) assuming m is positive.\nAnswer: m**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/180 - n**4\/36 - 9*n**2. Factor a(r).\nAnswer: r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*k - 420 = 1318*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(425) + sqrt(425))*-3)**2 + -5 + sqrt(425) + 1)*-2 + ((sqrt(425) - (sqrt(425)*1 + sqrt(425))) + 4 - (sqrt(425) + 1 + 4))**2*1.\nAnswer: -28891 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwfffkwkffgw. What is prob of sequence fkf?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 2. Let h be c(-2). Let q = -20 - -22. Let u = q + h. Solve -4*i - u = 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -493*s**3\/3 + 35*s**2\/2 - 3*s - 2. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -9*i + i. Let r(t) be the second derivative of t**4\/12 - 7*t**3\/6 + 11*t**2\/2 + 22*t. Let l be r(3). Put l, i, 2, -2 in increasing order.\nAnswer: i, -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-3 - 2)*-5. Let g = -1522 + 1521.9. Which is the closest to g? (a) 1\/6 (b) r (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/((-60)\/(-88)) + -8. Suppose -11 - 31 = -g*s. Let l(k) = -3*k - 1. Calculate l(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muuu when four letters picked without replacement from imuimummmui?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 38*m + 310. Give p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 6*x - 4*x - 2, x = i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**4 + 0*r**2 + 4*r**4)*(-8 - 6 + 10).\nAnswer: -20*r**4 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27366, 28, 8, 1 in ascending order.\nAnswer: -27366, -5, 1, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 26 + -2 + (0 - -3). Let i = o + 109. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-2)*l)*l*((l\/(l**(-5)\/l))\/l)\/l*l*(l**(-2\/17)*l)\/(l*l**(1\/9)*l)*((l**1)**(-14))**(-9\/7) assuming l is positive.\nAnswer: l**(3790\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 570681.\nAnswer: 2282724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36474523 and 57889?\nAnswer: 4453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3219*w = 3220*w + 27, -3*r - 47 = w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + 0.038214.\nAnswer: 108.038214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-153*f**2 + 4368*f - 4368*f)*(4 - 2 + 0 + 2*f**2) to g*f**4 + n + q*f**2 + r*f**3 + m*f and give g.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 18*o - 1909 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*x + 0*x + 41*x - 2*x as d*x + n and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -10 - (1 + -1)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let z = 0.008 - -2.092. Let t = m + z. Put -1\/8, t, 3 in increasing order.\nAnswer: -1\/8, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48871 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 3*v. Let r be q(3). Suppose r = 2*g - 11 + 39. Is 4\/(-14) + (-172)\/g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 0*h - h + (-h + 4 - 4)*(-1 + 1 - 2) - 2*h - 1 + 1 - 2 + h + h + 0*h + (4 - 1 - 53)*(-4 + 4 - 3*h).\nAnswer: 154*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2519.17 - 2506. Let a = -13 + p. Let r = -0.15 + a. Sort 1\/2, -0.3, r in ascending order.\nAnswer: -0.3, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 25. Let w be (-5 - -5)\/b*(0 - -1). Suppose 3*t = -h + 55, w = -t - t - 2*h + 30. Solve 0 = -3*p - 5*j + 2*j - 12, 5*p + j + t = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Suppose m*l = -l. Which is smaller: l or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 9:26 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3) + 3 + -2. Let a = 2 + n. Let j(s) be the first derivative of s**3\/3 - 5*s**2\/2 - 3. Determine j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33600000 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6506, 852, -5 in decreasing order.\nAnswer: 6506, 852, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 56 = -5*u, -5*u = -j + 2*j - 33. Solve -7 = -4*s - j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4122*t**3 - 5*t**2 + 1934*t**3 + 2185*t**3 + t**2 + 4*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.384652 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 3. Let a be m(0). Let s be (-22)\/4 - 9\/a. Let k = -1.2 + 1. Sort 1, k, s in ascending order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192698 is divided by 384?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(30\/(-240))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 152.9, 4\/3, 2\/299, -3 in descending order.\nAnswer: 152.9, 4\/3, 2\/299, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 7*v**2 + 5*v - 19. What is y(-7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**3 - 1\/6*p**4 + 0 - 4*p**2 - 1\/90*p**5 + 0*p. Factor x(z).\nAnswer: -2*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600963493.\nAnswer: 13, 113, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 + 78*s + 249. List the prime factors of r(-24).\nAnswer: 3, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15*(-37 + 38))\/(21\/(-10))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4707 = -c + h, -4*c - 5*h = -13676 - 5134. Let u = c + -3137. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -16. Suppose 15 - n = 2*d. Find the first derivative of -d - 2*i**4 + 5 + i**4 wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2126.7603 minutes to weeks.\nAnswer: 0.210988125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -5, -6\/11, -11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1184 divided by -2\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59.8 - 60. Let p = -217\/5 + 43. Which is the biggest value? (a) r (b) -4\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from aoaojaaoajmom.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + u = 3, 35*u - 27 = 6*u - 52 + 54 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -607, 0.3, 2\/7, -2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-668)\/(-14) + 3\/63*6. Is (-55334)\/(-22) + 0 + f\/(-264) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -17. Let m = j - 7. Let u be (-3 + 2)*(2 - 2). Solve 0 = -2*q + m - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 4*x**5 + 3*x**5 - x + 3*x**5 + x**5 - 5*x**5 + (2*x + x - 5*x)*(2*x**4 + 4*x**4 - 5*x**4) - 2*x**5 + x**5 + 0*x**5.\nAnswer: -5*x**5 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*z = 355*z + 90 + 134 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -5 (c) 1418337 (d) -1\/6 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 73\/4 - (-1)\/(-4). Suppose 0 = -16*d - 8*d - 2*d. Solve d = -4*r + x - 17, 5*r = -2*x - 0*x - h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2738*v + 2724*v + 23 = -19. What is the highest common factor of v and 3819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 782, 781, 778, 773, 766, 757?\n\"Answer: -f**2 + 2*f + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 37*y - 12580. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5693495.6268 and 339.\nAnswer: 5693834.6268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 4, -50, 2, -4 in descending order.\nAnswer: 6, 5, 4, 2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n. Let g(u) = -7*u. Suppose v = 4*r - 12, -5*v - r + 15 = -9. Suppose v = -t + 1. Let m be (-4)\/t*18\/4. Give m*l(f) - 5*g(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 143520, 143487, 143454, 143421, 143388?\n\"Answer: -33*s + 143553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19942 + 20811. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 5 + 1 + 3*m + 3. Let a be y(10). Suppose z - 45 = -4*n, 4*n - 117 = -2*z - a. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 11\/12*m**4 + 0*m + 0*m**3 + 0 + 5*m**2. Let x(v) = v. Give x(q(i)).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*m + 52896 + 52887 - 105767 in the form j*m + h and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612539 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 69. Let u = 0.4 - 0.4. Let h = 3 - u. Which is the nearest to -0.1? (a) 2\/9 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5173 greater than -5172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1530, 1574, 1664, 1812, 2030, 2330?\nAnswer: 2724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*c + 5851 = 131*c - 3*i, c - i - 5855 = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5.8223 times -84.55?\nAnswer: -492.275465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b + 20*b - 13*b as x + m*b and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8478045, -16956085, -25434123, -33912159, -42390193, -50868225, -59346255?\n\"Answer: x**2 - 8478043*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 998 - 36*f**2 - 998 to the form s*f + m*f**2 + i and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18956 in 7, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 705 and 90?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 18 - -28 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (88 - 180 + 9*i**2 - 2*i + 91)*(5 - 5 + 3*i) as p + r*i + j*i**2 + l*i**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1281 - -1283. Suppose 0 = -5*c + 7*c + s - 27, -s = -c + 18. Solve -10 = 3*r + h*n + c, -3*r = -5*n - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*f + 60*f - 494*f - 294*f - 12 + 11.\nAnswer: -630*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 216*m**2. Let i(u) = -441*u**2. What is i(d(k))?\nAnswer: -20575296*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46c6 + 5b0?\nAnswer: -4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(10\/50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 - -2. Let l(r) = r**2 + 384*r - 10222. Let n be l(25). What is the nearest to j in -1\/4, -8, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106566.\nAnswer: 2, 3, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 244107 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41465, 168849, 381163, 678413, 1060605, 1527745, 2079839?\nAnswer: 2716893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 11. Let q = -16 - -10. Does 28 divide (-1048)\/(-12) - a\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5261435.61 rounded to the nearest one thousand?\nAnswer: -5261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1213 + 0.0787. What is the nearest to 0.2 in m, 3\/8, 1\/8, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -13*a - 8. Suppose 0 = -3*o + q + 3, 5*o - 3*q = 9. Let w = o + 4. Let u(l) = 27*l + 18. Let z(d) = w*u(d) + 9*j(d). Let h(g) = 8*g. Give h(z(b)).\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + (-11 - -2 - (0 + -18)) + -20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -5 - (-9 + 9)\/40.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -282.15 - -269.15. Sort -0.5, c, -0.065 in increasing order.\nAnswer: c, -0.5, -0.065","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-28)\/84*(-6)\/52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + -5 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 d, and 1 b when four letters picked without replacement from {m: 1, b: 1, d: 1, v: 3, g: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2311*w - 3190*w + 20790*w + 6797*w + 13606*w)*(-1 + 1 + 2*w**2).\nAnswer: 71384*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54721054*s**2 - 110635170*s wrt s?\nAnswer: 109442108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/13 - 258454*q**2\/13 - 775348*q\/13 - 516896\/13 = 0.\nAnswer: -129224, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(3\/2)*w)*w*w)**(-16)\/((w*w\/w**(-1\/5))\/w*w*w*w\/w**4) assuming w is positive.\nAnswer: w**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715109 - 1715109 + 21*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let c be 22\/(-4) - 35\/(-14). Sort -1, x, c in increasing order.\nAnswer: c, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let z(m) = -19 - 7 + 2*m - 12 + 6*m + m. Determine z(w(n)).\nAnswer: 9*n**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 493 + 207 = 0. Is k greater than or equal to 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6238*0.4.\nAnswer: 2495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + 9b?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299946*s - 768331*s - 782715*s.\nAnswer: -1850992*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -416 or -171909\/412?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/11)\/(3 + -2). Let z(y) = y - 1. Let d be z(1). Let i = 1 + d. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13*x**2 - 5*x + 3. Let l be p(3). Let y = 340 + l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - 15 - (48 + -45)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69289, -69292, -69317, -69376, -69481, -69644?\nAnswer: -69877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -47, -109, -207, -347, -535, -777?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42\/11 + 203\/33. Which is the smallest value? (a) 2 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**4 + 63*p**3 + 9487*p**2 + 2?\nAnswer: 168*p + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + x)*(0*x**4 + x**4 - 2*x**4) + 93958*x**3 - 93958*x**3 - 2231*x**5 + (3*x**5 + 2*x**5 - 4*x**5)*(0 - 2 + 3).\nAnswer: -2231*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -264*p**3 + 64*p + 9. Let q(d) = 268*d**3 - 63*d - 9. Let c(x) = 6*i(x) + 7*q(x). Find the second derivative of c(g) wrt g.\nAnswer: 1752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/204 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 11*r**2 + 12*r - 2. Determine m(8).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -439*(-2)\/(-2)*8\/(-8). Suppose -10*s - 2461 = g. Do s and -290 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(-1 - 2*s + 1) - 12*s - 15*s + 14*s + (-2 + 2 - 3*s)*(1 - 11 - 4) in the form w + k*s and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 19 = -5*m + 44, -5*m + 4*t = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(159\/159)*7*3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -163299*d**2 - 40*d + 111. Let f be t(3). Round f to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11592 - 7713. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = -81. Let j be 88\/2 + (0 - 2). Suppose j = -2*d + 5*d. What is the remainder when z is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -157, -4\/5, 26434, -2 in increasing order.\nAnswer: -157, -3, -2, -4\/5, 26434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2783 times -2?\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/306 and 137\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.3796919 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.703508 rounded to zero decimal places?\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(-3*t - 2*t + 0*t)*(153 - 107 + 191) in the form u*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by -10.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10*j**2 + 4 - 5)*(3 + 1 - j - 2).\nAnswer: 10*j**3 - 20*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let b(i) be the first derivative of 0*i + 0*i**2 - 50 - 5\/3*i**3. What is c(b(a))?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/8 + 9*v\/4 + 3.\nAnswer: 3*(v + 2)*(v + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*t + 6 = 0, 81*r + 2*t + 60 - 49 = 78*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 37*m**2 - 323*m - 18. Determine w(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 3. Let z be d(2). Let w be z*(24\/9)\/4. Let c = 45 - 46. Put -5, w, c in ascending order.\nAnswer: -5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4200 - 4206 = -2*i, -4*i = -2*t - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54377130 to the nearest integer?\nAnswer: 7374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(245) + -3 + (sqrt(245) - sqrt(245)*1) + sqrt(245))*5 - (sqrt(120)\/sqrt(6) + sqrt(5) + 5 + 0 + sqrt(5))))**2.\nAnswer: -3036*sqrt(5) + 22309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 138. Let s be -3 - ((k - 0 - 3) + -1). Let h(c) = c**3 - c**2 - 22. Give h(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = 18. Let c be (36\/(-32)*-4)\/(6\/m). Let g be (8\/10)\/(c\/195). Calculate the highest common factor of 39 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 556 - 9997\/18. Find the common denominator of -125\/6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 2. Let j(o) = 2*o**2 - 166591*o - 5*o**3 + 166593*o - 11*o**2. Let t(a) = 14*a**3 + 26*a**2 - 6*a. What is x*t(w) - 17*j(w)?\nAnswer: w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-four fifths of a millisecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1 - 16)\/(5\/(-2)) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*v = -832*v + 1758. Let y = 31 - v. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30*(2 + 0\/4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 31. Let b(p) be the second derivative of p**4\/12 + p**3\/6 + p. What is b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) -3 (b) -48 (c) 0.4 (d) 19\/6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + j = -5*f + 5, 3*f = -9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -85. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196392 by -588.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0 + 0)*(62*g + 65*g - 125*g - 20*g**2) as y + o*g**3 + k*g**2 + u*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 534487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3857 and 55\/4959.\nAnswer: 34713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubregererurp. Give prob of sequence pue.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168623*c - 84334*c = 84508*c - 16863 for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/5)\/k)\/(k*k**(1\/2)))\/(k**(-1\/3))**(-10))\/((k*k\/k**(-2\/5)*k*k)**(-43)\/(k*k**(-2\/5)\/k)**(-48)) assuming k is positive.\nAnswer: k**(6089\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465, 16, -47, 2, 0 in decreasing order.\nAnswer: 465, 16, 2, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*((3*l - 6*l + 2*l)*(1 - 1 - 2*l**3) - 7*l**4 + l**4 + 2*l**4).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 11985 = 15*m. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 < 855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -23328?\nAnswer: 23336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 7*h**2\/2 + 24*h + 63. What is i(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -640*b + 1238*b - 56 - 572*b to v*b + n and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-9)\/(-11718)*14.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38375232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 131, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = 4*m - 189. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100001112212210 - -21?\nAnswer: -2100001112212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 510.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980*z - 1971*z + 990*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -15.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 222142?\nAnswer: 888568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 79*x**2 - 540*x + 185. What is the units digit of i(89)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3272\/280 + (-8)\/28)\/((-30)\/100)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j**2 + 49*j**2 - 11*j**2 to the form a*j + u*j**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:56 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*24\/(-216) + 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 8, -5\/2, -0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165415*a**2*i**4 + 19*a**2*i**3 - 13*a**2*i**2 + 3*a**2 - 42*a*i + 26*a - 3*i wrt i.\nAnswer: -3969960*a**2*i + 114*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2. Let d(x) = 3*x**3 + 9*x**2 - 4*x. Let k(o) = d(o) - 5*q(o). Let n(g) = -g**2 + g. What is k(c) + 4*n(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**3\/3 - 3*m**2\/2 + 5*m - 3384. Suppose 6*j - 8 = 2*j. Determine n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 29*n**2 + 135*n - 1. What is the remainder when 711 is divided by s(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181828028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8.7, 7, 0, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -690 - -690.1. What is the second biggest value in 0.004, -2, z, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28296170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1204 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q - q)*(242*q**2 + 118*q**2 + 224*q**2).\nAnswer: -1752*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*o + 66*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -202?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13a + -195?\nAnswer: -2cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 158, 160, 150, 122, 70, -12, -130, -290?\n\"Answer: -l**3 + 9*l + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2320 divided by -1901\nAnswer: 2320\/1901","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4053331.5437 - 1.7.\nAnswer: 4053329.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1010 - 653. Suppose 3*q = -0*q + s + b, 5*s + 345 = 3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 13725048*y - 11773558912644.\nAnswer: -4*(y + 1715631)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-2 - 52\/(-20)). Let w(v) = v**3 - 3*v**2 + 2. Let a be w(o). Suppose -4 = -3*f + a. Solve 2*s = -f*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oezzvzgeozezz. What is prob of sequence zve?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 1027 + 5*k + 1031)*(3*k + 0*k + 0*k + (-1 - 3 + 2)*(-1 - k + 1) + 0*k + 0*k - k) to the form h*k + n + g*k**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 4241022?\nAnswer: -4241124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 28. What is the remainder when o(-8) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 - 1. Suppose 5*v = -11 + 1. Let d be (v + 0)*24\/(-16). Let j(i) = -6*i**2 + 0*i**2 + 4*i**2 - 2 - 3*i**d. Calculate j(f) - 2*p(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y**3 + y**2 + 2*y + 1. Let q be x(-1). Let j = 33 - q. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m**(2\/3)*m)*m*m*m\/((m*m*m**(-2)*m*m)\/m))\/(m\/m**(2\/3)*m*m*m**3*m)*(((m\/(m\/m**(-1)))\/m*m)\/(((m*m**5*m*m*m)\/m)\/m))**(-46) assuming m is positive.\nAnswer: m**365","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x + 7*x**3 - 8*x + (x - 1 + 1)*(-2*x**2 + x**2 + 0*x**2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2591*h + 20734. Give d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t\/(t**(-1\/5)\/t)*t)*t)**27 assuming t is positive.\nAnswer: t**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - -0.22. Let d = 46 - 51.1. Let u = q + d. What is the biggest value in u, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.564 minus 8.87498?\nAnswer: -15.43898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73779323.\nAnswer: 59, 1250497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3205 = 93*z - 192 + 2195 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2. Let y(p) = -1470470861*p**2. Determine g(y(u)).\nAnswer: -2162284553050081321*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*q - 317834414*g**3 - 653532*g*q - 64*q wrt q.\nAnswer: -2*g**3 - 653532*g - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/2, 2\/5, 17, 5117.\nAnswer: 2\/5, 3\/2, 4, 17, 5117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61 - 9972)*(1 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3975 is divided by 3882.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -41. Suppose -c*s + 5*n + 12 - 2 = 0, 2 = 2*s - 4*n. Suppose -3*k - 18 = -90. Calculate the highest common divisor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -2*r**4\/3 + 3*r**3 + 25*r. What is the second derivative of m(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2187 = 3*h. Suppose 315 = 25*n - 20*n. What is the remainder when h is divided by n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/(g**40*g))\/g)))\/g**(-4\/23) assuming g is positive.\nAnswer: g**(-939\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-110))\/((-5)\/(-55)). Which is bigger: 5\/23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/5 + 2451*b**3\/5 + 34717*b**2\/5 - 102051*b = 0?\nAnswer: -23, 0, 9, 2465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.4, 421, -8\/7, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 4, h: 4, d: 2}. What is prob of picking 1 b, 2 h, and 1 d?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 25*h + 181. Let x be w(-7). Suppose -x*g + 317 - 71 = 0. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1735\/4 + -440. Let q = -9.96 + -0.04. Let d = q + 9.9. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 8*w**2 - 6*w + 112. Let l be r(6). Let z(k) = k**2 + 6*k - 11. Let c be z(-8). Solve -c*g + 2*g = 0, 4*j = -l*g - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 2, c: 4}. Give prob of picking 2 k and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let i be x(-7). Let r be (-79200006)\/i - (-33)\/44. Round r to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.993 - -122.91203. Round t to three dps.\nAnswer: 0.919","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 2\/7 (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31*(-2 + (13 - 4))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7289, -13992, -19531, -23324, -24789, -23344, -18407, -9396?\n\"Answer: 97*x**3 - 7382*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 8*w**2 - 6*w - 1. Suppose -x - 5*u + 3*u + 4 = 0, -3*u = -3. Calculate the remainder when a(7) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 22 = -5*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.324 and 274102790.038?\nAnswer: 274102790.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g + 5*g**2 + 10*g**2 - 9*g**2 - 18*g**2 + (-1 + 1 + g)*(-g + 0*g + 4*g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/348 and -10 - (1524\/(-80) - 50\/(-5)).\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 675006*a**2 + 16198416*a.\nAnswer: 3*a*(a - 224978)*(a - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1279 + -1279.000000818. Round t to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272925 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 7*c - 19*c + 768 = 0 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 6:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4507 and -1233.6805?\nAnswer: 1234.1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 4*r - 5 = 48*i, -i = 4*r + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d**2 - 45*d + 45*d + (2*d**2 + d - d)*(0 + 1 + 1) to m*d**2 + k*d + f and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-3)\/(-18))*-3. Let m = -14 + 9. What is the third smallest value in m, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097714837 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 606 = 3*o + 596, 4*d + 8 = 4*o. Solve -3*y - 3*p = y + 16, o = -5*p - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - u = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (207\/46)\/(84\/(-16)) - 244\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 q when three letters picked without replacement from sqssteizeitiqqtizqzz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -8 + 78 + -74\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3003676 divided by 23.\nAnswer: -3003676\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208544 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, -3681?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 48 + 5*k - 7*k.\nAnswer: -2*k - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 72101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/36 and -55\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -521 (base 8) to base 13\nAnswer: -1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 3*y**2 - 5*y**2 + (0*y + y**2 + 0*y)*(2 - 3 + 3).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 15}. Give prob of picking 1 r and 1 t.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -721 divided by -54196\nAnswer: 721\/54196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 268\/9 - (1860\/135 + -14). Calculate the greatest common divisor of 110 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 17*b**2 + 8*b - 4. List the prime factors of h(3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 0*f = 2*t + 12, -5*f = -2*t + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021120220 - -1101020?\nAnswer: 1022222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 + 30*x**2 - 69*x + 42 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 + 50762*g - 50707*g + 5*g**2 + 6*g**2 + 2*g**3 + 2*g**2.\nAnswer: 2*g**3 + 55*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*i*v**3*z**3 + 20*i*v*z - 5*i*z**6 - v**3*z**2 - v**2*z + 5*z**2 wrt z?\nAnswer: 522*i*v**3 - 600*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c47c (base 13) to base 6.\nAnswer: -3350444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 4 (b) 0 (c) -0.34 (d) 1013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 8) in base 4?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547 is divided by 133.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42526 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 32. Let m be l(7). What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3458 - 3483. Is 56 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose 0 = -3*o + 2*t + 175, -o - 2*o - s*t = -140. Suppose -o = 5*y - 195. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1670412?\nAnswer: 1670409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 0.158799, -1\/8?\nAnswer: 0.158799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (882\/77 + -2)\/((-158)\/(-869))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 1, f: 1, l: 2, p: 2, n: 1}. What is prob of picking 2 l and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) - 364\/39. Let w be 2\/i - 87\/(-27). Suppose 10 = w*n - 5. Solve -n = -3*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18421\/11 - -1675. Suppose l - 5*l = 0. Does l = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52645305 (base 7) to base 16\nAnswer: -4422ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 25 (c) -113480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -1\/42 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17628428*v**3 - 35256848*v**3 + 17628549*v**3.\nAnswer: 129*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2 - 10*j**2 - 8*j**2 + 8*j + 6*j**2 wrt j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13042847140 - 1.\nAnswer: -13042847141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 250?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 c when three letters picked without replacement from chfqffqf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 - 2*s**2 + 19*s - 69. What is the tens digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 857*s**2*u + 9102*s**2 - 8*s*u + 84366*s - 1 wrt s.\nAnswer: 1714*u + 18204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**3\/3 + 6*f. Let s be d(0). Let a be s\/1 - 18\/(-3). Calculate the highest common divisor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0)*(80\/672)\/(-5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685*0.1.\nAnswer: -68.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-3))\/(6\/90 + 0). What is the greatest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32799 and 52171.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 - 1.819. Let u = -0.16832 + f. What is u rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*x + 3 = 0, 2 = 2*s - 3*x - 1. Let o(c) = c**2 + 5*c - 3. What is the units digit of o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/132 + 7*s**5\/110 + 19*s**4\/132 + s**3\/11 + 134*s**2 - 1. Factor y(k).\nAnswer: 2*(k + 1)*(k + 3)*(5*k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - f = 1399, 432*j - 429*j - 3*f - 861 = 0. Calculate the least common multiple of 6 and j.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606933.008 take away -3061?\nAnswer: 3609994.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10146.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 0.5, -3, -5, 5\/8 in increasing order.\nAnswer: -5, -3, -2\/27, 0.5, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -21*i**3 - i**2 + i + 1. Is d(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, 3, -2, -11, -24, -41, -62?\n\"Answer: -2*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 31*l + 116 + 1170 - 651, -63 = o + 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2533*j**4 - 10676374 + 10676374 + 565*j wrt j?\nAnswer: -30396*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - -463?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-30)*a*a*a)**17*(a**27)**(-9\/2) assuming a is positive.\nAnswer: a**(-1059\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*z = 8*j - 4080, -3*j + 2437 = z. Suppose -9*n + j = 175. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*(m\/(m**(-15)*m))\/m*m)\/m**(2\/15)*m*m*m*((m\/(m\/m**23))\/m)\/m*m*m*m*m**8 assuming m is positive.\nAnswer: m**(793\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*g = -238*g + 3564. Solve -w - g*x - 12 = -32*x, 24 = -5*w - 2*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:21 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 1*sqrt(84)*-1)\/sqrt(7)*-4)\/((sqrt(16) + sqrt(96)\/sqrt(24))\/(4*sqrt(16))).\nAnswer: -128*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2746222403.\nAnswer: -2746222399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 2*p**2 + 2*p**2)*(2*p**2 + 3*p**2 - 4*p**2 + (4*p - 3*p + 0*p)*(0*p + 4*p - 3*p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -136a8 - 3?\nAnswer: -136ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829, 835, 841?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p - 2*p + 4*p)*(-15*p - p + 3*p) - 2*p**2 + 3 + 0 - 2 as l*p + a + r*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) -3\/353 (b) -375 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-14 + -2 + -79 - -27).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 524.19 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8131, 8101, 8045, 7957, 7831, 7661, 7441?\n\"Answer: -i**3 - 7*i**2 - 2*i + 8141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/35 and 143\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -15, -0.8, 0.4, -1\/5, 0.2 in descending order.\nAnswer: 0.4, 0.2, -1\/5, -0.8, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -267864, -0.2, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456558 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24040*f**3 + 29 - 23957*f**3 - 7 + (-2*f - 1 + 1)*(-f**2 + 4*f - 4*f).\nAnswer: 85*f**3 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13141 + 2671. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/5 + 34\/5. Let m(v) = v**2 + v - 2. Let d be m(-2). Is d bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336793 is divided by 1773.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 127, 205, 303, 427, 583, 777, 1015?\n\"Answer: d**3 + d**2 + 54*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 24*x**2. Let m(c) = -13*c**2. Give g(m(h)).\nAnswer: 4056*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzxkxnnxxazzzx. What is prob of sequence zx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15343 is divided by 438.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785833?\nAnswer: 7, 17, 43, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 9) to base 13\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -20 - -3) + -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 + -10 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 times 149\nAnswer: -14900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 - 5) - (21 + -24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 892*s - 1768.\nAnswer: -4*(s + 2)*(s + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v + 1130 = 125*v + 10 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -3, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1514, 12082, 40952, 97334, 190438, 329474, 523652?\nAnswer: 782182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c3 - 2?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 14)*(1 - 14\/10). Solve 0 = -x*a + 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.1. Let f = -0.27 - 8.73. What is the biggest value in -0.4, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.3, -263, 2\/3, -2 in ascending order.\nAnswer: -263, -10, -2, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**2 + 33*d**2 - 4 - d**2 with respect to d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/11844 and -167\/2820.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uikwwar. What is prob of sequence uak?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -3.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, 8\/7, 1, -3\/5, 0.034 in decreasing order.\nAnswer: 29, 3, 8\/7, 1, 0.034, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -555563?\nAnswer: 3\/555563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/6)\/5)\/((-52)\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2001 + 54. Suppose 3*l - m + 720 = 0. What are the prime factors of l?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y + 0*y**2 + 4*y + y**2. Let c(p) = -p**2 - 6*p. Suppose 5*j + 48 = w, -2148 + 2090 = 4*j + 2*w. What is j*c(r) - 6*i(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -109455, -109456, -109457, -109458, -109459?\n\"Answer: -n - 109454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 11*c + 9. Let m be g(8). Let x = -4 - m. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -452 (b) -0.2 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 5*c - 185 = 0, -5*u - 304 = -4*c. What is the tens digit of 1062 - (8 - u\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*-9*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 209 in -3, -4, -71?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:46 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -18*j - 104. Let k = 61 + j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -150, -11\/20, 2\/5, -4\/7 in increasing order.\nAnswer: -150, -4\/7, -11\/20, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2620 = -10*a + 5*a, 2*a = 4*q - 3476. What are the prime factors of q?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(11*x**5 + 94*x**2 - 94*x**2).\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00192879946 rounded to 6 dps?\nAnswer: -0.001929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/4 + 20 + 142\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 33411.\nAnswer: 33412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n + n + 132 - 4*n - 16. Calculate the least common multiple of 5 and k(-8).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/2413 or 0?\nAnswer: 12\/2413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 2*g - 154 = 0, 38*m - 35*m = -5*g + 73. Suppose -a = 3*a. Suppose m*z - 11*z - 1050 = a. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 11*a**2 + 13*a + 129. Let d be k(28). Calculate the highest common factor of d and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/120 + 7*v**5\/60 + 7*v**4\/24 + 5*v**3\/3 - 2*v**2. Let x be i(8). Does 20 divide (12\/9 - x)*-30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-9)\/(-126) - (-6)\/14). Suppose -4*o - 8 = -4*f, o - 4*o + 29 = 4*f. Let q be -3*(0 - (0 + 1)). Put q, f, p in increasing order.\nAnswer: p, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 - 7 = 0. Let n(z) = -z + 18. What is the units digit of n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-90)\/25)\/(6\/(-1095))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1792, -1375, -250, 1937, 5540?\n\"Answer: 59*p**3 + 4*p - 1855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2. Let g = -2129 - -5205. Let d(n) = 2*n**2 + 0*n**3 - 3076*n + n**3 + 4 - 2 + g*n. What is d(p) - 2*x(p)?\nAnswer: 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3204 and 67248756?\nAnswer: 67248756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgrrrrfvrrkfkr. Give prob of sequence kffv.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/7)*o*o**(-1\/2)*o)**27*((o**0)**(-2))**(1\/10) assuming o is positive.\nAnswer: o**(837\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, 3\/2, -0.5, 4 in decreasing order.\nAnswer: 5, 4, 3\/2, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -144, -5, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 1 - (-20 + 53 - (107 + -67)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.088\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 418*k**5 + 90*k**4 + 645*k**3 + 419*k**5 + 4080*k + 2880 + 2300*k**2 - 832*k**5.\nAnswer: 5*(k + 3)**2*(k + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -18*r - 5. Let p be w(0). Let j = 91\/3 - 30. Which is the closest to 0.2? (a) p (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - 8 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -8 (c) -1 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i - 722 = -90*i + 890 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 + 144\/(-216) + (-35)\/(-3). Calculate the greatest common factor of v and 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1243 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/l**(-5))\/l)\/l)**25)**38)**(-33) assuming l is positive.\nAnswer: l**(-125400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*p**2 + 92160*p - 92160*p.\nAnswer: 375*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.062167239 rounded to four decimal places?\nAnswer: -4.0622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*y + 17 + 4 = 0, b - 7 = -y. Calculate the lowest common multiple of (b\/1)\/((-8)\/(-64)) and 22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + 101535?\nAnswer: 101634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - -6. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 7 + 17 + (58 - 68).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**27*h\/(h\/(h**(3\/14)\/h)))\/(h**(-12))**(2\/5) assuming h is positive.\nAnswer: h**(2171\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 430205331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2277)\/5445 - (-6)\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247 - -417. Let t = s + -111. What is the remainder when t is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c - 9. Suppose 0*l = 3*l + 27. Let d be l - -1 - (2 - 5). Let j(k) = -7*k - 5. Let f(m) = d*j(m) + 3*h(m). What is the derivative of f(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2395 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2\/u*(u**(-3)\/u)\/u)**(-2\/19)\/((u\/u**0)\/u*u**(-1\/7)*(u\/(u\/u**(2\/7)))\/(u\/u**3)) assuming u is positive.\nAnswer: u**(-243\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.438285 decades?\nAnswer: 0.0438285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - 296.3. Let z = 40.1 + q. Which is the second smallest value? (a) z (b) -0.12 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263094?\nAnswer: 2, 7, 83, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 39, 159, 389, 765?\n\"Answer: 6*d**3 + d**2 + d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 + 2397*n + 9605. What is w(-4)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 138*x + 1. Let j be f(-1). Let h = 197 + j. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 0*j)*(-5*j + 4*j + 4*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 8 - 3*o**2 - 2*o**2 - 6*o. Let f be k(4). Let h = 0 + -0.1. Which is the nearest to f? (a) -5 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 107886077*c**2 + 107886077*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m + l + 4*l, 8 = -4*m - 2*l. What is the lowest common multiple of 28\/(-8)*(-4 - m) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 6*q - 1029 = -2*n, 11*n + 2*q = 16*n - 92 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i + 65*i + 1 - 20*i + 2 to the form p + s*i and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2030 + -1?\nAnswer: 202c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 111*r\/5 + 112\/5.\nAnswer: -(r - 1)*(r + 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.94708 - -0.05292. What is the nearest to 0 in -2\/5, 0.65, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -131, -213, -309?\n\"Answer: -7*f**2 - 47*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/9 in 3, -1\/5, 2, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - g - 2239999, 0 = 4*g - 0 - 4. What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 309*s + 3858. What is r(-321)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*h - 16 = 7*h, -2*m - 32 = -2*h for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.77 - 1.88. Let b = 20.25 + -21.209. Let q = k + b. Round q to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151\/7, 3, -0.06 in increasing order.\nAnswer: -151\/7, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 2, h: 1, o: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*k**4 + d**3*k - 57151*d**2*k - 15621*d*k**3 wrt k?\nAnswer: -24*d**3*k**2 - 93726*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a**2 + a + 2. Calculate x(-5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 3 + 3 + (2*y**2 + 0*y + 0*y)*(0*y + 5*y - 4*y) + 3*y**3 - 3*y**3 + 2*y**3 + 5*y - 13*y - 4*y**3 + 10*y.\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 40*k + 2 = 0. Solve k*z + 2 - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-4\/3)*q))\/(q*q*q**9*q)*q**(1\/3)\/(q\/q**(-5)))**(-25) assuming q is positive.\nAnswer: q**(1225\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-2478)\/(-63) - 352\/16.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h - 193*h + 18142 = 4690 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 + -4 + 3 + 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37935\/9174929 + 12\/4513. Let b = q - 89425\/18297. Find the common denominator of (2\/4)\/((-18)\/80) and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/3 - 9886*q**4\/3 - 3294*q**3 + 9886*q**2\/3 + 9884*q\/3 = 0.\nAnswer: -4942, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 102*z**2 - 4. Calculate the least common multiple of 5 and q(1).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42660, 44049, 45436, 46821?\n\"Answer: -f**2 + 1392*f + 41269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b - 315 = 2*b. List the prime factors of 4\/(-12) + (-3575)\/b.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(2*h**2 - 5*h**2 + h**2)*(-h**2 + 0*h**2 + 0*h**2).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((4 - 3) + -1)) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -37*s - 2831. Calculate f(-31).\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -429\/5. Which is the closest to 0? (a) 0.1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 41313 + 60750. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 9*p**2 - 3*p + 1. Let o be f(-9). Let c = 50 - o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108118831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 11*z**2 + 72*z - 324.\nAnswer: (z - 3)*(z + 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044272 to 5 decimal places.\nAnswer: -0.00443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -167*f + 67*f + 986*f + 25694 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:43 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + 10) - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/800 and -11\/500.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*w + 33 - 9, -5*w = 3*q + 3. Suppose -138 = 10*m - 4*m. Let h = m + 23. Solve -z - q*n = -h*n + 13, -6 = 3*z + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 67. Let i(s) = -s**2 + 5*s + 7. Let a be i(6). Which is greater: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8 - 2. Suppose -d*n + 16 = -4. Calculate the lowest common multiple of 10 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2 + 3 + 2*i**2 - 2 - 2*i + 5*i. Suppose -5*g + u - 6*u = 25, -21 = 3*g + 5*u. Let f be w(g). Sort f, -1, 2.\nAnswer: -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10)*3 - 0. Let v = -168275 + 168279. Which is the closest to -3\/7? (a) 1\/4 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268 + 258. What is the closest to 1 in x, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.615769 litres to millilitres.\nAnswer: 5615.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7cd0 (base 14) in base 6?\nAnswer: -12411102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r + 12. Let w be 0\/(r - 0) - -3. Let i be 2*(w - 1)\/2. Solve -i*a + c + 2 = -a, 4*a + 16 = -2*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 2. Let j(q) = -16*q - 91. What is -j(d) - 5*o(d)?\nAnswer: 6*d + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25245 - -46329. List the prime factors of o.\nAnswer: 2, 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g. Let d = -47 + 52. Let c(r) = r + d*r - 15*r + 10*r + r + 11. Give c(i(h)).\nAnswer: 8*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 19*p**2 - 81*p - 139. Let w be v(-14). Solve -6*n = w + 15, 4*n + 20 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 5, n: 2, d: 4, k: 1}. What is prob of picking 1 k and 2 n?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83099 divided by -123.\nAnswer: -83099\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(66)*4)\/(2*sqrt(294) + (sqrt(6) - sqrt(66)\/(1*sqrt(11)))).\nAnswer: 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9860 is divided by 235?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 86*d + 1093. Give b(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052925802 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -8, 5 in increasing order.\nAnswer: -8, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {e: 6, g: 3, u: 3, p: 6}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 5. Suppose 0 = q - 8 + 5. Let f be x(q). Solve -5*t + t - f = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 - 13202*d**4\/3 + 7*d**3\/3 + 92420*d**2\/3 + 26404*d = 0. What is d?\nAnswer: -13202, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2367.\nAnswer: 8\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 17.897, 0.2?\nAnswer: 17.897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {g: 4, j: 1, n: 10, k: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 850*g + 92658. Let o(u) = u - 2. Let s be o(5). Suppose m + 28 - 80 = 3*i, -3*m = s*i - 168. What is the remainder when m is divided by z(-109)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 41 - 80 + p + 39 - 3*p. Let l(b) = -49*b**2 - 1. Determine a(l(f)).\nAnswer: 98*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112102121112 (base 3) to base 9.\nAnswer: -472545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -51. Solve v*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/9 - -5\/18. Let a = 4.4 - 7.4. What is the third biggest value in 1, 3, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 17942731 - 17942731. Let u(c) = 23*c - 1. Give -2*j(p) - u(p).\nAnswer: -21*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -98 (b) -117 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*t + 256*t - 423 = 387 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p + 9. What is the smallest common multiple of f(0) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + -0.05. Let q = -0.5 + z. What is the second biggest value in q, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:03 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 187210142 to the power of 1\/2, to the nearest integer?\nAnswer: 13682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from jjvmjzjjzvj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 3. Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 3. Let s = 460 - 467. Calculate w(s).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - 0)*19\/(-2). Let j = -78 + r. What is the remainder when 99 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16987*b + 16982*b = -1475. What is the remainder when b is divided by 126?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*q - 5*v, 7*q - 2*q + 206 = 2*v. Let a = 44 + q. Suppose d = a*f - 297, -34 = -f + 4*d + 29. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121202321 (base 4) to base 7.\nAnswer: -24500125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q**3 - 2*q**2 + 6*q + 6. Let i(f) = 16*f**3 + 2*f**2 - 5*f - 5. Determine -4*a(p) - 5*i(p).\nAnswer: -4*p**3 - 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/30*2\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-15) + 13\/(65\/(-25)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sassassa?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32838964*w**2 + 405597*w wrt w.\nAnswer: 65677928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 9 - 1. Calculate the common denominator of (0 - -4) + 106\/j and 17\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4136 in -1.62, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 25654*k - 897831. Calculate f(35).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(4\/7)\/t)\/(((t*t*(t\/t**(8\/3))\/t*t*t)\/t)\/t))\/(t**(-2)*t\/(t*t**8*t)))**(-49))**(3\/17) assuming t is positive.\nAnswer: t**(-1652\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -11*r**9\/504 - 53*r**5\/60 - r**2 + 4. What is the third derivative of h(o) wrt o?\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305227763 and 7141.\nAnswer: 7141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**3*x**3 + 2*t**3*x**2 + 1550*t**2*x**3 + 2153*t**2*x**2 - 2*t**2 + 9*t*x**3 + 4*x wrt x.\nAnswer: -6*t**3 + 9300*t**2 + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -3*c, 2*m = -2*m + 4*c + 12. Suppose m*i = -4*i + 54. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 295639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31672243 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 6a7243?\nAnswer: -6a7248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.7741 and -544.\nAnswer: -531.2259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5621566 by 2.\nAnswer: 2810783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170087503 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 2\/25*y**5 + 0 + 0*y**3 - 4\/525*y**7 - 1\/150*y**6 + 1\/840*y**8 + 3\/20*y**4 + 57*y**2 + 0*y. Factor a(o).\nAnswer: 2*o*(o - 3)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 2, x: 7}. What is prob of picking 1 l and 3 x?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.3, -301.\nAnswer: -301, -3, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 - 9*a**3 + 0*a - 5 + 7 + 0*a + 2*a - 2*a**2 to the form d*a**3 + v*a + j*a**4 + g*a**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 9*o - 5. Let m = 14 - 11. Suppose -m*c - 9 = 15. Is u(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 + (0 - -24 - 15) + -35\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 753*c**4 + 1250*c**2.\nAnswer: 18072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3009954359 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzyrraroorzrrwyr. What is prob of picking 1 o and 1 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 22. Suppose -2*z = -6*z - 36. Calculate the remainder when f(0) is divided by (-78)\/z + (-4)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 10) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) -4 (c) -1\/3 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 27*q**2 - 4 + 90*q**2 + 143*q**2 - 102*q**2 + 2*q**3 as h*q + w + g*q**2 + x*q**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-5 - -1) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f + 6*f)*(f**2 + 0*f + 0*f + (2*f - 2*f - 2*f)*(2 - 2 + f)).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391400 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 29*b - b + 3 + 20*b.\nAnswer: 45*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 61, 71, -1, -31 in increasing order.\nAnswer: -31, -1, 3, 61, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13288*x**5 - 851*x**4 - 3*x**2 + 608648775*x?\nAnswer: -265760*x**3 - 10212*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 8*g**3\/3 - g**2 + 3248*g. Let h(u) = 24*u - 3. What is 7*d(i) - 5*h(i)?\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 112*v**2 - 114*v - 277. Calculate d(-55).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14)*((-539)\/(-22))\/7. Sort 520, d, -2, 1.\nAnswer: -2, d, 1, 520","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**2*r*z**2 + 78*c**2*r*z - c**2*z - 3668*c*z**2 + r*z**2 wrt r?\nAnswer: 5*c**2*z**2 + 78*c**2*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 16. Solve 4*p + p**4 + x*p**3 + 8*p**2 - 5*p + 5*p = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 19 + 54 + -3\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*j - j + 29, 3*o = 5*j + 26. Suppose p - 3 = -o. Let t(c) = -c**2 - 4*c. Let y be t(p). Solve w + 3 - 2 = y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-1)\/(7\/12). Let u = -3 - -4. Let g be (u - (-12)\/(-15))\/(-1). What is the closest to b in 3\/7, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 + 0.1. Let m = 31.9 + -32.3. Put m, 1, d in decreasing order.\nAnswer: 1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 + 11*o**2 + 6*o + 10. Let a(x) = 11*x**3 - 23*x**2 - 11*x - 20. Let d(b) = -3*a(b) - 7*s(b). Is d(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8388 + 1115598\/133. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022947106 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15, -0.3, 5, -2\/17, 285?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 17*a + 4*a - 371. Solve 78 = a*u - 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 11*p**2 + p - 12. Let f be t(11). Let j be (-22)\/99 + (-1166)\/18. Let r = j + 66. Sort r, f, 0, -5.\nAnswer: -5, f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000043195 to 7 dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176652909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 + -254.791. Let q = 0.209002094 - j. Round q to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(-1)*x)\/x)*x\/x**(-6))**(-32)\/(x**(1\/4)\/x*(x\/x**0)\/x)**(-14) assuming x is positive.\nAnswer: x**(-533\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 divided by -4?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 1\/5 (b) -60 (c) -409.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.18, -8.6, 5, -564?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 11:38 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-10)\/4275*9\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 5. Let y = 4 + -2. Let f(z) = 8. Let x(n) = 4. Let g(o) = 3*f(o) - 5*x(o). Give y*i(b) + 3*g(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 14}. What is prob of sequence rr?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14433 is divided by 725.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 - 21\/(-4). Let k be -5*c\/((-50)\/4). What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*z - 8 = -155*z + 46 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-7\/5))\/o**8)**33 assuming o is positive.\nAnswer: o**(-1221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 20. Let y = 212 + j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 260 = -q - 4*j, j = q - 65. Suppose 0 = -2*z - 2*z + 12. Suppose -2*l + q = z*l - 3*x, 5*x - 89 = -4*l. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by -25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16*(-1)\/9 - (-36)\/162. Let f(v) = -v**3 - 2*v**2 - 2*v + 2. Let s(k) = -5 + 0 + 2*k**3 + 2*k + 2*k**2 + 2. Calculate z*s(u) + 3*f(u).\nAnswer: u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 2 - 7 + 4. Suppose 6*h = -21*h - 216. What is y(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/5 + 31068*b**4\/5 + 80435052*b**3\/5 = 0. Calculate b.\nAnswer: -5178, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 10. Suppose -n*i + 447 = -432. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 20. Suppose -11*d + 28*d = 0. Calculate j(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + d - 9, -4*w + 17*d + 48 + 119 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 0.5, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -14, -29, -46, -65?\n\"Answer: -k**2 - 10*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2976575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - y**3 - 40111*y**4 + 40110*y**4 + 3*y**2 - y**2 + 3*y**3.\nAnswer: -y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p**2 + 2*p - 3. Suppose t = -2*w - 1, 3*t + 11 - 3 = -w. Let c(h) = -h**2. Let n(i) = w*o(i) + c(i). Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108021 is divided by 15419.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -124. Let u(s) = -s**g - 2 + 12 - 3*s - 5. Let y be (-2)\/(-7) - (-37)\/(-7). Determine u(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 8*p - 9*p + 5*r, -4*r + 75 = 5*p. Suppose 2*a + 4*s = 74, 0*a + 4*s + 88 = 4*a. Solve 0 = -a*i + 24*i - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (54 + 3) - 1) + (-16 + -14 - -36)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -496 - -496.2. What is the nearest to 2\/7 in -6\/7, j, -0.06, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -153*l + 6. Let f(n) = 6731*n - 265. Suppose 4*b - 11 + 35 = 0. Let g(a) = b*f(a) - 265*o(a). Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4841\/40 + 2361\/20. Find the common denominator of 37\/11 and o.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(243) + -1*sqrt(243)) + sqrt(243).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*p - 1966, -5*p + 2055 = 5*y + 85. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1482 - -1491. Let k(o) be the second derivative of 1\/4*o**4 + 0 + 27\/100*o**5 - 7\/50*o**6 + 3\/5*o**2 + u*o - 9\/10*o**3. Suppose k(h) = 0. Calculate h.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 421045 + -16142?\nAnswer: 401603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -620\/7 (b) -18 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/304?\nAnswer: 3\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -132 (b) -1\/7 (c) 2\/19 (d) -2\/11 (e) 1.7 (f) 4 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose 0 = t*u - 5*s + 10, -4*s = -3*u - s - 6. Suppose 0 = -8*g + 4*g - p + 20, 5*p + 20 = u. Solve v - 4*i + 8 = 0, -v - i + g = 2*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4640*m = -4641*m + h - 6, 0 = 2*m + 5*h - 37 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42506, 61735, 80964?\nAnswer: 100193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 1. Let i be o(2). Suppose 0*n - i*n + 12 = 0. What is the derivative of 4*d + d**2 + 2 - n*d wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - 8. Let d be ((-6)\/(-5))\/(3\/n). Let c be 27\/d*(-4)\/6. Solve j + w = -c*w + 2, -2*j = 3*w - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1\/2, -191 in decreasing order.\nAnswer: 1\/2, 1\/6, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36412 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (500\/(-80))\/((-1)\/(-880)*-1). What is z rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n + 0*n)*(3 - 3 - 2)*(-3 + 0 + 4).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 749.8, -65, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, k: 5}. Give prob of picking 2 h and 1 k.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a + 2. Let w be f(-2). Suppose -2*t + 2 - 3 = -n, -5 = -n. Solve -g = -t*g - w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and -65\/483?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**4 + 3*u**3 + u**2 - 2. Let l(c) = 3*c**4 - 105*c**3 + 2*c**2 - 4. Let t(q) = 2*g(q) - l(q). Factor t(a).\nAnswer: a**3*(a + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5922 or -5924?\nAnswer: -5924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29424799*q**6 + 2419417*q**2?\nAnswer: -3530975880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 + r - 3. Let f be 2 - (1 + 0)*-6. Let o = 11 - f. Suppose 2*j + 6 = -0*n - 2*n, 4*j - o = n. Determine w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 42. Calculate n(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*1*6\/(-4). Let z(c) = 5*c**3 + 3*c**2. Give z(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17346 + -9389. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -281*r + 276*r. Is r != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 79*l + 1735. Let p(w) = -35*w - 868. Give 4*m(g) + 9*p(g).\nAnswer: g - 872","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-3)\/(-15)*18)\/((-786)\/(-2620)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12548679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 4. Let g = k - 0.4. What is the third biggest value in 0.3, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r + 11. Determine z(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251*f**4*m**2 - 6*f**3*m**2 + 2*f**2*m**2 + 2*f**2*m + 1046*f*m + 2*f wrt f?\nAnswer: 6024*f*m**2 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + -174 - ((1 - -5) + -45 + 43).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -26. Which is the closest to 1? (a) j (b) -2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 61\/2*m + 2121\/4 + 1\/4*m**2 = 0.\nAnswer: -101, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/1086, 1, 4, -9, 5?\nAnswer: -1\/1086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63a5ebf - -1?\nAnswer: 63a5ec0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -4*k + 2*s - 25, 7*s - 20 = -k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-31 + -7 + -5 + 0 + 4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - 10101110111010?\nAnswer: -10101110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -5\/2 (c) -0.4 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 6. Let u be a(8). Suppose u*j + 1 = 5. Solve 4*w + j + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -6) + (-780)\/26\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-160))\/(3\/(-135))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/17)*j*j))\/(j\/(j\/(j**(-3\/2)*j)))*(j\/j**(1\/5))\/((j*j**(-6))\/j) assuming j is positive.\nAnswer: j**(1051\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 107 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 129. Let s(t) = -t**3 - 8*t**2 - 7*t + 6. What is the remainder when n is divided by s(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 10*t**2 + t + 2. Give a(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 254080.05 nanoseconds?\nAnswer: 0.0000042346675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4923?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 93893290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 110111111110?\nAnswer: 110111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 2 + 1 + -5 + 16 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, -0.4, -7\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -521*(-3 - (-2 - 2)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 - 3*y + 1. Let r be c(3). Let p = -24 - -33. What is the greatest common divisor of r and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 3:30 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -5, 3.35?\nAnswer: 3.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-37 - (4 - 5)) - 64.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(304) + -5 - sqrt(304)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 287*p = -289*p + 13, -5*p + 40 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 67, -2\/3, -4, -0.1?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -59. Suppose 2*j = -d*j + 920. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 13*j**2 + 16. Let z be s(-13). Solve 0 = 3*p + p - z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30605072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 613.0271099 - 744.027091. Let l = t + 131. Round l to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Suppose -3*p = i + 6 - 18, 2*i + 2*p = 16. Let h(f) = f**2 + 6 - i. Let g(t) = t**2. Let m(q) = -3*g(q) + 6*h(q). What is m(z(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (334\/(-4))\/((-4)\/(-482)*(-2)\/8).\nAnswer: 167, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from pmnpq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - m**2 - 12*m + 11*m - 2*m to the form u + o*m**2 + z*m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203470?\nAnswer: 2, 5, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -493 and 0.04?\nAnswer: -19.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4, 1, 16026 in ascending order.\nAnswer: -5, 1, 3, 4, 16026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110010101000 + -10111111110?\nAnswer: -100001001010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(3 + 45*i**2 - 90*i**2 + 46*i**2 - i).\nAnswer: -i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -1, 13\/360, -2, 3\/4.\nAnswer: -2, -1, -0.4, 13\/360, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - h + 3 = -3*c, -h + 8 = 2*c. Suppose -k - 32 = -c*k. Let d(w) = -2*w. Let i(y) = -2 + 2 - 6*y - 1. Calculate k*d(t) - 3*i(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6321 - -0.9321. Let l be 8\/(-2)*(-10)\/8. Suppose -l*o - 14 = 2*j, 12 = -0*j - j - 5*o. What is the smallest value in -0.4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1756, 14384, 48674, 115456, 225560, 389816?\nAnswer: 619054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -233*z**2\/7 + 494*z\/7 - 8.\nAnswer: -(z - 2)*(233*z - 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 341057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-102)\/18)\/(-3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9)\/((-13)\/39)*27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/7)\/(12420\/36225)*-1*(-4)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/5 (b) 0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.5, 0.0758, 2, -0.08, 23?\nAnswer: 0.0758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 620475\/525008 - 1\/47728. Let w(l) = l**2 - 2*l + 1. Let j be w(1). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1011*f*g**2*k - f*g*k - 18*f*g + 2*f*k - f - 118*g**2*k + 454*g**2 + g + 38*k - 3 wrt g.\nAnswer: -2022*f*k - 236*k + 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*v - 23, -5*d + 412 = -5*v + 427 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587248 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -536 and 0.56.\nAnswer: -535.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(3 + -1)*-1. Let v = 3 + i. Let o(j) = -5*j - 3. Let p(u) = 56*u + 34. Let l(b) = 68*o(b) + 6*p(b). Calculate l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:29 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 966, 3857, 8676, 15429, 24122, 34761, 47352, 61901?\n\"Answer: i**3 + 958*i**2 + 10*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*x + 6, -4*i + i + 3 = x. Solve -6 + 0 = -x*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 1494 - 1835. Let t be 867\/(-9)*(-21)\/1. Find the third derivative of 2023*f - t*f + v*f**2 - 16*f**6 wrt f.\nAnswer: -1920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22*p**2 - 10*p + 16. Let k(d) be the second derivative of -33*d - 1\/2*d**3 + 7\/12*d**4 + 0 + 5\/2*d**2. What is 5*h(u) - 16*k(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16759\/17 - 8917777\/9044. What is the common denominator of -89\/532 and z?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 32 + 1*(-3 - -3). Suppose q + o = 2*k + 4*q, 3*k = 4*q + 75. Suppose -5*r = -142 - 383. Calculate the greatest common factor of r and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 87*w**2 + 75*w**2 + 0*w**2.\nAnswer: 145*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -0.27, -10, -2, -2\/51.\nAnswer: -350, -10, -2, -0.27, -2\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14452894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-9 - (10 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = 3, 4*z - 5*q = 615. Suppose r - 2*r = -z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -516 - -518. Solve 0 = y*a + 19 - 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzigizzzgiighg. What is prob of picking 1 g and 1 i?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/4, -120, -18\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4 - 483\/84) + 43 + -1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3085.5902 - -3086. Let s = -0.4298004 + w. Let r = -0.02 - s. Round r to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77274?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - 1) - (-6 + (0 - 12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4 + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = -b - 4*x + 909, 39*b + 123 = 2*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-1913450)\/(-33))\/7)\/((-4)\/(-7200)). What is c rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-315)*21\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55663*q**4 + q**2 - q**3 - 55636*q**4 - 2 + 5 - q to the form d*q + s*q**4 + h*q**3 + w + b*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000078269 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 + 6*k - 1. Let s(d) = 5*d**3 - 7*d + 1. Let u(f) = 4*j(f) + 3*s(f). Let p(c) = -4*c**3 + 2*c - 1. Determine -3*p(h) + 2*u(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j**2 - 35*j + 15 = 0. Calculate j.\nAnswer: -1, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.2 + 62.2. Let x = -0.42 - -0.02. Which is the nearest to m? (a) x (b) -21 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3322, 28371, 96382, 228841, 447234, 773047, 1227766?\nAnswer: 1832877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o + 3172611 + 54*o**2 + 13*o - 3172613.\nAnswer: 54*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2374201+-23.2\nAnswer: -2374224.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.74 - -31. Let x = l + -0.3. Is 3\/2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 9*m**2 - 16*m + 71. Is u(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -q - 4*c - 3, -4*q + 4*c = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -4, 4, 2, -5 in descending order.\nAnswer: 4, 2, -4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 428 + -313. Let s = p + 148. List the prime factors of s.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*j - 330*j + 4094 = 878 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -202 - -206 - ((4 - 1) + -7 + -51) - 9\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610909.9 meters to centimeters.\nAnswer: 61090990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575.2 - 575. Which is the nearest to 3? (a) 0 (b) 3\/5 (c) -0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + y**3 + 1 + (-2*y**2 - y + y)*(-6*y + 0*y + 2*y) - 3*y**3 - 2*y**3 + 3*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 - 1251*l**2 - 130965*l - 129717 = 0. What is l?\nAnswer: -213, -203, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 30\/(-315) + 55\/(-84)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**3 - 2*s**2 - 2*s + 1. Give l(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 13*x - 13. What is p(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {j: 1, k: 1, t: 5, z: 3, g: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, k: 5, n: 1, g: 1, u: 3, j: 1}. Give prob of picking 1 k, 1 u, and 1 h.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-30) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009874820286 to seven decimal places.\nAnswer: -0.0009875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**6\/3 + 5*z**3\/3 - 7. What is the third derivative of s(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 60. Let v(m) = 8*m**2 - 5*m. Determine a(v(d)).\nAnswer: 8*d**2 - 5*d + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.4. Let m = d - -0.2. Let l = 0.05 + -0.05. Which is the closest to l? (a) -2\/9 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3051.536778 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 0.018, -5, -318\/5?\nAnswer: -318\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 - 6*h + 3. Let g be r(-6). Find the third derivative of g*z**4 + 31 - 31 - 2*z**4 + 5*z**2 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h. Let z = 9 - 0. Let i(x) = 2*x - 10. Let t be i(z). Let j be q(t). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(336\/(-54) - -6). Sort 789, c, 0 in decreasing order.\nAnswer: 789, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-4*3 - ((-3*sqrt(425) - sqrt(425) - sqrt(425)) + 1))**2.\nAnswer: 70*sqrt(17) + 20826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -253\/9883542?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 13. Let h(u) = -4*u + 40. Let l(k) = 6*h(k) + 20*z(k). What are the prime factors of l(-17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 73*w**2 + 40 - 18.\nAnswer: 73*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.06 - -0.06. Let g = y - 1. Let i(r) = r - 17. Let m be i(16). Which is the third biggest value? (a) g (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 bigger than -10\/38473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -470, -956, -1456, -1976, -2522?\n\"Answer: -r**3 - r**2 - 476*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -354485.69596 - -5\nAnswer: -354480.69596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(272)*-6 + -6*(3 + sqrt(272)) + 4 + 1)*-6.\nAnswer: -288*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353001 and 16890.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l + 17425 = -36*l + 9*l - 79*l for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.17 + 16.07. Let v = -3 - 1. Let z = v - r. What is the closest to -2\/5 in -5, z, -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let l = k + -8. Suppose r - 1 = -4. What is the closest to 1 in r, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:06 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37772 times -0.05?\nAnswer: 1888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 1197\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*r**2 - 267*r**2 + 11*r**2 - 9*r**3.\nAnswer: -9*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + x - 12 = 3*m, 2*m = 4*x - 6. Solve -4*c = -j + c + m, 2*j = 3*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1. Let j(m) = -5*m + 4. Determine -j(p) + 6*l(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -101931 less than -101930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222012 - -21021232?\nAnswer: 20133220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14371 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 - 451. Let w = 303 + z. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + o - 2*o + (1 - 5 + 2)*(0*o - 3*o + o) + 0*o - 2*o + o)*(-165*o + 168*o - 338 - 101).\nAnswer: 21*o**2 - 3073*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -166*d**2 + 1017*d - 18. What is y(5)?\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57573296 a multiple of 1754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71\/30 + 32\/15. Sort v, -0.3, -1\/3.\nAnswer: -1\/3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 373 = -2*u, -u - r + 120 + 56 = 0. Suppose -y - u = -5*x - 4*y, x - 2*y - 28 = 0. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + -1 + 1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 11*k - 1 + 12 wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 11 (b) 4 (c) -4 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -261.7? (a) -0.4 (b) -341 (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.03 and -4.\nAnswer: -9.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 42*h**2 + 17*h + 274. What are the prime factors of k(22)?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from xiiaxxxffifx?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7395782819.\nAnswer: 463, 15973613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2106 divided by -18\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, 20, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l**4 + 38*l**5 - 19*l**4 + l**5 + (-2*l + 3*l + l)*(-4*l**4 + l**4 + 2*l**4) - l**5 + 2 - 2.\nAnswer: 36*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 657*q - 3. Let d(i) = -1279*i + 5. What is -3*d(n) - 5*y(n)?\nAnswer: 552*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2411 = 38*y - 363. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48909321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7089287*a**2*l - 2*a**2 - 31*a*l - 422*a - l - 3 wrt a.\nAnswer: -14178574*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, -4, -353 in increasing order.\nAnswer: -353, -17, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:45 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -19 + 25 + 0 + -22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 1, -3, -56, 0, 3 in decreasing order.\nAnswer: 32, 3, 1, 0, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) 97 (d) 11\/6 (e) 272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/14*12\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789551?\nAnswer: 3, 198839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1199249, 2398482, 3597713, 4796942, 5996169, 7195394, 8394617?\n\"Answer: -c**2 + 1199236*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-52)\/6)\/(-2)*(1 - -2). Suppose -n*k - 2 = -12*k. Let v = 4 + -4.1. What is the nearest to -1\/8 in k, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*i**6 - 55*i**5 - 3*i**3 - 11210*i**2 wrt i.\nAnswer: -2520*i**3 - 3300*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*a**3*h**3 + a**3*h**2*m**2 + a**2*h**3*m + 2*a**2*m**2 - 17*a*h**3*m**2 + 2*h*m**2 wrt a.\nAnswer: 84*h**3 + 6*h**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 3*z)*(2 + 2 - 5)*(0*z**2 - z**2 - z**2) to the form q*z + d + j*z**2 + n*z**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -37. Let u(s) = s**2 + 7*s + 10. Let t be u(-11). Let r = t + -48. Calculate the least common multiple of r and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60479609 or -60479613?\nAnswer: -60479609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -1.03. Let m = -0.2 + 0.2. Sort w, m, 2 in descending order.\nAnswer: 2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -154, -153, -144, -121, -78, -9, 92?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*d**3 + 2*d**2 - 464 wrt d.\nAnswer: -609*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -319*d**3 + 31*d**2 - 2*d - 37. Is f(-3) a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 + 50*p**2 - 15*p - 3 wrt p?\nAnswer: 6*p + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {l: 5, u: 8, i: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/60 + l**5\/60 + l**3\/6 - 2*l**2 + 8*l - 41. Let o(i) be the second derivative of t(i). Give o(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:19 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 39\/2156?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -2*s. Let i be 129\/27 - s\/18. Solve 2 = -i*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*g - 14065 = -4705, 4*z + g - 37489 = 0. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sasvlalral. Give prob of picking 1 v and 2 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1480.02 + -6.02. Let g = -1460.06 + t. What is g rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15*m = -120. Solve -m = 2*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 47735?\nAnswer: -47706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from qqqhqqqhqqqhhqqqqh?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 385922 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/108307318 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 289 + 274 = 0. What is the remainder when 34 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2 + 6 + l**3 + l + 9*l**2 - 4*l**2 - 4. Let t(b) = b - 2. Let m be t(-3). What is u(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w + 1815. Determine s(67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 4, j: 4, i: 2, n: 1, m: 1}. Give prob of sequence mnp.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.05053 - -5.05. What is l rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369632520.\nAnswer: 2, 3, 5, 1026757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k + 87*k = -169312. Let n = k + 175656. Round n to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -245, -803, -1863, -3587, -6137, -9675?\n\"Answer: -27*a**3 - 8*a**2 - 5*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**7*d\/((d*d*d**(11\/5))\/d)*d**(4\/9)*d assuming d is positive.\nAnswer: d**(281\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 8*j**3 - 4*j**2.\nAnswer: -j**2*(j + 2)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16137 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -211222 (base 3) to base 8\nAnswer: -1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 - 105 = -5*v - 2*t, 5*v = t + 230. Suppose 69 = 3*l + 2*m, -2*m + 134 = 5*l - 5*m. What is the remainder when l is divided by (2 - -18) + (-270)\/v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (534\/15)\/(6\/15). Suppose -l*x + 9 = -86*x. Suppose 0 + 0*u - 2\/5*u**4 - 2\/5*u**x + 0*u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - x + 5*x - 18*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 6 - 14)*(3131*q**2 + 726*q**2 + 10450*q**2) + 2*q**2 - 2 + 2 as c*q**2 + t*q + m and give c.\nAnswer: -228910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 464 - -4?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1132102 (base 4) to base 5\nAnswer: -143114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*s - 3*s + 2 + 1 as r + u*s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 173*u + 23. Give q(57).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500221 (base 7) in base 14?\nAnswer: 845b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*u - 16 = -10, -3*u - 9 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*m*o**2 + 5*d**3 - 159022*d**2*m*o**2 - 2*d**2*m*o - 3*m*o - 4*m - 16919*o wrt o?\nAnswer: 4*d**3*m - 318044*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 251 - 244. Solve 10 = m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1361469, -1361468, -1361467, -1361466, -1361465?\n\"Answer: c - 1361470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1151 + 27625\/24. Let l(w) be the first derivative of -z*w**6 + 0*w**4 + 1\/8*w**2 + 2 + 0*w + 1\/6*w**3 - 1\/10*w**5. Factor l(k).\nAnswer: -k*(k - 1)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, 12\/23, 2, -18?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-24 + 12 - -9) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 - -0.17. Which is the third biggest value? (a) s (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/4)\/((-14)\/(-12) + -1). Let k = -51 + q. Let u(v) = -v**3 - 9*v**2 + 27*v + 11. Is 9 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*p + 58, -93 = -4*z - 3*p + 41. What is the lowest common multiple of z and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t + 38. Is y(0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l + 7. Suppose -5*o = 12 + 23. Let h(g) = 2*g + 2. Determine o*h(w) + 2*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (357\/(-343) - -1)\/(-5 + 276\/56). Let n*v + 3\/7 + 1\/7*v**2 = 0. What is v?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 - 379*p**2\/5 - 856*p\/5 - 156\/5 = 0.\nAnswer: -2, -1\/5, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 11\/3*g**3 + g**2 - 1 + 0*g. Find the second derivative of p(y) wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*b**4 - 244.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51568 or 51569?\nAnswer: 51568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24937, -24925, -24913, -24901?\n\"Answer: 12*d - 24949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - 0.2. Let g = 0.13846 + 2.86154. Which is the smallest value? (a) -0.4 (b) r (c) g (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(56\/91) + (-7)\/((-35)\/(-135))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.659 or 0.5?\nAnswer: -5.659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164.2 + -75.6. Let y = 5090180714 - 5090180625.400001098. Let o = y - v. Round o to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 276, 279, 282, 285?\n\"Answer: 3*v + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.887824203 to 4 decimal places.\nAnswer: -2.8878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0307 and 4.4.\nAnswer: 4.3693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/7 + 38*b**3\/7 - 226*b**2\/7 + 70*b - 300\/7 = 0.\nAnswer: 1, 3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*z - 211 - 398, o = -4*z + 228. What is the greatest common divisor of 3068 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a factor of 96602109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 11. Let z = 20 + -14. Let x be p(z). Let q be (-7)\/20 + (-3)\/x. Which is smaller: q or 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1001 + 1118. Solve -w - b = 4*t - 133, -5*w = -3*t + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 53212\/42509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3\/3 + 11*n**2\/2 + 6*n + 2. What are the prime factors of u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -47955\/856?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/19782 and -107\/5652?\nAnswer: 39564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5616? (a) 89 (b) 5\/8 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618878118 a multiple of 6793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16913 (b) -0.1 (c) -3.9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.25 + 3.75. Which is the second biggest value? (a) 0.03 (b) -0.027 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11185*a*r + 366*a - 7 wrt r.\nAnswer: 11185*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*d = 5, 0*d + 5*d = -4*v. Suppose 0 = 2*w - v*w - 33. Let a = w + 23. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -454 (c) 0.71 (d) 2 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v)\/v**(3\/7)*v**(-10)*v*v**(1\/5) assuming v is positive.\nAnswer: v**(-183\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 6 = 2*t. Let n be 30\/t*12\/20. What is the smallest value in -4, n, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmmdmdmo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+1546304358.044\nAnswer: 1546304358.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from rfro?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 24. Let o be p(-7). Let x = 138 - o. What is the third derivative of -43*z**5 - 1 - 100*z**2 + 1 + x*z**2 wrt z?\nAnswer: -2580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*s**2*v*z**3 + 2*s**2*z**3 - 2*s**2*z + 2*s*v*z**3 - s*v*z - 1005*z**3 wrt v?\nAnswer: 9*s**2*z**3 + 2*s*z**3 - s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - 6. Which is the biggest value? (a) 0 (b) 4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -32. Let b be -9 - (4 + 2*u). Suppose 8 = -4*o - 4. Sort -4, b, o in decreasing order.\nAnswer: o, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437710.\nAnswer: 2, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4585168844.\nAnswer: 2, 19, 60331169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/740 and 109\/6.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*c - 7*o + 2*o, 4*c - 128 = 4*o. Suppose -d = -5*b - c, -d - d - b = -123. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 - 0.08. Let n = 0.059 - 0.059. Which is the closest to -2\/5? (a) n (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 8*d + 5*d - 7*d + 0*d - 5*d + (d - 3 + 3)*(3 + 2 - 3) as m + h*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 + 163*q**2 - 1434*q - 99792 = 0. Calculate q.\nAnswer: -168, -22, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 113, 198, 327, 506, 741, 1038?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000686961 to seven dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-16))\/(1\/6). Let l = -5 + 8. Do l and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 529 + -528.98508. What is d rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 7\/(-7)) + 9\/3. Let l be (-1 - d)*37\/148. Is 3\/181 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -200?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 97*j**2 + 56*j + 214. Let y be w(48). Calculate the greatest common factor of y and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7502 + -3929. Let u = 3573.000001529 - s. Round u to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (sqrt(240) - sqrt(15)))*-4)\/sqrt(5).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(128))*6 + -3)**2.\nAnswer: -864*sqrt(2) + 4689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656206056.\nAnswer: 2, 3, 163, 934613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*p - 116, 2*w - 27*p = -24*p + 204. Calculate the greatest common divisor of 4096 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 9961*x\/2 - 19921\/4.\nAnswer: -(x - 19921)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33378, -33376, -33374, -33372?\nAnswer: -33370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.9 + 23.44. Let i = j - 0.54. Let h = 5.04 + -0.04. Sort h, i, 4 in decreasing order.\nAnswer: h, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37079 (base 11) to base 15\nAnswer: -10c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 103 = 391. Let w = 24 + s. Solve 0 = -5*t - 3*i + w, -2*t = i - 0*i - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/25? (a) -0.06 (b) 1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i**2 - 16*i + 2. What is l(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/97? (a) -4\/9 (b) -20.3 (c) -24 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a + 74. Let f be k(20). Let p = -83 - f. Solve -4*j - 11 = -d, 2*j + p*j = d - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 4, j: 1, f: 7}. Give prob of picking 2 f and 2 o.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 15) + -6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323133835 a multiple of 8895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d + 17*d + 10*d - 47*d - 190*d**2 + 10*d as x*d + z + s*d**2 and give s.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2509*m**4 + 4*m**2 - 2*m + 3?\nAnswer: 60216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r**2\/3 + 528431*r\/3 - 32026 = 0. Calculate r.\nAnswer: 2\/11, 48039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*r = 638*r - 726 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207860 is divided by 69101.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0371529 rounded to three dps?\nAnswer: -11.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 6 - 24. Suppose -7*d + 262 = -4. Let o = d - 29. Solve -4*y + 2 = 5*q + o, y + 7 = -n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c + 20. Let a be x(0). Let y(k) = -2*k**3 - 3*k**2 - 6*k - 3. Let z be y(-2). Let g = a - z. What is the lowest common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + p - p)*(414*p**2 + 785*p**2 - 764*p**2) to t + c*p + f*p**2 + i*p**3 + x*p**4 and give x.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854 = 12*f + 1767 - 1345 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 785 and 201883945?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 37*l + 6. Calculate the remainder when s(-21) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 13. Suppose s = 2*n + 4*m - 23, -5*n + 2*m = -54. Let q be (-8)\/n*(-2 + -1). Solve -z - w = -0 + 3, 4*z + 6 = -q*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15*125\/(-60)*(-56)\/20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*p - 114, -h + 129 = 2*h + 3*p. What is the highest common factor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -4*f**3\/3 - 138*f**2 - 4320*f + 7416. Solve u(g) = 0 for g.\nAnswer: -45, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/451 - ((-1642)\/41 - -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.8. Which is the closest to w? (a) 0 (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 7?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 19*p**2 - 19*p + 23*p.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (0 + -3 + 0). Which is the closest to 3\/2? (a) y (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 4.5, 5, 2, 4, 1\/3, -0.13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3 + 3)*(2*k**3 + 6*k**3 - 2*k**3) - k**4 - k**4 + 0*k**4 + 6*k**3 + 3*k**4 - 6*k**3.\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 45691\/60 + -3063\/4. Calculate the common denominator of 151\/270 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -301.6, -3, -12, -0.026?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2 + u**3 - 2*u**2 + 0*u**2 + 0*u**3. Let t = -141 + 143. Let w be b(t). Solve -5*g + w*c = -3*c - 15, g - 3 = 2*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*s)*(-538 + 1021 + 4130)*(1 - 2 - 2).\nAnswer: 27678*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)**(1\/30)*(h\/(h\/((h*h**(-1\/4))\/h)))**13)\/((((h*h**(-4))\/h)\/h**(-2\/7))\/(h**(-1\/3)*h**(-2))) assuming h is positive.\nAnswer: h**(-257\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 507020 and 26669252.\nAnswer: 133346260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 10*o**2 - 10*o + 13. Let y be u(9). Suppose 0 = 5*l - 0*a + 5*a - 30, 1 = l - y*a. Suppose -235 = -l*m + 2430. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 13*c**6\/6 - 19*c**3\/3 + 26. What is the third derivative of r(k) wrt k?\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 22*q**2 - 2*q - 44. Let g be i(-22). Suppose g = -2*j + 790 + 824. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*j + 3 - 3 = z + 216*j, 27*z = -3*j + 150 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.206 - -0.32442766798\nAnswer: 0.53042766798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3886 + -3914 + 2 + 96.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624240 and 2805?\nAnswer: 6866640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 + 51 = 4*p. Suppose -2*t + 7*t = 0. Let h(j) = -j**3 - j**2 - 2*j + 10. Let z be h(t). Calculate the highest common factor of z and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 10*d + 70928 = d. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -687*(-2)\/(-344) - -4. Let h = s - 131\/344. What is the third biggest value in h, 4, 54?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/2 - -1) + (2520\/(-756) - (-282)\/36).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shvs when four letters picked without replacement from {h: 4, s: 8, v: 8}?\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 223 = d. Suppose 32 = s + 3*s. What is the smallest common multiple of s and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45162.76 kilograms in nanograms?\nAnswer: 45162760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) -9 (c) -6 (d) 0.1 (e) 3.9 (f) -7 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645 and 1015?\nAnswer: 130935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -188380, -187756, -187132, -186508, -185884?\n\"Answer: 624*h - 189004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/1 - -4)*3 - 3. Let w(u) = 0*u + a*u + u. Let s(n) = 6*n. Determine s(w(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 420 + -2?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90\/881 or 0?\nAnswer: 90\/881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**7\/168 - 41*s**5\/30 + 60*s**2. Let w(n) be the third derivative of c(n). Let b(q) = -4*q**2. Calculate w(b(l)).\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.72 + 1.791. Let p = j - -0.429. Suppose -2*h + 6 = y, h = 4*y + 4*h - 9. What is the closest to y in p, -3\/2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63\/25 - -1903\/775. Sort t, 0.2, -14 in ascending order.\nAnswer: -14, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 10*p + 4. Let z be y(-8). Solve -z = 5*i, 2*s - 2*i - i = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -18*a - 20*a - 4*w - 312, 2*a + 21 = w for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 - 3*f - 3. Let b be v(2). Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(175\/225*(-60)\/(-42))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -4*(1 - 0). Let h(x) = -6*x + 0*x + 7*x + k. Let v(c) = 9*c + 21. Calculate -21*h(t) + 2*v(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 263072 from -137799222.\nAnswer: -138062294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 467480 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 39 - 9. Suppose -n = -o - 4*o. Suppose -o*h + 25 = -h. Solve -4*d - 11 = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v*v*v*v**(-4\/3)*(v*(v\/(v**(1\/4)*v)*v)\/v*v)**(1\/3)*((v**(2\/17)*v)\/(v\/v**(-2)))**(29\/5) assuming v is positive.\nAnswer: v**(-2947\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330740 is divided by 323.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, u: 7, r: 2, x: 9}. What is prob of picking 1 v, 1 r, and 2 u?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3127, 3168, 3205, 3238, 3267, 3292?\n\"Answer: -2*z**2 + 47*z + 3082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 20273 - 3312. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let l(p) = -112*p. What is x(l(w))?\nAnswer: -112*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 - 2*b**2)*(-3*b + 0*b + 5*b + (-2 + 2 - 2)*(0*b + b - 3*b) + 3 + 1 - 6 + 5*b).\nAnswer: -22*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*z - 17497 - 13543 = 299*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = 0, 5*l - 3 = -o - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.07 - 1.172. Let f = c + 0.11. Let x = -0.045 - f. Round x to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)*(9\/(-27))\/((-6)\/(-9)). Suppose 0 = -5*c + 65 - 15. Let p(z) = c - 2 + 2*z - 2 + q. Give p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1*3 + -1*sqrt(272)*5)*1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 2*m + 1. What is z(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 + 131560635*w**3 + 1288*w - 78364.\nAnswer: -12*w**2 + 789363810*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -4.9. Let j = 3 - 3.1. Which is the closest to j? (a) -1 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20229.08261 + 20229. Let a = -0.0793 - d. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5232*b = -5236*b - 32 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423 + 222. Let d = 324 + y. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 0 + (-8 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -64 + 83 + -49?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -80012*3\/(-6) + -6. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 16. Let l(v) = -v**3 + v**2 - 6. Let u be l(2). What is i(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50093858 greater than or equal to 50093856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 32*p - 14*p = 17*p - 40, 7*j = -23*p + 27*p + 235 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -523143633*l - 222897443 wrt l.\nAnswer: -523143633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13. Let d be (0\/m)\/(12 + -13). Is 0 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -11 + 2 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8545986nm?\nAnswer: 0.0008545986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4720176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0392764 to 4 dps.\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.4836ng in kilograms?\nAnswer: 0.0000000008464836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1553 + 1600. Is 54 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-12)\/56*28. Suppose -h = 3*l + 75. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + 9. Suppose x + 35 = 4*d. Let w be -1 + 3 + d\/(-12). What is the nearest to -1 in -0.1, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ennjedu. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -86. Let v = 10 + m. Suppose 0 = -v*p + p - 5*c + 61, -2*c - 74 = -2*p. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/((w**0\/w)\/w)))*w\/(w*w**12\/w))**15)**10 assuming w is positive.\nAnswer: w**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21770 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = 12*k + 4*q - 67, 2*k - 112 = -3*q + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 87. Let l(t) = 852*t - 431. Determine 5*i(s) + l(s).\nAnswer: 857*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -88*i**2. Let y(b) be the third derivative of -b**5\/15 - 155*b**2. What is p(y(o))?\nAnswer: -1408*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 24*t - 21. Give b(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 126*c**2 - 2232*c - 29603. Give b(101).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14001414 (base 5) in base 4?\nAnswer: 202120323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -377 - -638. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15007 = -504*r + 113 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:46 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386699326?\nAnswer: 2, 13, 14873051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*g + 10107, g = 3*g + 3*k - 6736. Let n be -2*(-1)\/8 + 1368\/288. Suppose -2*h = 3*x - g, -3*h - x + 5099 = -n*x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44\/9 of a day?\nAnswer: 7040","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*k + 87*k - 2*f - 58061 = 0, 3*f - 6 = 0. What are the prime factors of k?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7032 = -b, 2*b - 14056 = -311*n + 307*n. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -567374650.9191876 - -567374901. Let b = r + -251.8808. Let l = b + 1.8. What is l rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1777 + -71071\/40. What is the common denominator of d and (-26)\/(-65) - 3\/(240\/862)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8104 + 2413. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 499*u + 301*u**3 + 289*u**3 + 2*u**5 + 321*u**3 - 866*u**3 wrt u.\nAnswer: 40*u**3 + 270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -184.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*z - 163*z = -5705 + 33845 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-272) - (-104)\/(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b + 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - 6*f + 2. Let j = 23 - 29. Determine r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 32*s**2 + 27*s + 58. What is the remainder when a(-33) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49956 (base 12) in base 9?\nAnswer: 161873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/167557 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 2*w**3 - w**3)*(w**2 - w**2 - 2*w**2) + (2*w + 9*w - 3*w)*(-89*w**4 + 19*w**3 - 19*w**3).\nAnswer: -714*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/630 + g**6\/40 + 3*g**5\/20 + 3*g**4\/8 + 26*g**2. Factor q(j).\nAnswer: j*(j + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48)\/((sqrt(72)\/sqrt(6))\/sqrt(3)))\/(2*sqrt(2646)*-4).\nAnswer: sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 97, -440 in increasing order.\nAnswer: -440, 0, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6) - 3\/9. Let h be (5\/(-2))\/(m\/(-2)). Suppose -2*o + 17 = h. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1020121022?\nAnswer: -1020121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 269, 265, 257, 245?\n\"Answer: -2*d**2 + 2*d + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 15860624.\nAnswer: 79303120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593 + 590. Let w(f) = f - 2. Calculate w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207, 826, 1859, 3306?\n\"Answer: 207*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294143*h + 17257*h - 180817*h + 37696*h.\nAnswer: -420007*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 5*g - 6*g)*(-3 + 3 - g**2) + g**3 + 3*g**3 - 2*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*c + 212 - 1781 = -157 + 1598 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.98130627 to two dps.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27400 is divided by 199?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4626.06 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.39233958 to 3 dps.\nAnswer: 4.392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**3 + 18*m**2 - 26*m. Let u(g) = 16*g**3 + 32*g**2 - 50*g + 1. Let a(f) = 7*l(f) - 3*u(f). What is a(-31)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(((b*b**4)\/b*b)\/b))**2*((b*b**(-2\/11)\/b)\/(b*b**(-2\/7)*b*b*b))\/(b*b**(1\/2)*b*b)**36 assuming b is positive.\nAnswer: b**(-9540\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-51)\/(-12). Suppose -d = a*j - 8, -3*d = -2*d - j - 3. Suppose -d*m - 24 = -7*m. Calculate the lowest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21977711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13855 - (-9 - 40\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 211468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/2 - 6*i. Let g(r) = -8*r**2. Determine g(l(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**8)\/j**(1\/6))\/(j**6*(j**(2\/5)*j)\/j) assuming j is positive.\nAnswer: j**(-407\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 4*t - 51. Let l = t + -26. Let y = l + -9. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjtdtyddztded. Give prob of picking 1 e, 1 y, and 1 d.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 670080180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171739?\nAnswer: 263, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 20 + 3 = -i, 40 = 5*b - 5*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/3)*w**1*w**2*(w\/w**(-3\/2))\/w*w)\/(((w*w**(-1)*w)\/w)**(-7\/6)\/(w**1)**33) assuming w is positive.\nAnswer: w**(235\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-130) + (-176)\/30 - -5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*f - 1, 4*h + 35*f = 34*f + 79. Suppose 0 = -2*j + 2*b + 3*b + 6, j - 3 = 4*b. What is the remainder when h is divided by 3\/9 - (-11)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - y**2 + 2*y**2 + 0 + 2*y + 0 to d*y**2 + a + h*y**3 + m*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.4 - -1.4. Let t = s - -57.38. What is t rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3\/3*-11. Let k = f - 7. Factor 3*c**3 - 3*c**4 - 4*c**3 - c**5 + 5*c**k.\nAnswer: -c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (585\/(-100)*24\/9)\/(3\/(-5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (11 - (6 + 0)) - -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 60. Suppose -q + n*l + 217 = 0, -q + 5*l + 154 = -78. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (257960\/100)\/((-2)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1774 in -2\/7, -1\/4, 5, -2\/3, 2.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 21*u**2 + 5*u + 43. Is y(-10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -16. Suppose 5 = 3*q - 0*g + g, 5*g = -3*q - h. Let a(b) = b**3 - 3*b**2 + 4*b - 3. Determine a(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 262*d**3 + d**2 + 3*d + 2. Let a be u(-1). Let s be a*1\/(-13) + 2\/(-13). Solve 4*w - s = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0485 and 57.\nAnswer: -2.7645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*j + 154*j - 2*d - 10, -5*j + 2*d + 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -1\/6, 1, 20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (20 + (13 - 53))) + 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57*-15*2\/(-18). Let p be (-19)\/t*1630\/8. Which is greater: p or -41?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.54 (c) 93265 (d) -4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*w**2 + 48*f*y + 76*f + 2753*w**2*y**2 - 2*w*y**2 - 2*w*y wrt w?\nAnswer: 12*f + 5506*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**3 - 5*y - 470 - 2*y**3 + 1722 - 54*y wrt y?\nAnswer: -3*y**2 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/3*z + 56 + 2\/3*z**2.\nAnswer: 2*(z + 2)*(z + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -13 - (1 - -17)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71711\/336 + -4534\/21. What is the common denominator of z and -13\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 79*m**2. Let c be t(2). Let d = c + -222. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:46 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 2 in descending order.\nAnswer: 12, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**4\/3 + k**3 - k**2. Let i be ((-7)\/3 + -2)\/(42\/(-126)). Let x be r(i). What is the greatest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9006034 and 104116.\nAnswer: 18012068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.5. Let p = w - -0.2. Let j = -1470 - -1465. Sort j, p, -1\/5.\nAnswer: j, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-4)*(-5 - -2). Solve -12*o**2 - 8*o - 5*o**3 + 0*o**d + 5*o**3 - 4*o**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -106*v**3 + 4*v**2 + 4*v + 37. Is n(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124230879 by -7.\nAnswer: -124230879\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(320))\/sqrt(10) + (((1*sqrt(154))\/sqrt(11))\/(-2*sqrt(448)))**2.\nAnswer: -4*sqrt(2) + 1\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*j - 4 = 5*h, 1 = -h + 3*j. What is the units digit of h*(4 - (3 - -14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -42*g**2 - 85*g - 83. Give f(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v - 7. Let m be t(7). Suppose n = -2*q + 6*q - 22, 4*q - 4*n = m. Let l be 6\/(-5)*240\/(-144). Sort -1, l, q in increasing order.\nAnswer: -1, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 29*s**2 - 336*s + 337*s + 7*s**2 + 8*s**2 - 4*s**2.\nAnswer: -20*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = -l + 31, -5*l = 2*r + 28. Let u(t) = -41 - 20*t + 57*t - 19*t + 45 - 14*t. Determine u(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 y, and 1 b when four letters picked without replacement from qgggqygybggqggbgbbb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 19570*f + 234552.\nAnswer: 2*(f + 12)*(f + 9773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 - 2*h**2 + h**2 + 1 + h**2 - 1 + (3*h + 0*h - h)*(0*h - h + 0*h) + 2 - 2 - h**2 + (2*h + 4*h - 4*h)*(-h + 1 - 1).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/297 and -91\/135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/248 and 33\/2432.\nAnswer: 75392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 846, 664, 502, 366, 262, 196, 174?\n\"Answer: r**3 + 4*r**2 - 201*r + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 81*f + 0.\nAnswer: -81*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t. Let z(d) = -7*d - 1. Calculate m(z(o)).\nAnswer: 49*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 9*k - 7 = 11*n, 0 = 3*k - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 908629*t + 15446398. What is x(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*h + 0 = -3, 4*h = y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from jgjdgjju.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(48) + 3)**2 - sqrt(3)*-1*-2).\nAnswer: -342 - 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 151029*m. Let v(g) = -g. Give v(f(c)).\nAnswer: -151029*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let t(c) = 8*c + 5. Let w(m) = 8*m + 4. Let u(s) = 4*t(s) - 5*w(s). Give i(u(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3060995169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152812195.053423 - -3.\nAnswer: -152812192.053423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 16. Let z be w(-4). Suppose p - 13 - 14 = z. Solve 3*o - p = u - 5*u, u + 5*o - 28 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 535 = 10591. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91442 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28682 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3564.537625 to 0 decimal places.\nAnswer: -3565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -76*z**2. Let v(c) be the first derivative of 16*c**3 - 3607. Calculate l(v(b)).\nAnswer: -175104*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 948 divided by 4\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.13\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 4 + -1 + 4 + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/154 and 3\/((-120)\/76)*(-50)\/(-875).\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1431, 5692, 12787, 22710, 35455, 51016, 69387, 90562?\n\"Answer: -o**3 + 1423*o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3355*f - 418. Let x(g) = 23*g - 225. Let m be x(10). Is h(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -117 + 112. Let d be (-10)\/3 + (-4)\/6. Does 9 divide -9*(-4)\/d*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104\/63 + 20\/9. Let s be 456\/(-60) - (3 + -9 + -1). What is the biggest value in -0.3, -5, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 8)*(-2)\/4. Suppose q = -n - 4*f - 95, -3*n - 134 - 121 = -3*f. Let j = -62 - n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 5, e: 1, i: 2, v: 3, y: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52523 (base 7) to base 14\nAnswer: -4a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -31*m + 165. Give b(12).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 972?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*f**2 - 30 - 35 + 465*f**2 + 72.\nAnswer: -9*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 627 + 480 = -o - 2*o - 3*g, -14*o + 236 = 5*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.4 - -3.5. Let s = a + -170.9. Let p = s - -141.927. What is p rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 667*u**5 - 657*u**4 - 2*u - 85996?\nAnswer: 13340*u**3 - 7884*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 - s**2 + 45*s - 1 + 0*s**2 - s**3 - 52*s to the form x*s**3 + n*s**2 + p + g*s + a*s**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (12 - (-12 - -10))) + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 7:19 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*m - 300 = -3*m, -5*m + 168 = d. Suppose 0 = 44*y - 50*y + 234. Calculate the remainder when d is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(0 + 0 - 2*o**3 + (-o + 4*o - 2*o)*(-2*o**2 + 0*o**2 + 3*o**2)).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 4. Let w(r) = r**2 + 1. Let b be (1\/(-1))\/(2\/(-6)). Let n(z) = -13*z + 3 + 8*z + 3*z + 2*z + 5*z**2. Let s(m) = b*w(m) - n(m). What is s(c(f))?\nAnswer: -2*f**2 + 16*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 204?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 + -2.5?\nAnswer: 286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34180 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 5, 0.2, 4, 17, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*z + 130*z - 4 + 115*z.\nAnswer: -6*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 252. Let r be v(-42). Solve r = -16*o + 12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*t**2 + 91*t**2 + 145*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33868 - 22379. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1, 2*m - 6*m = -2*n. Solve -n*f + 20 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 113 + 743 = 0. Let s = 74 + o. Suppose -384 = -4*u + 5*l, 186 = s*u - l - 214. List the prime factors of u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 4*l + 4. Let b(g) = 2*g + 8. Suppose 4*h - p + 27 = 0, h - 5*h - 30 = -2*p. Let t be b(h). Does 18 divide s(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2021391 by 35463.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4596732 - 8375732. Round q to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24179 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 116 - 32. Let o = x + -7. Let f(i) = 12*i - 13. Is f(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 32 = -12. Let u(r) = -r + 2. Let t be u(g). Suppose -3*w - t = w. What is the biggest value in 4, w, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*r - 34 = -6, 3*w - 5*r = 4. Suppose -2*m + 0*m + 6 = 0. Suppose -m*x - x = -w. Solve -x*t + 4 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 14*u + 75. Let z be a(-4). Let t(l) = -1. Let v(x) = -x - 1. Give z*v(c) - 5*t(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccn when four letters picked without replacement from {c: 10, n: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ustuvtvtlv. Give prob of picking 1 u and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*-3*(2*sqrt(425) + -4))**2.\nAnswer: -1930500 + 90000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 + 38*y**4*z + 13*y**3*z + y*z + 28*y + 158*z + 2 wrt y?\nAnswer: 40*y**3 + 456*y**2*z + 78*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-22) - 969518\/30734?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-6\/5)\/b)))\/b**(-2\/9)*(b**(-2\/7)\/b)**32)\/(((b**(-6)*b*b)\/(b\/b**(-1\/8)))\/(b**0)**(-1\/55)) assuming b is positive.\nAnswer: b**(-95749\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u**3 - 8*u**2 + 8*u - 8. Let q = -18 + 26. Let t be 130\/15 - q\/12. Let z(w) = 5*w**3 - 3*w**2 + 3*w - 3. Give t*z(m) - 3*x(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 26222?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(54)\/sqrt(128))**2.\nAnswer: -81\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 - 2618*o - 36260 = 0 for o.\nAnswer: -1295, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1670)\/(-35) - 2\/(-7). What is s rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3094.18 times 197\nAnswer: 609553.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4850 by -5.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3*637\/147.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/2*24\/(-36). Suppose -3*z + 3*r = -24, z - 8 - t = 2*r. Solve 4*p - 33 = -5*q, z*q - 4*p = -p + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13 + 0 + 9 + -14. Let w(a) = a**2 - 5*a - 8. Let d be w(j). Solve -4*h + 0*h = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 59\/6 + 15\/90. Suppose -h = 2*d - 4*d. Suppose d*t = 9*t - 16. Solve 4*u + 22 - 6 = -3*q, 5*u = -t*q - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.3, 3, 2466, -1\/3 in decreasing order.\nAnswer: 2466, 3, 0.2, -1\/3, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 5. Let t be s(4). Let l be -1*59\/2 + 0. Let d = l - t. Is 0 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**2 - 2*u + 1. Let v(o) be the first derivative of o**2 + o - 2. Let j be (-2)\/(-6) - 14\/(-3). Give j*v(t) + 2*h(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-38)\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 66 - 178 + 10*c + 87. Let g be f(12). What is the highest common divisor of g and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 + -15 - (13 + 3) - (-59 + 7)) + -5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 4, -9890, 5, 11 in decreasing order.\nAnswer: 11, 5, 4, -2, -19, -9890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 16. Let d be k(13). Suppose 2*n = n - d. Let w(u) = -u + 2. Is w(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-7954)\/861 - ((-99)\/(-45))\/((-2)\/10)).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - x + 2 = 0, 0 = 3*s + 5*x - 32 + 15. Calculate the common denominator of (-1270)\/(-15)*s\/(160\/(-4)) and -13\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 196\/8 + 2\/(-4). Let t = 0 + 5. Solve j = 3*y - 0*y + 5*p, 0 = t*y - 5*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r + 151. What are the prime factors of l(0)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from {x: 2, l: 7, n: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -55\/4, 4\/3, -3, 5, 2, 13 in descending order.\nAnswer: 13, 5, 2, 4\/3, -3, -10, -55\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036\/29 less than -5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34347*j - 32 + 34343*j + 34348*j - 103039*j.\nAnswer: -j - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 7. Let r(p) = -2*p**2 + 15. Let u = 7 - -7. Give u*a(h) + 6*r(h).\nAnswer: 2*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 17. Let x be l(-14). Let d be 12\/75*15\/x. Factor d*z**2 - 4\/5 + 6\/5*z**3 - 6\/5*z.\nAnswer: 2*(z - 1)*(z + 1)*(3*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 703130 * 0.1118\nAnswer: 78609.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9699 rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 16*h - 3346. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974*s = -4*h - 975*s + 90, 3*s - 54 = -3*h. Is 1.25 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.226 and 174741?\nAnswer: 174740.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -5*n + 8*n. Let o(h) be the third derivative of 1\/15*h**3 - 1\/300*h**5 + 0*h - 2*h**2 + n + 1\/120*h**4. Factor o(x).\nAnswer: -(x - 2)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (14 - 16 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*r - 16 = 10, -4*k - 18 = r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341259 divided by 96?\nAnswer: 4341259\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**2 + 33. Let h(m) = 2 - 4 - m**2 + m**2 - m**2. Let i = 3 - 1. Let l(v) = i*y(v) + 33*h(v). Let d(x) = 2*x. Determine l(d(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 205*f + 7. Let m be r(5). Suppose -w = -4*w + m. Suppose 3*z + j = -z + w, 0 = -2*z + 3*j + 186. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145143*b**2*r**2 + 134*b*r**2 - 187*b*r wrt b.\nAnswer: -290286*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 216 = 136. Calculate the highest common divisor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/19, 6, -2, 1\/7, -1\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6706 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6228.281 and -3221?\nAnswer: 9449.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8. Let t(n) = n - 1. Let z(d) = 2*p(d) + 6*t(d). Let b be (1026\/(-1254) - (-2)\/(-11))\/((-1)\/(-7)). What is z(b)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1805*g**5\/12 + 3*g**2 - 1475. Let l(f) = -2*f. Give l(a(c)).\nAnswer: 18050*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -594400 divided by 29720\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 2*i**3 - 327*i**2\/4 - 161*i\/4 - 5.\nAnswer: (i - 5)*(i + 4)*(4*i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 11.22. Let s = -73.9 - o. Let b = 63.047 + s. Round b to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k - 2*c + 337, 3*k = -3*c - 1053. Let g = k - -369. Calculate the remainder when 37 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(16\/24) - (-3460)\/1156. Let u = -552\/3757 + i. Which is the second biggest value? (a) u (b) 6 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142, 282, 422, 562, 702?\n\"Answer: 140*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-11\/4))\/g)\/g*g)\/(g*g\/(g\/(g*(g*g*g*(g*g*g*g**(1\/2)*g)\/g*g)\/g)))*(g*(g\/g**(-1))\/g)**47)**(-50) assuming g is positive.\nAnswer: g**(-8825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llllltlllllltllllll.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7006 + 7139. Calculate the lowest common multiple of 21 and c.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 9*v - 87. Let g be w(-6). Sort g, -3, 2, -8.\nAnswer: -8, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12478249 - -2.7227348\nAnswer: 12478251.7227348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -1, 15, -3 in descending order.\nAnswer: 15, 7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(6)\/(sqrt(18)\/sqrt(6))*5 + sqrt(288) + sqrt(288) + 2 + sqrt(288) + -2.\nAnswer: 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 10) in base 16?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575) + -2*sqrt(1575) + sqrt(1575))\/(-2*sqrt(576)) + (2*(-2 + (sqrt(63) - (sqrt(63) + sqrt(252)\/sqrt(4)))\/sqrt(9)))**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 + j**4\/2 + j**3 + 7*j**2\/2 + 2*j. Let m be o(-5). Suppose m*t - 3*t = -7. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**2 + 38*f + 427. Determine r(-6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(52\/234)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4764 (base 8) to base 9.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(6\/(2 - 8630)*-2). Let y(l) = -l**2 + 357*l + 362*l - z*l. Let d(w) = -176*w**2. Determine y(d(u)).\nAnswer: -30976*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.1. Let t be (-4)\/(4*-1)*3. Put t, m, 2\/9 in decreasing order.\nAnswer: t, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 - 2. What is the first derivative of -r**3 + 2*r**2 + 2*r**2 - 4*r**j - 3 wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyymymyyyy. What is prob of picking 2 y and 1 m?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -483753.\nAnswer: -1\/161251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q**2 + 4676*q + 52*q**2 + 4679*q - 9323*q - 1 to the form i + g*q + a*q**2 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((224\/12)\/4)\/((-32)\/6*145\/(-1160))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1624 and (-2)\/13 - 2027088\/(-2184)?\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5100 is divided by 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 - (1 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*p - 234, p - 39 - 12 = -3*j. Let u be (6\/(-4))\/(p\/16). Let q = -6 + 5. Which is the nearest to 1? (a) q (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**4\/24 + 2*y**3 + y**2. Let u(q) = -q**3 - 7*q**2 - 4*q + 7. Let d be u(-6). Let g be f(d). Solve g = -5*t - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 + -129. Suppose -4 + u = 5*d. Solve -30 = 5*t + d*k, t - 3*k + 2 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0*r**6 + 7\/12*r**4 - 2*r + 0 - 1\/14*r**7 + 0*r**2 + 0*r**5 + 0*r**3. Find the third derivative of m(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*q = t + 118, 0 = 3*t - 4*q + 365. Let m = t + 195. Suppose f + m = 3*f. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 - -371. Suppose -h = m*i - 2*i - 2563, -2*i + 7703 = 3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -62475432?\nAnswer: -62475434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnbrnblbqnlnqdbdb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:15 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -578?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 28*h - 29. Determine m(-27).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 + 4 = 4*s, s = b + 1. Let k(m) = -m**3 + 3*m**2 + 2*m - 3. Let t be k(s). Solve 5*d = -t - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 605, 908, 1211?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 22 + 19*h**2 - 5*h**2 - 6*h - 21. Let p(u) = -u**3 - u + 1. Let z(a) = -4*p(a) - q(a). Let i be z(15). What is i rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -1\/7, 2, -3, 237\/38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29015 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*9\/6. Solve 4*c - d + 6 = 0, c + i - 4 = -2*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9785505 (base 11) to base 13\nAnswer: -3740c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 531\/5 - 4769\/45. What is the second smallest value in 1\/6, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -123*s**2 + 127*s**2 + 7*s + s**3 - 9 - 20*s. Let x(i) = -375 + i**2 - 378 + 751 - 3*i. Let u = 1 + 1. Give u*o(d) - 9*x(d).\nAnswer: 2*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 4, -3, -433, 1 in increasing order.\nAnswer: -433, -8, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3888 and 170208?\nAnswer: 1531872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -20?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -82705\nAnswer: 33082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-8)*(-12)\/(-15). Let m be (-1 - (-15)\/(-25))\/(w\/5). Suppose 165 = c - m*u - u, -2*c + 360 = 5*u. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -r + c, 3*r + 312*c = 319*c - 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -132 - (-4 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from {c: 11, o: 5}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r. Let m(l) = -689139*l. Calculate m(v(g)).\nAnswer: -9647946*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1114*m**4 + 59*m.\nAnswer: -13368*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/165 + 13*q**5\/55 - 2*q**4 + 248*q**3\/33 - 160*q**2\/11 - 2721*q. Factor y(x).\nAnswer: -2*(x - 20)*(x - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/1923 - 171107\/19230. Which is smaller: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -29869?\nAnswer: 29868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 43 = 5*v + 95 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*b - 2*s - 22, 2 = -4*b + s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2875 and 107\/157250.\nAnswer: 3616750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j - 46 - 58 - 53288*j**3 + 104.\nAnswer: -53288*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)\/x)\/(x*x**(-1))*x**5\/((x**(2\/5)\/x*x)\/x)*(x*(x*x*x*(x**1\/x)\/x*x*x)\/x*x*x\/x**(-2))**(3\/10) assuming x is positive.\nAnswer: x**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -98 - 2) + -11 + 12 + 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031689 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42599 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.2153\nAnswer: 0.2153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 34*n**2 - 62*n + 67. Let u be w(-32). Solve -8\/5*v**2 + 0 - 2\/5*v**u - 8\/5*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/8 - (-3)\/4. Let b be ((-17)\/x - 2)*-10. Let a be ((-15040)\/6)\/(-4)*b. Round a to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 4685?\nAnswer: -4685.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -0.1. Let h = -0.8 - -0.4. Let n be (6\/(-4))\/3 - -2. What is the nearest to 0.1 in p, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1323*u**2 + 166*u**2 + 998*u**2 as z*u**2 + o*u + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - 4*sqrt(100)*-2) + sqrt(100))\/(2*sqrt(10)*6))\/(sqrt(2) + -2*sqrt(72) + sqrt(16)\/(sqrt(48)\/sqrt(6))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 - -12) - -2 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.43*-14.3.\nAnswer: -6.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-26) - 1680\/(-910). Solve -3*y + 10 = -y + i*u, 4*y - 8 = 2*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 32*h**2 - 4*h + 4. Suppose -5 = -10*n + 5. Let m be y(n). Let w be (-4)\/(-6) - 862\/(-3). Calculate the highest common factor of w and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 827.\nAnswer: 2\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 21*h = 6. Suppose -37*z + 38*z = h. Let g(r) = -r**2 - r + 1. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/36 - j**3\/18 - 24*j. Let w(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 6*d + 5. Let b be i(0). Suppose 0 = -0*p + 4*p - 8. Let t(c) = -3*c**3 - 5*c**2 + c - 1. Let l(r) = r**3 + 2*r**2. Give b*l(k) + p*t(k).\nAnswer: -k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 9.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 3. Let g(k) = 2*k**2 - k - 6. Determine 5*c(o) + 3*g(o).\nAnswer: o**2 - 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(8\/(-656)*-41).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4 + 164181*z**3 + 2239619304*z**2 - 182487949488*z = 0. What is z?\nAnswer: -27404, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -5) + (8 - (-36 - -62)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) - 88\/(-170). Let v = -1216\/345 - -78\/23. What is the third biggest value in -5, o, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795200 is divided by 795171?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110011001 (base 2) to base 14.\nAnswer: 31c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + h - 230, -3*d = 2*d + 5*h - 585. Suppose -2*m = 5*s - 7*m - 605, -s + d = -5*m. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123 divided by 432?\nAnswer: -347\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13947620*d**4 + 13149321*d wrt d.\nAnswer: -167371440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2899 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66, 0.13, -5, 29, 13.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1342 + 2224. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 15*n + 9. Let p(w) = w**3 - 4*w**2 - 3*w + 5. Let u be p(5). Determine o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 292*l + 5580.\nAnswer: -(l - 18)*(l + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9cbb2 + 53?\nAnswer: 9cc25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 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: Suppose -x + 1 + 6 = s, -3*x + 26 = 4*s. Suppose 33*k - 21 = 26*k. Suppose 3*j = -k*z + 378, -z = -2*z + x*j + 123. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/4 + 4*i**3 - 6*i**2 + 14*i + 3. Let t be x(-13). Solve -2*m + t = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v**4 + 14690*v**3 - 549280*v**2 - 1632830*v + 442308 = 0 for v.\nAnswer: -3, 1\/4, 41, 1798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - ((sqrt(143) + (sqrt(143) - 1*sqrt(143)))*-1 + sqrt(143) + sqrt(143)))*-6)\/(6*sqrt(1331)*-2 + sqrt(1331)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-693) - (-58)\/44)\/(-7 - -58).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -2*r + 14, 9*w - 7*w = -3*r + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 10*b**2 - 81*b - 84. Calculate the remainder when 199 is divided by c(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 274962622, 274962618, 274962612, 274962604, 274962594?\n\"Answer: -r**2 - r + 274962624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -585800 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*j + 88 = 0, -4*i + 4*j + 104 = -0*i. Suppose -3*w = i + 110. Does 7 divide 0 + -3 - (w + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u + 163. Let h be ((-35)\/(-3))\/7*3. Let n be j(h). Solve -2*a = -n*t - 10, -3*t + 4*a = -7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 5*f**3 + 1 + 2*f**3 + 2*f + 0*f + (4*f - 3 + 3)*(5*f**2 - f**2 - 3*f**2) in the form a*f**2 + u*f**3 + g + d*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/3))\/j*j*j)\/(j*j**(-3)) assuming j is positive.\nAnswer: j**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/9 and -153\/13300.\nAnswer: 119700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 256. Let i be (-2)\/(-4)*10\/g. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6456, -25806, -58030, -103104, -161004, -231706, -315186, -411420?\nAnswer: -520384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4205 times 0.175\nAnswer: -735.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201 (base 7) in base 16?\nAnswer: 5bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111110000 (base 2) to base 6.\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27484 + -27483.99999934572. Round b to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/4 + w**3\/2 - w**2 - 2*w. Let u(s) = -13*s**2 - 12*s + 7. Let c(q) = -9*d(q) - 2*u(q). Let l = -7 - -3. What is c(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8553*d + 9309*d - 1.\nAnswer: 17862*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 922?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65054 * -0.4.\nAnswer: -26021.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 - 1 - x**3 - 3*x - 12*x**2 + 9*x**2. What is the lowest common multiple of 8 and c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bahlhbbhswhbb. Give prob of picking 1 b and 1 w.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 28 + 13 + 1 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*k**2 - 179*h**3 - 2*h**2*k**2 + 756*h*k**2 wrt h?\nAnswer: -6*h*k**2 - 1074*h - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, a: 4}. What is prob of picking 2 y and 2 a?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(1\/2). Suppose -1 - f = -r. Suppose -6 = 3*s, -3*o + 35 = -r*o + 4*s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -1\/84 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325072457 to the nearest integer?\nAnswer: 18030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 11 (c) -19 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552372 is divided by 821.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**4*h)**5\/((h\/((h\/((h*h**9)\/h))\/h))\/(h**(-1)\/h)))**(-1\/10))**(6\/25) assuming h is positive.\nAnswer: h**(-54\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 7. Determine l(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 3:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let i = -1407\/4 - -15341\/44. Let v = i + 32\/11. What is the closest to -0.1 in -2, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 7*j - 2*j + 26, 3*j = -3*b - 24. Let q(s) = -2*s - 5. Let c be q(b). Suppose -2*o = -x - c, -o = 3*o + 2*x - 6. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.99 - 9. Let m = -16.31 + 15.3. Let n = m - d. Put n, 2, 2\/11 in decreasing order.\nAnswer: 2, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203514 is divided by 1683?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-16\/5)*z))\/z)\/(z\/z**(1\/4)) assuming z is positive.\nAnswer: z**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-36))\/((110\/15)\/22).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1840 = l, 2*r + l = -2*l + 1223. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -461017*463\nAnswer: -213450871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -0.368?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/9 - 104*m**2\/9 + 482*m\/9 - 188\/3 = 0. What is m?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 166.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 2*r - 4, 6 = 4*r + c. Let o = 6 - 8. What is the nearest to -1\/4 in o, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmk when four letters picked without replacement from rmkmmcmmmrrkr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972 divided by -60?\nAnswer: 493\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010212202 - 11?\nAnswer: -1010212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6040 - 4300?\nAnswer: -13340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1971 and 310542.\nAnswer: 2794878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0 - 8. Suppose -4*w + 18 = u, -w = -6*u + l*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 5*m**2 + 4*m + 3. Let s be b(-3). Suppose 4*j + 0*j = s. Let t(a) = -a + 9. List the prime factors of t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547741?\nAnswer: 3, 127, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**4 - 2*f**3 - 4*f**2 - 3*f + 5. Let u(r) = r**2 + r - 1. Let i(j) = -4*a(j) - 20*u(j). Factor i(s).\nAnswer: 4*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 + 256. Suppose -6*o = -0*o + 12. Sort 2, -1, o, w in descending order.\nAnswer: 2, w, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 80830.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4502 tonnes in nanograms?\nAnswer: 15450200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(363) - (sqrt(363) - 5*(sqrt(363) - (-1 + sqrt(363) - sqrt(363))))) + -5)**2 + 2.\nAnswer: -550*sqrt(3) + 9102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312\/7 - 45. Let r = g - -50\/133. Let l be -16 + 13 - (-6)\/2. Is l > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 - -11) + 3 + -13. Solve 18*n - j - 78 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1488*r**3 - 4 - 921*r**3.\nAnswer: -2409*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 91*f**2 - 74*f - 162. Is q(89) 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 3830 and 13597270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -639. Let s = z - 419. Solve -4*u + 3*h + 0*h - s = 0, 4 = -u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-15 + 2 - (-5 + -28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2007075 and 3675.\nAnswer: 14049525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1)*20\/(-30)*(-33 - 11118\/(-340))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39452, -157441, -354090, -629399, -983368, -1415997?\n\"Answer: -39330*s**2 + s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:42 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 87. Let q = -1.2 + 0.2. Which is the closest to q? (a) w (b) 2\/7 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 71350?\nAnswer: 71350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6842162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 39, -4 in increasing order.\nAnswer: -4, 1\/4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 - 19 - 145)*(-2*i**2 + 2*i**2 + 5*i**2).\nAnswer: -1935*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65 - (4 - -10) - -12. What is the second biggest value in 2.3, d, 0?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -4*z + 150173, -4*z + 3*h + 136794 = -13355. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398178 is divided by 426.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.4 + 3. Suppose j = 0, -5*i + 9 = 4*j + 29. Which is the closest to -3? (a) y (b) i (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 + 5*u**2 - 28*u**2.\nAnswer: -62*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 227003 and 2951054\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369142 is divided by 3238.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184158 and 2574.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 0*z**2 + 81 - 3*z**2 - 14*z**2 - 6*z - 57*z + z**3.\nAnswer: -(z - 1)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77460.63 weeks in days?\nAnswer: 542224.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 6*n. Let x be k(3). Let s = -5 + 8. Suppose 115*l - 35 = 108*l. Solve b + x*r + 16 = l*r, s*b + 24 = -4*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/12))**43 assuming g is positive.\nAnswer: g**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2, -0.31, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 1. Let k be y(2). Suppose -3 = -2*x + k. Let t(g) = -x + 7 - 6*g. Let q(a) = -a. Calculate t(q(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*q - 2*q + 371, -5*q = 4*z - 817. What is the units digit of 14\/((-336)\/z)*-132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 7*l - l + 7)*(l**3 - 5*l**2 + 5*l**2)*(-1 + 1 + 1).\nAnswer: l**4 + 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6662\/28169 - 2\/1657. Let q = h + 22\/51. Solve -q*l**2 - 2\/3*l + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/35*42\/(-84).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12528626 divided by -90134.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*w - 16 = 0, -5*v = 5*w - 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.073, 0, -0.3, -13.7?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*w - 2*h, 7 + 19 = -3*w + 5*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14789.\nAnswer: 23, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by -1\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105152274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*q = -30, -w + 28 = 2*q - 7*q. Suppose -3*k - 1433 + 4612 = 2*h, -w*k - 3209 = -2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Let x be (-6)\/(-2) - (-10 - -15). Let t = 5 + x. Solve 10 = t*n - u*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s + 2*s + (2*s + s - 6*s)*(-1 - 2 + 6) in the form r*s + w and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80469131, 80469128, 80469125, 80469122, 80469119?\n\"Answer: -3*s + 80469134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 105*w**2 + 1038*w + 55. What is i(-61)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8504*h + 3205998. Give z(-377).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23847 = -256*k - 795*k + 58268 + 34546 for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23688*m + 307942. Give f(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Suppose 14 = -f + h*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*b - 12, 550*w = -b + 1099*w - 548*w - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2392554 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4767, -19060, -42885, -76248, -119155, -171612, -233625?\nAnswer: -305200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 7) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/4*352\/4. Let l be r\/(-33) + 4\/6. Let s = 24 + l. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2 = 3*s, -156*s + 4*y = -153*s - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42980.\nAnswer: 2, 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 3*q + 3. Let d(c) = c**2 + c + 1. Calculate 11*d(z) - 4*l(z).\nAnswer: 3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 o, and 1 l when four letters picked without replacement from {o: 6, l: 2, x: 9}.\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -31. What is the common denominator of 2678\/(-91)*(-2)\/8 and (n - -1) + (-471)\/216?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8644*-2.\nAnswer: -17288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + (-1754)\/14. Let j = 251 + n. What is the highest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 - 1\/4. Suppose 0 = -4*j - 0*j. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259702.\nAnswer: 2, 29, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11304998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -6 (b) -2\/53 (c) 3\/5 (d) 0.5 (e) -1\/6 (f) 5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/42 (b) 244 (c) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osthttr. Give prob of sequence osr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4648)\/(-728) - (-120)\/195.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 - (-2)\/(-16)*10. Suppose 5*q = -i + 2*i - 2, -2*q = -5*i - 13. Let f be ((-1)\/1)\/(6 - q). Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + g + (-1 - 1 + 1)*(-2 + 2*g + 2) - g - 3 + 3 + 11 - 4 + 84*g - 7 + 2142*g + 1215*g.\nAnswer: 3439*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(6)\/sqrt(3)*-1*-1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150496 at most as big as 300991\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5 + 16*k**4 + 10*k**3 - 28*k**2 = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333 - -5?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efececfceegeegezie. What is prob of picking 1 e, 1 z, and 1 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 1680.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 0*l**2 - 10*l - 3*l**2 - 4 - 5. Let q be c(-9). Solve 2*x = -q*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*((-23226)\/84)\/(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*b + 2250881 = 2193065 for b.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11410910, 22821835, 34232760?\nAnswer: 45643685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*t + 2143 = -90*t. Let z = -1094 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 2. Let h be j(-2). Let r(v) = -v**2 + v + 26. Let p be r(0). What are the prime factors of p\/h + (-1)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5252?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 42370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 411185 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 49*l**2 + 33. Let j(x) = -147*x**2 - 99. Let h(m) = -11*f(m) - 4*j(m). What is the first derivative of h(z) wrt z?\nAnswer: 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -26. Let f = u + 6.5. Let i = 1.8 + -2. What is the nearest to i in 3, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 35 - 15. Let k be 1\/(-1) - -3 - 0. Suppose 0 = 2*d - 5*w + 6, o*w - 5*w = -k*d + 14. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*c + 172 - 31 + 39 = 0. Let l(u) = -29*u**2 + 4*u - 7. Give l(c).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w + 32 = 4700, -4*c + 3*w + 3756 = 0. Suppose 3*s + 333 = c. What are the prime factors of s?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + i - i + (0 + 2 - 4)*(-2*i**3 + 2 - 2) - 5 + 5 - 2*i**3 + 74*i + 12*i**3 - 74*i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1243256*l**3 + 10235704*l**2 - 16338834*l\/7 + 944784\/7 = 0.\nAnswer: 243\/2086, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 872.6988l?\nAnswer: 872698.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20 - (-1633)\/46) + -16)*62\/(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64619053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 1, -3, -5 in decreasing order.\nAnswer: 101, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 44 = -3*a + 14, a + 3*t = -14. Let l be a\/(-3*2\/(-780)). Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-110)*160\/24*648\/1152.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*n**5 - n**2 - 13530*n wrt n.\nAnswer: -2600*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -117*a + 35*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 733*y**2 + 56*y - 13. Let h(u) = -49*u**2 - 1. Let k(n) = 6*h(n) + x(n). Find the second derivative of k(r) wrt r.\nAnswer: 878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18 - (1128434\/27375)\/118?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(-55212)*-473*(-6)\/22.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-18)\/(-27)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22762 and 3002.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292831 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48093919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:57 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:14 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15653 and -62\/89649.\nAnswer: 986139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 16*u. Let g be v(14). Let o = -34 - g. Let c = 48 + o. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 10*y - 1. Let t be b(9). Let c = t + 8. What is the units digit of (56\/20 + c)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**2*q**6 + 9*p**2 - 173*p*q**3 + 8*q**2 wrt q.\nAnswer: 240*p**2*q**3 - 1038*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92161351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -23 + 19 - b - 2*b. List the prime factors of h(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71613850 and 135850?\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 474165 + -4?\nAnswer: 474161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1151 - -11?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from jsejlsssessjjss?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 5162184?\nAnswer: 283920120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 620 - 616. Suppose 813 = o*p - m - 2*m, 0 = 5*p - 5*m - 1020. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356 by 89.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1785 (base 9) to base 12\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 2)*(4*a - 12*a - a).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 123\/(-12) + (-1 - -7). What is the closest to 13 in -5, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169627398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/1008 + 3\/(-24). Which is the biggest value? (a) -5 (b) h (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.92. Let x = q - 2.92. Suppose -2*r + y = -y, -4*r = 3*y. Which is the third biggest value? (a) r (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 z when three letters picked without replacement from oqucdzd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 3:15 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.995 or 27\/8?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 - u**2)*(2 + 2 - 6) + (-18 + 15 - 36)*(-2*u**2 + 2*u**2 - u**2).\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -1\/7, 0.05, 2, 23.6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-6)*198\/(-24). Let t = 25 - g. Let d = -6 - -10. Solve d*p + 4 + 0 = t*z, 3*p + z - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(1\/3)*n)*n**(-1\/30))\/(n**(-9)\/n)**23)**(5\/2) assuming n is positive.\nAnswer: n**(6859\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + -11 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 307168, -9 in descending order.\nAnswer: 307168, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4))**50)**(2\/5)*(o*(o\/(o\/(o*o*(o\/o**(4\/7))\/o*o)))\/o*o*o)\/(o\/o**(2\/11))*o*o**(-1\/2)*o*o*o*o**5 assuming o is positive.\nAnswer: o**(-10455\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50221 * 19.1\nAnswer: -959221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/7, -0.03, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1603932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -126*b**4*m + 7*b**3*m**3 - 16100*b**3 - 11*b**2*m**2 + b*m**3 - 5882*m**3 - 135*m wrt b?\nAnswer: -3024*b*m + 42*m**3 - 96600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 - 8*q + 7. Let y(l) = l**3 + 4*l**2 - 3*l - 7. Let a be y(-4). Let o be p(a). List the prime factors of o*(-4)\/(12\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 92 + 79*c - 62*c.\nAnswer: 3*c + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64833 is divided by 1855.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 2. Let o(l) = -l - 14. Let q be o(-11). Let p = q + 1. Let s = p + 5. Determine x(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/56 and -11\/824.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 2.2. What is the closest to 1 in -7, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -1.5. Let s = -77.9587 + -0.0413. Let k = s + 78.5. Which is the closest to h? (a) -0.3 (b) k (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Suppose -3*m - m = n. Suppose 4*c - b + 79 = 204, m = 5*c - 2*b - 160. Calculate the highest common divisor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -5*m**4\/6 + m**3\/3 + 2*m**2 + 248*m - 2. Let r(o) = 19*o**2 - 5*o - 9. What is -5*c(i) - 2*r(i)?\nAnswer: 12*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2. Let r(t) = -393*t**2. Calculate r(h(c)).\nAnswer: -14148*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*s**2 - 186*s**2 - 14*s**3 - 191*s**2.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + -4*-1*sqrt(65)) - sqrt(65))\/(-1*sqrt(80)))**2 + 2.\nAnswer: 357\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 151, 341, 607, 949, 1367?\n\"Answer: 38*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 - m**2\/2 + 9*m. Let t(k) = 13*k**2 + 8. Let b(p) = -13*p**2 - 12. Let u(d) = -3*b(d) - 4*t(d). Give u(x) + 4*y(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. Let b = 15 - 13. Suppose -2*i = -4*h - 30, -2*i = o*i - b*h - 83. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84660569491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -g - 5*h + 350206, -5*g + 6*h + 1751027 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3 + 13. Let n(x) = x**2 - 10. Let h(k) = -2*k**2 + k + 21. Let r(a) = -3*h(a) - 5*n(a). Is r(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/42)\/((-1)\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqquqquqqqqqqqquuq.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m - 142*m + 345 = 104*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-72)\/(-80))*(3 - 2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -466664506.8 to the nearest 100000.\nAnswer: -466700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - y**2 + 12 - y**2)*(-5*y + 5*y + 3*y).\nAnswer: -6*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 120*y**2 - 130*y - 65. Let t(v) = 11*v**2 - 12*v - 6. Let c(i) = -6*j(i) + 65*t(i). Let m(a) = -a. Calculate m(c(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, -10, 233 in increasing order.\nAnswer: -10, -1, 4, 5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guggvgvvvgggggvgvgv. Give prob of sequence uv.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 5. Let t be s(-8). Suppose 0 = -5*v, -v = t*u + 3*v - 12. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) + sqrt(104)*1)*2)\/(sqrt(384)\/(sqrt(24)\/sqrt(2))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*t**3 - 8*h*t**2 + 66*t**6 - 13*t**3 - 21*t**2 - 4 wrt t?\nAnswer: 6*h + 7920*t**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*u - 19*u - 37*u + 164 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111520489 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvvvowvvooovwvwvvw. What is prob of picking 1 v and 2 w?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9001\/6 = 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2861 - 1504. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -7 - (5 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -1\/3 (c) -3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 380*t + 5270. Calculate j(-14).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*1 - sqrt(102))*5)\/(-4*(sqrt(6)*2 + sqrt(6))).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615913390?\nAnswer: 2, 5, 59, 1043921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Suppose 19*t - 5 = 24*t. Let y be -2*3*t\/(-6). Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -7*k**4\/12 - 2*k. Let j be 1 + 8\/(-12)*3. What is i(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/19912 and 87\/20569096?\nAnswer: 20569096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.06 - -47. Let y = 4.06 + n. What is the biggest value in -5\/2, -17, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3990, 3992, 3994, 3996?\n\"Answer: 2*o + 3988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**3 + 17947516244*b - 17947516244*b.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssussuussussssssuss. What is prob of picking 4 s?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0316 and 45221782.\nAnswer: 45221782.0316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 288*z - 1152. Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**5 - 242*n**4 - 5031*n**3 - 15924*n**2 - 10828*n + 5568 = 0?\nAnswer: -48, -29, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 47. Let m = 19.519 + -0.119. Let p = o + m. Sort 3, p, -1\/5 in ascending order.\nAnswer: -1\/5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, v: 5}. What is prob of sequence vttt?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15217, 15218, 15221, 15226, 15233, 15242, 15253?\nAnswer: 15266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 - (2 - (6 + 16))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 184. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhorgp. Give prob of sequence om.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-28 - -16 - (-20 - (6 + -8)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 1094489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-770)\/49*(-163 + -1 + 3).\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away -10870?\nAnswer: 10869.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:03 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784222 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.3 (b) -2 (c) -5 (d) -19115 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = 1597*o - 1599*o. Calculate the remainder when o is divided by 63.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -402*(-3 - (0 - -1) - (-299)\/78) and 7?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w + 61*w**3 - 15*w)*(-w - 4 - 3 + 10).\nAnswer: -61*w**4 + 183*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1669 - 2929 = -350*w - 398 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4 - 2 + 10 - h + 9. Suppose -3*b = -5*p + 34 + 17, 3*p = -2*b + 23. What is the smallest common multiple of j(12) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38167143 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8556*g*t**4 + 121*g*t**3 + 2*g*t**2 - 2*t**2 - 2*t + 457169 wrt t?\nAnswer: -205344*g*t + 726*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838668758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 7*n**2 + 13*n - 7. Let c(r) = -4*r**3 - 6*r**2 + 12*r - 6. Calculate -7*c(z) + 6*d(z).\nAnswer: 4*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2384*n**2 + 58*n - 229. Is z(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -1 - -1) + 586 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 12. Determine l(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17506 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1acab94 + 0?\nAnswer: -1acab94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39749844 to the power of 1\/2, to the nearest integer?\nAnswer: 6305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/19, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 332 (b) 9\/7 (c) 3\/8 (d) -0.1 (e) 22 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from drrrdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = 4*y, 2*h - 2*y - 22 = 0. Let o(i) = 27*i - 140. Let c be o(h). What is the greatest common divisor of 352 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*o + 21, -2*r - 2*r - 4*o = -164. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/12 + (-75)\/100 - (-138)\/(-5).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/4*o**2 - 1\/4*o**4 - 7 + 6*o - 3\/2*o**3 = 0. Calculate o.\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294631 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + 169. Let f = -135 + q. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*h - 3*u, 3*u - 31 = -2*h - 2*u. Suppose -42 = 5*x + 4*j, -h*x + 8*x + 45 = -5*j. Calculate the remainder when 25 is divided by 75\/10 + 3\/x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 - 14628*b\/5 + 1684368.\nAnswer: 2*(b - 6684)*(b - 630)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219950 to the power of 1\/2, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 1424*d + 20 = 1421*d, -r = -8*d + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*11 + 5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*k + 50. Is -5 + k*5\/(-10) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 7*n - 4. Let o be u(4). Let l be (-15)\/44 + (-2)\/o. Let f = -76\/111 - -2\/111. Put l, f, 0 in decreasing order.\nAnswer: 0, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074 - 254 = 4*i. Let b = -250 + i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkzakkkkzkk. What is prob of picking 3 z and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 3. Let g(a) = a**3 + 12*a**2 + 23*a + 17. Let q be g(-10). Let w be k(q). Solve 3*v + w = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-32361)\/1449 + ((-8)\/(-2) - 2)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*y = -34, 4*x - 42 = -3*y + 2*y. Suppose -2*d = x, 0*d = 2*g - 4*d - 28. What is the remainder when (-4 - (0 + 3))\/(-1) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose 6*p - 4 = a*p. Let n = 143\/540 + -2\/135. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n**3 - 12*n**2 - 13*n - 289. Is v(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*k + 83*k + 26*k)*(-1 + 0 - 20)*(2 + 0 - 3).\nAnswer: 1428*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 15*n - 29. Let f be r(5). Let b be (12\/f + (-1 - -19))*1. What is the greatest common factor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/112 and (342\/19)\/(4816\/(-21) + -4).\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97778?\nAnswer: 2, 48889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -231. Let p be ((-66)\/55)\/((-1)\/y). Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 37. Determine o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 5*a**2 + 3*a - 3. Suppose 5*f = -3*q + 8, -2*f - q - 2 = -5*q. Let s = 1186 - 1183. Let k(v) = -v**2 - v + 1. What is f*p(m) + s*k(m)?\nAnswer: 3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:15 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*v = -n + 137*v + 17, -2*n - 14 = -4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229077 rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5\/7 - 368*m**4\/7 - 1392*m**3 - 35968*m**2\/7 + 885760*m\/7 + 1843200\/7 = 0.\nAnswer: -40, -18, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 25, 0 in increasing order.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*d - 2, 2*b + 0*b = -d + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a + a + 4 - 2*a**2 - a.\nAnswer: -2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8*d + 2*d**2 + 8*d - 5*d**3 as a*d + y*d**2 + f*d**3 + v and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-25)*(4 - -1). What is the units digit of 2\/n*(-1 + 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5251 + -5247. Solve -z - 6 = i*k, z - 5*k = -3*k + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:17 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (10 - 9) + 4 + 1 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 6*n - 5*n - 2 - 9*n + 1 to r*n + x + s*n**3 + w*n**2 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -62, 2\/3, -1\/4 in decreasing order.\nAnswer: 2\/3, -1\/4, -0.3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3 - -2)\/(-1) - (-9 + 7) and (0 - -2)\/2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -65, 49, 209?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -4*t, -4 = t - 1. Let m(q) = 2*q - 5*q**2 + 2*q + 2 - 3 + q**o. Suppose -4*r = -6*r + 6, -2*w - 3*r = -17. Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338 divided by 8475.\nAnswer: -338\/8475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2112*p**2 + 51 - 25 - 26 - 2123*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3741 + -100981\/27. Calculate the common denominator of x and 151\/3468.\nAnswer: 31212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -343*v**5 + 2891*v**4 + 1890*v**3 - 1154*v**2 + 181*v - 9.\nAnswer: -(v - 9)*(v + 1)*(7*v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97461050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -325 + 349. Find the common denominator of 2\/(-3) - (-24)\/(-10) and (-2)\/4 + 6\/u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 8. Let l be m(11). Let i be 6\/14*(-2 + 80\/36). Which is the closest to 2\/3? (a) -2 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936625, 936626, 936627?\nAnswer: 936628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 + -23970?\nAnswer: -23939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 36\/5*h**2 + 8*h**3 - 12\/5*h**4 + 8\/5*h = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270\/35 + (-4)\/14 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255)\/sqrt(5) - sqrt(51))\/sqrt(3) + -4 + (-6*(sqrt(17) + -2) - sqrt(51)\/sqrt(48)))**2.\nAnswer: -100*sqrt(17) + 11649\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*b**3*f - 8*b**3 + 10*f + 77 wrt f.\nAnswer: -40*b**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94148)\/(-2141867)*(14\/(-3))\/((-1)\/18).\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 0, -5, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v + 7. Let w(t) = -t**3 - 12*t**2 - 12*t - 15. Let m be w(-11). Let a be m\/6 + (-51)\/(-9). Give k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 28437?\nAnswer: 1\/28437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 6 - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Let p be (1*(1 + -1))\/((-44)\/22). Let n = i + p. Calculate the lowest common multiple of n and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-104)\/(-16))\/13)*-4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 245*s + 38. Let o(l) = -61*l - 10. Let i(j) = 9*o(j) + 2*z(j). Does 9 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 356 = 34 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4*24\/(-80))\/(2\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3265, 6681, 10419, 14647, 19533, 25245, 31951?\n\"Answer: 28*b**3 - 7*b**2 + 3241*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40719348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 33 = -75. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438.7149 millilitres to litres.\nAnswer: 0.4387149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, 2, -2.\nAnswer: -38, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1372 - 1372.2. Put 1.5, -2, n in decreasing order.\nAnswer: 1.5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i**2 - i - 1. Suppose 3*y + 3*o - 2*o = -1, 21 = 2*y + 5*o. Determine t(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3*u**2 - 136*j**3*u + 1462*j**2 + 5*u**2 wrt j.\nAnswer: 18*u**2 - 816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 7*r - 12*r + 304, o - r = 334. What are the prime factors of o?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(245) - sqrt(245)*-1)*6)**2.\nAnswer: 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, 6, 34, 74, 132, 214, 326?\n\"Answer: m**3 - 3*m**2 + 24*m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*c = -737*c + 3128 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 40*a - 42 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.79 and 650.94?\nAnswer: 653.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 28. Let i be o(7). Let p be ((-2)\/((-4)\/i))\/(6 - 5). Let c(r) = -4*r**2 + 3*r - 13. Let g(u) = 3*u**2 - 2*u + 9. What is p*g(y) + 5*c(y)?\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(4 + -3) - (-27 + 2). Suppose 0 = 5*g - s - 1. Calculate the lowest common multiple of g and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j\/j**2)\/(j**(1\/9)\/(j**2\/j*j)) assuming j is positive.\nAnswer: j**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 1, z: 2, f: 1, q: 1, n: 2}. What is prob of sequence yqdf?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 2 + 4 - 6.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d + 3. Let k be u(-2). Which is bigger: -2\/15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 2*g**2 + 18*g + 5. Let r be c(-5). Find the first derivative of -104 - r*w**3 + 60*w**3 + 54*w**3 + 20*w**4 wrt w.\nAnswer: 80*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1680a04 (base 11) to base 10.\nAnswer: 2856209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -132 + 49 + 40 + 41 + 2*y. Suppose 2*n = -5*b - 3 + 20, n + 5*b - 21 = 0. Let s(v) = v + 3 - 1 - 3. Give n*w(i) + 9*s(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59459246 is divided by 750.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9652896487.9711 + -0.2?\nAnswer: 9652896487.7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = -5*q, -w + 8 = 5*q - 3*q. Sort -1\/2, 14, w, 3\/8 in ascending order.\nAnswer: -1\/2, w, 3\/8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 4\/4123 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13375993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + a - a - 6*a**2 - 4*a in the form q*a + v + l*a**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 15*x + 13. What is the remainder when 78 is divided by l(14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130852 is divided by 31989.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -240 (b) -28 (c) -0.1 (d) 0.13 (e) -2\/5 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 - 54*j**3 + 231*j**2 + 216*j - 972 = 0.\nAnswer: -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.9 from -146531457281.\nAnswer: -146531457304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 7, b: 5, k: 4}. What is prob of picking 3 b and 1 k?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003.300152 - -1003.2. Let g = 0.1 + u. What is g rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.0874 less than -1588?\nAnswer: -1607.0874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*j**2 - 3)*(6 + 10 + 13) + (-3*j - 3*j + 7*j)*(6*j - 4*j + 0*j).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/12 + 100\/15. Suppose 4*s - k = 5*z, 5*s - 22 = -4*z + 3*z. Let r(w) = 2*w**2 - 5*w**z + 4*w**2 - 1. Determine r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 12632*k**3 + 31*k**2 - 391562*k - 378960 = 0.\nAnswer: -5, -1, 6, 12632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15857 is divided by 81.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 5*i + 2135, -3*k - 5*i + 1257 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1 - 2) - 6. Suppose -5*s + 4*k + 27 = 0, -s + 2*k + 5 = k. Let z = g + s. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or 6995.39?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.079 and 4276.\nAnswer: -337.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2699, 5441, 8223, 11045, 13907, 16809, 19751?\n\"Answer: 20*o**2 + 2682*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -6*v + 198 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + s - 3*s)*(0 + 1 + 1) - 5*s + 3*s + 0*s + 0*s - 4*s + 2*s + s - s - 4*s + (-3*s + 2*s + 0*s)*(2 + 2 - 2) to c + d*s and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38428 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/371104 and 85\/4.\nAnswer: 371104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 52*o**2 - 561*o + 2032. What is w(39)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-1))\/(-1))\/(150\/12).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17993\/10 + -1797. Let c = 251015\/24 + -60389\/8. Let i = -2935 + c. What is the common denominator of i and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 16 = 2*d. Let q = -70 + d. Let j be (-6)\/8 - q\/20. Which is greater: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttiqtrmttqtqt. What is prob of picking 2 t?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 12) in base 2?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 62 - 8 + 12*a + 13 - 9*a in the form k + h*a and give k.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*j - 368*j = 137*j - 178*j - 3164 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/60 and -49\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*n + 31 + 26 + 23 - 79 to g*n + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from eeeyybyeeey.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3231 or -3232?\nAnswer: -3231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 5*r + 2*r)*(-2 + 2 + r)*(-5*r - r + 2*r)*(-16 + 2 - 8).\nAnswer: -352*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -946 + 2799. List the prime factors of s.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 6*t**2 - 6*t + 8. Suppose -9*n = -12*n + 3. Let s(q) = -q**3 + q**2 + q - 1. Give n*a(i) + 6*s(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 230750, 461494, 692238, 922982?\n\"Answer: 230744*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + u - 1. Let v be o(-1). Let x(m) = -5*m**2 + 9*m + 21. Let r(j) = 5*j**2 - 9*j - 21. Let z(s) = v*x(s) + 4*r(s). Is z(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 6*c - 14. Give n(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wss. What is prob of picking 2 w and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 676143.3470414 + -676143. Let j = t + -0.347. What is j rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14766 - 9937. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 3 + (2 + 0 - 1)*(-5 + 4 + 0) - 2 - 1 + 5)*(d - 3*d - d) to the form a*d + s and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 7*i + 6*i - 9*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -438 - -452. Let j(q) = -54 - 67*q + 17 + p + 11 + 14. Let w(i) = i**2. Give w(j(v)).\nAnswer: 4489*v**2 - 268*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0.2 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {e: 13, r: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*d = -4, -182*q + 5 = -184*q + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 859994, 1719986, 2579978?\n\"Answer: 859992*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12935107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03598405 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2\/(-16)*-2). Suppose -j = -m + 11. Suppose -3*h + 6 = 4*s, 3*h + s - 6 = -2*s. Solve -h*c - m = -7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(28)\/sqrt(4) + 4)**2*-3 + ((sqrt(49) - sqrt(784))\/sqrt(7) - 3*(2*sqrt(7) + sqrt(7)) - sqrt(70)\/(-2*sqrt(160)))**2.\nAnswer: -48*sqrt(7) + 49607\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let x be (-4)\/2*(-10)\/(-4). Let d be o(x). Solve 3 = -d*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -307498\/8937?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/7)\/(-1) - (-500)\/100?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 490, 1111, 1982, 3103, 4474?\nAnswer: 6095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 621 (base 9) to base 16\nAnswer: 1f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*(-18)\/504*-91.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*g + 10, -s + g - 5 = 2*s. Let t be 3\/(-18)*33*26\/1. Let a = -146 - t. Is s <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q)**(2\/135) assuming q is positive.\nAnswer: q**(8\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 2. Let l(z) = -7*z. Let g(v) = l(v) + 3*r(v). What is g(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 704\/56 - 2\/(14\/3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.523 + -0.023. Let x = 0.4 + -0.4. Put g, x, -2\/9 in descending order.\nAnswer: g, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1988 - 5380?\nAnswer: -3392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -900*-3\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 6*w**2 + 1\/4*w**4 + 0*w + 0 - 7\/6*w**3 + 1\/20*w**5. Let r be u(2). Calculate the highest common factor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.038, 30, -54 in decreasing order.\nAnswer: 30, 1.038, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - (11 - (-2 - -4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -183*r + 1134. Determine o(7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -1.228.\nAnswer: -2.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 19. Determine c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -677, -64, 559, 1192?\n\"Answer: 5*n**2 + 598*n - 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o + 6*o + 66 - 18*o + 4*o as z + v*o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y. Let q(p) = -14*p. Determine 4*q(s) + 5*v(s).\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081028693 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -85. Suppose b = -2*d - 0*d - 9560000. Round d to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 - 2. Let g(z) = 2*z**2. Determine h(g(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -278, -619, -1094?\n\"Answer: -67*p**2 - 6*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.8173976 to one dp.\nAnswer: -199.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*f + 1461 = 0, 0 = -w - w - 2*f + 976. Suppose 117 = -2*a + w. Let d = -1 - -18. What is the greatest common factor of a and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*a - 15*a - 18065180 = -25*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 1945*s**2 + 7 + 179*s - 186*s + 1947*s**2 + s**4 to z*s**3 + r*s**2 + m + p*s + i*s**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242815 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -350, -1527, -3526, -6347, -9990, -14455?\n\"Answer: -411*q**2 + 56*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 17958 = -3*c + 4628, -4*c = -4*u - 30108. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -878, -7, 11, -4 in increasing order.\nAnswer: -878, -7, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22403*p**2*u**2 + 9*p**2*u + 18*p**2 - 2*p*u**2 - 131*p*u wrt u?\nAnswer: 44806*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/21 and -4\/387?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)\/n*(n\/n**8)\/n)\/(n**(-2\/9)\/(n*n**(-1\/2))) assuming n is positive.\nAnswer: n**(-185\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 19. Let d be g(9). Let h = d - 13. Find the common denominator of 61\/4 and h - ((-137)\/6 - 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-868)\/(-651)*(3 - 0)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1700799 (base 10) to base 14\nAnswer: 323b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -16, 11?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 4 + 2 + 6*n. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + a + 3*a + 200 = 0, p = -5*a + 32. Let h = 41 - p. Let s(z) = z**2 + 2*z - 11. What is the remainder when 46 is divided by s(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19861875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let g(y) = -27331*y + 1092. Let z(x) = -27330*x + 1274. Let p(m) = -7*g(m) + 6*z(m). What is p(k(v))?\nAnswer: 27337*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3 + i + 9*i + 1. Let n(u) = -2*u**2 + 15*u + 12. Let c be n(8). Is v(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/40 and -19\/5580032.\nAnswer: 27900160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*c - 51, 91 = -x + 6*x + 3*c. Suppose -n - 27 = 5*w - 47, -2*n - 5*w + x = 0. Let -1\/7*u**3 + n - 1\/7*u**2 + 0*u = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 5. Calculate the remainder when o(-9) is divided by (17\/(-3))\/(3 - (-10)\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0 + 1)*-1 - (-2*sqrt(600) + sqrt(600) - sqrt(24))\/(-2*sqrt(648) + sqrt(648) + sqrt(8)).\nAnswer: -35*sqrt(3)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-135)\/(-35) + ((10920\/49)\/13 - -6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -760, 31, -1, -6, -4.\nAnswer: -760, -6, -4, -1, 2, 8, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((504\/147)\/24)\/((10\/3)\/(-5))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**4 + 52281*y**3 + 543703*y?\nAnswer: -36*y**2 + 313686*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -36 + 6 + -3 + 0 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**3 + h**2 - 32*h + 85. Calculate u(3).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3505*n - 3050 wrt n.\nAnswer: 3505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = -5*j. Suppose -3*t + 0*f = -j*f - 63, -t - 3*f = -35. Suppose -2*y = x + 1 - 11, -3*y + 4*x = -t. 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: Let 2*w**5 - 26*w**4 - 3*w**3\/2 + 20*w**2 - 13*w\/2 = 0. Calculate w.\nAnswer: -1, 0, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 y when three letters picked without replacement from {z: 1, i: 4, y: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226 + -213. Let r(l) = l**3 - l**2 + 5. Let p be r(0). Suppose 3*h - y - a = 2*h, p*h - 4*y = 64. What is the highest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 - 364. Is w less than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96022 - 45393. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 11. What is the common denominator of 1 + (-83)\/28 + t and -23\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*h - 528 - 5752 = 4822 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-134)\/(-5) + 4\/(-5). Suppose -5*q + 11 + 9 = 0, -2*y + 3*q = i. Let s = y + 6. Sort s, -4, 4 in increasing order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9680, 10747, 13620, 19199, 28384, 42075, 61172?\nAnswer: 86575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87 and -56.4.\nAnswer: -4906.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(-21)\/238. Let i = -21\/68 - p. Put 0.3, 2, -0.2, i in increasing order.\nAnswer: i, -0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 2 - 2)*(26*l - 507*l**2 - 2 + 509*l**2 + 1).\nAnswer: -2*l**5 - 26*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -0.774?\nAnswer: 2.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m - 40 = 0. Let b = m - 22. Let g(n) = -145*n - 1. Let u be g(-1). What is the greatest common factor of b and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/16 + -2 + 22\/(-8). Put x, 4, -1 in decreasing order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (10 - 22407) - -12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -837b + 1d?\nAnswer: -835c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2 (c) 0.2 (d) 0.0835\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 696131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154 - 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygrr when four letters picked without replacement from ygvrrv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((72 - 79) + 2 + -2) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 + 11*o - 11. Let f be q(1). Let x be 11\/((-352)\/f)*4. Let p = 10 - 14. Sort p, -0.3, 0.2, x.\nAnswer: p, x, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0291782 weeks to nanoseconds.\nAnswer: 17646975360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.5. Let q = n - 5.5. Let v(k) = 2*k**2 + 19*k + 8. Let u be v(-9). Sort q, -3, u.\nAnswer: q, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2302000 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let i be x(1). Let j(z) = z**2 + 68*z + 1038. Let c be j(-45). Solve -n + i - c = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3128 + 3136. Solve -f*c + 25 = 33 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -459.6212.\nAnswer: -465.6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4*g - 19, -5*n - 2*g - 631 = -616 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931328 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*u + 211*u = 9319500. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 - (-11 + -16 - -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 - i**2. Let v(z) = 3*z - 2*z + 0*z - 2*z. Calculate f(v(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 - 3*s**2 + 12*s + 1. Let v(b) = -2*b**3 + b**2 + 1. Let u(p) = 3*r(p) - 3*v(p). Factor u(q).\nAnswer: -3*q*(q - 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12535654, 25071307, 37606962, 50142619, 62678278, 75213939, 87749602?\n\"Answer: q**2 + 12535650*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -12.6. Let u = f - 11. Let t = -5.7 - -6. What is the biggest value in 0.5, t, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-5) - (-25794)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - 6*sqrt(170)*-1 - -1*(sqrt(170) + -3*sqrt(170)))\/(-4*(-2*sqrt(490) - sqrt(490) - sqrt(490))*-2)*-5.\nAnswer: 25*sqrt(17)\/224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 208960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-206)\/(-16) + 16\/128. What is the highest common factor of 767 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/2177 - -180739\/34832. Calculate the common denominator of 89\/10 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129767*-13.\nAnswer: 1686971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612352 equal to 3612456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 less than -116.9?\nAnswer: -117.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + x + 77, 0 = -3*r + 2*x + 118. Suppose 9*c + 26*c + 37*c = 11232. What is the greatest common factor of c and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 11*j**3\/3 + 17*j**2 + 6*j. Let o(b) = -2*b - 3. Give 68*o(a) + 6*r(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 29 + 39)*(4*f - 7*f - f).\nAnswer: -144*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 569982 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1187*z = 1190*z + 45, q - 13*z - 125 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 31 - 49 = -5. What is the highest common divisor of 185 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 347899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 x when three letters picked without replacement from {h: 1, z: 2, j: 1, s: 2, x: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*w = -79 - 17, 2*w - 168 = -2*k. Let v = 145 - k. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 121*c - 12998. Give w(69).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/31 (b) -1\/802 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*p - 5, -4*z - 2*p = 3*p - 31. Suppose -5*d - 2*t + 7 = 0, 0 = -4*t - z - 7. Is 16 a factor of ((-194)\/d)\/(2\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37381, -74728, -112075, -149422?\n\"Answer: -37347*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 49*g - 221*g + 82*g + 76*g.\nAnswer: -112*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2704992 or -2704993?\nAnswer: -2704993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 3*y - 751 = 16*w, 2*y - 1129 = -3*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**3 - 22*u**2 - 7*u - 7. Let w(m) = -10*m**3 - 21*m**2 - 6*m - 6. Let v(q) = 6*f(q) - 7*w(q). Let a be v(-10). Round a to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-25) + -5)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*c = 34, 2*h - 3*c = -0*c + 21. What is the least common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/5, 0.1, -4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 7*l**2 + 5*l - 2. Let h be t(6). Let x = 835\/8 - 104. Which is the second smallest value? (a) h (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 924472*s - 924468.\nAnswer: -4*(s - 231117)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10247846 - 4141*c**3 + 10247846.\nAnswer: -4141*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40823440?\nAnswer: 2, 5, 7, 269, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -31\/278, 4\/7, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 4:06 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:35 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 23 + 22 = 0. Suppose -b + 21 = 1. Let q = b - -22. What is the remainder when q is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 108*o**2 - 945*o.\nAnswer: -3*o*(o - 21)*(o - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 147*o**2 - 1733*o. Let p(u) = -2*u. Give a(p(t)).\nAnswer: 588*t**2 + 3466*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110952.085 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361 - -1. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 522\nAnswer: 208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 9\/1107469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(1\/2))**12\/(r**(-10)*r*(r*r\/(r**(-8)*r))\/r))**(-41) assuming r is positive.\nAnswer: r**(-1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157702219.\nAnswer: 613, 257263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 85*a**2 - 12607*a - 51780. What is g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 3174*y**3 - 310456*y**2 - 7022808*y + 43273440 = 0.\nAnswer: -1484, -54, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16276845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242 - 120. Let y = -73 + a. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(17\/(-68)). Is n smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 192941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 4*r**2 + 5*r - 1. Determine h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 6. Let l be m(-3). Sort -2, l, 2, 6.\nAnswer: l, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 10*a - 6*a)*(1914 - 1914 - 126*a).\nAnswer: -630*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.7. Let k = -0.04 + h. Let x = 1.46 - 1.16. Put k, x, -0.1 in increasing order.\nAnswer: -0.1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)\/((p*p*p**(-1\/2))\/p*p)*p**1*p\/((p\/(p\/p**(-4)))\/p))**20)**(-15) assuming p is positive.\nAnswer: p**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 433949977 a multiple of 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k. Which is bigger: k or -1\/20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16556113\/4290 - 19296\/5. What is the common denominator of j and -5\/858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4*15\/(-6))\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -4*c + 12, -3*h = -5*c + 13. Find the common denominator of 902\/495 + 2\/c and (10 - 139\/10)*10\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12369531*j*l**3*p + 12*l**3*p + 5*l**3 + 830*l*p wrt j?\nAnswer: 12369531*l**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**6\/36 + o**5\/10 - o**4\/8 - 7*o**3\/18 + o**2\/2 + 57. Let q(n) = 0. What is n?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*57\/(-152)*50\/15?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 314 - 185 + 54 - 4*g - 197 as s + n*g and give s.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 602384663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(2\/7))\/a)**(-7)*a**(6\/23)\/a**(2\/71) assuming a is positive.\nAnswer: a**(-7785\/1633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 14. Suppose -2*b + 5*b = -s + 76, 4*s - 4*b - 240 = 0. Let u be s\/6 + 4\/(-6). What is the units digit of a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 3*m + 9 = 0, t + 26*t + 3*m - 8 = 24*t + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -31 + (32 - -24) + 32\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -65) + 6 + -17.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580996865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 1122*a - 23705. Give u(-21).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Suppose 0*u + 4 = 2*u. Suppose -3*l + 5 + 8 = 5*x, -2*x = -4*l. Let v(c) = -6*c**u + c**2 + c**2 - c**x. What is v(n(z))?\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u + 25*u - 549 = -10*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2140.058731 - 0.041269. Round c to the nearest 10.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -2, -0.4, -2\/3, -0.3 in ascending order.\nAnswer: -2, -2\/3, -0.4, -0.3, -1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 5*g + 68. Let a be i(11). Solve -3*r = a*p - 8, -2*r - r = 5*p - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**2 + 75*d - 180. Calculate w(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2454 - -2474. Which is the biggest value? (a) t (b) 4 (c) -0.4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 968.544 months?\nAnswer: 80.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 17}. Give prob of sequence bddd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**20)\/w)\/(w*w\/w**(-18\/7)*w)*(w\/((w**(-1\/11)\/w)\/w))\/(w**(1\/3)*w) assuming w is positive.\nAnswer: w**(3970\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028445557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5078 + -5079. Put -3, 20, 0.5, 1\/4, b in descending order.\nAnswer: 20, 0.5, 1\/4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 26*x + 630. Let r = 57 - x. Calculate the remainder when 159 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 224424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105*m**3 - 17*m - 155 wrt m?\nAnswer: -315*m**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let i be n(2). Let l be (-7 + 5)\/(i\/(-5)). Let d(r) = -r. Let q(h) = h**3 + 2*h**2 - 5*h - 2. Calculate l*d(f) - q(f).\nAnswer: -f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*p**2 - 2\/5*p.\nAnswer: 2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17268*r**2 + 9275*r**2 - 3010*r**2 - 3303*r**2.\nAnswer: 20230*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/2)*c**(-4\/7)*c*(c**7*c)\/c**(-4) assuming c is positive.\nAnswer: c**(195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-20)*(3\/(-21) - 507\/(-21))*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 70 = -28*p + 25*p, -60 = 4*q - 4*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 726109?\nAnswer: 2178327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1058910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Suppose d = -0 + w. Is ((0 + -1)*-27)\/d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 17 - 43 + 12 + 14. Give c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7242110766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 28*b - 35. Suppose 19*f + b = 20*f. Let d(o) = o**2 + 3*o. Let z be d(-3). Solve g - u - 3 + f = 0, z = -2*g - 3*u + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -85*i**3 + 2*i**2 + i. Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -48085, 4\/3 in increasing order.\nAnswer: -48085, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + v + 2, -3*v = -2*s + 14. Let c(l) = 0*l - 5*l - s - l + 7*l. Let d(o) = -4*o**3 + 17*o + 3. Let p(u) = -5*c(u) + d(u). Solve p(b) = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 6. Let n be h(18). Let z = 227 + -76. Calculate the remainder when z is divided by ((-38)\/(-3))\/(n\/36).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000120719 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12606 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 17*j - 16. Let m be k(-19). Suppose -2*o + 12 + m = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3 - 4\/(-6). Let g = -1507 - -1514. Suppose -g = -x + j - v*j, -3*j - 51 = -3*x. Solve -d - x = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 0.41, -0.1, -3 in decreasing order.\nAnswer: 159, 0.41, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2. Let c(t) = 8*t - 6. Let z(g) = 175*g - 135. Let i(h) = 45*c(h) - 2*z(h). What is u(i(w))?\nAnswer: 600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43*(-110)\/28380*-90.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.26 and -106.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.9. Let r = -8 - -11. Let q = 76 + -155\/2. Sort h, q, r in ascending order.\nAnswer: q, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119.9 - 137. Let i = o - -18. Let r = i + -1.2. Which is the nearest to 1? (a) -3 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -63, -84, -99, -108, -111?\n\"Answer: 3*i**2 - 36*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -25*f - f**4 + 0 + 0*f**2 - 1\/3*f**3. What is the second derivative of s(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13286584*-0.1\nAnswer: -1328658.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/8 + 15527*k**3 - 745327*k**2\/8 + 310555*k\/4 = 0.\nAnswer: -124222, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 24. What is the units digit of (-295)\/n + (-1)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2516 - 25?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, 0, -1\/3, -3.\nAnswer: -504, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-8)\/6))\/((-7)\/(-1092)*13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31246, 0.04 in decreasing order.\nAnswer: 31246, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**6\/p*p*p**(-2\/5))\/((p\/(p*p**(-2\/9)*p))\/p**(4\/3)))\/((p*(p*p**7)\/p)\/(p**(-4\/5)*p))**(1\/36) assuming p is positive.\nAnswer: p**(1349\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6496734*d**2*l**2 + 5421*d*l**2 - 87*l**2 + l wrt d?\nAnswer: 12993468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**2 + 5*y - 5. Let k(t) = -26*t**2 - 8*t + 8. Let i(h) = 8*d(h) + 5*k(h). Let l(r) = -2*r**2 + 3*r - 3*r. Determine i(l(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2172897971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2553, 9813, 21915, 38859, 60645?\n\"Answer: 2421*v**2 - 3*v + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 254 + -252. What is the lowest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5798520 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 - h**2 + 2*h + 2. Let v be a(-1). Suppose -4*z + v*b = -396, 4 = 2*b - 4*b. Let f = z + -92. Let g(k) = k**3 - 7*k**2 + 5*k + 1. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(-8)\/6. Let j = 4292\/9 - 478. What is the common denominator of j and s\/3 + 284\/(-42)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(1102\/(-29))*(1\/(-3) + 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 4*n, 4*x + 3*n + 3 - 27 = 0. Factor 5*g - g**x - g**2 - 3*g + 0*g**3.\nAnswer: -g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54372*m + 12*m**3 + m**4 - 54372*m - 2 as v*m + z*m**4 + w + x*m**2 + p*m**3 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 + (-14)\/(-18). Suppose -6*v + v + 190 = -2*l, 100 = 3*v - 4*l. Let s be 2\/(-14) - v\/(-35). Is j <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 + (-1071)\/136?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than -72329.871?\nAnswer: -72329.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 57 = s, v + 5*s - 60 = 3*s. Suppose 31 = -c + v. Solve 24 = -3*q - 0*i - 3*i, -3*i - c = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(0 - 3 - (-2 + 0)). List the prime factors of 575 - (m + -4 - -5)\/1.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (-5 - -3 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -87*g**5 + 12969*g**4 - 406662*g**3 - 5762736*g**2 - 12963840*g + 921600 = 0.\nAnswer: -8, -3, 2\/29, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeyeyyeyeeeeeeeee?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)*l\/(l*l*l**(1\/4)\/l) assuming l is positive.\nAnswer: l**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -2611, -19\/10.\nAnswer: -2611, -19\/10, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89264 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoz when three letters picked without replacement from fofyysfzxfzffszsf.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + 270\/35. Suppose -4*t + g = 2*n, -4*t - n + 10 = -0*n. What is w in t*w**2 + 9\/2*w - 3*w**3 + 3\/2 - 3\/2*w**5 - 9\/2*w**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*w + 27, 0*w = i + w - 8. Solve -i*n + 4 + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 - 2*y**3)*(-184 - 403 + 70).\nAnswer: 1034*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 464576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 83*u**3 + 26.\nAnswer: 83*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/12*(-4)\/(-14). Let h be (2 + -5 - -7)*(-6)\/40. What is the third smallest value in -4, y, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4477, 4476, 4475, 4474, 4473, 4472?\n\"Answer: -k + 4478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/((-45)\/6) - (-47 + -1). What is the derivative of -11 + t - 15*s**3 + 9*s**3 - 8*s**3 wrt s?\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -5 (c) 10 (d) -207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 3*k**2 - 4*k - 4. Let q = 1 - 2. Let i = 0 - 18. Let j be 68\/i - 2\/9. Let r(s) = -s**3 + s**2 + s + 1. Determine j*r(g) + q*o(g).\nAnswer: g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -64 + (11 - (-6 + (19 - 10)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.23271 to 0 decimal places.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (12 - (11 + -9 + 11)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h = -4*h + 208 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -0.15\nAnswer: -5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 44472*o - 44471.\nAnswer: -(o + 1)*(o + 44471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120813558 is divided by 422?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 - 10010001010001?\nAnswer: -10001111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - (sqrt(78)*-1 - sqrt(78))*-2 - sqrt(78)))\/sqrt(6) + -4.\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*n**2 + 82*n**2 + 87*n**2 - 8*n**3 - 15*n.\nAnswer: -8*n**3 + n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -71*a**6\/30 + 89*a**2\/2 + a - 16. What is the derivative of p(o) wrt o?\nAnswer: -284*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i + 4. Let j(o) = -15*o + 8. Let l(a) = 2*j(a) - 5*s(a). Let g be l(4). Let f = -16 + g. Solve f*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2*15\/(-2). Let l be (-3)\/2*(-1 - b\/(-9)). Let u(p) = p**2 + p + 2. Let z be u(-2). Solve 4*f + z = 4*g, 0 = -f + l*f + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 7 + 39 = 0. Let k(n) = 3*n**2 + 3*n + 3. Give k(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11020120 (base 3) to base 7\nAnswer: -12006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*z + 22, 0*y = 3*y - 3. Let o be 4\/(-14) - (-2)\/7. Let v(t) = 5*t + 1 + o*t - t**2 - 2. Determine v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 325 = -5*l, l = 4*l + 3. What is the greatest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - -2*sqrt(130))*6)\/sqrt(10)*-3 + (-2*(2 + sqrt(7488)))**2.\nAnswer: 435*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) 5 (c) -434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 652644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 226056 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 107 + 1455*w - 1450*w - w**2 - 3*w**2. Let p be f(14). Which is greater: p or -608?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1658, 1653, 1650, 1649, 1650, 1653, 1658?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1782965, 5 in descending order.\nAnswer: 1782965, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157252255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.7 - -21. Let y = h + 2.7. Let a = -2.3 + -1.7. What is the second smallest value in a, -0.02, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - ((-4 - 0) + 0))\/(-2). Sort -3, -1, 1, v in descending order.\nAnswer: 1, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20 + 17)\/((-3)\/1208).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-4\/23)*(v*v**0)\/(v**(-1)*v)*((v**2)**(-19))**(-2\/13) assuming v is positive.\nAnswer: v**(2099\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 865 - 192. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*2\/54 + 232\/(-1017). Let r = v - 224\/339. Is -0.021 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4509721 is divided by 322122.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1 + 3. Suppose -13 = -2*r - 5, t + 2*r - 14 = 0. Calculate the remainder when t is divided by ((0 - -3) + c)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34*-30.\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199721214 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 1\/26, 2 in decreasing order.\nAnswer: 3, 2, 1\/26, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k - 0*k + 2*o, 3*o = k + 12. Suppose 0 = -u + 4, k = y - 2*y - 4*u + 13. Let n = -0.4 + 0.4. What is the closest to 0 in y, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99.895 - -100. What is o rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 313 + 87 - 27 - 208)*(2 - 2 - x)*(13 + 71 + 22) in the form j + u*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258\/9429 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9261199 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3163905 divided by 5?\nAnswer: -632781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 1. Let n(q) = q**2 - 11*q + 1. Calculate -n(k) + 6*o(k).\nAnswer: -k**2 - k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-18)*10*(-2)\/6*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**5 - 1. Let l(f) = -45*f**5 - 16*f + 2. Let k(m) = -l(m) - 2*q(m). What is the second derivative of k(w) wrt w?\nAnswer: 860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:54 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 514*w - 4539*w**3 + 4541*w**3 - 3 - 1026*w + 512*w.\nAnswer: 2*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211110201 (base 3) to base 13\nAnswer: 75c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 0 (c) 15 (d) -77 (e) 8\/3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c**(2\/17)*c*c*(c\/(c\/(c**1*c))*c)\/c**(-1\/6))\/(c\/c**(-4\/7)*c**6*(c\/(c\/(c*c\/((c\/((c**0*c)\/c))\/c))))**1) assuming c is positive.\nAnswer: c**(-9487\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(70\/112).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 2*v**2 - 8*v\/3.\nAnswer: 2*v*(v - 4)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 240.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.1 - -9. Which is the closest to 2? (a) q (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526 is divided by 431?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/156 and -101\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233 + -117. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 192\/33 - (-4)\/22. Calculate the remainder when (-3)\/v*1*-116 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) + -2*(-2*sqrt(209) - sqrt(209) - sqrt(209)))) + sqrt(209))\/sqrt(11))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose 9 = -3*r, l*h - 19 = 2*r - 7. Suppose 3*z - 23 = 2*z - 2*k, 0 = h*z - 5*k - 36. Solve 5*a - 9 - z = 4*w, 2*w + 2 = -3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 15, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, p: 3}. Give prob of sequence pwwp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 152*m**2 - 19*m + 4. Let k(r) = 30*r**2 - 3*r + 1. Determine -2*g(y) + 11*k(y).\nAnswer: 26*y**2 + 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/2 + 15*l**3\/2 + 29*l**2 + 42*l + 20 = 0.\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*b - 1188 - 132 = 700 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3896)\/(-42) + 6\/(-9). Let p be ((-12840)\/28)\/(-5) - 2\/(-7). Let s = r - p. What is the third biggest value in -0.07, 0.3, s?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 100*a + 706. Let h be p(8). Calculate the greatest common factor of 3348 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -0*a. Solve -2*h + a = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 12713*p**2 - 5*p**4 - 3*p**3 - 1 + 0*p**3 + 12712*p**2 as v*p**2 + n*p**3 + a + r*p + m*p**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 + 1880171*g**2 - 1880179*g**2 - 328.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4526\/29 - 156. What is the third biggest value in a, -3\/8, -3, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -478\nAnswer: 13\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (104 - 62) - (55 - -2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/53 - -130\/159. Factor -x*l**3 + 0 - 2*l - 7\/3*l**2.\nAnswer: -l*(l + 2)*(2*l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 844 and 4853.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7098465 is divided by 2366033.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.03 - -4.91. Let r = 0.12 + n. Let t = -4.4 + r. Which is the nearest to -0.5? (a) -3 (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**5 + 3*l**5 + 0*l**5 + (4*l**3 - 5*l**3 + 3*l**3)*(-4*l**2 + 2*l**2 + l**2) - 5*l**5 + l**5 - l**5 + 2 - 2*l**5 - 2 - 2*l**4.\nAnswer: -12*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 4. Let j be g(-3). Suppose -q = z + 4, -3*q + 11 = -j*q - 2*z. Let t = q - 0. Put -2, t, -3 in decreasing order.\nAnswer: t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4353 + 4352.95. Which is the closest to -1? (a) 12 (b) j (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-115) + 3 - 2) + 0\/26?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -18, 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)\/f)\/(f**(-2\/25)\/f))**32*(f**0)**(14\/5)\/(f**(-4)\/f**2) assuming f is positive.\nAnswer: f**(-6186\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 460*n**2 - 1436*n - 1896.\nAnswer: 4*(n + 1)*(115*n - 474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021874 rounded to 7 decimal places?\nAnswer: -0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -457*z + 104955. Calculate v(229).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4192\/17 - -20994\/85. Let m = -1 + -2. Sort 0, 1\/25, n, m in decreasing order.\nAnswer: n, 1\/25, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -28*w**2. Let l(r) be the third derivative of -r**5\/20 + r**2 - 15*r. Calculate s(l(b)).\nAnswer: -252*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 4, -14 in increasing order.\nAnswer: -14, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73\/92 - 1\/23. Let g = 0.0786 + 0.1214. What is the nearest to g in p, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 1\/8 (c) -684 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*n + 2, -3*u + 3 = 2*n + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 33*b**3 + 78*b**2 + 48*b.\nAnswer: 3*b*(b + 1)*(b + 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3 - 1. Let u(z) = -2. Let y(f) = f - 7. Let n(g) = 7*u(g) - 2*y(g). What is n(a(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2*h + 35. Let v be x(7). Suppose v = 3*k - 5*p - 1719, 570 + 577 = 2*k - 3*p. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 16*a - 13*a. Let j = 30 + a. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 7. Let q be w(3). Let p(x) = x**2 + 1. Let g(m) = -495*m**2 + m + 3. Let n(v) = -g(v) + 2*p(v). Is n(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 - m + 1. Give s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -6. Suppose 0 = s*x + 2*w - 23 + 3, -5*x = 5*w - 20. Suppose x*k - 116 = -0*k. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -2*v. Let z(s) = -s + 1. Let m(t) = 2*t + 145. Let q(l) = m(l) - 3*z(l). Let u be q(-28). Which is the smallest value? (a) 4 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 37*j**5 + 9*j**5 + 6*j**5 + (-3*j**3 - 4 + 4)*(-2*j - 2*j**2 + 2*j).\nAnswer: -16*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2496)\/(-36))\/((-5)\/(-15)). Let r = 206 - b. Let a(c) = 2*c**2 - 2. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 72 = a - 5*m, -4*a + 5*m = 244. Let i be 1*-5*a\/20. Calculate the common denominator of -9\/2 and 1334\/(-336) - (-6)\/i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + a60d?\nAnswer: a60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10263*n + 120585 - 484897 = -1489*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 316183 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 8143960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z - 22*z - 40*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135691261 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097405 < 2097407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 + 7\/28. Let q(s) = -2*s**2 - s + 2. Let v be q(w). Let b be v - (-2 + -1 + -3). Solve -b*n = -j - 0*n - 10, 5*j = 2*n - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 (base 9) in base 8?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 912\/10 - (-2)\/(-10). Suppose 586 = 9*y + u. Suppose 0 = 3*o, a - 3 - 8 = -4*o. What is the greatest common divisor of y and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 1011 - 906. What is the lowest common multiple of 30 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518640249?\nAnswer: 3, 659, 262337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -18. Let j = 18.9 + p. Let m(t) = -5*t**3 + 2*t**2 - 2*t + 1. Let f be m(1). What is the nearest to 0.1 in j, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2657 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/(-12) + 1\/(-6). Let m(z) = 9. Let c(p) = -p + 19. Let t(v) = 2*c(v) - 5*m(v). Give t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12615)\/25056 + 2 + (-3)\/2. Is 1 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8906511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 6*q**4 + q**4 + (-20 + 20 + 4*q**2)*(4*q**2 + q**2 + 3*q**2).\nAnswer: 29*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 61*f**2 - 13*f - 11. Let t(a) = -246*a**2 + 54*a + 46. Determine 25*n(p) + 6*t(p).\nAnswer: 49*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 258710945 + -0.2?\nAnswer: 258710944.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43746\/305 or -142?\nAnswer: -43746\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(6\/5))\/(z\/(z**7*z)*z))\/(z**0\/z)**39 assuming z is positive.\nAnswer: z**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, 8, 3264.53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znieg. Give prob of sequence in.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((65*64\/(-10400))\/((-2)\/70*-1))\/(-16)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10927 + -10925. What is the smallest value in n, 0.2, -0.06, -2\/17, 9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 126 = 4*w. Let d be (-4)\/(-8)*w\/(-1). What is the greatest common factor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212091880 rounded to the nearest one million?\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -212. Suppose x*c - 3*p = 126 + 99, -3*c + 5*p = -227. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7052 and 820?\nAnswer: 35260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -73*d**3 - 29*d**2 + 90*d + 131. Is f(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 * 8.\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a409 (base 11) in base 12?\nAnswer: -20b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + o - 3*o + (-o - o + 3*o)*(-4 + 1 - 1))*(-2*o**3 + 0*o**3 + 4*o**3) to the form r*o**2 + y*o + d*o**3 + v*o**4 + h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 642 = -31*o. Suppose 8*w - 3 = -o. Is -7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/792*22*((-8)\/6)\/2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 125*q + 84. Determine z(-42).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -9. Let q = j + -23. Differentiate 0*m**q - 3*m**3 + 0*m**3 - 2 with respect to m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:20 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3 + 13*i**2 + 15*i + 64. Let t be z(9). Solve t = -c - 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(250) + -1*sqrt(10)*-3 + sqrt(10))\/(6*sqrt(80) - sqrt(5) - (sqrt(5) - (sqrt(25) + 1*sqrt(25))\/sqrt(5))) + 5.\nAnswer: 7*sqrt(2)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and -143\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 0*q**3 + q**3)*(-1 + 1 - 2*q**2) - 2*q**2 - q**5 + 2*q**2 + 17*q**5 - 17*q**5 - 11*q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837746 is divided by 418867.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37179\/50 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 0, 2*y - 33 = -4*i - 3. Suppose -4*n = y*x - 163, 2*x + 46 = -2*n + 130. Solve 12*c + n = -13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 27, 75, 145, 237, 351?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 26*j**2 + 1. Let f = 5 - 4. Is m(f) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 = 0, 0*m = 4*m - 4*z - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3737 = 4*z, -z + 5*v + 3777 = 3*z. What are the prime factors of z?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005645 rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 250335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 31 = -c, -4*c = -3*q - 78. Let v be -7*(0 + (-6)\/c) + 2. Solve 3*a - 16 = -h, v*h = -a + 7 + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 + 4*d. Let s be r(-3). Let t(h) = h**2 - 7*h + 6. Let u be t(s). Let x(y) = -y**3 + y**2 + y + 203. Is x(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -687. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -2. Suppose -11 = 3*b - 47. Is b > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/5 + 8262288*i\/5 - 16524588\/5 = 0.\nAnswer: -2754098, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6909 - 6905. Solve d*w + 4*u + 2 = 6, 1 = -3*w - 5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by 113.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 328 - 517 + 43 - 121)*(-2 + 1 + 0) as q*h + j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/153 and 37\/423?\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkbkkkbk. Give prob of picking 1 b and 2 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21121021211 (base 3) to base 15\nAnswer: 2e521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9026509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2708 - -2712. Let y be (25 - 1)*(-1)\/(-2). Calculate the highest common factor of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1425*t + 515839. Give r(-362).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {s: 3, c: 2, g: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, 5.\nAnswer: -26, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*t = -0*o + 15, -4*t + 20 = 0. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20130 + 3144154?\nAnswer: 3124024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 78*o - 136. Calculate s(-76).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -10*d**4 - 25*d**3 + 20*d**2 + 15*d = 0.\nAnswer: -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 25*a**2 - 57*a - 81. Let t be h(-27). Suppose t = -31*k - 1543 - 1650. Which is smaller: -102 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-693))\/(2 + (-12332)\/6168). Let l = 150\/11 + x. Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -674487 not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00121345 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - a)*(4*a - 3*a + 3*a)*(-3*a**3 + 5*a**3 + 7*a**3).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-2 + -1 + sqrt(275) + (sqrt(275)*-2 + 1)**2).\nAnswer: -4395 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i**2 + 3*i + (0*i**2 + 2*i**2 + 0*i**2)*(-2 - 3 + 6) - 5*i**2 - 2*i**2 + 2*i**2)*(-4 + 4 + 5).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a factor of 4271372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 19*w**3 + 14*w**3 + 5*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 4. Let c be 18\/(-4)*(-24)\/b. What is the units digit of c\/(-4) + (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/591 and 13\/9.\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 5\/2, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 977395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/13188128 and -81\/304?\nAnswer: 13188128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -67. Find the second derivative of -3*i + 3*i**4 + 5*i**4 + r*i**4 wrt i.\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, 13 in ascending order.\nAnswer: 0, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 12*r - 3. Give c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/9 + -43\/63. Let g = -11 + 17. Let k = g - 3. Sort 2\/9, l, k in decreasing order.\nAnswer: k, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/1377*-3*1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1. Let y(r) = 23*r - 1. Calculate n(a) + y(a).\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*u + 16 = 0, 2*l + 26 = 5*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -3 + -1 - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-932)\/44 - (-12)\/66. Let c = -19 - f. Solve -r = -c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v)*(-2*v**4 + v**4 + 11*v**4 + (0*v**4 - 2*v**4 + 5*v**4)*(11 - 4 - 12)) - 2*v**5 + v**3 - v**3.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-13)*h**(-8\/5))**(3\/10))**(2\/29))**19 assuming h is positive.\nAnswer: h**(-3876\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - (6 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-2\/3))**(-16) assuming o is positive.\nAnswer: o**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -53 + 27 + -8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -5\/3 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1277007 (base 10) to base 5.\nAnswer: 311331012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0\/4)\/(48\/(-336)*105\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 343, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291369877*s**5 - 382665*s + 294.\nAnswer: 5827397540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1040 = -17*v + 16*v, -5*v - 5 = 0. List the prime factors of q.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 83065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**3 - 18*z**2 - 567*z + 1139. Determine h(2).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14872\/3 + 4958. Find x such that -2\/3*x**5 + 4\/3*x**3 - 8\/3*x**2 + 4\/3 + 4\/3*x**4 - p*x = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2 + m + 2 - 1 + 5. Let b be v(0). Solve -b*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrrrrrrrrrrrrr. Give prob of sequence rru.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**3\/6 + k**2 - k. Let x(n) = -n + 1. Let q(c) = -s(c) + 2*x(c). Let b(l) = l. Determine b(q(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*f + 22*f + 672 = 0. Which is the third smallest value? (a) -126 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1331580 and 4.\nAnswer: -5326320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 30021 = 10*s - 11*s, 5*a = -3*s + 89993. List the prime factors of s.\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311*x - 117*x + 2*x**2 + 186*x to i*x**2 + a + q*x and give q.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2) - sqrt(33))*3)\/(sqrt(6)\/sqrt(32)) + (-5*(sqrt(1100) + -1)*-4)**2.\nAnswer: -8000*sqrt(11) + 440400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 858057*s - 29177406 = 0.\nAnswer: -286053, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11617 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136843171 is divided by 953.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -877 + 283?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2)\/(-4)*4. Suppose 5*f - b - 7 = 0. Let k = 8 - f. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 1672*s**2 + 883728*s + 142228224 = 0. What is s?\nAnswer: -684, -304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 - 2*c**2 + 2*c**2 + (-2*c**2 - 7*c**2 + 2*c**2)*(-2*c + 3*c - 3*c) - 1303*c**2 + 1 + 2603*c**2 + 9*c**3 - 1298*c**2 + 2*c.\nAnswer: 19*c**3 + 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-25 + 13) - (1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 5, -7\/3, 709?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -53 + 26 + 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1*12\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from vjjjjjvvjjjjjjjjvvv?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2474 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j = 107*j + 20, -31 = -6*b + 5*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -0.4 (b) 3 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/143 - 300\/1001. Suppose w = -0*p + 4*p - 29, 10 = -2*w. Let o be p\/27 + 10\/9. Which is the closest to m? (a) 1 (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb (base 12) in base 10?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 13*p - 20. Let r be c(9). Suppose -a + r = 4. What is the second derivative of -3*o - 3*o + a*o + 23*o**4 wrt o?\nAnswer: 276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4266, 7915, 11564, 15213, 18862, 22511?\n\"Answer: 3649*s + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18956371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 - 25 = 0. Let n = b + -1. Suppose 4*t - 5*y - 4 = 4, n*t + 3*y - 4 = 0. Solve 2*k - t*o = -4, 2*k + o = -1 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(12)\/sqrt(3)*-2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**9\/1008 - r**5\/60 - r**3 - 2. Let l(h) be the third derivative of f(h). Find the second derivative of l(k) wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4053 - -4053.12. Let j = -0.2 - 0. Sort 2, l, j.\nAnswer: j, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 74\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*m - 24 - 3, -17 = 3*f - 4*m. Let g be f + -5 + 68\/17. Factor -1\/2 + g*j**2 + 1\/4*j**3 - 3\/4*j.\nAnswer: (j - 2)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11836892 divided by 148.\nAnswer: 79979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3415.7 - -3416. Which is the second smallest value? (a) n (b) 79 (c) -1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let d be a(0). Sort d, 5, -14 in descending order.\nAnswer: 5, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -f + 60, 0 = 4*r + 3*f - 8*f - 48. Suppose -b = r - 63. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w + 130. Let l = -17 + w. Suppose -4*a = -5*s + a + 65, -5*a = 4*s - 88. What is the remainder when s is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 3)*(8*a**2 - a**3 - 8*a**2 + 1).\nAnswer: -7*a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + x + 2 = -8*c, 1 = -4*c - 3*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u - 21. Let m be b(4). Suppose t = -m*v + 16, 0 = 2*v + 3*t - 8*t - 5. What is the second derivative of -v*q**2 - 9 - 17*q + 2 + 7 wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.5827297.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-588)\/35 - (8\/(-10))\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52146 by -26073.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 7*s + 8. Let k be l(-6). Suppose 2*z = k*i + 4, i + 2*i = -5*z - 30. Which is the second biggest value? (a) z (b) 3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 131261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.269 + 0.26351. What is t rounded to 4 decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534160.\nAnswer: 2, 5, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/710*2026\/21*3. Let b = 2\/71 - o. Find the common denominator of b and -44\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/9 + 20*c**4\/3 + 224*c**3\/9 + 80*c**2\/3 = 0. Calculate c.\nAnswer: -10, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-6))\/((10\/1650)\/((-330)\/25)). Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 175 (b) -2\/5 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x**4 + x**2 - 4360715*x + 118817952?\nAnswer: -8*x**3 + 2*x - 4360715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210323122 + 2222?\nAnswer: -210320300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.48464141 to 2 dps.\nAnswer: -3.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -55*w - 70. Determine u(10).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*f + 6*m - 21, 3*m = 65 - 56 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -28*t**2 - 5. Let m(w) = 57*w**2 + 11. Let x(h) = -13*h**2 + h - 1. Let p be x(1). Let g(d) = p*f(d) - 6*m(d). What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29682*h + 59394*h - 29706*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 4, d: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -65*g**2 - 3*g + 10. Let z(p) = 64*p**2 + 2*p - 10. Let y(c) = -4*n(c) - 3*z(c). Let l be y(2). Let j = l + -175. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 1, 3, 4\/9, -2\/25, -12 in decreasing order.\nAnswer: 65, 3, 1, 4\/9, -2\/25, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46896?\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 1\/2*x**2 + 83 + 0*x. Let b(u) = 11*u - 2. Calculate b(y(f)).\nAnswer: 11*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71644.6 millilitres in litres?\nAnswer: 71.6446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**2 + 12 + 12 + 5*n**2 - 9. Suppose 5*j + 32 = -43. Let c(u) be the third derivative of -u**5\/60 + u**3\/3 + u**2. Give j*c(h) + 2*w(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 67690.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*h**2 - 330*h**2 - 108*h**2.\nAnswer: -906*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 75. Suppose p - 6*p - b = 0. Let z(a) = a**3 + 3*a**2 + 2*a + 2. What is z(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r**2\/3 + 160455*r + 258258 = 0 for r.\nAnswer: -11739, -66\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2*u**2 - 4*u**2)*(38*u**2 - 37*u + 37*u) + (-3*u + 5*u - 3*u)*(-1 + 2 + 0)*(2*u**3 - 3 + 3).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1172619845, 1172619843, 1172619841, 1172619839, 1172619837?\n\"Answer: -2*i + 1172619847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 405*p - 489*p + 252 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -145*g**3 - 13*g**2 + 4*g + 5. Is 17 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184473 divided by -6.\nAnswer: 61491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 - 343 + 10*y**2 - 8*y**3 + 675.\nAnswer: -8*y**3 + 10*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2) + 1661\/302. Which is the third biggest value? (a) -4 (b) q (c) -23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 1*sqrt(1008) - sqrt(1008))*-2)\/(4*(sqrt(108)*-1)\/sqrt(12)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -14. Let i be 3 + (-3)\/p*4. Suppose i*r - 5*x - 2860946 + 540951 = 0, 3*r - 1740001 = -x. Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -4*n, -3*n - 2*n - 5*b = -5. Suppose 4*c - 3*m + 27 = -0*m, 0 = -2*c - 4*m + 14. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -8.5 (b) 4 (c) 429 (d) 0.3 (e) 0.5 (f) 2\/7 (g) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjujujrjurs. Give prob of picking 1 j, 1 h, and 2 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.9. Let h = -33 - -30. Which is the nearest to 0? (a) i (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Let m(x) = -x**2 - d - 2*x**2 + 2*x**2 + 4. Determine m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p + 1 - 58*p - 41*p + 77*p.\nAnswer: -68*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u + 19*u. Solve 3*h + 15 - 30 = u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let w be 1\/(-1)*(u + -27). Let f = w - 8. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -143. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 7*v + 5. Calculate the remainder when b(-6) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116717 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*c - 2*g - 45, -5*g = 15. Let x = 0 - -2. Suppose 5*f - 20 = 5*o + 120, -x*f = 4*o - 50. What is the highest common divisor of f and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*5\/(-10))\/((-26)\/8). Let q = -0.5 + -2.5. Let t = 7 - 5. What is the nearest to t in q, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10554 is divided by 3518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 551340?\nAnswer: 551340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2. Let p(v) = -v**2 + 3*v + 4. Let o be p(3). Let i(t) = -o*t + t + 2*t - 3*t. What is i(f(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -4*d + s, 190 = 5*d - s - 202. Let q be (d\/12)\/(1\/2). What is the highest common divisor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q - 4*c = -53*q + 20, 5*c = 4*q - 25. Put 20, q, 4 in ascending order.\nAnswer: q, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {t: 3, x: 8}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*d = 3*d + 3, 4*t + 3*d + 3 = 0. Suppose -19*v + 38 = -t. Put v, 20, 1 in decreasing order.\nAnswer: 20, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/168 and 133\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7206 is divided by 153.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -4, -23, -92 in descending order.\nAnswer: 14, 2, -4, -23, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 584 or 582?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 15*h - 26. Give v(14).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 62*q + q**3 + 62*q)*(-1 - 1 + 3)*(0 + 3 - 5).\nAnswer: -2*q**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - -13310323?\nAnswer: 13311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z. Suppose 0*u = p - 4*u - 18, z = -5*p - u + 6. Find the third derivative of 0*y**2 - 2*y**5 - 4*y**p + 0*y**5 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/(-46))\/((-50)\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n**3 + 0)*(-1 + 1 + 3*n) + 202*n**4 + 331*n**4 - 424*n**4.\nAnswer: 103*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 6:46 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 133857 divided by -44619\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:20 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 150*x - 3110. Let k be d(25). Solve -3*n + 72 = k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*i**(-8))\/i)\/i**5 assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 70*n - 8818. What is h(126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 11 + 25. Which is greater: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/4 - 4*f**3 - 7*f**2\/2 + 27*f + 2. Calculate p(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -15063746\nAnswer: 15063758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -340, -503, -670?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 != 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*d**3)*(16*d - 39*d + 142*d + 67*d).\nAnswer: 372*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 97 = -2*k, -75*k + 73*k - 370 = -4*z. Calculate the remainder when z is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 3*z + 2*z + (-2*z + z - z)*(-39 + 14 - 13)*(-3 + 4 + 0) as k + c*z and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:32 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 10961113*l - 8 + 8*l**2 - 10961004*l)*(2*l - 2*l + 2*l**2) to the form t*l**2 + f*l**3 + v + b*l**4 + i*l and give f.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:23 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 288, 669, 1214, 1929, 2820?\n\"Answer: u**3 + 73*u**2 - 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148415.791 take away -897.8?\nAnswer: 149313.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvyyyyly. What is prob of picking 2 v and 1 y?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.09, 105\/4, -18, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -716 or 5701?\nAnswer: -716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 + (-11)\/(-12). Let b = 1.4 - 1.5. What is the closest to 2 in 3, l, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b7c (base 13) in base 8?\nAnswer: -10077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 10*m = -5*d + 21, -d - 3*m - 9 = 0. Suppose 3*w - 65 = 7. Calculate the lowest common multiple of d and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 307 - b79?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233191 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/5 + 8*r**3\/5 - 4*r**2\/5 - 8*r\/5 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:14 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + -5 - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -358, -448?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20918*m - 1315. Is z(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -44934884136000000*g**6 + 121445632800000*g**5 - 136763100000*g**4 + 82140000*g**3 - 27750*g**2 + 5*g - 4060. Factor p(z).\nAnswer: -5*(2220*z - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)*s**(-4\/3)*s)**47)**(-50) assuming s is positive.\nAnswer: s**(15275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.0294 to the nearest integer.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**3 + 3*u**3 + (-9 + 9 + 5*u**2)*(-3*u + 3 - 3).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1261, -1261, -1251, -1225, -1177, -1101?\n\"Answer: v**3 - v**2 - 4*v - 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (7 - 7)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*s + 100*s - 6. Find b, given that 16*b + 8 + 17*b + b**2 + s*b**2 = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000108 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 813225 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evevvvveee. What is prob of picking 1 e and 2 v?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-14)\/(-21). Suppose -24 = 4*f - 8. Which is the biggest value? (a) f (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464986 times -5?\nAnswer: -7324930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.22917m to micrometers.\nAnswer: 68229170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232 + -232.59. Let l = p + 0.99. What is the smallest value in l, 2, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1521 (base 6) to base 3.\nAnswer: -120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/29466 and 65\/22.\nAnswer: 324126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 17*i**3 + 2*i**2 + i - 4. Suppose 12*u - 3 = -6*u + 15. What is x(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 127. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 30 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 275, 331, 427, 563, 739, 955?\n\"Answer: 20*y**2 - 4*y + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -5*v + 5*d, -108408 = -6*v + 2*d - 108486 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -16. Suppose 0 = x - 2 - g. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let l = -114 + 258. Let c = 144.06 - l. Which is bigger: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = l + 479, j - 236 = 2*l + 2*l. Suppose -5*z = -5*y - j, -5*z - 4*y = -3*y - 270. What is the remainder when z is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7633 (b) 8592 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*p = -6*p - 6, p + 3 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 9*b**2 + 3*b - 54. Let f be c(-10). Let j(r) = -3*r - 2. Let n be j(-6). Calculate the highest common factor of f and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + q + 10 = 0, -2 = 5*q + 8. Factor 12 - 3\/2*p**3 - 18*p + 9*p**h.\nAnswer: -3*(p - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60165880?\nAnswer: 2, 5, 1504147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 587720029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -820788 divided by 205197.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 79 = -6*c. Sort 3, c, -7 in descending order.\nAnswer: 3, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.7, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/75243?\nAnswer: -8\/75243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*s = -0*m - 20, -2*m = -2*s - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26606.\nAnswer: 2, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10999*n**2 + 3362 - 10997*n**2 - 166*n + 2*n.\nAnswer: 2*(n - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f, -5*h = 5*f - 8*f + 4548. Let r = 4652 + h. Round r to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/20 - 17*u**4\/24 - 11*u**3\/6 - 8*u**2. Let f(v) = -2*v**2 + 5*v - 2. Let s be f(4). Is b(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k = 60*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y + 12*y - 9*y**2 - 2 + 4*y**3 - 3*y**3. Calculate the common denominator of 87\/10 and s(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 13. Let l be j(-7). Suppose -3*a - y + 14 = 0, -3*y = a - 1 - 1. Let n be (-3)\/3 - l\/a. What is the nearest to 2\/9 in -3\/8, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96393\/5 or 19279?\nAnswer: 19279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2611505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trtt when four letters picked without replacement from {t: 5, r: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119210 and 110.\nAnswer: 1311310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55369170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 474042?\nAnswer: 474043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40674597 divided by -1.\nAnswer: 40674597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 18, 3, -2\/41, -5, 4, 6 in increasing order.\nAnswer: -19, -5, -2\/41, 3, 4, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 2*q + 0*q)*(7 + 10 - 34)*(-13*q - 6*q**2 + 13*q).\nAnswer: 918*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5507*y - 5520*y - 80 = -4*a, 2*a = 3*y + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 55?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 4, 0.28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.7. Let g = -0.134 - 2.866. Sort 1\/7, g, o.\nAnswer: g, 1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954974483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3*h**2 - 8*b*h**3 - 580*b + 63198*h**3 wrt b?\nAnswer: 9*b**2*h**2 - 8*h**3 - 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-45)*10\/(-4). Let z be 235 + ((-12)\/l - -2). What is the highest common divisor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 19, l: 1}. Give prob of picking 3 d and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*q - 4 + 12, 0 = -2*r - 2*q - 10. Let t be (r - -8)\/(-3) + 4. Let c(d) = 8*d - 3. What is the units digit of c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/349 + -3807\/2792. Suppose 15*l - 340 = 10*l. Calculate the common denominator of a and -4 + 9\/6*l\/27.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, r: 1, k: 2, t: 3, j: 5}. What is prob of sequence rtj?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*p - 180786 = -815*p for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Suppose -3*k = v*k - 15. Let f(c) = -k*c + 5*c - 3*c. Let w(z) = -12*z**2. What is f(w(t))?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 18972 = -36*o. Round o to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 5. Let c = h + 8. Let l be 9\/c + 2 + -2. What is the third biggest value in l, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-91 - 0)) + -1. Suppose 5*o + 32 - k = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let t be (-2)\/13 + 8361\/13. Let j(k) = 643 - t + 12*k. Give j(q(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 7\/20*l**5 + 1\/2*l**3 + 0 - 13*l**2 + 0*l**4 + 0*l. Does 29 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*j - 4*j - 542, 2*q + 4*j = 368. Let m(i) = -78*i + 91. Let t(d) = d - 1. Let v(k) = q*t(k) + 2*m(k). Let s(l) = -3*l. Determine v(s(b)).\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.1 (b) -1\/6 (c) 2 (d) -2 (e) 0.2 (f) -624\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 1)*(0 - f**2 + 0 + (-3 - 2*f + 3)*(2*f - f - 3*f) - f**2 + 4*f**2 - 5*f**2).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185638.45500075 - 185619.455. Let f = g + -19. What is f rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((30*f - 23 + 23)*(3*f**2 + 2 - 2) + 6*f**3 - 25*f**3 - 3*f**3)*(2*f - f - 5*f) as q*f**2 + l*f**4 + b*f + j + d*f**3 and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*d*m**3*q + 179*d*m**2 + 203*m**3*q - 8*m**3 + q with respect to d.\nAnswer: 21*m**3*q + 179*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3239*s**4 + 2*s**3 - 2*s - 159260.\nAnswer: 38868*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -56, -121372.\nAnswer: -121372, -56, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - -104 - (-1 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -324*h**2. Let r(n) be the third derivative of n**5\/60 + 135*n**2. What is u(r(w))?\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uumu when four letters picked without replacement from mummmmmuummuum.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.89, 1\/5, -1 in descending order.\nAnswer: 1, 0.89, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 31*m - 72. Let g be y(9). Let x = 70 + -50. What is the highest common factor of g and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-30))\/((-3375)\/(-1250))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let l(n) = n**2 + 2*n. Let h be l(-3). Suppose -6*x + 3*x + h = 0. What is the closest to y in 0.3, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqwq when four letters picked without replacement from {q: 3, w: 4, y: 4, u: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7275617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let g(q) = -q**2 + 10*q + 9. Let b be g(11). Let s(k) = -k**3 - 4*k**2 - 3*k - 3. Let o be s(b). Put o, -4, d in ascending order.\nAnswer: o, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8 + 48*f**2 - 14*f**3 - 42*f**2 + 3*f - 2*f - 3*f. Let t(s) = s**3 - s**2 - 1. Determine h(l) + 8*t(l).\nAnswer: -6*l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11349 - 6065. List the prime factors of c.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 12\/11 (c) 2\/3 (d) 9 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 3*h - 5. Let x be w(-2). Suppose 0 = -10*j + 20*j - 30. Suppose 3*v = -0*g + g, -v - 4*g = 0. Put x, v, j in descending order.\nAnswer: j, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 1. Let r = 0.475 - 0.175. Which is the second smallest value? (a) r (b) 53 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 2. Let a(i) = -8*i - 10. Let l(g) = a(g) - 3*m(g). Let w(s) = -4*s - 3. Calculate 5*l(z) - 6*w(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150721 or 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 23*d - 37. Calculate x(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-198)\/((-324)\/(-36))*7\/(-2))?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + j**2 + 12 - 40*j + 44 - 25 + 40 to d*j**2 + i + o*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -3. Let f be 1\/(-15)*10\/4. Let z = 0.01 + -0.21. What is the nearest to z in j, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*t + 3*n, -t - 5*n + 7 = 3*t. Suppose 2*c + 3 = g - 5, -2 = g + t*c. Suppose g*o - 79186 - 208814 = 0. Round o to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*r**2 + 579*r**2 - 296*r**2 + 1880*r**2 + 245*r**2 to j*r**2 + t*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s + 162 = 3*k, k + 116 = -4*s. Let d = -57\/2 - s. What is the third smallest value in 1\/3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6010 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 6*j**2 - 24*j - 4. Let w(u) = -2*u**3 + 15*u**2 - 47*u - 9. Give 5*k(v) - 2*w(v).\nAnswer: -v**3 - 26*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - (0 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635\/8 bigger than 455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or -0.9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 68 = -44. Let u = 33 - j. Does 9 divide (-1)\/u + 3367\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -744\/69095 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*k = 10, 50 = 2*r + r + 2*k. Suppose 4*l + y - 28 = -2*y, 5*y - r = 0. Solve 5 = -l*n - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 + m + 1. Suppose 2*c = 4*u - 2*u - 8, c + 16 = 5*u. Let v be (c - 2)\/((-9)\/(-9)). Give p(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 3. Let o be p(0). Suppose o*z - 10 + 4 = 0. What is the third derivative of -6*k**4 + k**6 + 6*k**4 + k**z wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -4. Let h(l) be the first derivative of 0*l**4 + 1 + 0*l + 1\/6*l**6 + l**3 + 0*l**k + 0*l**2. Find the third derivative of h(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4684, -37558, -126872, -300868, -587788, -1015874, -1613368, -2408512?\nAnswer: -3429548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -17*i**5\/20 + 5*i**4\/12 - 5*i**3\/6 - 29*i**2\/2 + 3*i + 22. Is 10 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r + 32. Let l be d(-8). Let h = 394 - 233. Let n = h - 81. What is the greatest common factor of l and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42787532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - -125?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 + 25*f - 9. Is g(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(567)*1 + 0 - 4*sqrt(567)*-2) + -1 + 2.\nAnswer: -2 + 81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 900 - 900. Let l = 0.07 - -2.93. Sort 32, l, p.\nAnswer: p, l, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1163 or 1166?\nAnswer: 1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 1, i: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210001112 - 2?\nAnswer: -210001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890763.13 rounded to the nearest one hundred?\nAnswer: 1890800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -99. Let i(o) = -o**2 - 3*o + 4. Give i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0*n**5 + 6*n**3 + 99*n + 0*n**2 - 1\/10*n**6 + 4\/3*n**4 + 0. What is the second derivative of z(f) wrt f?\nAnswer: -36*f**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*s**2 + (-3*s + s + 0*s)*(-3*s + 2*s - s) - 2*s**2 + 3*s**2 + s**2 - 2*s**2 + s**2 + 2*s**2 + (5*s - 4*s + s)*(3*s - 11 + 11).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1106566 (base 10) to base 4.\nAnswer: -10032022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 315\/7*(-2)\/((-12)\/(-26)). Let o = 207 + l. Suppose 2 = 4*p + 2*k - 10, -9 = -3*p + 5*k. Solve 3*r - o = -3*b - 0, 0 = p*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*l + 30. Calculate the lowest common multiple of 2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 9*j - 3. Determine m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5347.9 - -260.\nAnswer: 5607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2)*(6*r + 7*r + 2*r)*(0 - 3 + 2)*(-18 + 50 - 20).\nAnswer: -720*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-5)*(1 + 1148\/12). Calculate the highest common divisor of n and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171652657 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + -1.07. Let v = u - 23.77. Let h(n) = n + 11. Let z be h(-12). Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 907990.66 + -27.\nAnswer: 907963.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -y, 0 = 5*z - y + 5 + 1. Let x(p) be the second derivative of -p**4\/12 - p**3\/6 + p**2\/2 + p. Let a be x(z). Is a bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.0836 nanograms in micrograms?\nAnswer: 0.0420836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13487 - -14375. What is the least common multiple of x and 6?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -5, 2, 0, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(396) + 2 + sqrt(396) - sqrt(396))*1*3 + 3*(-5 + (sqrt(396) - (-1 + sqrt(396))))*-6)**2*-4.\nAnswer: -518400 + 31104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64574 (base 8) to base 14.\nAnswer: 9bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555230 and 3042?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 49.5. What is the nearest to a in 0.2, -4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -5 - (-1 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/19231? (a) -1\/7 (b) 1 (c) 1.5 (d) -1\/3 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/9 (c) 0.4 (d) 2 (e) -4732 (f) 8.8 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2726\/13 + -8048\/39. Let f = 2 - -1. Suppose 2\/3*k**f - t*k**2 + 0 - 4*k = 0. What is k?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195\/87094 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let p(x) = 2*x - 3. Let r be 95\/4 + (-9)\/(-36). Let n = -23 + r. Let q(z) = n*p(z) - 3*o(z). What is q(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i**2 + i. Let y be x(4). Suppose -6 = -3*w + y. Calculate the lowest common multiple of (1\/5 + -1)\/(4\/(-90)) and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 78*w**2 + 97*w + 799. Calculate v(-79).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((4 + -1*sqrt(11)*-2)*6)**2 - -3*(sqrt(704) - (-2 + sqrt(704))**2)*-1).\nAnswer: -4284 - 456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 116355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -b - 5, 0 = -5*f + 2*b + 3872. List the prime factors of (-3)\/(f\/(-764) - -1).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 279 = -2*y + m, -235 = -y + 4*m. Let a = -151 + y. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 92*v + 5542. Determine n(-61).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710093 divided by 77?\nAnswer: 22209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g - 9. What is d(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22392, 22438, 22484, 22530, 22576?\nAnswer: 22622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 3 + 35*a + 37*a - 105*a.\nAnswer: -6*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let z be ((-160)\/(-18))\/4 + v. Let u = -0.2 - -0.1. Which is the second biggest value? (a) z (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262 and 298233.\nAnswer: -78137046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/19 or 3?\nAnswer: 45\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**1))\/w)\/w**(-2\/5)*w**(-2)*w**(-5))**(-1\/47) assuming w is positive.\nAnswer: w**(33\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 11. Suppose c*j - q + 2*q = 3, -2*j + 3*q = -2. What is the remainder when -7 + 5 - (j + -39) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3133 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14285090 is divided by 34505?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0847918 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/7)\/z**(-26)*z\/z**(1\/3)*z*z**(3\/38) assuming z is positive.\nAnswer: z**(22027\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 18.0257142 and 0.4.\nAnswer: 18.4257142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 82, 163, 266, 385, 514?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 - 12985*p**2 + 1891400*p - 67056500 = 0.\nAnswer: -2737, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 198*7\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 27\/(-6)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8415 - 29107 = -5*r - v, -5*r + 20710 = -5*v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12 - (-109)\/3. Suppose 4*s + 46 = -38. Let v = l + s. Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2265 and 26\/23305.\nAnswer: 10557165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:07 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/63 + 153\/21. Suppose q + 104 = -k*q. Let v(a) = -6*a - 30. Does 24 divide v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-68))\/(249\/(-664)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 46\/(-23)) + 34\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -10. Suppose 4*h + 4*j - 7 = 3*h, 3*h - 5*j = 21. Let n = h + w. Solve -3*b + n = -q - q, 5*q + b = 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((0 + sqrt(171) + 0)**2 + 4 - (2 + (3*(sqrt(171) + sqrt(171) + 0 + sqrt(171) - sqrt(171)))**2)))*-1.\nAnswer: 23944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5)*k*(k\/k**(1\/4)*k)\/k)**(-48))**(2\/15) assuming k is positive.\nAnswer: k**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -0.36, 678\/23?\nAnswer: 678\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1476 + 51 - 4420)*(4*r - 8*r + 2*r) + (-3 - 4 + 5)*(r - r - 2*r) in the form b + l*r and give l.\nAnswer: 5790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 676582, 1353208, 2029834?\n\"Answer: 676626*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0*z**2 + 0 - 1\/6*z**3 + 8*z. Let s(g) = -3*g. Determine t(s(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458463607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**2 + 0*p**4 - 10*p - 1\/50*p**6 + 0*p**5 + 0 - 1\/70*p**7 + 0*p**3. Suppose j(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 + 1 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 12100210?\nAnswer: 12100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6*i + 50 = 0, 2*q + 5*i = q + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-2)\/(-16))\/(2\/4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 38 - 10 - 10 - 18.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)*-1 + 21. Suppose -2 = 2*w - t + 2, 5*t - s = 0. Let y(z) = z**3 + 7*z**2 - z - 3. Let q be y(-7). Solve -b = -w*b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + p**4\/12 + 2*p**3\/3 - p + 29. Let h be f(-1). Sort h, 3, 5, -5.\nAnswer: -5, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siwn when four letters picked without replacement from swisnswnis?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 27*m**2 - 20*m - 2. Let f(p) = p**2 + 16*p + 61. Let k be f(-10). What is the smallest common multiple of a(k) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 bigger than 0.0694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxk when three letters picked without replacement from qygssxskyyysgysqgyqs?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s - 67. Calculate x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xyqyxyysyyyyyy.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 9*q + 86 + 0*q**3 + 6*q**2 - 94. List the prime factors of t(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + s - 5, -w + 15 = 2*w + 3*s. What is the smallest value in -4, 4, 2, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-51*z + 277 - 277) + 6*z - z - z.\nAnswer: -149*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 12336?\nAnswer: 61680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124156, 247967, 371778, 495589, 619400, 743211?\nAnswer: 867022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 17542 = 11274. Suppose 5*p - f = -0*i + 2*i, -5*i + 3630 = 5*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = -0*v. Let g(d) = d**2 - 5*d - 3. Let c be g(v). Is (-2*25)\/(c + 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -205. Let q = 255 - k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + 0.9. Let i = n - -3. Let k be 2 + ((-16)\/5)\/2. What is the nearest to 0 in k, i, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 + 23 = -2*i, t + i = 0. Let y(q) = -5*q**2 + 4*q**2 + 4*q**2. Let a(w) = -13*w**2 - w - 1. Let z(u) = 2*a(u) + 9*y(u). Calculate z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i - 7. Let h be b(4). Suppose h*k - 191 = 54. Calculate the remainder when 289 is divided by k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001855182 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 = 2*l - 8, -l + x + 13 = 0. Let j(o) be the second derivative of -o**4\/12 + 7*o**3\/2 - 13*o**2 + 16*o. Let y be j(19). Is l equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 5. Let l(t) = 16*t - 24. Let g(a) = 3*l(a) - 14*z(a). Differentiate g(o) with respect to o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -3)\/1 + 3. Suppose n - w - 12 = 2*w, 0 = y*n + 5*w - 50. Calculate the highest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 31*w - 23*w - w**3 + 2 + w**4 + 45*w in the form y*w**3 + k + d*w + u*w**4 + i*w**2 and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 382750 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -44.1. What is the closest to d in -5, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4521 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 2. Let h be -3 + -2 + (7 - 0). What is the units digit of o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108084, 108098, 108112, 108126, 108140?\nAnswer: 108154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 - 7*j + 2. Let o be r(6). Let m be (-1)\/o + (-27)\/84. Suppose g - 16*g + 15 = 0. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 127?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 7}. What is prob of sequence uq?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2637696536.\nAnswer: 2, 329712067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000042106822 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.21 and -0.1?\nAnswer: -0.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from ffwfdofnd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 11:01 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5621 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/4 - 1\/4*j**2 + 3*j.\nAnswer: -(j - 13)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95304 is divided by 677.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5944303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 + 136. Let d = -1 + -8. What is the remainder when 63 is divided by (-338)\/t + d\/(-45)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/5 + 23889*w\/5 - 23886\/5 = 0.\nAnswer: 1, 7962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 124*y**2 - 676*y + 1279. What is v(67)?\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -7, -2\/21, -0.1, -4, 112?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6062, -12124, -18186, -24248?\nAnswer: -30310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5487, 0.4, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -18*a**2 + 340*a + 42. What is c(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10487 - -10485. Sort 0.1, 144, 4, c, -1 in decreasing order.\nAnswer: 144, 4, 0.1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-6*3*3.\nAnswer: -162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/((-10855)\/(-5421) - 2). Solve -f = -5*m - 243 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 460416377.3 to the nearest one million.\nAnswer: 460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145 - -5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1)*50\/15. Suppose -5*z - 121 = -4*d, d + z - s = 9. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3*v**3 + 0*v**3)*(0 + 4 - 2)*(-2 - 9 + 4 + v).\nAnswer: 2*v**4 - 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2544 = -957. Suppose 0 = 5*l - z - c, 2*z = l + z - 109. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -107446*y + 322334. Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(17)*6 + sqrt(2057)*-1.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/11 or -8344234?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 30 = -11*w. Let r be w\/(-7)*28\/8. Suppose 28 + r = 6*k. What is the remainder when 29 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 6 + (5 - 9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 261350.4 days in milliseconds?\nAnswer: 22580674560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/250 and 34\/25?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1))\/(-4)*(-14)\/77.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 885849, -4, 0 in ascending order.\nAnswer: -4, 0, 885849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**2 + 107*c**2 + 91*c**2 + 155*c**2 + 20*c**2.\nAnswer: 343*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.5 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14207\/7 + -2033. Suppose 4*n = 4*c + 140, 3*c + 104 = 5*n - 5. What is the common denominator of 51\/c*2\/2 and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 3. What is the least common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*w + 2, -28 = -2*u - 2*w. Suppose -8 = -5*r + u. Let z(i) = -r + 2*i - 3 + 8. Let c(v) = -3*v. Calculate c(z(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from xbtbcbntiicbbcnnnnb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.3, -2\/11, 2\/19, -8\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.689 rounded to one decimal place?\nAnswer: 24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -72. Suppose -f*c - 294 = -3*y, -3*y = c - 11 + 93. What is the units digit of (28\/(-98) - c\/(-14))*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, 1, -1 in descending order.\nAnswer: 1, -1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618713 to the power of 1\/2, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 8*d + 12. Suppose w + 2 = -4. Let x be r(w). Suppose -3*m = -2*m - x. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from {c: 2, d: 1, t: 2, m: 3, l: 1, k: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0445? (a) -4 (b) 5 (c) -1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddggdgdddggd. Give prob of picking 1 d and 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -3 + (2*sqrt(304) - sqrt(304)))*-3 + 2.\nAnswer: -24*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/696 and -67\/696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 21*f**2 + 32*f + 30. Let x be g(-23). Let h = 112 + x. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j + 13*j - 12*j + 6*j to the form m + y*j and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -48. Let o = 25 + -18. Suppose -p = -m + 5*v, -o*m + 96 = -2*m - 4*v. Solve 3*f + f + m = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 454 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52111505 (base 8) in base 7?\nAnswer: 162622116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*11\/(-3) + -10 + 15. Let s(l) be the first derivative of -l**2 + 6*l - 5. What is s(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:25 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let u(p) = p - 1. Let c(v) = -3*j(v) - 2*u(v). Determine c(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 46. Solve -2*i + 9 = k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686238 to the power of 1\/2, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/2 + (7 - -1). Suppose -b*o + 0 = 5*r + 30, -r + 3*o - 14 = 0. Let k be (-20)\/(-30) + (-26)\/3. Is r > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b. Let s(i) = 5*i. Let x(r) = 3*h(r) - 8*s(r). Let t = -3 - 7. Let q(u) = -u - 5. Let m be q(t). Calculate x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 119098, 238186, 357240, 476242, 595174, 714018?\n\"Answer: -3*t**3 + t**2 + 119106*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4644828542 to the power of 1\/3, to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5685 + 3084 - 4*w + 2601 - 8*w**2.\nAnswer: -8*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 0) + 12\/(-6). Suppose 15*n - 18*n = -27. Let x = -2 + n. Solve -4*i - w = 5*r - x, 0 = -2*r + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (1 + -1 + sqrt(128)))**2 + (2*(sqrt(128) + 2 + sqrt(128)))**2 - (-2 + 2*(sqrt(128) - (-1*sqrt(128))**2) + (-3 + sqrt(128) + -1)**2).\nAnswer: 304*sqrt(2) + 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 + 2*z - 6. Give o(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, -0.1, -0.4, -2 in ascending order.\nAnswer: -398, -2, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k. Suppose k = -5*z + 216 - 1. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.7 + 44. Let r = -1.7 - d. Let p be 6\/(-4)*1\/(-3). Which is the third smallest value? (a) r (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72a3 + -9212?\nAnswer: -1c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1155474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 3521?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 17 - 534)*(-f + 3*f - f).\nAnswer: -461*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*p - 0*p - 33, -o - p + 14 = 0. Suppose -4*y + o*x = 4*x - 136, 2*y - 82 = -x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-3\/2)*i))**5\/(i**2)**(3\/8) assuming i is positive.\nAnswer: i**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ksiqqqsesssqsjkqs.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29055, 29025, 28945, 28791, 28539?\n\"Answer: -4*s**3 - s**2 + s + 29059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:01 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -83.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44022 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8778 and 1670669?\nAnswer: 190456266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24997, 99974, 224919, 399826, 624689, 899502, 1224259, 1598954?\nAnswer: 2023581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000057220222 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/17)\/(f*f**5))\/(f*f**11*f*f*f**(3\/2)\/f*f) assuming f is positive.\nAnswer: f**(-735\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1666, -1817, -2002, -2239, -2546, -2941, -3442, -4067?\n\"Answer: -3*g**3 + g**2 - 133*g - 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -10, -4*g + 145 = -3*x + 171 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28112 + -28090. Calculate the remainder when 1490 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2038, -16294, -54968, -130264, -254386, -439538, -697924?\nAnswer: -1041748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 3, y: 3, f: 1}. What is prob of sequence hhfh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9923683\/582 - 17051. Which is smaller: 1\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + (sqrt(252)*5 - sqrt(7))*2)*-5)**2.\nAnswer: 72500*sqrt(7) + 14718125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7926 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222720 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 8. Let t be w(-2). Is 14 a factor of -1 + (1 - t) + 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2*((-2)\/4 - 0). Let k(n) = -3 + p*n**2 - 4 + 7. Let z(g) = -g. What is z(k(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5496.427088 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24378 and 4096938.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 p when three letters picked without replacement from cbcyyypcypb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20336 and 5224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2526*y = 2589*y + 3591 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1335471 (b) -3 (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 7*s - 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**11))\/(h**(-2\/13)\/h)*(h*h**(3\/2)\/h)**(1\/8) assuming h is positive.\nAnswer: h**(-2009\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**8\/168 + 7*f**5\/15 + 32*f**2. Find the third derivative of c(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))**21*(c*c**(4\/5)*c)\/(c*((c*c\/(c\/(c\/((c*c*(c*c**(-3))\/c)\/c)))*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3357080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.12? (a) -1 (b) 5\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.8394, 24.1, -0.2?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**2 + 2 - 1\/30*p**4 - 2\/15*p**3 + 2*p. Let j(b) be the first derivative of i(b). Determine n, given that j(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1401?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(96)\/sqrt(4))\/sqrt(4)))**2 + (-4 + 1 + sqrt(847))**2.\nAnswer: -66*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 + 258*f**2 - 22695*f\/2 + 21675.\nAnswer: -3*(f - 85)**2*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 - 6*p. Let u(a) = -6*a**3 + 5*a. Suppose 4 = d + 4*t + 13, 3*d + 2*t + 17 = 0. What is d*u(h) - 4*z(h)?\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-69)\/12 + 5)*-168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d + 15. Let s(l) = l - 3. Let m(w) = -2*p(w) - 11*s(w). Does 5 divide m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - v. Let j be i(-1). What are the prime factors of j\/((1 - 2)\/(-1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1)\/((-4)\/24*-2). Let t(q) be the first derivative of -2\/9*q**3 - q**2 + p - 4\/3*q. Find x, given that t(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*t + 1, -6*c + c = -5*t + 30. Let r(a) = a**2 + 3*a - 6. Calculate the remainder when (-2)\/c - (-1915)\/55 is divided by r(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6825205 - 4402256153\/645. Let q = d - -1\/215. Let v = -349281 + 349286. What is the fourth smallest value in -2\/11, v, q, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2393\/101972 or 0?\nAnswer: -2393\/101972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/(-42)*18\/4. Calculate the greatest common factor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.7, 4, -1\/9, -3.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/35*-2*(-2)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7605*a. Let y(f) = -28*f**2 - 6. Give y(k(u)).\nAnswer: -1619408700*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86992 and 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/3)\/((-1)\/(-21)). Let h be (2\/7)\/(7\/u). Factor 0*n**3 + 0*n**2 + 6*n + 3*n**3 + h + 6*n**2 - n**3.\nAnswer: 2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/2 + 5*q**3\/3 + 4*q**2 - 12*q - 879. Let w(u) = u**3 + 3*u**2 + 5*u - 8. Give 8*w(h) - 5*y(h).\nAnswer: -2*h**3 - h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, b: 1, g: 4, t: 2, f: 2}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 164400 = -4*a. Round a to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1399 + 4*p + 506 + 348 + 511.\nAnswer: 4*p - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 + -3)*-1)\/(-1). What is the lowest common multiple of b + 4 - 2 - -3 and 25\/9 - -1 - (-4)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 176819, 353664, 530509, 707354?\n\"Answer: 176845*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -498.6 + 498.8. Which is the fifth smallest value? (a) -0.4 (b) 1\/4 (c) 28 (d) 0.3 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {u: 1, b: 2, t: 3, y: 1, w: 1, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35320 - 35317. Let o = -38\/7 + 134\/35. What is the second biggest value in g, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 668. Let z(m) = 7*m + 17. Let w be z(-10). Let v = w + d. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22*p. Let j(r) = 2542*r - 1171*r - 1215*r - 1. Determine j(y(g)).\nAnswer: -3432*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 + 0.54\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.326 and 14.78418.\nAnswer: 14.45818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 1:39 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)*m\/(m*m*m\/(m*m\/m**(-1\/7))))\/(m**(2\/11)*m**(-6\/5))*((m*m\/m**1)**(-11))**(-1) assuming m is positive.\nAnswer: m**(60096\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46956721 is divided by 163044?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) - (sqrt(325) + 1)**2 - (sqrt(52)*-4)**2.\nAnswer: -1158 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2440 + -1706. Let i = s + -524. Let o = -210.0149 + i. What is o rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -24*u + 4*u + 6*u. Sort 35, -4, 0, u, 4 in descending order.\nAnswer: 35, 4, u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20680.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 55*n**3 - 6*n**2 + 18*n + 4. Is 3 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*z - 27 = -4*x, 0 = -x + 3*z - 6. Suppose x*s = -4*v + 2056, 4*v = 5*v - s - 514. What are the prime factors of v?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 3*d - 13, 97*d = 2*x + 94*d + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + l**4 - 5*l**4 + (8 + 0 - 5)*(2*l**4 + 2*l**3 - 2*l**3)*(-6 + 2 + 3).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020012000 + 202011?\nAnswer: -10012102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let o(m) = -4*m**2 + 6*m - 6. Let w(c) = -9*c**2 + 13*c - 13. Let u be 6\/(-33) + 128\/(-22). Let x(d) = u*w(d) + 13*o(d). Give p(x(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 40. Solve -r - 1 = k*b, -b + 6 = -3*r - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 1018.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314820 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Suppose -x*t - t = 0. Suppose -13*k + 17*k - 16 = t. Solve k*m - 4 = 6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 17*r**5 - 49*r**4 + 45*r**3 - 11*r**2 - 2*r = 0?\nAnswer: -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + -1 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -869 - -2053. Suppose 5*o - 2921 = p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - -11) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19634741\/4 or 4908686?\nAnswer: 4908686","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 12940 + -12905. Solve 1742*s = 1749*s - w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 115. Let h be p(-39). Let l be (-36)\/10 + (-4)\/10. What is the smallest value in l, 3, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 at most -1783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 18795?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -969444 divided by -3\nAnswer: 323148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-9696)\/(-6) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6745155775?\nAnswer: 5, 3167, 85193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*-2*(0 + 23). What is the common denominator of 5\/25 + 81\/z and ((-6)\/(-32))\/(-1*(-2)\/(-84))?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 1, c: 1, p: 1, o: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 493000 to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1497978.\nAnswer: 2, 3, 83221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -626049131\/1496 + 418482. Calculate the common denominator of 5\/16 and n.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180069 divided by -3.\nAnswer: 60023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 8. Let r be d(-6). Let m(i) = -10*i**2 - 4 - 10*i + i**2 - 39*i**3 - r. Let y be m(-7). Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -n + 6, -3*x - x = -12. Let j(m) = -11 + 27 + m - n. Let o(s) = -8*s - 7. Determine 6*j(k) + o(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118)\/(-1298) + 178\/(-1474).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5 = 0.0079773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212.04 + -0.96. Let y = -212.99986 - a. Round y to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018363103 rounded to 6 dps?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 636\/(-40) + 3 and 47\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 184, 314, 442, 568?\n\"Answer: -u**2 + 133*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60095 = 2*i - 5*c + 60087, 0 = -5*i - 5*c + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -57 and -50 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 257972 and -0.14.\nAnswer: -36116.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 337, 331, 325, 319?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 22383*p**2 + 67188*p + 89568 = 0. Calculate p.\nAnswer: -7464, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/24 - (1 - 3\/12). What are the prime factors of (-1 + 1\/(-3))*(q - 42)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/55440 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 - 5*w + 16. Let i be 33 + -38 - (3 + 0). What is the units digit of o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 12 - 15)*(81*y**4 - 84*y**4 + 199*y**4).\nAnswer: -2352*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*s - 18, 2*s + 0 = 3*k - 31. Let z be k*(-2)\/(-4)*(-4 - 2). Is z greater than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -46 - 28*y - 6*y + 16*y. What is the least common multiple of j(-7) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s*z**4 - 2*s*z**2 - 14*s + 12*z**5 wrt z.\nAnswer: 72*s*z + 720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.06 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*5\/4)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16919341.\nAnswer: 2003, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12049 or -11855?\nAnswer: -11855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75598453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 - 153*d**2 + 153*d**2 - 3*d**3)*(-d - d**2 + d)*(0 - 3 + 1).\nAnswer: -6*d**5 - 322*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, 30 = -2*q - 2*r + 3*r. Suppose 139 = -5*l - 2*d, -14 = 5*l - 4*d + 113. Let z = q - l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = 2*d, -4*p = -4*d - p + 12. Calculate the least common multiple of 16 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -1.317 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x = 2*b + 108, -2*b = 2*x - 32. Suppose -43 = -3*n - 10. Suppose n*y + x = 16*y. What is the greatest common factor of 36 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 l when three letters picked without replacement from ldjlljjjlljllj.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d4 + -641?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -2, -0.2, 3259, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-171)\/(-35910)*25\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u*v**2 + 5*u*z**2 - 131*u*z + 35*v**2 + v*z**2 - z**2 wrt v.\nAnswer: 6*u*v + 70*v + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)\/l**(-5\/9))\/((((l**(-10)*l)\/l)\/l)\/((l*l\/(l\/l**(-3))*l)\/l)) assuming l is positive.\nAnswer: l**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -s - 4*b, 4*s + b + 50 = -b. Let z be (-39)\/9 + (-2500)\/(-1650) + (-2)\/11. Sort z, -4, -5, s.\nAnswer: s, -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863, 1731, 2601, 3473, 4347, 5223, 6101?\nAnswer: 6981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642041 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = 5*n - 2*d, -2*n = d + 8. Let v = -1 - n. Suppose -v*z = -6*z + 9, 0 = 3*k + 3*z - 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: Work out 0.095037 - 5.\nAnswer: -4.904963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.10375 to one decimal place.\nAnswer: 132.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**4 + 66*f**4 + 8*f**4 - 7*f**4 - 2*f**4 + 2*f**4 + (2*f - 2*f - 2*f)*(9 + 6*f**3 - 9).\nAnswer: 43*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*n. Let k be n*(-3 + 1)\/4. Which is smaller: k or 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -44. Suppose -5*x = -4*f - 38, 3*x + 9 - 35 = 4*f. Let g be 4\/(20\/x - 2). Solve s*j + g = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 8*z**3\/3 - z**2\/2 - 31. Let y(o) = o**2. What is r(y(b))?\nAnswer: 8*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 119 = -113, 0 = -5*p - y + 66828. What are the prime factors of p?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 21 = 5*d, -3*l - 2*d = -46 + 17. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1225 - -1224.9. Which is the closest to -2? (a) 5 (b) 6 (c) v (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/570248 and 79\/2851240.\nAnswer: 2851240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 2*b**7\/105 + 2*b**4\/3 + 14*b**2. Find the second derivative of a(v) wrt v.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/52 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606\/(-16) + (429\/(-416)*4 - -4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124421?\nAnswer: 11, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -175 in -1, 4, -0.5, 3\/11, 0.66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -9. Which is the second biggest value? (a) -3 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Let d(v) = -v**2 - v + 1. Let o be d(g). Let f be 5 + -2 - (o - -7). Solve -x = -a + f - 3, 0 = -x + 4*a - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2229 + -2245. What is the third smallest value in -5, j, -0.5, 2, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1)\/(-3) + (-22814)\/(-13617). Let b = 1108\/5607 + d. Calculate the common denominator of 67\/24 and b.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16920.54 and -0.13.\nAnswer: 16920.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.5 and 2924074660801.\nAnswer: 2924074660810.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.196 to 1 dp.\nAnswer: 36.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u + 4. Let n be k(4). Suppose -3*w = -n*w. Solve 5*y + a + 25 - 5 = 0, w = 3*y + 2*a + 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 74*y - 92. Let j(i) = -36*i + 47. Let l(s) = -2*f(s) - 5*j(s). Let m be l(2). Solve 0 = -z + 4*d - 6 - 5, -d = 5*z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeugwxcc. What is prob of sequence wxxc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 - 2*q**2 - 4*q - 4. Let b(c) = -11*c**3 + 4*c**2 + 9*c + 9. Let r be 99\/22 - 1\/2. Calculate r*b(d) + 9*k(d).\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*-0.5.\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -10d5bc58?\nAnswer: 10d5bc5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/51 and 137\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10)**42)**(1\/21) assuming p is positive.\nAnswer: p**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 9697. Let c(a) = 22*a + 38786. Give -3*c(l) - 13*z(l).\nAnswer: -l + 9703","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 = -2*a - 19, z = -5*a - 1. Which is greater: a or -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5200 in 0.3, 5, 7\/37, 3, 0.2?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5683873 and -0.4.\nAnswer: -5683873.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*1*(4*(sqrt(112)*2*4 + sqrt(112)) + -5))**2 + -2)*-3.\nAnswer: -8710590 + 86400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -6 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 61. Give z(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-2)\/3. Let l(c) = -c**2. Let o be l(g). Let f = o - -3. Put -1, -4, f in ascending order.\nAnswer: -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - v = 30, r = -v + 80. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25454 divided by -1421\nAnswer: -25454\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.9 - -53. Let x = i - 0.02. Let r = -0.08 + x. Is r less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 967193647 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 + 1206*l**2 + 20114*l + 166. Calculate x(149).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 6. Let a be 1\/l - 5\/10. Let o = -0.088 - 35.912. Is o less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -5*b**4\/12 - 15*b**2 - 6*b + 33. Let s(h) = -18*h**2. Determine g(s(k)).\nAnswer: -1620*k**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 13*r - 24. Give q(-9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 120 = 10*h. Let b be 11\/2 - (-1 - (-20)\/h). Solve -2*v - 7 = -d + b, 5*d = 2*v + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -27*k - 43 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189505 - 236745.\nAnswer: -426250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.0413 + 1.9587. Is s at most 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151527282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 55*f**2 + 441*f - 19. Determine l(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1247320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-9)\/(-30)*(-25)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8597260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2958\/7 and 424 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**6*u*u)\/(u*u**2))\/(u**(-3)*u\/u**(-2)) assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1028 - -0.1. What is t rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 + -242. Let u = -50 + 47. Sort -179, p, u in decreasing order.\nAnswer: p, u, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13397.9602 rounded to the nearest one hundred?\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 778 + -778.04685. What is g rounded to three dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23498 and 8670700?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/(-24))\/(((-2)\/(-3))\/(-2)). Suppose -m - 18 = -2*m. Let s = -13 + m. Solve 4*n + 0 + 2 = s*z, p*n - z - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3642 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.9 and -4.65?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 11666.\nAnswer: -3\/5833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155110 and -0.84.\nAnswer: -130292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 39982662693674.\nAnswer: 39982662693679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*d + 35 - 147 = 0, 0 = d - 3. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*i - 57, 0*i - i = -4*n + 49. Solve -d = 2*d - n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20321*w = 581701 + 427129 + 47862 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83277652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320.572mm in kilometers?\nAnswer: 0.008320572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 5*l**2 + 4. Let y be d(5). Suppose k = -k + y. Let c(u) = u**3 + 2*u**2 - 2*u + 2. What are the prime factors of c(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229786944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-15) - 8\/60. Which is the closest to m? (a) 3 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 1. Let a be g(1). Let u be a + 39 - (4 - 3). Let n(k) = k**3 + 14. Let c be n(0). Calculate the highest common factor of c and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 divided by 3?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -698, -1053, -1408?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 34 = -26. Solve -2*g - 2*i = 10 - 0, q*g = -3*i - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 212*y**3 + y**2 + 2*y - 5. Let v(u) = -425*u**3 - 2*u**2 - 4*u + 9. Let p(l) = 3*v(l) + 5*w(l). Let b be p(1). Let r = 661 + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + i - 13 = 3*i, 2 = 2*i. Suppose -l + 16 = -2*u - 10, c*l + 4*u = 38. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 9*h**2 - 15 + 2*h**3 - h**3 + h**3 - 2*h**3 + (6*h - h - 4*h)*(-2*h**2 + 2*h**2 - 2*h**2) + h**3 - 2*h**3 - 3*h**3.\nAnswer: -6*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - 0.9. Let x = 0.5 + z. Is x not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22*((-1)\/1)\/((-78)\/39)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4 + 4. Suppose w - 4*h - 22 = 0, f = -2*w - h + 1. Put 0, -5, w in decreasing order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 5*o**2 + 12*o**2 + (-o + 0*o + 3*o)*(-3*o + 5*o + 0*o) + 2*o**2 - 6*o**2 + 3*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 - 30310331030?\nAnswer: -30310332033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 53*m - 117. Calculate the remainder when x(-15) is divided by 125.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*u + 22 = 0, -4*x = 3*u + 4 - 21. Suppose -30 = l - 6*l. What is the remainder when x is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617502.8 rounded to the nearest 1000?\nAnswer: 4618000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6426102?\nAnswer: 2, 3, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 57. Factor 2*x**2 - 2*x**w - 2*x**3 + 3*x**3 + x**3 - 2*x**4.\nAnswer: -2*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-33)\/u**(-17))\/(u**(-35)\/(u*u**0)))**23 assuming u is positive.\nAnswer: u**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**6\/10 - 3*c**5\/10 + c**3\/6 - 39*c**2 - c + 4. What is the second derivative of t(q) wrt q?\nAnswer: 36*q**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/11)\/(-2) - (-30 + 30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 532\/(-4522)*-51*(-65)\/30\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5251334nm in kilometers?\nAnswer: 0.0000000000005251334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 7. Suppose -5*z = -2*a - 21, -7*a = -2*a + 3*z - 25. Suppose v = a*b + 2*v - 58, -5*b = 4*v - 139. What is the remainder when b is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-160))\/((-1)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 192. Let b be g(-32). Let z be (-3)\/6*(0 - 10). Solve w - z = -b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/3)\/(1832\/1374). What is the nearest to 2 in 1, r, 0.3, 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87*(-5)\/90 - (-12)\/(-3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, -308, 452?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*t - 10, 5*t - 2*t + 4*o = 6. Solve 2*f - t = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let n = -156 + 158. Let o(d) = -214*d**n + 109*d**2 + 122*d**2. Calculate o(s(i)).\nAnswer: 68*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63896?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539868744?\nAnswer: 2, 3, 367, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 160.8. What is the nearest to b in -0.12, -2\/5, -2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10.09. Let g = -0.11 - y. Round g to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 + m - m + 0*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-1)\/2 + 4. Suppose l = -g*i + 7*i - 10, -3*l = 3*i - 24. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*((-44208)\/(-960) - 46)*-42.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 * 1.2.\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**7\/1050 - y**6\/150 + y**5\/75 - 32*y**3\/3 + 15. Let n(q) be the third derivative of z(q). Determine u, given that n(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 3*y**3 + 3*y**3 + (-6*y**2 - y**2 + 5*y**2)*(-2023 - 45*y + 2023) in the form z*y + l + r*y**3 + c*y**2 and give r.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27474 and 9462.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 75 = -b, 2*l - 8*b = -3*b + 33. Suppose 4*u + l = u. Is 3\/(-12) - 170\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0 + 5\/48*d**4 - 1\/2*d**3 + 0*d - 1\/120*d**5 - 15*d**2. Let q(u) = 0. Calculate u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4576437 and 1525479?\nAnswer: 4576437","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 yccyyccybccccyy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.3 - -8. Let s = 72 - 214\/3. Which is the closest to s? (a) h (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3 + -1 + 2. Let x be (2\/t)\/(((-18)\/12)\/(-1)). Sort 2\/13, 5, x in increasing order.\nAnswer: 2\/13, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 17 = 5*t + 13, 2*t = 4*v + 16. Let k(h) = 4*h. Let y(s) = -4*s. What is v*y(a) - 4*k(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382317 is divided by 944.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3002 is divided by 171.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -1\/8*z**4 + 0 + 0*z**3 + 0*z + 2*z**2. Let c(p) = 13*p. Let f(k) = 7*k. Let d(a) = 6*c(a) - 11*f(a). Calculate s(d(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-20) + (-1260)\/(-200). Let u(m) be the third derivative of m**5\/60 - m**4\/4 + m**3\/3 + m**2. Calculate u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + (sqrt(2736) - -2*(sqrt(2736) + 2))))*-4)**2 + 2.\nAnswer: 4608*sqrt(19) + 394242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/9*(-45)\/10. Let y be 1\/(4\/((-128)\/h)). Factor -10\/3*b**3 + 4\/3*b**2 + 0 - 2\/3*b**5 + 0*b + y*b**4.\nAnswer: -2*b**2*(b - 2)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-six fifths of a meter?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964427 is divided by 321340.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8823 - -25968. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265624329 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 15\/(-5) + 3170\/13. Let g = 243 - n. Is g less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3\/5 - 0. Suppose 0 = 4*h + 20, -w - 68 + 197 = 5*h. Let d be (-33)\/w - ((-10)\/14 + 1). Which is the nearest to d? (a) 0.2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 7*o**2 - 3*o + 0*o**2)*(-2*o**3 - 3 + 3).\nAnswer: 6*o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 6*t + 11*t + 15, -a = 2*t + 6. Let v = a - -5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/160544 and 67\/176.\nAnswer: 1765984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*k = 0, 0 = -s + 2*k + 7 - 25. Let d(h) = -6*h - h**2 + 2 - 4 - 5*h. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-3) + 8\/12. Let x(a) = 9 - 44*a**2 + 1 + 40*a**2 - 26*a. Let c be x(-7). Do z and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 5*c - 4. Let j be l(6). Suppose 6*h - 2*h + 48 = 0. Let o = h - -37\/3. Does j = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -266, -2240, -7758, -18662, -36794, -63996?\n\"Answer: -307*m**3 + 70*m**2 - 35*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166069087036.000000926 - 166069086710. Let g = -326 + m. What is g rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134821 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -2092, -4682, -8304, -12958, -18644, -25362?\nAnswer: -33112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}